diff --git "a/data/dm_maths/full_data/10168_11255.jsonl" "b/data/dm_maths/full_data/10168_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10168_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is greater: -1 or 2\/753705?\nAnswer: 2\/753705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 6. Let z be (0\/2)\/(6 - t). Suppose g - 13 = -z*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -6.76.\nAnswer: -17.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7 + 3 - 2*w + 4. Let b(i) = 3*i + 2098. Let a(g) = 3*g + 1748. Let j(x) = 6*a(x) - 5*b(x). Give j(y(h)).\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3 - o)*(-3 + 7 + 4).\nAnswer: -8*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, -12, 1, 11, -7 in descending order.\nAnswer: 11, 5, 2, 1, -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 11*l + 16. Determine p(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 11*l**2 - 12*l + 3. Give k(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - -49. Suppose n = 3*n - d. What are the prime factors of n?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -16*k**3 - 6*k + 5. Let y(s) be the third derivative of -s**6\/5 - 3*s**4\/8 + 7*s**3\/6 + 9159*s**2. Determine 7*q(f) - 5*y(f).\nAnswer: 8*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1555 = -338. Suppose 117 = -2*d + k. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 4*i - 1. Let m be l(6). Suppose 0 = -4*a + m + 5. Solve a*k + k - s - 3 = 0, 0 = 5*k + 4*s + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4203 * 0.3.\nAnswer: 1260.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -4)*(0 - -1). Let m be (-4 + 12\/3)\/x. Suppose 3*s + m*s = 84. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -208749\nAnswer: 104374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*c = -0*c - 24, -2*c = 8. Let q(i) = -3*i + 14. Let a(h) = -h. Let p(j) = w*a(j) - q(j). Let r be p(-12). Let d(s) = 6*s**2 + 2*s. Give d(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -68.2. Let v = 3 + -6. Which is the closest to 1? (a) 5\/2 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*k + 28275 = 8021 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10767?\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2828 divide 486232180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297)\/((-540)\/(-1320)*-6)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + 0. Let h = -1.4 + 0.9. What is the third biggest value in r, -1, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2702 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -7 + -6 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290403662?\nAnswer: 2, 5897, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2551*h + 2630*h = 1873*h - 125704 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -60. Let t be j\/(-2) + (-29)\/(-58). Solve 0 = -3*z - 4*m - 24, t = z - 4*m - 0 - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444971768*r**4 - 5829*r**2 + 799*r - 8.\nAnswer: -10679322432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 3. Let c = -166 - -171. Determine g(c).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 817, 1348, 1879, 2410?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 2606176.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/153 and 91\/5066?\nAnswer: 45594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 95 - 123)*(2 - 6 + 1)*(2 - 5 + 1)*(3*t + 0*t - 4*t).\nAnswer: -504*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 700 + 1158. List the prime factors of k.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -12) + (1 - (5 - -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -203896599 divided by -3?\nAnswer: 67965533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.135 and 5.\nAnswer: 85.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 19648084?\nAnswer: 98240420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*n - 6*x + 12, 0 = -4*n - 4*x + 16. Suppose n = -40*a + 53*a + 739700. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 0 (c) 140896 (d) -3\/7 (e) -5 (f) 2 (g) -4\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 2*h = -998, h = g - 249. Calculate the greatest common factor of 100 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 2. Suppose -8 = 2*s - s - 3*m, -s - 4 = -m. Let w(h) be the second derivative of 5*h**3\/6 + h**2 - 5*h. Calculate s*k(f) + 3*w(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from ttkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01703 in -4\/5, -2, 4\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*c + 9 = 0, 2*c + 6 = 3*v - 0*v. Suppose 50*q = 2*q - 46*q + 752. Put v, -5, -3, q in ascending order.\nAnswer: -5, -3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110007109 to 6 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 + 9 + -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 4*b - 5*b)*(4 + 2 - 5)*(-323*b - 5 - 2 + 322*b).\nAnswer: -2*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + d = -9*f + 5*d - 7*d - 9, 0 = -2*f - 6*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) 1 (c) -1\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111333090 rounded to the nearest 100000?\nAnswer: -111300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 96353 = -5*c - 15217, -3*x - c - 66934 = 0. Round x to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -14.96\nAnswer: 59.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -12338*v + 49130. Determine d(4).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 916139, 917120, 918755, 921044, 923987?\nAnswer: 927584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -58 (c) -1\/755\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 6*r**2 - 7*r - 8. Let d be u(-5). Suppose 3 = -3*v + 4*v. Suppose v*m - 1 = 8. Solve -q + 2*w = 0, d*q - 3*q = -m*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 34.5\nAnswer: 10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k**(-2\/7))\/((k\/k**(-3)*k*k)\/((k**(1\/9)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(-1019\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 37 = -4*f + 68 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 57*f**5 - 225*f**3 - 9894*f**2?\nAnswer: 120*f**3 + 3420*f**2 - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -21534, 0.4, -1, -5, 3, -1\/2, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -2\/5, -14\/3, -0.2, -1\/2?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 15 - (-26240)\/164. Solve -148*t - 63 = -l*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let m = 37.3 - 39. Let g = -5.7 - m. What is the second biggest value in g, w, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -87994.019\nAnswer: -8799.4019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 33 = 29*l. Let i(k) = 9*k + 8. Let y(g) = 18*g + 15. Let m(n) = 7*i(n) - 4*y(n). Give m(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -162320 rounded to the nearest one thousand?\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - -0.02. Let m = 9 + -11.2. Let j = u + m. Which is the third smallest value? (a) 3\/2 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 80 (c) -3 (d) 1.5 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26974 - -29979.2. Round w to the nearest 10.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619744 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69902 is divided by 197?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**3 + 3*m**2 + 3*m + 16. Is j(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**5\/60 - 2*q**2 - 5. Let o(y) be the second derivative of k(y). Let w(f) = -f. Determine o(w(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - 563?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51175 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 53.9 * 4\nAnswer: 215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14806 = -15*q - 27209. Let t = q - -4224. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 31*t - 980. What is the derivative of -10*b + 6*b**2 + 4*b**2 + t + 11*b wrt b?\nAnswer: 20*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 31, 52?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**3 + 2*b**2 + b. Calculate the remainder when x(-2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244595 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -25\/24, -3\/23, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/44 and -149\/2808.\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36223093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 5. Let t(c) = -c. Calculate -l(a) + 4*t(a).\nAnswer: -2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 - 181. Solve -2*b + 0*c = c + 3, -v*b + 10 = -c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0 - 3 + 5*k - 5*k + 10*k. Let o(h) = -h**3 + 5*h**2 + 4. Let i be o(5). Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*486852\nAnswer: 2434260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -24. Suppose 5*a - 2 = 4*b, 0*b - 2 = -t*b + a. Factor 6*y - b - 1 + 2*y - 4*y**2 - 1.\nAnswer: -4*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376534*f*z**4 + 2*f*z**2 + 15276*f + 3*z**4 - z**2 - 4*z + 3 wrt z.\nAnswer: -9036816*f*z + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -9, -589, -1.\nAnswer: -589, -81, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/120 + h**5\/20 - h**4\/8 + 2*h**3\/3 + 12*h**2. Give r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1691?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:37 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 87*c**2 - 6. Let a(d) = -29*d**2 + 3. Calculate -11*a(r) - 4*f(r).\nAnswer: -29*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -28*k - 16. Let t be a(-3). Let n = t - 61. What is the greatest common divisor of 56 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - 3) + 2)*-2 - 3. Put j, 3, -13 in increasing order.\nAnswer: -13, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byy when three letters picked without replacement from byy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179.1 - 179.08749. What is d rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 51712*b + 4912645. What is z(-95)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from testseeesesexseeeeet. What is prob of picking 3 e and 1 x?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 680 = 13*g. Let r(f) = 9*f**2 - 3. Let i be r(-3). Let j = i + g. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a factor of 462555856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 2518920.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 2*i**2 - i + 6. Let h(q) = -q + 3. Let o be h(1). Let a be z(o). Let s be (a + 3)*-1*3. Solve -3*x + 5*r = 0, -s*r = -2*x - 6*r - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1251 and 32943.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 28. Let l be v(0). Suppose -4*p - l = -3*m, -5*p + 0*p - 36 = -4*m. Suppose 0*j = m*j - 4. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -139138?\nAnswer: -3\/139138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 5*f - 1116. Let x = -112 + f. Calculate the smallest common multiple of x and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose 5*y = -4*k + 55, 3*k + v*y - 50 + 5 = 0. Calculate the remainder when k is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1797*j**2 + 3863*j**2 - 2070*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 238925 + 4*d**2 - 4*d - 238925 + 4*d.\nAnswer: -10*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.604 and -982.\nAnswer: -990.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 2413.833141 and 0.3.\nAnswer: 2414.133141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(-1)*3. Suppose 0 = b + w*a + 2*a - 14, 0 = 5*b - 4*a + 50. What is the smallest common multiple of 12 and (-2)\/b + (-106)\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32914 - 27209. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 735646*k\/3 - 5639600.\nAnswer: -2*(k - 367800)*(k - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -26 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6110\/27681 or -1?\nAnswer: -6110\/27681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 24 (b) -9\/5 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 3. Suppose -f - 3*f = -n. Solve 3*k + f*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 1903 + 93 = 9*i - 118 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, 3 in decreasing order.\nAnswer: 32, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 1\/29 (c) -22 (d) 2\/19 (e) -1\/4 (f) -5 (g) 845\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 8) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 2. What is v(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 0.1, -4, 77, 658?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z - 7. Let p(t) = t**3 - t**2 + t + 9. Let i be p(0). Is a(i) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6293287 and 2093?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0.08. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6193 - -6344. Solve 3*l - 160 + v = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 - 13*d**4\/12 + 92*d**3\/3 + 18*d**2. Calculate the remainder when m(-29) is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12241819.\nAnswer: 17, 23, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 4. Let o be w(0). Suppose -o*c + 2*h - 197 = 3*h, -5*h - 5 = 0. What is the common denominator of (-2)\/(-6) - c\/2 and 33\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -18884?\nAnswer: -35\/18884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/19)\/j**(8\/7))**(-11\/3))**3 assuming j is positive.\nAnswer: j**(1749\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53150.39 tonnes in grams?\nAnswer: 53150390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 523*b**2 + 526*b - 1048.\nAnswer: -(b - 524)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*u - 10, 4*u - 193 + 171 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.80571 millilitres?\nAnswer: 0.03780571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/16)\/((-68)\/(-544)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 140 = -c. Let r = 153\/2 - c. Find t such that 1\/2*t**2 + 0*t - r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368382.\nAnswer: 2, 684191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - -97?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5354103 + -1?\nAnswer: -5354104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(3) + 2*sqrt(3) + 1))**2 - (sqrt(3) - (sqrt(3) - sqrt(18)\/(sqrt(6)*-2))).\nAnswer: 13*sqrt(3)\/2 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 108 - 527. Suppose 33*h - 32*h = z. What are the prime factors of h?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -62, -127, -208, -299?\n\"Answer: d**3 - 17*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143368\/81 + -1770. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = f - 0. Suppose -34 = -w - 2*b + 2, -w - 4*b = -f. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377*d*v**2 - 2*d*v*x**3 + 25*d*x**3 + 5*v**3*x**2 + v**3 + x wrt x?\nAnswer: -12*d*v*x + 150*d*x + 10*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 12 = 4*m, x + 2*m = -4*x + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.8047 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h**2 + 2*h - 1. Let m(g) = g**2 - 3*g - 3. Let b be m(4). Is z(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*((-1 + 1 + 2)*(3 - 3 - u) - u + 272 - 272).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**2 - 17. Let g be n(-5). Let x = g + -264. What is the highest common divisor of x and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -573, -496, -277, 156, 875, 1952, 3459, 5468?\n\"Answer: 12*u**3 - u**2 - 4*u - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 - 238. What is the third derivative of -4*l**5 - 6*l + 4*l**6 + 87*l**2 - 3*l + k*l wrt l?\nAnswer: 480*l**3 - 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k + 3700. Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/((-28)\/(-63))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from uqquuqq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/68*(51\/42)\/17?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*k = 21, 5*k + 24 = -22*n + 23*n. Let w = 25 + -14. Let x = -15 + w. Which is the third biggest value? (a) n (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i**4\/2 - 1199459*i**3\/2 + 39968272505*i**2\/2 - 288599050509*i\/2 + 31079696823 = 0. What is i?\nAnswer: 2\/9, 7, 66633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 275588896 to the power of 1\/2, to the nearest integer?\nAnswer: 16601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 4*r**2 - r + 6. Let u be w(3). Let x(b) = 75*b - 5*b**2 - 8*b**3 - 146*b + 75*b. Let v(s) = 17*s**3 + 11*s**2 - 9*s. Give u*v(y) - 13*x(y).\nAnswer: 2*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78240961 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.358 take away -0.5?\nAnswer: -0.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157264 - -226652. What are the prime factors of x?\nAnswer: 2, 11, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -4*m, -5*d = -0*m - 3*m - 3. Let t = m - -7. Calculate the lowest common multiple of (11 - (-8 + 4))*(-96)\/(-60) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**3\/8 + 10812*j**2 + 3713781*j\/8 = 0?\nAnswer: -28789, -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517973 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d - 37. Let a be x(4). Suppose 15*f = 13*f - 12. Let w be f*(4\/((-24)\/(-22)) - 4). Put w, -41, a in ascending order.\nAnswer: -41, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 15*c + 10. Let h be y(-11). Let x = 69 - h. Solve -5*m + 2*m + x = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, y: 1, f: 5, q: 3}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2\/5 - 2771000*z - 2399512812500 = 0.\nAnswer: -1731875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 2286326\/879410) + (-4)\/10. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 1188*a - 176418.\nAnswer: -2*(a + 297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -101\/3, 2\/11, -1\/5, 5 in decreasing order.\nAnswer: 5, 2\/11, -1\/5, -101\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*z**5 - 896*z**4 - 268*z**3 + 832*z**2 + 464*z + 64 = 0. What is z?\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2020?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 4. Let n be w(-2). Suppose -3*a = k - 365, n*k + 3*k = -3*a + 373. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 33686 = -f - 33556 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 1252. Suppose d - 174 = k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.3952 years in centuries?\nAnswer: 4.613952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 884 - 820 - (23 + (-1 - 0))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11828 + -95417\/8. Let q = -99 - z. Which is the fourth biggest value? (a) q (b) -3 (c) -13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 925984 = -2*g. List the prime factors of g.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389740002?\nAnswer: 2, 7, 101, 982843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29152*s + 2332140. Calculate b(-80).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93498 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-5\/8)*y**18)\/(y\/(y\/y**32))**12)**(-1\/32) assuming y is positive.\nAnswer: y**(2907\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*y - 746 = 0, 26 = 2*c + 5*y - 353. Let n = -46 + c. What are the prime factors of n?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*s = 491*s - 160. Calculate the remainder when 237 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1181665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -1\/4, -1, 15, 1, -47?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -2*sqrt(3)*-5 - (-1*sqrt(300))**2.\nAnswer: -300 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/4 + 3*j**3 - 11*j**2\/2 - 22*j + 28. Let z be t(7). Let i(h) = 20*h + 1. What is i(z)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/10*((-36)\/(-6) + -2 - 48429)?\nAnswer: 2, 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7324.747 micrograms to milligrams.\nAnswer: 7.324747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3327 and -23\/206.\nAnswer: 685362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676700?\nAnswer: 2, 5, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3502342492.\nAnswer: 2, 11, 79598693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 + 5*v - 100 + 204 + 3*v**3 - 96. What is the tens digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16588 + -16548. Solve 17*p = w*p - 161 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 526.4 - 526. Let o = 6 - -1. Let t = 5 - o. Sort t, 4, l in decreasing order.\nAnswer: 4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -377\/7 or -55?\nAnswer: -377\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7052 + 2.7. Round l to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.338511 litres in millilitres?\nAnswer: 338.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070225 is divided by 414.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495431.5 litres to millilitres.\nAnswer: 495431500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -10*j**5 + 4985*j**4\/2 + 50235*j**3\/2 + 35005*j**2 - 10360*j = 0.\nAnswer: -8, -2, 0, 1\/4, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -406761 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 9*h**2 + 6*h - 2. Let g be m(9). Let j = g + -41. Calculate the lowest common multiple of 30 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(1\/5)\/o*o)\/o)\/o**20)\/(o**20\/o*o**(-2\/13)*o) assuming o is positive.\nAnswer: o**(-2512\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -0.61. Let r = 30 - 29.6. What is the nearest to 1 in -0.4, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 6603*s**2 - 16404927*s\/4 + 1322596779\/2.\nAnswer: -3*(s - 8146)*(s - 329)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70534 (base 9) to base 15.\nAnswer: db0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136818186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6896 and 107\/198260?\nAnswer: 793040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 102623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:07 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -5. Let u be (7533\/(-36))\/27 - -9. Put -0.1, u, -0.4, j in decreasing order.\nAnswer: j, u, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/n**(2\/19)*n*n*(n**(-1\/3)*n)\/n*n*n*n**(-2) assuming n is positive.\nAnswer: n**(374\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1158624 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/5 - 7677*a**3\/5 + 53577*a**2\/5 + 7701*a - 114840 = 0. Calculate a.\nAnswer: -3, 5, 2552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21505 - 23293. Is d less than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 2*u + 2*u)*(3 - 1 + 1)*(0 + 0 + u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*a + 36. Let o be (9\/(-3))\/(a\/(-4)). Suppose 5*d - 13 = -2*c, 2*c = -d - 2*c - o. Solve i = d*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*g**2 + 164*g**2 + 165*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 1 + 5. Let p = r + 34. Suppose 0 = 3*o - 3*q - p - 35, -5*o = 4*q - 65. What is the greatest common factor of 136 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2132)\/13)\/(8\/(-64)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let y(k) = 1 + 10*k**2 - 1 - 101*k + 109*k. Let z(s) = s**2 + s. Let h(t) = -y(t) + 8*z(t). What is n(h(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2. Let r(v) = 0*v - 3*v + v. Calculate r(z(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16743 + 80986. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*z + 0 = 8, 5*z + 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 404 + 446. Is 123144\/15 + v\/(-70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 + 2*y + 4. Suppose -4*i + 0*i - 26 = -3*m, -3*m = 5*i + 19. What is the remainder when x(-3) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*t + 1292, 3*t + 260 = 5*w - 744. Let z = t - -472. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 0.7 (c) 1 (d) -0.041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + -8. Let l be 2\/4 - 627\/38. Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2981.9999112 - -2982. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 + (-61)\/(-9). What is the greatest common factor of 77 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 50*y**2 + 335*y - 48. Determine v(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 955, 2.337, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102 + 10060?\nAnswer: 8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**6\/12 + 26*c**5\/15 + 17*c**4\/24 - 322. Factor s(r).\nAnswer: r**3*(r + 17)*(3*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -16. Let l = 61 - 55. What is the remainder when b is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - 0.17. What is the second biggest value in f, -0.3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 150*x - 2784. What is q(-129)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325992 divided by 141?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1279.\nAnswer: 5116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3190496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(45) - 1*sqrt(832))\/(6*-1*sqrt(144) + sqrt(144)).\nAnswer: 11*sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-27)*3*3. Suppose -6 = -b*l + 2*l. Solve -3 = -l*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-55) - (-47952)\/11880. Suppose -3*u + 3*r - 2*r + 14 = 0, 0 = -5*u + 4*r + 35. Solve u*l = -l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-24 - -10 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2 + 264*l + 544 = 0.\nAnswer: -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:19 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p**2 - 49*p**2 - 98*p**2 - 68*p**2 to the form q*p + k*p**2 + x and give k.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 46 + 76 + 546*u.\nAnswer: 546*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x = -0*x - 540. Let g(s) = -s**3 - 18*s**2 + 38. Let y be g(x). Calculate the highest common factor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 9.8, -0.5.\nAnswer: -0.5, -0.02, 9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/11 - 106939*n\/11 - 213874\/11 = 0 for n.\nAnswer: -106937, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2*p**2 + p**2 + (-3 + 3 - 2)*(-p**2 + 2*p**2 - 3*p**2) to k + b*p**2 + c*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*w**3 + 2*w**2 - 843*w**3 + 9*w**2 + 224*w**3.\nAnswer: -335*w**3 + 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73386.93ml in litres?\nAnswer: 73.38693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 + 1 + 1 + 2*k**2. Let w(i) = -8*i + 8*i - 4*i. Determine m(w(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -49. Let w be ((-40)\/(-50))\/(g\/5). What is the units digit of w + -3 - (2 + -76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1455, 5848, 13159, 23388, 36535, 52600?\n\"Answer: 1459*o**2 + 16*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/6 + 3*m**2\/2 - 2*m. Let k be p(3). Let y = -46 - -43. Put y, k, 5 in descending order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(144) - -3*sqrt(144) - sqrt(144) - sqrt(144))\/(4*-2*sqrt(2))*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-230)\/(-276))\/(5\/3). Which is the closest to x? (a) 1\/6 (b) -1 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145519 and 2321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from fixiixfifixifiii.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7) + (21 - 23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -593 - -609. Let k(b) = -48*b**2 + 1 + b + f*b**2 - 3*b. Calculate k(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 107771 and 2.03?\nAnswer: 107768.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {y: 3, p: 1, z: 1, h: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-2) + (20\/4)\/5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-80)\/(-96))\/((-25)\/(-20)). Which is the nearest to 2\/3? (a) q (b) 0.9 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, -34, 513, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26845, 105642, 236969, 420826, 657213, 946130?\nAnswer: 1287577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 2*a**2 - 2*a. Suppose -33*f = -37*f - 4. Let o(m) be the second derivative of m**4\/12 + m**3\/6 + m. Give f*n(b) - 2*o(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:26 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 2159787492.\nAnswer: 2159787492.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 51 = 0. Let f be (-3)\/408 - 6\/p. Is f smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 24*h + 2. Let g be r(24). Factor 6*f**2 + g + f + 2*f**2 - 9*f**2.\nAnswer: -(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/25663?\nAnswer: 2\/25663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 15. Let d(h) = 3*h**2 - 113*h - 45. Let o be d(38). What is z(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 53*z + z**2 - 1 + 17*z - 2*z**3 + 13*z + 5*z**4 + 3*z**4 as n*z**3 + b*z**2 + o + y*z + q*z**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.64 + 4.44. Which is the fourth smallest value? (a) 1 (b) 2\/13 (c) y (d) -0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 11 = 3*f, -4*f = -4*c - 7*f - 26. Suppose 0 = u + 6 - 3. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191)\/((-54435)\/(-45))*133?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i = 2*h + 23, -5*i + 7 = 2*h. Let c(k) = -5*k + 4*k + 1122*k**3 - 1123*k**3 + 2*k**2 + 4. Give c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i + 4. Suppose 4*z = 2*g - 8 - 12, 0 = 5*z + 5*g - 5. Give p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121020010 (base 3) in base 7?\nAnswer: -46326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 0 = r*d + d - 108. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 - w + 3. Let t be l(1). Let n be 4\/t*16\/(-6)*-3. Solve 4*b - n = 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n**2 - 4906*n - 34306. Give j(-7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -2*m**3 - 11\/4*m**4 + 6*m**2 + 3*m**5 + 0 - 11\/10*m**6 + 1\/7*m**7 + 4*m. Find q, given that v(q) = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241859 and 17425?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 577782706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.04, -2\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 11*o**2 + 29*o + 3. What is the units digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 6\/7, 2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.7 (c) 0.218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421233222 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(32) + sqrt(3)*3*-2 + (-1 + sqrt(3) + 3 - sqrt(27)\/(sqrt(72)\/sqrt(8))).\nAnswer: -11*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105103 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 15. Suppose 9 = -d*b + 3*b. Sort -4, b, -6.\nAnswer: -6, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, n: 1, u: 1, t: 5}. What is prob of sequence nz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -2*h + 1056. Let p = -225 + h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:42 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-40)*(-10)\/(-4). Suppose -5*m + 2*r + 18 = 0, -7*m - r + 4 = -s*m. What is the derivative of -5*d**2 + 4*d**m - 1 + 4*d**2 - 6*d**2 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18*u**2 + 21. Let i(n) = n**2 - 1. Suppose -2*k = -0*k. Let w be 6\/(-4)*(2 - k). Let f(v) = w*t(v) - 63*i(v). Let l(a) = -a. What is f(l(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950292.1 weeks to nanoseconds.\nAnswer: 574736662080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*y + 3 + 31*y - 3 in the form o*y + k and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/3*q**3 - 71 + 3\/2*q**2 - 8*q. Suppose -3*j + 8*j + 35 = 0. Calculate z(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 1. Let o(d) = 54*d - 120. Calculate 10*f(u) + o(u).\nAnswer: 4*u - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23 + 21)*2\/18. Let p = 0.3 + -0.4. Sort p, l, -4 in descending order.\nAnswer: p, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 + 2*u + 3. Let d be t(3). Suppose 31 = 2*g + 5*b, -g - 3*b + 0*b + 18 = d. Let i(v) = -v + 3. Calculate i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 27*k**2 + 9*k + 20. Let i be (-1)\/(69\/(-72) - -1). Let p be h(i). What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7172 - 3543. Let k = 8229 - l. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 11, -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11325183*a**3*t**3*y - a**3*t**2*y + 271*a**3 + 83*a**2*t**2*y + a*y wrt t?\nAnswer: -67951098*a**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192195, 384404, 576613, 768822, 961031?\nAnswer: 1153240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9167, 9169, 9167, 9161, 9151?\nAnswer: 9137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - 54 - (-187 - -206)) + 4\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + m = -1140, -475 - 2366 = 5*d - 2*m. Let q = 2253 - 797. Let j = q + d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39658*h**2 - 39585*h**2 - 9*h**4 + 3*h**4)*(2*h + 2*h - 3*h).\nAnswer: -6*h**5 + 73*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 4:46 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 12, q: 1, c: 3, t: 1, e: 2}?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 22*y - 4. What are the prime factors of k(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 1195950 = 3*v. Round v to the nearest one thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5340, -5\/4, 0.44 in decreasing order.\nAnswer: 4, 0.44, -1, -5\/4, -5340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2*x - 1)*((-3*x + x - x)*(-2 + 8 - 1) - 3 - 5*x + 3)*(0*x + 7*x - 28*x) in the form t*x**3 + m + f*x + l*x**2 and give l.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -71 + 127*x + 139*x - 387*x + 127*x. Let g(t) = -2*t. Determine g(z(w)).\nAnswer: -12*w + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -20*i**3 + 3*i**2 + 12*i - 20. Let a(r) = -r - 10. Let w be a(7). Let b(h) = 7*h**3 - h**2 - 4*h + 7. Let d(p) = w*b(p) - 6*y(p). Calculate d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172 is divided by 693.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10287?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/94725?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 352.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18140 plus -101305.01?\nAnswer: -119445.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3290 (base 10) to base 12.\nAnswer: 1aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1960 and 3920.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -68*f + 163. Let i be 1\/(-3) - 200\/(-6). Let t = i - 18. What is the remainder when b(2) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182980 rounded to the nearest one thousand?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -6\/17*h + 2\/51*h**3 - 2\/17*h**2 - 59. Factor c(t).\nAnswer: 2*(t - 3)*(t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-6)\/(-8) + (-40)\/(-160))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 3135?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 445131 + 205?\nAnswer: 445336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*o + 124 = 0, i - 5*o - 14 - 5 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(432) - (sqrt(432) - (5*sqrt(432)*-4)**2))*5.\nAnswer: -180*sqrt(3) + 863995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27638544331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*f - 30*f - 144. Suppose -94 + 13 = -l. Let v = l - f. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 105, -2, -6, -5 in descending order.\nAnswer: 105, 7, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*(-30)\/20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.091 - -0.091. Let k = b + 10. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*m + 290 + 53 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3427103, -3427112, -3427121?\nAnswer: -3427130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 5*b**4\/3 + 2*b**2 + 3*b - 19. Find the first derivative of k(q) wrt q.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 20.76727.\nAnswer: 2.076727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + (-6)\/(-9). Let a be 0\/(s + (-4 - -1)). Suppose 0 = -p + 2*q + 8, 4*q - 4 + 0 = a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-56) + (-1)\/4. Suppose -4*w - 6 = 3*s, s = 2*s - 5*w - 17. Let v = 4 + -4. What is the nearest to 0 in v, d, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 2*c - 523 - 4*c**2 - c**2 + 528. Let j(n) = -2*n**2 + n + 2. Give -2*d(a) + 5*j(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125898, 251802, 377706, 503610, 629514?\nAnswer: 755418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*z - 21, -z - z = -3*l - 1. What is the remainder when 10 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42333 + -42336.5477. What is b rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8028 and -53\/3213876.\nAnswer: 9641628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 6 - 1)*(-2*w + 5 - 5)*((1 + 2 - 5)*(-5 + 5 + 2) - 5 + 1 + 3 - 18 - 27 - 6 + (-4 - 1 + 3)*(0 - 3 + 4)) to t + p*w and give p.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032 and 12850206?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94 take away -97606867.27?\nAnswer: 97606866.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.7021m to nanometers.\nAnswer: 77702100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10138 and 13974?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w**5 - 48 + 5*w + 48 wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 620.7529 years?\nAnswer: 62.07529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/165042 and 91\/3114.\nAnswer: 165042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1838607, -1838619, -1838639, -1838667, -1838703, -1838747?\n\"Answer: -4*l**2 - 1838603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 4) to base 15.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1743250 and 9.7.\nAnswer: 16909525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.326. Let b = i - 27.974. Let l = b + 27.999924. What is l rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 7*f - 4. Let v(d) = -d**3 - 4*d**2 - d + 2. Let r be v(-4). What is m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/3)\/b)**(-1\/5))**(-8\/7)\/(((b\/b**(-1))\/b)**14*(b**1)**(-9)) assuming b is positive.\nAnswer: b**(-517\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7501682 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -546\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 130. Which is the second smallest value? (a) -0.2 (b) v (c) 3 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, -1, 20, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (1 - 0\/(-1)). Let b be (-4)\/14 + (-88)\/(-14). What is the third derivative of -11*k + b*k + 5*k - 5*k**w + 4*k**2 wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*2667\/(-1651))\/(1*1\/(-2)*-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 16*p**3 - 5*p**2)*(2 - 4 - 6)*(-3 - 1 + 1).\nAnswer: 384*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/14 of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g - 54*g + 26*g + (-g + 0*g + 0*g)*(0 - 2 + 0) - 3*g + 5*g - 4*g + 5 - 5 + 3*g + (2 - 2 + 2*g)*(5 + 1 - 4) to j + o*g and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1066 - 1066.000861. Round b to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438525 and 2385?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-12)\/16*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13482942 divided by 1686.\nAnswer: 7997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (6 + -4 + -9). Let n be i - (-4)\/56*-50. What is the second biggest value in n, -9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let h(r) = -9450868*r**2. What is h(a(c))?\nAnswer: -9450868*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 30 = 6*o. Suppose -5*l + o = r, r = -3*r + 20. Solve -l*v - 5*i = -14, v + 4*v = 5*i - 35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-36))\/(9\/24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0361 and -0.013.\nAnswer: 0.0004693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 5*b + b + 1 - 1 - 2*b + (4 - 1 - 5)*(-b - 4*b + 6*b) - 3 - b + 3)*(0 + 10 - 3)*(-2*b + 2*b + b**4).\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1812*f**2*t**3 - 907*f**2 + 2*t wrt t?\nAnswer: -10872*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 1 + 1 - 4*j**4 - 2*j**2 - 4 in the form h*j**3 + q*j**2 + n + b*j**4 + a*j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148511734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -289 + 289. Suppose c + 5*i - 160 = 202, 5*c - 3*i - 1810 = h. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 0, 11\/96, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j**3 + 1\/6*j**4 + j - 30 + 0*j**2. Determine n, given that d(n) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0649 to three decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2470? (a) 0 (b) -5 (c) 2\/7 (d) 2.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*m - 690, -4*z + 5*m = -z - 422. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 + 8 + (-1 - 12) and (-6)\/(-27) - 2065\/(-900)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208\/651 - -3\/217. What is the second biggest value in 3, 0.17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1030335 * -0.14\nAnswer: 0.01442469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28147 + -506771\/18. Find the common denominator of 4\/(-10) + (-556)\/360 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4 + 3 - b + 0. Let z be k(5). Suppose r - 3 + 0 = z*s, -5*r - s = -26. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 2*m**2 - 3*m**2 + (-3*m**2 + 9*m - 9*m)*(9 - 9 + 14) in the form x*m + r*m**2 + o and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n**5 + 8930*n**4 + 24202*n**3 + 19096*n**2 + 1271*n - 2546 = 0 for n.\nAnswer: -1273, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.59 + 27. Let x = v - 0.01. Let i = 0.3 - x. Sort 2, -4, i in decreasing order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1 - (-208)\/26)\/4. Let b(h) = 6*h**3 - 2*h. Let m(y) = 5*y**3 - 3*y - 1. Give f*m(p) - 3*b(p).\nAnswer: -8*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(8))\/sqrt(6) + 0 + 3 + sqrt(245) + 2)**2.\nAnswer: 80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.26 + -0.26. Let p = r - 3.5. Which is the third biggest value? (a) -3\/4 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242*p - 410*p - 382*p - 1168*p)*(0 + 0 + 2*p**2)*(2*p + 2*p**2 - 2*p).\nAnswer: -6872*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 1 = -3*z. Let i be (2 + z\/3)\/(12\/(-54)). Let g(q) = 2*q**3 - 9*q**2 + 3*q - 18. What are the prime factors of g(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ije when three letters picked without replacement from {j: 3, e: 1, l: 2, i: 2, r: 4, g: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/3 + 5009*w\/3 = 0.\nAnswer: 0, 5009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -61. Suppose -n*j - 454 + 3218 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5888)\/(-43710) - 28\/210. Let m = 4325\/33511 + u. What is the nearest to 1\/4 in 4, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**2. Let s(d) be the first derivative of -2*d**3\/3 - 4. Give j(s(f)).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from rdubxbi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26286728571894 - 26286730758525.9499961. Let m = 2186631 + o. Let c = m + 0.95. Round c to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -194\/2427?\nAnswer: -194\/2427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 + 104*j - 12. Let x be f(-21). Sort 1, -2, x, -3 in ascending order.\nAnswer: -3, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 7*o - 114 = 0. Let l(i) = -i**3 - 5*i**2 + 8*i + 12. Determine l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 3*g**2 - 15*g + 28. Let a be y(5). Suppose 3*r + a*q = 3, -r + 36*q + 16 = 34*q. Which is greater: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*l - 2\/7*l**2 - 83006 = 0. Calculate l.\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1. Let u(w) = -2. Let v(j) = -7*b(j) + 4*u(j). Let g(d) = -4 + 6*d**2 + d**3 - 3*d**2 - d - 2*d**2 - 2. Let q(n) = -g(n) + 5*v(n). Factor q(z).\nAnswer: -(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2660 divided by -35\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-50 - -20) + 0 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996449, -1992858, -2989267?\nAnswer: -3985676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-11)*t*t**(2\/17) assuming t is positive.\nAnswer: t**(-168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, -3\/2837, 1\/7, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 25. What is the remainder when 3 is divided by (-20)\/x*9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/9)\/(64\/1728)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -1 - 31. Suppose -4*b + h + 105 = 0, 6*h + 115 = a*b + 3*h. Determine m, given that -12*m + b - 9*m - 5*m**2 + 3*m - 2*m = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4*(-128)\/528. Let x = 0 + -0.1. What is the nearest to x in q, -1, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j*(j**(1\/5)*j*j)\/j))*j\/j**(3\/4))**40 assuming j is positive.\nAnswer: j**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 - 2. Suppose -w = -3*w - 6. Suppose 8*c - 34 = -10. Let a(g) = -c*g**2 - g**2 + 3 - 6. Determine w*m(v) + 2*a(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhguuhhhhmhuhhuhghy. What is prob of sequence yd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5849*i - 73241. Give j(12).\nAnswer: -3053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 5*h - 2. Let n(t) = 8*t**2 - 4*t + 3. Determine -3*g(d) - 2*n(d).\nAnswer: -4*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + (-2)\/6. Suppose i = 3*g - 1 - 2. Suppose -x + 7 = -g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3168) + -1*sqrt(3168) - sqrt(22))\/(sqrt(99) - -1*sqrt(99)) + 3)*-4)**2.\nAnswer: -16*sqrt(2) + 1304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 58*d**2 - 29*d + 17. Let o be j(15). Solve -46*w + 126 = -o*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13023*w**3 + 13024*w**3 + 127*w**2 - 127*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*g + 15, 4*b - 23 = g - 3. Solve b = 5*m - 10*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82720 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.6318ml in litres?\nAnswer: 0.2826318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 9*w + 2. Let a be u(-6). Let d = -16 + a. Let z(c) = 5*c**2 - 3*c - 3. Let h(t) = 3*t**2 - 2*t - 2. Give d*z(s) - 7*h(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2711658.\nAnswer: 18981606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149541799111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278767 is divided by 1129.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3. Let w = -15 + 9. Let g be w\/9*(-3)\/(-2). Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-15.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.1, 2\/13, 2, 1\/12, -14\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/(7\/(-21)))\/(627\/(-2090)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 - 3*r - 23. What is the remainder when i(-7) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 3. Suppose -2*c + 9 = 3*i, 3 = 3*c - 2*i - 17. Let f be x(c). Let k = 23 - f. What is the least common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655414*f**2*v**3 - 8524*f**2*v**2 - f**2*v - 2*f**2 + 81*f*v**3 - 2*f*v**2 - 2*f - 2*v**2 wrt v?\nAnswer: 3932484*f**2 + 486*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018843171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1920.6476224 and -6.\nAnswer: 1914.6476224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171847 or -171863?\nAnswer: -171847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13*c - 75. Let v be k(-6). Let a be 2 + v - (-277 + 2). Suppose 44*q - a = 43*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o**2 - 2*o)*(-o + 0*o + 0*o) + 2 - 2 + o**3 + 32*o - 45*o**3 - 32*o + (2 - 7 + 3)*(0*o**3 + o**3 - 2*o**3) - 2*o**3 + 0*o**3 + 4*o**3.\nAnswer: -38*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080 divided by -708?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 + 138.5. Let k = o + 93.29. Round k to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42001 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.8 - -40. Let y = -18 - 9. Let x = 26.8 + y. What is the second biggest value in 2, f, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 5*f + 1, -5*s - 12 = -2*f - 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 9*o - 8. Let x be g(-8). Let t = x + 15. Calculate the highest common divisor of t and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 77625?\nAnswer: 77623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/23? (a) -1\/2 (b) 0 (c) -0.6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-1) + 50\/2 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105545507 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 7*l**3\/6 + 20*l**2 - 4*l + 18. Let o be k(-5). Solve w + 4*w = -o*i - 5, -4*w + i - 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*0.115.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22701 is divided by 284.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - x + 0*x + 4 = 0, -4*u + 28 = -2*x. Solve 5*h + 1 = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 117*a + 156. Let u(h) = -378*h - 472. Let b(j) = 16*t(j) + 5*u(j). Calculate b(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 744*t**4 + 7581*t**2 - 3786*t**2 - 3795*t**2 + 3*t**4 + 0*t**4 - t**4 + (-2*t**2 - 3 + 3)*(-t**2 + t**2 - 2*t**2) + 2*t**4 - 2*t**4 - t**4.\nAnswer: 749*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4742162\/2435 + -1\/4870. Let w = 1990 + o. Calculate the common denominator of ((-1)\/((-2)\/(-54)))\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f - 144*f - 66 + 43. Is 39 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465336741 to the nearest integer?\nAnswer: 21572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s**3 + 4*s. Let y be (-2946)\/12 + 1\/(-2). Let n = y + 242. Let j(r) = 21*r**3 + 7*r. Determine n*j(m) + 7*l(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 3. Let i = 1 + -6. Let w(d) = -d - 3. Let f be w(i). Let p be s(f). Solve -g + p - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010010 - -100101011000011001100?\nAnswer: 100101011001101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/12*12\/(-10). Solve -2*v + 6*v + 14 = -z*j, 11 = -4*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) - 2725\/1417*16\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (11 - 8) - 27 - (-1 + -7) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 - 2. Let f be z(2). What is the greatest common divisor of f and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 6 = -3*t - 731*a + 729*a, 0 = -t - 10*a + 48 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 237 - 348 = 0. Let u = t + -114. Suppose 0*n = -4*n. Sort u, n, -2.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (17 - -2)) + 1. Let k be 52\/9 - 4\/c. What is the second derivative of -3*m - 4*m**3 + 5*m**3 + 3*m**3 - k*m**3 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)*t*t**(-8)\/t*(t**(4\/7))**27 assuming t is positive.\nAnswer: t**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:28 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4373302268.\nAnswer: 2, 1093325567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*m = -136, -4*n + 113 = 4*m + 1. Let l be n\/(-30)*15\/(-6). Factor -3*q + 151*q**3 - 78*q**3 + 3*q**4 + 9*q**l - 82*q**3.\nAnswer: 3*q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 1066.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38 - -1 - 6\/(-2). What is the greatest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(((s**(-2\/3)*s)\/s)\/s))\/s)\/(s**(2\/3)\/s)*(s\/(s\/s**(-1\/4)*s))**(-13\/6))**(1\/32) assuming s is positive.\nAnswer: s**(137\/768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 2:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2707992 * 0.042.\nAnswer: -113735.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.731586 months in years?\nAnswer: 1.0609655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 6, h: 2, r: 1, c: 1}. What is prob of picking 2 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386 and 2?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1661 = -4*z + 3*n, -n + 0 = -5. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c**2 + 13*c - 8. Let j(k) = 6*k + 3*k**2 - 4 - k**2 + 5*k**2. Let p(y) = -13*j(y) + 6*m(y). Find the first derivative of p(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:32 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2624413 divided by 138127\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4989985 is divided by 1679?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -44. Suppose j - m - 2 = 0. What is the greatest common factor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.5 - -2.5. Let x = -14 + a. Which is greater: -3\/8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7368688, -29474749, -66318184, -117898993, -184217176?\n\"Answer: -7368687*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191\/146 - 14\/73. Is b greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/774 and -37\/585.\nAnswer: 50310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*h - 4*l = -506*h + 125, -19*h + 16*h = -l + 4*l + 126 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 6956822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(77) - sqrt(77)))\/((sqrt(33)*2)\/sqrt(3)) + 2 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 213 (b) 14921 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -15. Suppose -z + 5 = -3*w. Solve -w*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 29*u - 58*u + 32*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -302022013?\nAnswer: -302022003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/4, -27\/8, 0.5, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -71*g + 2. List the prime factors of a(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807041209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, -4*k + 12 = 5*l + 73. Let w = 12 + l. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 7567?\nAnswer: -7605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376302100?\nAnswer: 2, 5, 41, 91781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 835*g + 24 + 776*g - 1614*g - 10*g**2 in the form o*g + q + b*g**2 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52964489 bigger than 52964489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15063096 and 5490.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/9 - 11440\/(-24)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -o. Let z be (-1 + 8\/1)*-1. Let u = o - z. Calculate the least common multiple of u and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 4310\/100)\/((-70)\/(-15) - 7).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4563 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 w when three letters picked without replacement from xwgxxepxfxpxxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261888 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31495950646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/1341 - 454\/9387. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 20*h + 40. Let s(c) = c**2 + 12*c + 7. Let i be s(-13). Calculate the least common multiple of 50 and w(i).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.8 + -25. Let i = 7 - s. Suppose 3*n + 11 = 5*h, -13 = 2*n - 3*h - 6. What is the nearest to -0.1 in n, i, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one quarters of a millennium?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*j + 77, -25 - 14 = -2*d + j. Let r(x) = x**2 - 2*x - 4. Let s be 6\/(-4) - 12\/24. Calculate the smallest common multiple of r(s) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 - 7*z**3\/3 - z**2\/2 + 10*z - 4. Let w be d(7). Calculate the highest common factor of 33 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 55*m = 172. Solve 15 = -u + 2*x + x, -5*u = m*x - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from oooovzoouoooz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 0 - (20 - (-52 + 49)\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-204 - 447 - 11 - 748 - 75 - 144)*(-w - 11*w + 0*w) in the form z*w + f and give z.\nAnswer: 19548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -3*s - 9*s. What is the smallest common multiple of (-1 + 16*1)*(-58)\/(-145) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -33*d + 1. Let y(j) = -34*j + 1. Let x(s) = t(s) - y(s). Let g(p) = 88*p. Give g(f) - 110*x(f).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 2*m**3 + 1100 - 3*m - 1102. Let i = 137 - 135. Is h(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.4 + -88. What is m rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 53*u - 54*u. Solve u = 3*n - 3*r + 1, -5*n - 3 = -3*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 3 (c) 0.1 (d) 2 (e) -16.82 (f) 0.2 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.49, -1\/16, 2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 37*q - 31. Is v(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/2 + k**3\/2 - 6*k. Find the second derivative of b(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.79 and -314.973.\nAnswer: 3083.58567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeeeeed. Give prob of sequence eede.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - -13 - (49 - 42) - 23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((1710\/(-645))\/114).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 350?\nAnswer: -1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*v - 1958 + 936 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/14 + 236*(-25)\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8202432 (base 11) to base 5\nAnswer: 12202412041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 2, a: 2, e: 1, o: 2, q: 1}. What is prob of sequence eod?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14627 + 14329. Which is bigger: k or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506098 is divided by 723?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2 - 4*l - 5. Suppose 85 - 25 = 2*p. Suppose -v + 5*k = p, -25 = -v + 2*v - 4*k. What are the prime factors of j(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3928 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 58.053. Let s = -1.053 + q. What is the third smallest value in -1\/2, -1\/14, s?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 9)*-6*5\/(-90). Let p be (-2)\/i - 749\/(-21). Calculate the greatest common factor of 175 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 12 = -12. Solve u + 5*b - 20 = 0, 4 - 1 = 3*u - f*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/504420 and 97\/1405170.\nAnswer: 19672380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 3*j + 0*j)*(4 - 2 + 0)*(4 - 3*j - 4) + 1 - 1 + j**2 to the form r*j + h*j**2 + b and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6959032 is divided by 1391801.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248279 divided by 8009.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 3*g. Let y be (-160)\/90 - (-2)\/(-9). Let b be f(y). Suppose -5*q = 4*j - 83 - 180, 2*j - 104 = -b*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -27. Let f = -33 - n. Solve 0 = 5*k - 4 + f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -39*c + 362. What is l(10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 120*j - 35 = 109. Sort -32, j, -41 in descending order.\nAnswer: j, -32, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5881*o**2 - 11735*o**2 + 5890*o**2 - 33*o - 3*o**3 = 0. What is o?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/414 and -76\/27.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2039.032449 to 0 decimal places.\nAnswer: -2039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -81 + 1001. Calculate the remainder when z is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/11, -6, -282?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1335 or -1337?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1\/11, -0.3 in decreasing order.\nAnswer: 5, 4, 1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 2, 9340, -24 in descending order.\nAnswer: 9340, 63, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001747 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r*r**(-1\/5))\/(r**(2\/5)\/r*r*r\/(r\/r**(2\/3)*r)*r)*(r**(1\/2)*r)**(4\/7)\/(r*r**(2\/5))**(2\/83) assuming r is positive.\nAnswer: r**(-64868\/8715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(4 - 3 - 5) + 0 + 2 - 3 - 1 + 4 + 6)*(3*d - 3*d - 2*d**3)*(-1 + 1 - 7*d**2).\nAnswer: 168*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -89, -139, -203, -287, -397, -539, -719?\n\"Answer: -w**3 + 2*w**2 - 41*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -651, -1732, -3315, -5400, -7987?\nAnswer: -11076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d - 475. What is the remainder when y(31) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5809614*g**2. Let r(v) = 17*v**2. Determine a(r(t)).\nAnswer: 1678978446*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - 4*q + 51. Does 42 divide v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 4*j. Let y = j + 3. Suppose -7*m = -y*m + 69. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.89479 + 0.10521. Let m = -0.1 + 0. Which is the closest to m? (a) -1\/5 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82\/6 + 36\/108. Suppose -11*z + c*z - j - 38400 = 0, 5*j - 63980 = -5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 4 = h, -103*h = -100*h - 3*p + 4*p + 4*p - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(408\/(-100) + 4). Which is the nearest to -2\/3? (a) -3 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12928\/18 - (-6)\/(-27). Let n be (-45 + 57)*1597\/(-2). Let h = n - k. Round h to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5409819 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 + h**4\/8 - h**3\/2 - 35*h**2. Let x be f(0). Let v = x - -3. Which is bigger: v or 8\/19?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8 and 101\/188?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326 is divided by 430?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 3}. What is prob of sequence fff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:39 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533 = 1636*s - 1709*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-2470)\/845))\/(2\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 8*d - 7. Let j be h(6). Let t = 201 - j. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 + -0.3. Let z = l + 4.95. Suppose 1 = -s - 3*s + 3*g, 4*s + g = -21. Put s, z, 0.2 in ascending order.\nAnswer: s, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63667 times 144?\nAnswer: -9168048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*x - 5*g + 120, 2*x + 13*g - 120 = -2*x + 8*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 13035 = -5*j - 5*h, 0 = 2*j - 5*h - 5228. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1\/4))**(2\/93)\/(x*x**(1\/2)*x)**9)**(-2\/155) assuming x is positive.\nAnswer: x**(4178\/14415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-130.24.\nAnswer: -390.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose -49*y = -44*y - 95. Suppose -j*x - y = -70. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 32 - (-1 - -1). Suppose -2*n - f = -4*n. Let k = 24 - -7. Calculate the remainder when k is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90016 - 32923. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-63)\/((-81)\/9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34402831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 167*m**6\/30 + 461*m**4\/2 - 3266*m. Find the third derivative of b(z) wrt z.\nAnswer: 4008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/315*-15*2772\/(-88)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + s**2 - 4*s**2 + 2*s**2. Suppose 0*k + 1 = -k. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*y**4 - 12\/5 + 44\/5*y + 24\/5*y**3 - 56\/5*y**2 - 4\/5*y**5.\nAnswer: -4*(y - 1)**4*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1224865*o**2 - 1224865*o**2 - 2736*o**3.\nAnswer: -2736*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 3*u - 25. Let f(r) = -1 + 4 + 3 - r. Let l(c) = -2*d(c) - 9*f(c). Is l(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 73 + 44 - 2*o**4 - 7*o + 35 to the form r*o**2 + x*o**4 + f*o + i*o**3 + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 23. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357.7*64.267.\nAnswer: -22988.3059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 1404*f + 34281. Determine k(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heye when four letters picked without replacement from eeyyyeyyyheyee?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/1938*51*(-20)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + 69. What is the highest common factor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5661 divided by -30?\nAnswer: -1887\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 290 + 11?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1284466 > -1284432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 27722721?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 690 = 10*q. Let t(k) = -6*k + 1. Let y be t(1). Let s = q + y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -15. Let l be 2\/(y\/6 + 3). Suppose 0*f + 76 = l*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1381\/7 + 197. Let d = 2 - 1. Let u = d - 1. Which is the second smallest value? (a) p (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5410, -7148, -8826, -10414, -11882, -13200?\nAnswer: -14338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 3 - 1 - 4. Let j be i(4). Let c = 16 + j. 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: Let n(d) be the second derivative of -13*d**4\/12 + d**2\/2 + 3*d + 4. Let t(z) = -30*z. Calculate n(t(k)).\nAnswer: -11700*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-10))\/((-12)\/40). Suppose -3*s - 5 = -2*b, i*b = -b - 4*s - 1. Let n(w) = -3*w - 4. Let d(m) = 1. What is b*n(r) + 3*d(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5 + 7)*(0 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -17 - (-7 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/9 + 784*h**4\/3 - 23548*h**3\/3 - 395672*h**2\/9 - 189998*h\/3 - 27480 = 0.\nAnswer: -3, -1, 36, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 14) in base 11?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7805406 to 3 decimal places.\nAnswer: -2.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 8 = -3*w, 388 = -54*y + 265*y + 2*w - 565 + 101 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (18 - 6) + 1 + -5 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.61, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 72*a**2 - 23*a - 148. Let y be u(-7). Suppose 5*l - y = 4*w - 8*w, -877 = -w - 4*l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nccccn. What is prob of sequence nn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37783.\nAnswer: 37783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60326807 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 49 = -w - 5*x - 6, 63 = -3*w + 3*x for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 18\/35 and -1805 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55631548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -33. Calculate the remainder when 61 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33975 and 837225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*d + 26 = 0, -2*s + 90029*d + 52 = 90025*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 50. Let b be k(13). Solve -2 - b = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 875.6132 kilometers?\nAnswer: 87561320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 49305?\nAnswer: 2\/49305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 531259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043865884.\nAnswer: 2, 3, 2087, 81611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(128) + sqrt(128)))\/(3*sqrt(32)\/sqrt(2))*-1.\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 greater than or equal to 798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/378396740 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 1. Let s(b) = 1. Let f(h) = -2*s(h) + y(h). Suppose 0 = -o - p + 6, 5*o = 2*p + 3*p + 20. List the prime factors of f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -14, -468, -3\/317.\nAnswer: -468, -14, -0.8, -3\/317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 0.6. Let f = 0.3 - 5. Let r = 0.7 + f. Sort 0, r, m.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y - 5*y + 10*y + 13*y + 14*y)*(69 - 69 + 18*y) in the form a*y**2 + v*y + h and give a.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.179977 to four decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*q + 18. Let m = 16 - q. Find the third derivative of -w**4 - m*w**2 + 0*w**4 + 0*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 1}. What is prob of picking 1 y and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2371, -3992, -5529, -6940, -8183, -9216?\nAnswer: -9997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 108. Let p be k(0). Suppose -h - 4*l = -2*l - 40, -3*l = -2*h + p. Let d be (-4)\/6*h\/64. Which is the closest to d? (a) -2\/9 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/(-364)*21*(-1)\/((-2)\/(-1140)). What is the highest common divisor of 135 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/23819658 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*-1)\/(1*-4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130781273 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10*w**2 - 1)*(0 + 0 + 3*w**2) + (4 + 0 - 6)*(0*w**3 + 0*w**3 + 2*w**4).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -110*s**3 + s. What is the units digit of d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 719*c**3\/3 + 4591*c**2 + 13917*c. What is the first derivative of z(r) wrt r?\nAnswer: 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 548\/3 - (-4)\/(-9)*-3. Suppose -3*l + 110 = -k. Suppose 3*s - 2*a - 76 - 262 = 0, -3*a = s - l. Calculate the highest common divisor of s and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1 + sqrt(75))*-2)**2 + 0).\nAnswer: -240*sqrt(3) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -170*g - 13. Let l(d) = 170*d + 14. Let i(h) = 3*k(h) + 2*l(h). Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 - 45*h**3 - 864*h**2 + 13056*h = 0 for h.\nAnswer: -17, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21550 - 2379. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + b. Let c be p(-1). Solve -2*j = c - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12484077 (base 10) in base 7?\nAnswer: -211053504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12)*-18 - -3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94620 and 911220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10291985?\nAnswer: 5, 11, 187127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.126 - 53.126. Let b = g + 55. Which is smaller: b or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 1. Let q(x) = 14*x - 9. Let s(l) = q(l) + 6*z(l). Let w(u) = -9*u + 3. Give 7*s(f) + 6*w(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 25 - 21 + 22 = -2*c, -20*c - d + 279 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-9) - (-3932)\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 10, j: 6}. What is prob of sequence bbxx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(2*3)*2. Let b be (-6)\/(u + (-2)\/1). Suppose -b*p + 5*p = -1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))**34\/((a**(6\/7)*a)\/a**6) assuming a is positive.\nAnswer: a**(859\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 1. Let i(q) = 4*q**3 - 3*q**2 - 5. Suppose 0 = -366*t + 322*t + 132. What is t*x(c) + i(c)?\nAnswer: 4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650 less than -69.67836?\nAnswer: -7719.67836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -2 + (-3)\/(-1). Suppose 2 - n = -k. Suppose -3*p + 4*y + 22 + 9 = 0, -k*y = 2*p - 16. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -257152.\nAnswer: -5\/257152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111001094597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9627 - 0.533867283\nAnswer: 9626.466132717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**2 + 8*n - 8. Let t(a) = 7*a**2 - 3*a + 3. Determine -4*i(d) - 11*t(d).\nAnswer: 3*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (1 + -2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -53. Which is bigger: c or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 69088185?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83906833013 plus -0.2014?\nAnswer: -2.04046833013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 38158?\nAnswer: 64868.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3700 and -23\/1850.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 640\/379?\nAnswer: 640\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 17*q - 14. Calculate f(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.112 rounded to 0 dps?\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 57524.\nAnswer: 287620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (132\/330)\/(-1 - 871\/(-870)).\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.393 + -0.5?\nAnswer: -37.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7\/8, 2\/61, 0.18?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*v**3*y + 11*h*x*y**2 + 296*h*y**2 + 2*v**3*x*y + 1269*v**3*x + v**2*x*y - v*y**2 - 2*v*y wrt h.\nAnswer: -v**3*y + 11*x*y**2 + 296*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000160159524 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(3\/2))\/(47\/((-2538)\/(-60))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17170, 17168, 17166, 17164?\n\"Answer: -2*u + 17172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/19, -0.3, 4, -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m**(-33)\/m)))*m**(-25)\/m*m*m*m*m**43*m**(3\/19) assuming m is positive.\nAnswer: m**(1048\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3237629178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22876, -50631, -78386?\nAnswer: -106141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 631907344*h + 24956680712570896 = 0. Calculate h.\nAnswer: 78988418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 8*k + 11. Let u(p) be the second derivative of p**4\/4 + 8*p**3\/3 - 21*p**2\/2 - 25*p. Let g(o) = -5*s(o) - 3*u(o). Determine g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -492 + 936. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 9) to base 11.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 84501.\nAnswer: 845010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4941*v**2\/2 - 4401*v\/2 + 4.\nAnswer: (9*v - 8)*(549*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 130\/14 + 4\/(-14). Let x be -12*(-3)\/n*-2. What is the common denominator of -20 and 2\/(-4) + x\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232082 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 88199.8km?\nAnswer: 88199800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, -29, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7)*(-1)\/2. Let h = -0.029 - 0.061. What is the third smallest value in 3\/7, h, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/27 + 65\/27. Determine s, given that 8*s + q + 10\/3*s**2 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1 - -10)*26\/(-39). Sort 4\/3, 1\/5, 1, z in descending order.\nAnswer: z, 4\/3, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, h: 7, x: 5}. Give prob of sequence hxhh.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -81152 * -7\nAnswer: 568064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/186*2). Let w = -35 - y. Suppose 0 = -6*z - 5 - 7. Put w, -5, z in descending order.\nAnswer: z, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 191598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4160\/104)\/((-270)\/36)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let u be (64\/(-20))\/(v\/(-5)). Let k = -11 + u. Calculate the least common multiple of k and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000629731111 rounded to five dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88974?\nAnswer: 2, 3, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -932, -3036, -8756, -19904, -38292, -65732, -104036?\nAnswer: -155016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(51) + sqrt(51)*2))\/(sqrt(9)\/sqrt(3)*-4) + ((sqrt(1377) - sqrt(1377)*1)*3 - (sqrt(1377) - (-1*sqrt(1377) + -1))))*3.\nAnswer: -189*sqrt(17)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162363401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108615\/6684)\/((-15)\/12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59\/4 of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 7:10 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 859? (a) -5\/2 (b) -1 (c) 3\/5 (d) 0.2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.67.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (3 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 54, 130, 278, 522, 886, 1394?\nAnswer: 2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*a - 71*a + 60*a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706 (base 8) in base 4?\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 + 13*a - 156. Let f(v) = 3*v**2 - 4*v + 52. Determine 7*f(u) + 2*g(u).\nAnswer: u**2 - 2*u + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - (-3 - -10)) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*r - 25*r + 23*r**2 - 11*r + 5 + 16*r**2 to o*r + i + b*r**2 and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*(-65)\/(-338))\/(38\/(-228))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.93 + 13. Let u = 0.23 + v. Suppose -2*d - s + 0*s = 7, s = 4*d - 1. What is the nearest to d in -1\/6, u, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*y - 3, -2 - 1 = y - 5*s. Let d(a) = -4*a**3. Let g be d(1). Put g, y, -3 in decreasing order.\nAnswer: y, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10457672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 78 = 4*l, -3*i + 9*i = 9*l - 8*l + 146 + 49 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5179160633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**9*g**(-1\/5) assuming g is positive.\nAnswer: g**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aomoyyyadmlo. What is prob of picking 2 y and 1 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:46 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158\/49 - 66562\/20825. Let k = r - -3558\/425. What is the common denominator of k and -41\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -330508*v + 5. Let i be p(-6). Suppose 6*b - b = 2915265. Let g = i - b. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 3, s: 2}. Give prob of sequence pspp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h. Suppose -4*x + f + h*f = -33, x - 4 = -4*f. Suppose 5*l - 2*m = -0*m - 4, -3*l = -4*m + x. Solve 4*j - 12 = r + 7, l = -2*r + 4*j - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 0. What are the prime factors of 10284\/20 - o\/(-5) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233718053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*r - 81 = 0, -5*s + 5*r - 3*r = 369. Let h = 155 - s. What are the prime factors of h?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34725, 0, 24, -5 in ascending order.\nAnswer: -34725, -5, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 8 - 2, -144 = -5*w + 3*k. Solve -4*f - 4*b = f + w, 3*f = b - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-6) + 2)\/((-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23712777 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59326 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.70455 rounded to 1 dp?\nAnswer: 161.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*1 + -2 - ((-2*sqrt(13) + -3)*4)**2.\nAnswer: -978 - 181*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*1)\/(sqrt(7)*1*-1) + (sqrt(98) - (sqrt(98)*-3 - sqrt(98)) - (sqrt(168)\/sqrt(7))\/sqrt(12))**2)*3.\nAnswer: -18*sqrt(2) + 6936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.4 times 4?\nAnswer: 897.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*a. Solve -a = 3*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147*k**2 - 4 + 183*k**2 + 2)*(2*k + 2*k + 0*k).\nAnswer: 144*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.96 + -268. Let o = w - -1.04. Which is the nearest to -1? (a) 2\/3 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2 + 0*x + 0 - x. Let t be k(-5). Factor -t*d + 2*d**5 + 3*d - 2*d**3.\nAnswer: 2*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83127 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16159531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9129950*c + 1788828 with respect to c.\nAnswer: -9129950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let w(a) = -4*a**2 - 3*a**2 - 27 + 27. What is h(w(k))?\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 99 - 131 = 0, -b + d = -35619. List the prime factors of b.\nAnswer: 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60670000 rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 25. Let h be w + -2 + (-5 - -3). Suppose 0*v - 266 = -5*k + v, -h = -5*v. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 + m - 2. Let o be f(-4). Let g(t) = t**3 + 2*t**2 + 3. Let z be g(-3). Let i be (2\/z)\/(2\/o). Which is bigger: i or -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 4*v + 3*v - 2*v - v**3. Let c be s(-2). What is the derivative of -5*z**3 + 7*z**3 - z**3 - c wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-50)\/(-5))\/(-5) + 5. Suppose c*q + 24 = 4*a, -q = -5*q + 4*a - 28. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/((-2)\/15). Determine b, given that -3\/2*b + 0 - 3\/2*b**p + 3*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -0.4, 0.2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1683\/216)*(5 + 69\/(-15)). Let y be ((1\/1)\/(-1))\/(-1). Do y and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 54. Let l(u) = -u**2 - 4*u + 5. Let c be l(-5). Let j = 7 + -2. Put c, j, g in decreasing order.\nAnswer: j, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {u: 2, c: 3, q: 5, x: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 + 20*r**2 + 60*r = 0. What is r?\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 569 or 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520668 is divided by 4148.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 16\/7 + 26*q**3 - 388\/7*q**2 + 40\/7*q = 0?\nAnswer: -2\/13, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 2*x + 2. Suppose -o + 3*o = 0. Suppose -b + 5*b + 8 = o. Let c be i(b). Which is greater: -2\/3 or c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.76 + 2415606713\nAnswer: 2415606716.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/((-6)\/9). Let f(k) = 0*k**n - 2*k**2 + 5*k**2. Let s(x) = -x + 1. Let b(c) = -3*c + 4. Let i(t) = b(t) - 4*s(t). Calculate f(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/48)*j*j\/j**(3\/20)*(j**(9\/7)\/j)**(-5\/13))**(1\/59) assuming j is positive.\nAnswer: j**(81229\/1288560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + 8 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7*x + 3*x + 68 = 0, -3*x + 87 = 5*j. Let v = -81 + 149. Calculate the remainder when v is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.64 - -1.24. What is the fourth smallest value in -0.3, 1, -2\/7, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let v = -581.3 - -545. Let t = v + 39.3. What is the closest to -1\/3 in r, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 39. Let u = 1003\/7 - 143. Which is greater: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 9)*((-4)\/(-3))\/4. Let g = -3.71 - -1.71. Sort 0.2, f, 1\/4, g in ascending order.\nAnswer: g, 0.2, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 - 1151*g\/7 + 19856\/7.\nAnswer: -(g - 17)*(g + 1168)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in months?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/2)\/(325\/(-1300))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -435.4905217966 and -4.\nAnswer: -439.4905217966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12859069 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h + 0*h**2 - 19*h**2 + 7*h - 6*h wrt h?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*h = 14, 187*l - 5*h + 20 = 182*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7204627 divided by -79?\nAnswer: -7204627\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 353638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09866 and 0.1.\nAnswer: 0.009866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o + 6. Let c be k(4). Let m = c - 21. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1539002*o**4 + 3*o**3 + 15680831?\nAnswer: 6156008*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*s + 13976 = 5*v, 0 = -3*v - 4*s + 10476. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3865362 is divided by 32211?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 16. What is the highest common factor of d and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -28*h + 30*h + 1924, -o = -5*h - 490. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2443*m - 2428*m = 75 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 5073 = -50*q - 13895. Is q a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/59 - -205\/413. Let q = 0.274 - 0.374. Which is the nearest to q? (a) -4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) + -1*sqrt(931))**2)*3.\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1773582*j**2 + 39363716*j.\nAnswer: 3547164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2221756 + 13297599 + 27557935 = 310*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 25. Calculate j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o - 39. What is b(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*w**2 - 2*w + 10*w - 8*w in the form t + m*w**2 + b*w and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 71 = 3*p + 28, 34 = 4*p + 2*k. Suppose -p*i**2 + 20*i**5 + 9*i**3 + i**5 - 10*i**4 + 46*i**4 = 0. What is i?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2 + 7. Let y = -15 + 31. Suppose -y = -4*q + 4*l, -5*l + 48 = 4*q - l. What is the units digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34820 and 76604?\nAnswer: 383020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*y + 244 = -72, b - 145 = 4*y. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(-47)*(p**(1\/2))**(-44))\/(p**(-8)*(p*p\/(p**11*p))\/p*p)**29 assuming p is positive.\nAnswer: p**(1047\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -432 + -254. Let p = v + 686.0181. Round p to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(21 - 572\/26). Let v(g) be the second derivative of m + 0*g**2 - 41*g - 1\/60*g**5 + 1\/18*g**4 - 1\/30*g**6 + 0*g**3. Factor v(t).\nAnswer: -t**2*(t + 1)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2240\/(-1750))\/((-4)\/30)*(-25)\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28226 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/22165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473.43 - 9.37. Let f = 486.947 + l. Let d = 0.047 - f. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625179509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x + 5. Determine d(5).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 21*g**2 - 19*g - 22. What is the tens digit of s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**27*g*g)**(1\/15) assuming g is positive.\nAnswer: g**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d - 1ab43?\nAnswer: -1ab91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8851552*p**2. Let a(r) = -2*r**2. Calculate a(q(z)).\nAnswer: -156699945617408*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*(-190)\/(-38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997*f + 1001*f - h - 189 = 0, 2*f = -3*h + 77. Solve -f*u - 30 = -40*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, -4, -5, 448, 233?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 9, 0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-253)\/(-276)*(-3)\/(-11).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/((-5)\/20*-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 893*j**2 - 47*j + 47. Let g(r) = 143 - 5*r + 163 - 301 + 94*r**2. Determine -47*g(p) + 5*m(p).\nAnswer: 47*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 86. What is the remainder when b is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, k: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-5)*(-1540)\/(-726) + 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**3 + 5\/4 + 11\/4*l + 7\/4*l**2.\nAnswer: (l + 1)**2*(l + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-110))\/((-10)\/(-75)). Put -3, x, -0.3, -2 in descending order.\nAnswer: -0.3, x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = -1. Let n(l) = 37*l**2 - 7*l + 1. Let v be n(1). Suppose -v*o = -35*o + d. Solve o*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 66 = 9*i - 7*i, -b = -5*i + 145. Suppose 4 = -v + 4*k + i, -5*v = -k - 63. Calculate the remainder when 43 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**3 - 17*o**2 - 11*o - 13. Let m(f) be the third derivative of f**6\/24 + 2*f**5\/15 + 5*f**4\/24 + f**3 + 6*f**2. What is -13*m(j) - 6*z(j)?\nAnswer: j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, n: 6, r: 2, y: 2}. Give prob of sequence pprp.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1824 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6*150\/(-225)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34706 and 9583.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102) - -3*sqrt(102)*1))\/sqrt(6))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 0.4 (c) 15\/11 (d) -0.2 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307427?\nAnswer: 17, 135731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 222*f - 12546. Calculate c(100).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 0.21. Let x = 0.06 - v. Let k be (-1)\/4 - (-247)\/(-52). What is the second smallest value in k, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19524323 by 214553.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 12}. Give prob of sequence afff.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 274, 254, 220, 166, 86?\n\"Answer: -s**3 - s**2 - 10*s + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 54, 82, 110, 138?\n\"Answer: 28*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.7954 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h + 129. Let x be z(15). Which is smaller: x or -20?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22078681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 8*c**2 + 22*c + 12 = 0. What is c?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3972*w - 1099363 + 1099363.\nAnswer: 3972*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56280439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3524\/(-208) + 31 + (-117 - -103)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*p + 62. Let k be (3 - -2)*p\/15. What is the smallest common multiple of (-2 - (-2 - k)) + -4 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let t be m\/(146\/(-20) - -4). Is -2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - -174. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72486, -14, -34, 5, 0, 3 in increasing order.\nAnswer: -34, -14, 0, 3, 5, 72486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 17*c - 130. Let s be a(23). Let d(x) = 2*x**2 - x. Let t be d(-2). Suppose -t*n = -s*n. Solve n*f = -2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 6*l**2 - 20*l + 45 + 31*l + 8 to the form g*l**2 + w*l + k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9468 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Let f(x) = x - h + 5. Let s = 1 + 2. Calculate f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*k - 647 + 143 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.1961 to 0 dps.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + a. Let u be h(-1). Suppose 0*f = f + t, f + u*t + 1 = 0. Let v be (-2 + 1)*(f - 1). Solve 4*n + 4 = 5*m + 15, 3*n + 5*m + 18 = v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/((-2)\/(-6)). Suppose 0 - h = j. Is 0 - 0 - (-5 + j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.2. Let d = -43\/715 + -2\/65. Let j = -1.8901 + -0.1099. What is the nearest to r in d, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3696\/(-5278) - 4\/58)\/(16\/(-104)). Factor -3\/4*p**3 + 1\/4*p**d + 1\/2*p + 0 + 1\/4*p**4 - 1\/4*p**2.\nAnswer: p*(p - 1)**2*(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*p - 14 = 2*q, -p + 125 = 5*q. Let n be 1 - (4 + (-80)\/q). Solve 5\/3*g**4 + 7\/3*g**2 + 0 - 3*g**3 - n*g**5 - 2\/3*g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2995155720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236473?\nAnswer: 89, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**3 - 4*z**2 + 87*z + 976. What is the hundreds digit of m(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 5*u + 5. Let h(i) = -2*i**2 + i + 1. Let o(m) = 3*m**2 - m - 1. Let l(q) = 4*h(q) + 3*o(q). What is -5*l(f) + p(f)?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30410 - 30409. Which is the nearest to -0.1? (a) g (b) 1\/3 (c) 13 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*w + 25, 12 + 36 = 5*w + 2*o. Let z be ((-11)\/(-55))\/(1\/w). Let u(t) = 3*t**3 - 5*t - 5. Let x(j) = -j**3 + 2*j + 2. Calculate z*u(g) + 5*x(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1019650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (8 + (-2490)\/45).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(99) + 2 + 2 - 3*-2*4*sqrt(275))*-6)**2.\nAnswer: 35424*sqrt(11) + 5991660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/3 - 617*i\/3 - 4270\/3 = 0.\nAnswer: -610, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12231429?\nAnswer: 3, 7, 83207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4, -0.02, 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1685, -289, -3583, -8197?\nAnswer: -14131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 1018082141*j**2 - 1018082141*j**2 + 26*j**3.\nAnswer: 26*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d**2 + 8*d + 299. Calculate z(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2110*j**3 - 5*j**2 - 2*j + 16. Let a be z(8). What is a rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-14))\/((384\/(-1568))\/(-12)). Let d(b) = -b**3 - 12*b**2 + 32*b + 45. Give d(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - s)*(1 - 1 + 7*s)*(8 - 3 + 6) to the form t*s**2 + v*s + q and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 12*r + 18 + (8 + 2 - 4)*(1 + r - 1)*(0 - 12 + 3).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2808 and 5751.\nAnswer: 598104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/2, -0.2, -3, 0.7 in ascending order.\nAnswer: -3, -1\/2, -0.2, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15118503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3961, -15866, -35717, -63514, -99257, -142946?\n\"Answer: -3973*x**2 + 14*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**8\/112 + 5*y**4\/24 - y**2\/2 - 7*y. Let d(r) be the first derivative of o(r). What is the second derivative of d(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27204 (base 11) to base 16.\nAnswer: 97bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -33, -32, -31, -30, -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h + 53*h + h**3 + h**3 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 + 168. What is the second biggest value in 2\/7, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:50 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**3 - x**2. Let f be n(-1). Suppose -f = 5*z + 11. Let s(m) = -m**3 - 5*m**2 - 2*m + 1. Determine s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-9)*(-24)\/(-288)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 8*h + 3*h + 9*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 5*u + 5. Suppose -g - 3 = -0. Let p(j) be the second derivative of -j**5\/10 + j**3\/2 - 3*j**2\/2 + 2*j. What is g*q(y) - 5*p(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:53 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8d3 - 0?\nAnswer: -1b8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20858 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 5. Let p be i(-3). Let z be (p\/(-10))\/(11\/5). What is the nearest to -1 in -5, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 72605418?\nAnswer: 290421672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4614907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -17*b**6\/30 - 3*b**4\/2 + 10*b. What is the third derivative of j(d) wrt d?\nAnswer: -408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 965*a - 3805. Give c(5).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 16*z + 3. Let s be b(-13). Suppose 2*f + s = 3*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y. Let t(u) = 176952*u. What is v(t(k))?\nAnswer: -1238664*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5\/7 - 80*i**4\/7 - 6336*i**3\/7 + 164160*i**2\/7 - 43200*i = 0 for i.\nAnswer: -42, 0, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19258*646\nAnswer: 12440668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -16*a - 4*z - 5, 2*z = 2*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/106? (a) 0 (b) 3 (c) 0.2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -1\/24*f**4 + 0 + 0*f - 66*f**2 + 0*f**3. Let h(q) = -7*q. What is w(h(d))?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*b + 3 = 412*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/12) - 4*(-26653)\/88. Which is smaller: k or 1207?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 + -3 - 9). Let a = f + 14. Solve 3*i = 2 - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from snssbnqubnsqunqsssu.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and 179\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d - 4 + 0*d**2 - 2\/3*d**3. Differentiate k(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*s + 33 - 9, -2*s = -y - 28. Let r be y\/(-6)*(-24)\/(-20). Suppose r*v + 0*o - 79 = o, 4*v = 4*o + 88. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2407 - 113 - 1472)*(-1 + 1 - o).\nAnswer: 3992*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2\/1) + 2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49\/50 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 12b6?\nAnswer: -12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -821 + -399. Calculate the common denominator of (-6)\/(-4)*f\/(-540) and -23\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2187 - -2137 - (-5 + -9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18717390 divided by 1039855?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/((-2)\/56). Suppose 3*g + 0*a + 10 = 4*a, 4*a - i = g. What is the least common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1278*g + 2. Let p(d) = -5919*d. Determine r(p(h)).\nAnswer: 7564482*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 59321490 to the nearest 100000.\nAnswer: 59300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932.3397 micrograms to milligrams.\nAnswer: 0.9323397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 100871744*v + 635944296100096.\nAnswer: 4*(v - 12608968)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3884 + -3884.0000003318. What is y rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/831 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-213)\/15 + (-4)\/(-20). Let q be (-2)\/(-5) - i\/(-35). Which is greater: -1\/45 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-17)\/34)\/(3\/38)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305.9*-216.\nAnswer: 66074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or -46?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + u**2 + 0*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - 0)\/4)\/(-2). Suppose x*c = 5*c - 25. Suppose 5*v - c*w = 0, 4*w - 28 = -4*v + 4. Calculate the lowest common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 5010*q**2 + 1649340*q - 178922520 = 0.\nAnswer: 294, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4097?\nAnswer: 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + 6 + 14*1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536 (base 11) in base 8?\nAnswer: 16203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 74?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69 - 18?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700037*u**4 + 15*u**2 + 32*u - 21 wrt u.\nAnswer: -16800888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 21*t + 101. Let y(h) = -2. Let o(b) = d(b) - 2*y(b). What is the least common multiple of o(-7) and 718?\nAnswer: 5026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6, 0, 11 in decreasing order.\nAnswer: 11, 6, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3100)\/52)\/5 + (-1)\/((0 + -11)\/132).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56944 divided by 12.\nAnswer: 14236\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14779, -14801, -14835, -14881?\nAnswer: -14939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2106533 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 66*w + 67. Determine m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*r = -561*r - 1312 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -457*l + 12705. What is u(28)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let z(u) = -6*u. Let a(f) = -f. Let p(h) = 11*a(h) - 2*z(h). Calculate p(b(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*c - 2 + 0 + 35*c + 27*c.\nAnswer: -25*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3940 + 4185. What is the remainder when d is divided by 45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {z: 1, l: 1, m: 2, o: 2, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -12. What is the greatest common factor of x and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5132158775 and 4?\nAnswer: 5132158771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/66880956 and -67\/8?\nAnswer: 133761912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 4, -0.41, 0.2, 61, 0.92?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 740, 1089, 1438, 1787, 2136, 2485?\nAnswer: 2834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 8:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 - 4. Let r be s(-4). Let n be 790\/8 + (-1)\/r. What is the greatest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 24927*i**2 - 24903*i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-12) - (-57)\/12. Suppose -q*a = 3*j - 209, -j = -2*a + a - 65. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*d - 0*d - 2, -4*v - 5*d + 97 = 0. Put -25, -3, -2, v in increasing order.\nAnswer: -25, -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*-4*sqrt(448) + sqrt(448) - -3*(sqrt(448) + -3*sqrt(448) + sqrt(448)))**2.\nAnswer: 87807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 140892966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469747, 939487, 1409227, 1878967, 2348707?\nAnswer: 2818447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.59886 (b) 2\/3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 - 2*c - 6. Let u(p) = -10*p**2 - 3*p - 9. Determine -7*i(m) + 5*u(m).\nAnswer: -m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-2\/37)*(a\/(a\/(a*a*a**(3\/19)*a*a*a)*a))\/a**(6\/13))**(1\/8) assuming a is positive.\nAnswer: a**(913\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/24 - 9*v**2. Let i(j) be the third derivative of j**5\/6 + 10*j**2. Calculate i(s(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 + 2*z. Let s be (-30)\/(-3)*(-12)\/(-15). Let j(v) = -6*v + 5*v**3 - 8*v - 5*v - 1 + 10*v + s*v**2. Determine 2*j(k) + 9*q(k).\nAnswer: k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258093?\nAnswer: 3, 1086031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.408858 decades in centuries?\nAnswer: 0.5408858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + 5*r**2 + 2*r - 4. Let k(q) = -15*q**3 - 24*q**2 - 9*q + 21. Let b(x) = -4*k(x) - 21*s(x). Factor b(z).\nAnswer: -3*z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1240345, -1240346, -1240347, -1240348?\n\"Answer: -p - 1240344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-2)\/8. Let l(z) = -z**3 + 3*z**2 + 4*z + 2. Let i be l(4). Let w be (i\/(-8))\/(10\/(-8)). Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 2.9. Let w(r) = r + 4. Let d be w(-2). Suppose 0 = 4*z, -2*z - 4 = -d*f + 2*z. Which is the nearest to p? (a) -2 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 492198.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4558196 and 25\/8.\nAnswer: 9116392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*g - 2 = -1, 0 = -2*g - 8. Let x = v - -15. Is ((-110)\/6)\/((-2)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + (-203)\/(-21))\/(2\/(-1164)). Let z = v + 653. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gej when three letters picked without replacement from {g: 1, d: 4, e: 1, u: 2, j: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -262323\nAnswer: -136\/262323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 3, k: 1, x: 1}. What is prob of sequence gkg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93075*a**4 - 9*a**3 - a**2 + 83047190*a wrt a?\nAnswer: 1116900*a**2 - 54*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1333325*o**2 + 11*o + 21. Let g(q) = -666663*q**2 + 5*q + 10. Let l(k) = 9*g(k) - 4*s(k). Let b be l(-3). What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19078 (b) 41 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b + 5. Let g be d(6). Suppose 4*n - 5*j = 37, g*j - 27 = 2*n - 6*n. Let f = 1 + 1. Solve -n*h + 15 = -3*h, 2*p = -f*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91692 divided by 4?\nAnswer: 22923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39c6c + -1?\nAnswer: 39c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -13. Let u be 6771\/12 + m\/(-20). Round u to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 61*v + 6. Let w(k) = -12*k - 1. Let c(n) = -2*q(n) - 11*w(n). Let j(t) = -t**2 + 3*t. What is 2*c(i) - 7*j(i)?\nAnswer: 3*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - y - 21 = 0, -3*d + 608*y - 1223*y = -609*y + 66 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -5 - -11 - -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 56938 and -0.05.\nAnswer: 56937.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2656, -3548, -5118, -7372, -10316?\nAnswer: -13956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 13*a**2 - 12*a + 3. Let y be b(-12). Suppose -y*p + 3*j + 34 = -26, -35 = -p + 4*j. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 9793 = -75047. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.99215 times 0.3\nAnswer: 2.697645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -724 - 2274. Round a to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1185 and -1173 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.159245357 less than 0.1?\nAnswer: 48.259245357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 270 = -17*w. Let c be ((-190)\/(-15))\/(4\/w). Let k = 294 + c. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-135)\/14 - -1) + (-28)\/(-7) and -19\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 and (90\/(-38) + 2)*(-48)\/(-14).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u. Let s(d) = -60*d - 57*d + 185*d - 68*d - 11*d**2. Calculate i(s(y)).\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 + s. Let q(b) = 4*b - 3*b**2 + 239 + 7*b**3 - 120 - 120. Give -4*d(t) + q(t).\nAnswer: 3*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:53 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 19, o: 1}. Give prob of picking 3 i and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0860607 milligrams to nanograms.\nAnswer: 86060.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/23)\/(c\/(c**(11\/5)*c))*(c**0)**(4\/31))**(-17\/5))**(6\/7) assuming c is positive.\nAnswer: c**(-24786\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 12*c**2 + 20. Let f be m(11). Let v = 100 + f. Put 5, v, 1 in descending order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 2*s. Let z(h) = 3*h**2 + 5*h + 4. Let r be z(-2). Let b(x) be the first derivative of x**2 + 2\/3*x**3 - 7 + 0*x. Give r*b(j) - 5*u(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 113. Let g = w + -15. Suppose -b + a = 24 + 9, 2*a - g = b. Which is smaller: -33 or b?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 116794.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.8 - 8.8. What is the smallest value in o, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.6 - -81. Let q = n + 11.845. What is q rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*z - 127*z + 398*z + 8706 + 26038 = 0 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 0.06. Let y = o - 0.18. Let v = 11\/92 + 3\/23. Which is the biggest value? (a) y (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*m - 24, -3*q - 3*m = -0*m - 27. Sort -4, -2, -3, q in ascending order.\nAnswer: -4, -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 3 = 0. Let x = 0.062 + -0.052. Let s = x + 0.09. Which is the closest to 0? (a) s (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19935 - -19940. Solve 3*b + h = -2*d, 26*d - b + 1 = 28*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z = 50. Let w be 3\/(15\/(-65))*-1. Let v(n) = n**2 - 11*n - 18. Let j be v(w). Is z equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -307505036301551.\nAnswer: -307505036301555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - -2)\/(-2 + 1). Let b = 7 + g. Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.06 + 6.06. What is the nearest to j in 0.1, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 + -0.7. Let k = 0 + -1. Let l = 6 - 5.9. What is the nearest to l in 1, k, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1\/(4\/72). Solve 2*a = 5*k - l, 0 = 3*k - 0*k - 3*a - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 324 = -356. What is the units digit of -5*(x\/10)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948803.\nAnswer: 3948803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhhyhvvyvvv. Give prob of sequence yhv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 9*j - 4. Suppose -8355*c = -8409*c - 162. Determine f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.82 + 0.7. Let m = -2 - -1.8. Suppose 6*p - 8*p = 8*p + 10. What is the closest to -0.1 in z, m, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867, -855, -827, -777, -699, -587, -435, -237?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 20, 5, 48, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, 213, 419, 603, 759?\n\"Answer: -x**3 - 2*x**2 + 235*x - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmamtasaas. What is prob of sequence sas?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-108794)\/5016 - (-2)\/(-33) and 17\/253?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l - 6. Let z be c(1). Solve -11*y - z = -55 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 85. Sort d, 4, 1.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111221 (base 3) in base 16?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8650 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9137640358 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/9)\/((-28)\/(-126)). Factor -36*y**2 + s*y + 10*y**3 + 4*y**2 + 10*y**2 + 0*y**2.\nAnswer: 2*y*(y - 2)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:14 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**9\/1008 - h**5\/40 - h**3\/3 + h. Let o(q) be the second derivative of t(q). What is the second derivative of o(d) wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75597392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 195*n**2 + 6*n + 7. List the prime factors of v(-3).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -5, -4, -94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 13 + 8 = d*v. Suppose -v*k = -3*k. Solve 0 = -3*s - k + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1475.63 + -1476. What is the smallest value in 2\/5, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 2. Let w(u) = 85*u - 22. Give 22*b(y) - 2*w(y).\nAnswer: -148*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/36*(-168)\/210.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47818582?\nAnswer: 2, 7, 691, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - 1878\/252. Let f = c + 20\/3. Which is bigger: f or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from nwnnwwwnwwnnnnwnknn.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**4*j*p - 49*b**3*j**2*p + 3*b*j**2 + 3*b*p + 15*j*p wrt b.\nAnswer: -12*b**2*j*p - 294*b*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - -1 - (4 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 12326.\nAnswer: 77\/12326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsiy. Give prob of sequence syd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4105903135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*m - 20 = 2*w, -4 = w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let j(z) = 942953*z. Determine j(v(a)).\nAnswer: -1885906*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9339770 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2370 + -2369.2. What is the closest to -1 in 0.1, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190 and 2354177?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6780372*b*l*m + 2*l*m - 10*l - 79*m - 84 wrt b.\nAnswer: 6780372*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e + -3b0?\nAnswer: -3ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q - 4. Let k(p) be the second derivative of -p**3\/6 - 2*p. Let n(h) = f(h) + 5*k(h). Let y be 2 + (1 - 0)\/1. Give n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 260.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence occ when three letters picked without replacement from okoccr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (27 - 12) + (-1 - 1) - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 q when three letters picked without replacement from {g: 4, d: 1, t: 7, q: 8}.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 - 34588593*f\/2 - 51882903.\nAnswer: 3*(f - 11529534)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 12*w - 31*w + 13*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/252 and -39\/11?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 6, g: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqr when three letters picked without replacement from {r: 1, n: 1, q: 1, f: 1, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1286.656045 rounded to the nearest integer?\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3270 - 3269. What is the nearest to 1\/54 in 0.3, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (8 + -4 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -408*p**2 + 1 - 1 + 2*p + 2 + 409*p**2. Let i(c) = -c**2 + 6*c - 3. Let g be i(6). Give w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -705*z - 9779. Let s be b(-14). Is s not equal to 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 0.36. Which is the second smallest value? (a) h (b) -2 (c) -0.5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 20*k**2 - 7*k + 88. Calculate b(19).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1171? (a) -112 (b) -0.01 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x - 13. Let f be l(7). Let g be (4 - (-1 + 4)) + f. Find the third derivative of -18*r**2 - 16*r**2 + 44*r**2 + 5*r**4 - 16*r**g wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = y. Let p(b) = -56 + 115 - 108945*b - 59 + 108937*b. Determine p(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5936)\/(-2772)*-57 - -122.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/32*3)\/(36*11\/176)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12400 and 3600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(384)*3)\/(sqrt(96)\/sqrt(32)).\nAnswer: 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s - 3*o, -2*s = s - 5*o - 24. Solve 0 = -i + t + 2, -i - 2*t = s*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*u - 8 + 19, 5*y - 4 = 3*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -14. What is the least common multiple of 22 and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000573131 rounded to six dps?\nAnswer: -0.000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*t = -32525, 11711 = -2*c - 5*t - 53331. Does -32501 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*o**5 + 2*o**4*v + 119*o**2*v - 2*v wrt o?\nAnswer: -7260*o**2 + 48*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - 28\/(-8). Suppose -3*n + 6 = 5*x + 3, h*n + 3*x - 4 = 0. Find the common denominator of n\/(-4) - (-147)\/20 and 46\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/2 - 619*j**4\/2 - 17162*j**3 + 461912*j**2 - 2826640*j + 2382200 = 0. Calculate j.\nAnswer: -554, -86, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 22. Let p = -0.3 + -0.2. Let r be (-3)\/(-2)*7\/84. Which is the biggest value? (a) x (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 28*v**2 + 101*v + 210. Let w be d(24). What is the highest common divisor of 120 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 - -168.1. Let i = 8 + -7.7. Let t = -0.4 + i. Put 3, r, t in ascending order.\nAnswer: t, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -547.7798629 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 1, d: 3, c: 8, p: 3}. What is prob of sequence dp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 2988777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -232, -348, -464?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*9\/2*4. Let v(b) = 2*b**3 + 9*b**2 + 3*b - 12. Let s(u) = u**3 + u**2 - 1. Let w(p) = 3*s(p) - v(p). Calculate w(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2763, -4244, -5737, -7248, -8783, -10348?\n\"Answer: -r**3 - 1474*r - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563.9174 plus 0.31?\nAnswer: 3564.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4680\/208*(2\/(-7))\/(30\/(-126)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732568.\nAnswer: 2, 91571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56871.963813 + 0.036187. Let j = f + -56872.0800005. Let t = -0.08 - j. What is t rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 339192 = -6*x + 7*x, -2*x = -4*n + 271362. What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*t**2 + 2*q**2 - 344*q*t**2 - q*t - 88*t wrt t?\nAnswer: -2*q**2 - 688*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d**(24\/7))\/(d**0*d**(-9)) assuming d is positive.\nAnswer: d**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 - 0.940137. Round i to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39515969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*a + 6, 12*a + 12 = h + 16*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68073443 and 3753.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029537512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u + 6. Let w(h) = 8*h + 5. Let p(z) = 4*c(z) - 5*w(z). What are the prime factors of p(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 + 2*r)*(84 - 118*r - 84).\nAnswer: -236*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5266520 and 2100?\nAnswer: 78997800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:38 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5571256 * 6\nAnswer: -33427536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 674298610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-34*r**2 + 462 - 461 + 107*r**2) + (r**2 + 1 - 1)*(-1 + 2 + 1) to m*r + a + z*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 - 4*w - 4. Let r(k) = 4*k**2 + 3*k + 3. Give 2*h(j) + 3*r(j).\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299947687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275615 and 7568965.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155453 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x**2 + 148*x**2 - 34*x**2 + 68*x**3 + 23*x**3 - 35*x**2.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s - 995. Let m be i(100). Solve -m*q = 12*q + 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 65\/91 + (-24986)\/14. Let w be (-1)\/(-7 + r\/(-14)). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2632733, 2631820, 2630909, 2630000?\n\"Answer: y**2 - 916*y + 2633648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.199, 2, -62.2 in decreasing order.\nAnswer: 2, 0.7, 0.199, -62.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-14) + (5\/(-3) - 266\/(-147))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18350*i + 1229416. Give w(-67).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-41 + 26 + -17).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 243*r + 15348. What are the prime factors of v(0)?\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466227554 times -1?\nAnswer: 466227554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12*(-16)\/(-64))\/((-6)\/4). Suppose -m + 3*t - 9 = 0, -4*m + 2*t + 14 = -0*t. What is the tens digit of 1 + p\/(m\/(-99))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23486 + -258172\/11. Let h = m - 1262\/77. What is the smallest value in 0, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 + 189. Let h be -6 - (-12)\/(13\/2 + s). Determine f, given that 24 + 32*f + 2\/3*f**3 + 26\/3*f**h = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/(2\/3). Let b = i - -3. Find the second derivative of 0 + 0 + 0 - 5*y**3 + b*y wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 16*k - 22*k + 3*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 8*r + 8*r + 533 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/7 (b) -4 (c) -2 (d) 0 (e) 84687 (f) -3 (g) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26*n**3 + 2*n - 5 + 25*n**3 - 5*n**2 + 0*n**2. Suppose 9*m - 12 = 11*m. Calculate j(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145993937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -414, 701\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a**4 assuming a is positive.\nAnswer: a**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -45, 17, -4, -5\/3, 5\/2 in descending order.\nAnswer: 17, 5\/2, 2, -5\/3, -4, -19, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-11 + 3) + 3\/24. Suppose -3*a = 2*q + 1, -q + 7 = -a - 3*q. Suppose 117 = a*z - h*z. Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 35*i**4 + 23 + 16*i**4 - 17*i**4 + 9*i. Let t(u) = 17*u**4 + 4*u + 11. Let y(p) = -4*l(p) + 9*t(p). Find the first derivative of y(x) wrt x.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -648*b. Let d(g) = -13*g - 29. Give a(d(r)).\nAnswer: 8424*r + 18792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2441713, -4883302, -7324769, -9766114, -12207337, -14648438?\nAnswer: -17089417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13141155?\nAnswer: 3, 5, 876077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/276 and 68\/9?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 586281 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 13486571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-1)\/(6\/(-108)*-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 5*s + 41. Let r be m(13). Let i = r + 51. Let j(x) = x**3 + 13*x**2 + 10*x. What is the remainder when 93 is divided by j(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 10*p. Calculate n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7310 and 0.1.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-120)\/(-28) + -4)*42\/28. Which is the third smallest value? (a) g (b) -18 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - (-53)\/30)*(-350)\/980)\/(90\/(-48))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12226364 is divided by 3308.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r + 11. Let a(u) = 87*u - 8. Let d(x) = -14*x + 1. Let m(s) = a(s) + 6*d(s). Let i = 7 + -5. Suppose p = i*p - 33. Calculate p*m(y) + 6*k(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015017 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 12*f - 33. Let t be w(15). Suppose -8 = -3*g + 2*g. Let b = 10 + g. Calculate the greatest common divisor of t and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 3*t**2 + 3*t + 3. Let g be a(-3). Suppose -5*h + 2*h - g = 0. Let y = h - -46. What is the greatest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-39))\/((-12)\/104*-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -a + 23, 3 = 4269*u - 4267*u + 5*a. What is the highest common divisor of 637 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -212. Which is the third smallest value? (a) 4 (b) 5\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -125, -3, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 - 112*f**2 + 1358*f - 1248 = 0.\nAnswer: 1, 16, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28820b - c1?\nAnswer: 28813a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(2*6)*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2610.66ml?\nAnswer: 2.61066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*b + 20, u - 20 = 4*u - 4*b. Calculate the remainder when u\/(-3) + (0 - -6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**4 + 2*l - 3. Let a(r) = 4*r**4 + r**3 + 8*r - 13. Let i(n) = -2*a(n) + 9*s(n). Factor i(m).\nAnswer: (m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2400612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2204)\/348*270\/(-285)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mitmxtitqxxmxxxgtm. Give prob of sequence mi.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68569189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23374.\nAnswer: 2, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 2118?\nAnswer: 78366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.155 - -0.155. Which is the biggest value? (a) -3 (b) 1 (c) u (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25607164 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1.471, -134.8.\nAnswer: -134.8, -4\/7, 1.471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/15 - 3*q**2. Suppose -3 = 3*z, -5*n = -2*n + 5*z - 10. Let s(y) = -n*y - 6*y + 13*y. Give i(s(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, q: 8, g: 4}. Give prob of sequence zgi.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -22 + (18 - 11) - -64.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-11)\/(-33) - 676\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*n + 148*n - 240 = 0. What are the prime factors of (15\/4)\/(-1 - (-86)\/n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76616 and 10048.\nAnswer: 612928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 28*b + 309. What is the tens digit of k(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 6 - 14 = 2*y, -4*y + 4*r = -16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b0 - -10eec?\nAnswer: 114ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203191883*f**2 - 159352321?\nAnswer: 406383766*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(1\/58)\/(q**(-1\/4)\/(q**(-4\/5)*q))*(q**(3\/4)*q\/q**(1\/2))\/((q**(2\/17)*q)\/(q\/q**(-3)*q)) assuming q is positive.\nAnswer: q**(82733\/14790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-900)*(-10)\/4.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/112780 and -101\/670?\nAnswer: 7556260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p - 101. Let m(o) = -5*o - 37. Let x(l) = 11*m(l) - 4*v(l). Let z(y) = -4 - 2 + 5 + y. Calculate 2*x(f) - 5*z(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/6))\/f)\/f**(-2)*f**(8\/9)*f**(2\/49))**(-20) assuming f is positive.\nAnswer: f**(-27310\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 160*z**3 - 7*z**2 + 12*z - 1. Calculate l(1).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1427355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 1. Let y(w) = -w**2 + 2*w + 1. Suppose 2*v = -4*a - 10, 0 = -17*a + 20*a - v - 5. Let m be 3 + 20 + -29 + 4 + a. Calculate m*y(p) + 3*h(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - ((0 - -17) + (56 - 66))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/280)\/(((-31)\/930)\/1)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzzdzzzzdzdzzzzzdzz. Give prob of picking 2 z and 2 d.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 + 13*a - 9. Let v be s(12). Suppose -h - 2*r = -8, -5*h + r - 2 = -v*r. What is the least common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwwwjwjzwwzwjdw. Give prob of picking 2 j and 1 z.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) 0.082 (b) -2\/3 (c) 2 (d) 1\/63 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {m: 1, w: 3, b: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 333*g**2 - 6*g - 10. Let z(m) = m**2 + m + 1. Let v(a) = -c(a) - 6*z(a). Let d be v(-3). Let i = -1788 - d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/((-4)\/108*2). Let r = -75 - 55. Let y = p - r. What is the least common multiple of 14 and y?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3631\/439300 - 4\/575. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-87)\/(-18) - (-2)\/12. Suppose -n*a + r + 668 = 4*r, -2*r = -2*a + 264. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g + 7. Let f = 53 + -57. What is the tens digit of j(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2. Let w(p) be the third derivative of p**4\/24 - p**3\/6 + 2*p**2. Let d(u) = -6*u + 7. Let a(y) = -6*d(y) - 42*w(y). Calculate a(k(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 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 k = 14.15 - 15.15. What is the closest to 0 in k, 3\/5, -59, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309316.\nAnswer: 2, 7, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -3) + (22 - 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 830001\/280 + -14823\/5. What is the common denominator of i and -1\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(133) - sqrt(133)*2) - sqrt(133)) + sqrt(133) - sqrt(133)) + sqrt(133) - sqrt(133)*-2*-2)\/((-2*sqrt(252))\/sqrt(9)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w - 2. What is p(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/27 and -32\/105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 132, 229, 288, 309, 292, 237?\n\"Answer: -19*d**2 + 154*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*w**3 + 12*q**2*w**2 - 2122*q**2*w + q**2 + 3*q*w**3 - 2258*q*w + 2*w**3 - 1 wrt q?\nAnswer: -4*w**3 + 24*w**2 - 4244*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-4\/3))\/i*i\/(i\/(i\/i**(-2\/9))*i))\/((i\/(i*i\/i**(-13))*i)\/i**(-18)) assuming i is positive.\nAnswer: i**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:16 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1167196.457 + 1579.\nAnswer: 1168775.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 - 4 + f + 2*f - 8*f - 4*f. Let n be z(3). Let s = n - 41. Calculate the smallest common multiple of s and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10992232 or 10992227?\nAnswer: 10992232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 320836 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 - 6. Let h be 1 - 13 - (-3201)\/264. Let b = -723 + 19523\/27. What is the closest to o in -3\/2, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.8 + -5.3. What is the nearest to -8 in n, -0.5, 5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r - 4*v - 29, 5*r + 4*v - 91 = 0. Let l be (1\/2)\/(r\/6). Let s = 0 + 3. Put s, -2, l in ascending order.\nAnswer: -2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-19)\/(57\/15) - 6\/(-9)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -191*c + 193*c - 64. Calculate the greatest common divisor of c and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/63)\/((-155)\/(-837)) - (-211)\/335.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let m(s) = -s**2 + 594314. What is l(m(z))?\nAnswer: -3*z**2 + 1782942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -2\/9 (c) 2 (d) 624 (e) 1.3 (f) 24 (g) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -59*c - 10. Let j(b) = -30*b - 6. Let z(v) = -3*h(v) + 5*j(v). Let i(x) = -18*x. Determine z(i(k)).\nAnswer: -486*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 10 = 0. Suppose 0 = -5*h - 3*s + 382, -90 = -3*h + o*s + 146. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846518 rounded to the nearest one thousand?\nAnswer: 6847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4649, -4650, -4653, -4658, -4665?\nAnswer: -4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 1841 = -5842. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.1 - -15.5. Which is smaller: -80 or t?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2299) - -3*sqrt(2299))*-2*-3 - (-1*(2 + -3*sqrt(2299) - sqrt(2299)) + -4))**2.\nAnswer: -3696*sqrt(19) + 1802452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7527550 rounded to the nearest 10000?\nAnswer: 7530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12753 - 13297388.616.\nAnswer: -13310141.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4306*v - 3*l + 45 = -4309*v, 0 = 5*v - 2*l + 27 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51320603729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 2*u. Suppose 2*l - 138 = -u. Suppose 5*s - 3*n + 5*n = l, -26 = -2*s + 5*n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113954, 455307, 1024230, 1820723, 2844786?\nAnswer: 4096419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 1. Let n(z) = 6*z + 3. Let s be 18\/(-45) + (-24)\/(-10). Suppose 0 = 2*x + 2*w - s - 0, 3*w = 4*x - 39. What is x*n(g) + 17*r(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -4 - ((-1 - -2) + 3))\/(-1). Solve a*z - 5 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47557.\nAnswer: 19, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 27. Which is the biggest value? (a) 4 (b) -0.9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**6 + 0*v**2 + 0*v**7 - 3\/28*v**8 + 0*v**3 - 15*v - 1\/12*v**4 + 0*v**5 + 0. Find the third derivative of a(s) wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from mmmmammmmmmmmmammmm?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10423142 (base 5) to base 9.\nAnswer: 150542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 0.19.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802866107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 54 - 2*c - 7*c**3.\nAnswer: -7*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 18 = -4*k - c, 2*c - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 - 4. Which is the third biggest value? (a) -0.3 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33 and -59\/726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1539)) + (6*3*sqrt(1539) - sqrt(1539))**2.\nAnswer: 54*sqrt(19) + 444771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266459913.\nAnswer: 3, 257, 115201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 9) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1579*z - 15000. Give k(11).\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -4*q**3 - 3*q**2 + 701*q + 3245. Differentiate k(n) with respect to n.\nAnswer: -24*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 24 = 2*k, 2*t + 2*k + 12 = -0*k. Let b(c) be the second derivative of -c**3\/6 + 3*c**2\/2 + c. What is b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267523 = 2*y + 15925. Suppose -u + 489999 = 2*t, -3*u = -4*t + y + 854204. Suppose 3*v + 2*v - t = 0. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 3*w + 3. Let b(l) = 11*l**2 - 8*l + 9. Calculate -3*b(s) + 8*x(s).\nAnswer: -s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21392 (base 13) to base 3.\nAnswer: -10001020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Let y = -2.04 - -0.04. Which is the nearest to 2\/3? (a) g (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/16)\/v*v)\/((v*v**8)\/v) assuming v is positive.\nAnswer: v**(-109\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32692 and 8.\nAnswer: 65384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 7*c**2 - 10*c - 7. Let s be 4\/(-3)*36\/8. Let q be t(s). Suppose -b = -4*b - z + q, -377 = -5*b + 4*z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 34454*r. Let p(d) = -15*d. What is l(h) + 2461*p(h)?\nAnswer: -2461*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-630)\/(-4585) + 0)*(-272)\/6. Is m >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 231 - 46. Let r = -32 - i. Suppose -r*v = 2*l - 71, -3*v + 0*l + 2*l = -49. Solve -b + 4*b = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 - 611*a - 31. Determine o(49).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2281*i - 36800. Give k(-17).\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 273995 times -0.1\nAnswer: -27399.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371.9865 days to microseconds.\nAnswer: 32139633600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 5. Let i(d) = 7*d - 9. Let v(h) = 5*g(h) + 3*i(h). Let x(p) = -p**3 + 50*p**2 + 55*p - 198. Let z be x(51). Determine v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 52*s - 101. What is k(12)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfccwwfcwmcm. Give prob of sequence fw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 3*s - 3*n - 146, -2*s + 4*n + 374 = 0. Solve -s*w = -222*w - 282 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 26*y**2 + 25*y + 5. Let t be z(25). What is the second derivative of -u**3 - 6*u**t + 568 - 568 - 107*u wrt u?\nAnswer: -120*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + ((-180)\/10 - -9) - 1*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26430546083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 5*x + x**2 + 8*x.\nAnswer: x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 6 + 6*t + 6 + (0 - 2 + 0)*(2 - 2 - 2*t) + 2*t - 2*t + t)*(t**2 - 8*t**2 - 7*t**2) to h*t + l + j*t**3 + d*t**2 and give d.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86516590939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2427\/2 - 8479\/7. Let g = -10111\/460 - -371\/23. Calculate the common denominator of u and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 834.976 + -840. Let m = v + 0.024. Sort -3, m, 3, -0.4 in increasing order.\nAnswer: m, -3, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -56.45. Let m = u - 23.55. Let j = m - -23.989. What is j rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*f**2*u**3 - 3*a*f**2*u - 3*a*f*u**3 + 12*a*u**2 - 66*f**2*u**3 - 3*u**3 wrt f.\nAnswer: 4*a*u**3 - 6*a*u - 132*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u + 314. Let r be y(26). Suppose 5*h - 1553 = -r*f, -4*h - 2469 - 1463 = -5*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/((((l\/l**(-1))\/l*l)\/l)\/l))**(-31)*((l**(-2\/7)*l)\/l*l**5)**7 assuming l is positive.\nAnswer: l**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + 2.34. Let s = -0.06 - o. Let f = -0.9 - s. Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149.54 + -97.41. Let i = r + -52. Let t = 0.130065 - i. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b - d998?\nAnswer: -d86c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24405571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8219 is divided by 392.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22234 - 40202044?\nAnswer: -40124310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 > -13486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -85. Is ((-5277)\/(-4))\/(-5 - (-138)\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:36 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**2 + 6*u - 3. Let a(g) = 19*g**2 + 13*g - 6. Let o(w) = -6*a(w) + 13*d(w). Solve o(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29394 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 19) + 3 + 13 + 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = -2*b - 0*b, 0 = b - 3*l - 33. What is the greatest common divisor of b and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 + -570. Let j = s + 549. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1305430 + 55?\nAnswer: -1305331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23840723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.3. Let r(x) = -x**2 - 4*x - 1. Let n be r(-4). Let v be (-21)\/(-12) - (n - -3). Sort 0.1, i, v in decreasing order.\nAnswer: i, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*l + 4*l. Let q = 3 - 2. Let u = -1.3 + q. What is the nearest to u in 5, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - m**5 - m**4 + 3*m**5 - 10*m**2 + 10*m**2 + 2*m**5 + (-m - 3 + 3)*(-m**4 - m + m).\nAnswer: 2*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*w**2 + 192*w - 192*w - 3947*w**2.\nAnswer: -5271*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 47573642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = q - 4, 3 = 5*q - 187*z + 189*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 320261563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x + 10. Calculate the remainder when 5 is divided by h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 10*u**2 + 7*u**2 - 19*u**2 + 2*u**2 in the form o + z*u + c*u**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 123898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 8, l: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213667063.\nAnswer: 213667063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4577 - 416*r - 454*r - 482*r + 44*r**3 + 903 + 1476*r with respect to r.\nAnswer: 132*r**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -39.042. Let n = s + -0.005. Let r = n + -0.363. Round r to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 16.99. Let p = -11.19 + y. Let c = p + 11. Is c <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(105))\/sqrt(5))\/(sqrt(21)\/((sqrt(60)\/sqrt(2))\/sqrt(10))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(112\/(-49))*24\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 5) in base 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572766 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5586)\/532)\/(18\/(-4))*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6168)\/9 - 1\/(-3). Let w = 455 + b. Is 1\/(-3) - w\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:08 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*i + 4*z + 9, 60 = 2*i + 3*z + 73 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462737?\nAnswer: 3, 151, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2)\/sqrt(3))\/(sqrt(2) + (sqrt(2) - (2*sqrt(14))\/sqrt(7)) + sqrt(2)) + -2.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**6\/72 + d**5\/40 + d**4\/12 + 2*d**3 + 4. Let i(h) be the third derivative of f(h). Is 7 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0.3 (b) -1\/3 (c) -13 (d) 1 (e) 3 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140*y**5 - 2506*y**4 - 82141211*y wrt y?\nAnswer: -2800*y**3 - 30072*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18852109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*3\/16. Which is the third smallest value? (a) 3 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206748 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = i - 4*x, -3*x + 303 = i + 2*i. Suppose 2*g = -0 - i. Round g to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201343 (base 5) in base 2?\nAnswer: -101011001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75\/68 - -6\/17. Let t = 102 - 304\/3. Let m be 10\/24 - (4 + 52\/(-16)). Which is the nearest to 2? (a) t (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/7 + (-102)\/(-714). Let c be (0 - 2)\/((-4)\/(-6)). Let q = c - -1. Sort g, -6, q, 5 in descending order.\nAnswer: 5, q, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276756077 - -933324\nAnswer: 277689401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = 3*d, -3*j + 2*d + 14 = 0. Solve 2*n = -0*n + 2*t, -j*t = -3*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a (base 14) to base 10\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -400, -1050, -1894, -2932, -4164, -5590?\n\"Answer: -97*d**2 - 359*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s - 4. Let c be z(0). Let a(j) = -2*j - 5*j**2 + 2 + 6*j**2 - j**2 - j**2. Give a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -17527\/77376?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11404 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**5 - 3*s**5 - 2*s**5 + (-3*s**2 + 0*s**2 - s**2)*(4*s**3 - 3*s**3 + 0*s**3) - 1 + s**2 - s**5 - s**2 - s**3.\nAnswer: -3*s**5 - s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 - a + 1. Suppose -5*i - 5*l + 2 = 7, -4*i = -2*l + 34. Give f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o - 16. Let s be i(-3). Calculate the highest common factor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = h + 3*t, 19*h - 17*h + 2*t + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -51, -113, -199, -309?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/13977780 and 97\/8386668.\nAnswer: 41933340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 109 = 113. Sort 2, -4, t, -9 in increasing order.\nAnswer: -9, -4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bckfbcrbcrbf. What is prob of sequence kcbb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -0*n + 2*n, 0 = -5*n - 4*i - 3. Let f = n - -1. Solve v = f*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1376 and 7584641.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -33*j**2. Let l(f) = -17*f**2. Let w(x) = -9*l(x) + 4*v(x). Let q be w(-1). Suppose -509 = -5*u + q. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/((-13800)\/7760) + 49.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let w(a) be the first derivative of -7*a**6\/72 - a**4\/24 + 5*a**3\/3 + 3*a**2\/2 + 19. Let r(i) be the third derivative of w(i). Give b(r(z)).\nAnswer: -35*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6 + -8.4. Let c = 1492.8 + -1493. What is the biggest value in c, 2\/7, -2\/5, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 35*r + 3. Let h be f(2). Let a = h - 71. Let n = 4 + 3. Solve n = 6*y - a*y + w, -5*w - 34 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 - 5*o**3 - 6*o**2 - 2*o**4 + o**3 + 3*o**2 + o in the form t*o**3 + z*o**4 + c*o**2 + n + s*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/9*621\/(-345).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 4. Let u(x) be the second derivative of 0 - 7\/2*x**2 + 1\/3*x**3 + x. Let a(v) = -4*v**2 - v + 1. Let f be a(1). Determine f*u(i) - 7*k(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - 0) + -8 + 10 + 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 611 - v - 2*v**4 + 602 - 1192 to r*v**2 + a*v + t + y*v**4 + s*v**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005763 rounded to 6 decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 35154.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 231 divided by 3\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 26*l - 17*l. Solve 1 = -l*s + s - 5*z, -15 = 4*s - z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 - 1 - 5) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 180*h = -178*h + 1481, 7*h = -2*y + 2896. Calculate the least common multiple of 104 and y.\nAnswer: 11752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + (2490419 - (-9 - -5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 210 + -1*(1 + 1). Suppose 0 = -2*h + i - 32. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**4 - 8 + 8 + c**4 - c**4 - 4*c**4 + (10*c - 2 + 2)*(-4*c**2 + 2*c**3 + 4*c**2).\nAnswer: 23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35\/4 + 253\/28. Let o be (2 - -1) + 1\/(-1). Suppose -o*w = -5*n - 27, -5*w = -4*n - 11 - 14. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 12*a**2 + 707*a - 7670. Calculate d(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 29. Suppose -5*u = -2*b - b - h, -3*u = -3*b. Let l = 28 + -7. What is the greatest common divisor of l and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 3 + 4 + 0 - 7.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -17*i + 11. Let u be d(1). Calculate the common denominator of -91\/202 and u\/(-4)*(-1)\/(-3) - 11.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 3*q**2 - 5*q - 3. Let o be -2 - ((-3 - 1) + 6). What is p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381754863 is divided by 802006.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*f + 132*f + 56 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 6*w**5\/5 - 101*w**4\/4 + 1765*w - 1073. Differentiate i(f) wrt f.\nAnswer: 24*f**3 - 303*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - de06?\nAnswer: -de00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 0.2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + 13*h - 4. Let w be z(5). Find the second derivative of w*a + 0 + 0 - 40*a + 11*a**3 wrt a.\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-42)*77*((-132)\/12 + 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309357342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.407767 take away 0.5?\nAnswer: -13.907767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155 and 0.02.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452*w**2 + 3*w + 2*w - 5*w + 279*w**2.\nAnswer: 2731*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*12\/528)\/((-8)\/118*(-28)\/(-448))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - i - 7. Let x be (-10)\/((-3)\/(6\/4)). Let o be f(x). What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1096698645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1741*g + 583*g - 5934*g - 414*g.\nAnswer: -7506*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/43 (b) 0.08139 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 60*z. Let s(k) = -23*k + 10*k + 6*k + 5*k + 6*k. Calculate j(s(d)).\nAnswer: 240*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 232975*s. Let a(b) = 5295*b. Determine 175*a(d) - 4*m(d).\nAnswer: -5275*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103001 + -24341?\nAnswer: 23110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 * 18385\nAnswer: 772.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 7*v + 3*v**2 + 10*v**2 + 4*v + v**2 + 14*v.\nAnswer: 14*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108\/5 + 4\/5*q**5 + 324\/5*q + 44\/5*q**4 + 184\/5*q**3 + 72*q**2 = 0 for q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(8*7\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 5 + n**2 + 0*n**2 + (-3*n + 5*n + n)*(2*n - 3*n - n).\nAnswer: -5*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l + 6. Let c be g(-5). Let b(u) = u + 1. Let o(p) = p + 9. Calculate the remainder when b(c) is divided by o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1 - (28 + -14) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 greater than or equal to 362041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35392.608 rounded to the nearest one hundred?\nAnswer: -35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -18*i**3 - 37386968*i**2 - 66465656*i + 16616416 = 0.\nAnswer: -2077052, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3251, -0.2, 35?\nAnswer: 0.3251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2 + 0 - 5 + 2*a. Suppose -8*k + 258 = 35*k. Let i(c) = c - 1. Give k*i(n) - 2*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let n(g) = -2*g + 24. Let p(f) = -3*n(f) + 3*s(f). Let r be p(28). Solve -3*z - r = a + 4*a, -2*z - 6 = 3*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 696614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 457475*z**2 + 914935*z - 457465.\nAnswer: 5*(z - 91493)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -222419*m - 2. Let l be j(2). Is ((l\/18)\/(-10))\/((-2)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453*r**2 - 143*r + 449*r**2 - 1398*r**2 + 463*r**2 to the form s*r + h*r**2 + w and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -a + 3, 2*a - 3*p = 6. Let o(j) = -j**2 + a*j**2 - 3*j**2. Let f(l) = -l + 0 + 1 - 1. Give f(o(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 386362\/9 < 42930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6 + 4\/6 + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 4, 6, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.7 and -5.\nAnswer: 268.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -11 - (43 + -5) - (7 - 20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - (13 - 8)) + 2 + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4. Let t(w) = -w + 204. Let p(q) = h(q) + t(q). Let i be p(0). Calculate the greatest common divisor of 48 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*f - 143*f - 138*f + 425*f + 675 as v*f + p and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 4*u - 3. Suppose -185*n - 1374 = -179*n. Let r = 232 + n. Calculate y(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93627902, 93627901, 93627900, 93627899, 93627898, 93627897?\n\"Answer: -h + 93627903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*d + 2*h + 7, 5*h - 5 = 0. Let b(z) = -z**2 - 10*z - 1. Let q be b(-9). What is the highest common divisor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1638 and 1134.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -58.96. Do a and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 2. Let f be p(-5). Let z(u) = u - 2. List the prime factors of z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 19. What is d(-24)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1975 - -1535. Is -440 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 1. Let y(j) = j - 1. Let d(g) = -a(g) + y(g). Let h(u) be the second derivative of u**4\/6 + 7*u**3\/6 + u**2\/2 - 237*u. Give 6*d(q) + h(q).\nAnswer: 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851890, 3407672, 7667344, 13630906, 21298358?\nAnswer: 30669700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 26. Let o(i) = 84*i**2. Give m(o(c)).\nAnswer: -7056*c**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*l**2 + 72*l + 17*l + 4*l - 86*l**2 wrt l.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 5*r**6\/72 - r**5\/120 - r**3\/2 + 4*r. Let h(t) be the second derivative of u(t). Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(147) + 1 + (sqrt(36)\/sqrt(6) - sqrt(6))\/sqrt(2))*3 + 5)**2.\nAnswer: 378*sqrt(3) + 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 3 + 4*u + 15*u + 14 + 1. Let n be h(-13). Calculate the remainder when 22 is divided by 5\/((-45)\/12)*n\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -6.7369.\nAnswer: -262.7391","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104051*i**3*j**2 + i**3 + 8*j**2 - 17635*j wrt i.\nAnswer: -312153*i**2*j**2 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*c - 21 = 0, -11*c = -8*c - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1813469 or -1813468?\nAnswer: -1813468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10.00000015. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*c = -2651, -13*i + c + 1343 = -11*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/((-240)\/576)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144440 (base 5) to base 3.\nAnswer: 22120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(1 - 0 - (-3102)\/1128).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.9 and -2.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-149)\/1043*(-2*8)\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274698 divided by 71?\nAnswer: 32038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*f + 1605, 2*f + 5 = 3*f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38475251 and 6814.\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - 6.9. Let x = -5.7 - z. Let t = 0 + -0.5. Which is the smallest value? (a) -3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 6*r**2 - r**2)*(2 - 2 + 2*r)*(4*r - 3*r + r + (4 - 1 + 0)*(-2*r + 3*r + 0*r) + (-r - 3*r + 0*r)*(7 + 0 - 4)).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + (sqrt(40)*2)\/sqrt(10) + sqrt(4)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - -0.14. Let s = 0.1 + 3.9. Which is the nearest to 1\/3? (a) 3 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**2\/f))\/f*f*(f**(-10\/9)\/f*f)\/f)\/(f**0)**(28\/3) assuming f is positive.\nAnswer: f**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 346*i + 338*i.\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 30*f + 141. Let c(t) = -5*t**2 + 30*t + 140. Let j(x) = -6*a(x) + 5*c(x). Let g be j(-23). Solve -4*q + 20 = 5*y, -y + 4*y + g = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2075 and 18260.\nAnswer: 91300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*(-756)\/90. Suppose -4*r - 157 + q = 0. Let s = r - -58. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44975 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/3 - -1)\/(9\/(-81)). Suppose -w = 3*j - 23, -7*w + 17 = -c*w - 3*j. Let x = -6 + w. Solve -4*m + i = -18, -m + 13 = 2*i + x*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) + -1) - sqrt(192)) + sqrt(192) + -2 + 2)*1)**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 5. Suppose 5*z = -35 + 145. Suppose 3*q - 5*q + z = -g, -5*g = -q + 2. What is the remainder when p is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 10:15 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 118*a - 4. Let k(j) = -120*j + 5. Calculate -6*h(t) - 5*k(t).\nAnswer: -108*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11143441 (base 5) to base 11\nAnswer: 69042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-35) + (-14)\/35\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 35, 48, 61, 74?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31118 is divided by 389?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c + 37. Calculate u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -33. Let h(y) = y**3 - y**2 + y - 4. Determine h(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 18, 0.1, 2\/15, 8215, -1\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2249*n + 3460. Let i(k) = -2*k - 4. What is 6*f(v) + 5190*i(v)?\nAnswer: 3114*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 3*n**2 + 11*n - 17. Let x = 330 - 347. Let f(b) = -b**3 - b**2 + 4*b - 6. Let v be ((-12)\/(-30))\/((-2)\/(-30)). Give v*s(r) + x*f(r).\nAnswer: -r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 8. Calculate the remainder when 27 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4996*m**3*n - 17027*m**3 - 10*m**2*n**2 + 6*n**2 - 19 wrt n.\nAnswer: 4996*m**3 - 20*m**2*n + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let w be (-4)\/(-2) - f - 3. Is (-67)\/(-1) + w + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/70)\/(6*((-32)\/(-560))\/(164\/(-205))).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 442505.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 23, 30, 37, 44, 51?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99556 and 0.3?\nAnswer: -29866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3191*2903.\nAnswer: 9263473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/61 + -187\/244. Let i(u) = -u**3 + u - 3. Let j be i(0). Which is the closest to j? (a) g (b) -5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 4. Let c be l(-5). Suppose c*o + 241000 = 4*o. What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 297*g*l**2 + 5*g*l + 5958*g wrt l?\nAnswer: 594*g*l + 5*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - 207\/2. Let h(u) be the first derivative of -a*u**2 + 0*u - 1. What is h(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*w**5 - 3 + (2*w**5 - 5*w**5 + 2*w**5)*(1 - 2 + 2) - w**5 - w**5 + 0*w**5.\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156819135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/3 - 7*n\/3 - 2 = 0. What is n?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3439 (base 16) in base 13?\nAnswer: -1a54c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2656 - -26679\/10. Find the common denominator of r and 51\/556.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = y + 2*c, -24*y + 290 = -21*y - 2*c. Calculate the remainder when y is divided by 55.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927899 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:29 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 5. Let q = -25 + 12. Let o = -17 - q. What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - 0\/(-13))\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675667452.\nAnswer: 2, 3, 56305621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 43*a - 2*p - 8, -9*a - p = 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*c**3 - 2*c + 328 - 328 to t*c**2 + y + w*c**3 + l*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 338*t + 2. Let s(u) = 339*u + 2. Calculate 2*s(k) - 3*z(k).\nAnswer: -336*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/21, -0.039?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 4 + 1 - 6*a + 6.\nAnswer: -6*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -0.0131568, -0.1?\nAnswer: -0.0131568","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 1b?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -46443?\nAnswer: -371544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -116?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28145 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12 + 6\/20. Let h(v) be the second derivative of -v + 0*v**3 - 1\/12*v**4 + 0 + 0*v**2 - f*v**5. Factor h(i).\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 3\/4*p**4 + 32 + 0*p**3 + 0*p - 1\/2*p**2. Let x = 19 - 18. Determine i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**2\/q*q*q))\/(q\/q**(-4))*(q\/(q\/(q**(-3\/4)*q))*q*q)\/(q**0\/q))\/((q**(-7)*q**(1\/6))\/(q**(-1\/4)\/(q\/q**1))) assuming q is positive.\nAnswer: q**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/136*-16*(-18)\/(-4212)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3283\/515?\nAnswer: -3283\/515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115 a factor of 156675155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 42 - 2999*c**3 + 5968*c**3 - 2970*c**3.\nAnswer: -c**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 40108 + 86113 = 27262. Round a to the nearest one hundred.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-0.4852.\nAnswer: 0.38816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*o = -136*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026819 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-270))\/(-17)*1.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 12*i**5\/65 + 5*i**4\/26 - 12*i**3\/13 - 3*i**2\/13 + 20*i\/13 - 108. Find z, given that c(z) = 0.\nAnswer: -2, -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331001\/591552 + 323\/576. Calculate the common denominator of i and 31\/20.\nAnswer: 20540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -3887095?\nAnswer: 3887092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 + 51285*k**3 + 307845*k**2 + 461815*k + 205260 = 0?\nAnswer: -4, -1, 10263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1311030112?\nAnswer: -1311030102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 7*s**4 + 3*s**3 + 5*s**4 + 2*s + 0*s + 6*s**2 - 8*s**3 + 3 to the form w + x*s + m*s**2 + p*s**4 + k*s**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 73 + (70 - 83)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-28))\/((-107)\/11235).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5119404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 265, 264, 263, 262, 261, 260?\n\"Answer: -n + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*m + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 112. Suppose -4*w = -5*b - 148, 2*w + 2*w - v*b - 136 = 0. Calculate the greatest common divisor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 9*c**2 - 3*c - 3*c. Suppose -2 + 14 = -4*p. Let f be (-6 - p)*1\/(-3). What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(sqrt(32)*-4)\/sqrt(4))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 63*j**2 + 95*j + 435. What is the units digit of q(63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509147940 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 16*p + 39. Calculate i(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/8 + (-2)\/(-8). Let l = q - -2. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1059\/28 - -149\/4. Suppose -2*s - 2*a + 4 = 0, 14*s + 4*a = 11*s + 8. Let l be 32\/(-6) + 78\/(13 - s). Put 0.2, l, k in decreasing order.\nAnswer: l, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 109*a + 27415. What is o(229)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13240*r**4 + 4*r**2 + 490*r + 15 wrt r?\nAnswer: 317760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 + 166. Let r be 58\/(-6)*-6 - b. Calculate the greatest common divisor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -14\/5*u**5 + 10*u - 5*u**4 + 4\/3*u**3 - 46 + 11*u**2 - 1\/3*u**6. Find y such that x(y) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 y when three letters picked without replacement from pkkqkyydddyygdkdddy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*p = -4*m + 223*p + 26, -3*m = 5*p - 27 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 4*j + 2. Let x(p) be the third derivative of -p**4\/24 + p**2. Let n(a) = u(a) + 5*x(a). Calculate the remainder when n(-5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1505?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u*u\/(u*u*u*u**(-8))*u*u)*u**(-8))\/(((u**(5\/6)*u)\/u)\/u**(2\/7))*((u\/(u**(-2)\/u))**10)**(10\/13) assuming u is positive.\nAnswer: u**(6673\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 98 - 202 = 0. Suppose 53*m = h*m + 2153. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3508375?\nAnswer: 3508375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 68, -1 in decreasing order.\nAnswer: 68, 17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(-2*sqrt(9)) - sqrt(19))**2 - (1 + sqrt(19) + 1).\nAnswer: -sqrt(19) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/2 (c) 2 (d) 994 (e) 6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 522 = 3*h, 698 = 4*h - 5*p + 10*p. Suppose 251 + 664 = 3*l. Let g = l - h. Calculate the remainder when g is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m - 22*m + 303 = -107. Solve 8*a - m*a = 21 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -480\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + z**4 - z**4 + (-11*z**3 - 2*z + 2*z)*(6 - 6 - z).\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1129 + 1170. Calculate the remainder when c is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -717, -719, -723, -729?\n\"Answer: -m**2 + m - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 19302999*z\/4 + 38606046.\nAnswer: -3*(z - 6434341)*(z + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, 0 = -5*y + b + b + 46. Calculate the remainder when 61 is divided by ((-12)\/y)\/((-3)\/42).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5680 - -15661. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:51 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-9) + (-340)\/(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4058 and 848.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -49994.3 to the nearest 100.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 95*p + 36*p + 28*p + 31*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 368174*z**2 - 16935356382*z + 796775253966.\nAnswer: -2*(z - 47)*(z + 92067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0137 + -268.9863. Let f = z - -271. Sort -2\/13, 6, -2\/5, f in descending order.\nAnswer: 6, f, -2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28050 and 103326?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let w(d) = d**3 - 8*d**2 - d + 9. Let y be w(8). Let c(m) = 2*m**2 - 14*m + 2. Let t(v) = y*c(v) + 10*n(v). Factor t(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -b3154?\nAnswer: b3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p**2 - p)*(-506*p**2 - 180*p**2 - 1790*p**2).\nAnswer: 2476*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11448*p + 2856. Does 310 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3146 - -3146. Put s, -2, 4, 103 in ascending order.\nAnswer: -2, s, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + c + 3. Let v be u(-3). Solve 0 = 4*f - v*g - g + 2, 2*f = g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-13.187.\nAnswer: -1.3187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*6*(-520)\/(-9945)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -973*j**4\/12 - 7*j**3\/3 + 35*j**2\/2 - 4335*j - 2. Find the second derivative of r(u) wrt u.\nAnswer: -1946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517559144.\nAnswer: 2, 151, 563, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let l(h) = v*h + 1 + 0*h + 1 - 3*h. Give l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96\/65 + -14\/13. Let h(j) be the first derivative of 3\/20*j**4 + 1 + 0*j**2 + x*j**3 + 0*j. Factor h(s).\nAnswer: 3*s**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 134. Suppose y*g + 88 + 37 = 0. Is -26 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(-12*r**3 + 9*r**3 - 9*r**3) + (-24*r**2 + 63*r**2 - 8*r**2)*(3*r + 2*r - 6*r) in the form y*r**2 + q*r + b + v*r**3 and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*3*11\/(2178\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044457 rounded to four decimal places?\nAnswer: 0.0445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39221 or -39222?\nAnswer: -39221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*s - 1 + 11*s - 6*s + 7*s + (-1 - 6 - 1)*(-s + 4 - 4) to q*s + i and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 c when three letters picked without replacement from {f: 2, c: 1, l: 3, b: 1, d: 1, s: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6037*h - 56357.\nAnswer: -6037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*h - 24, -2*c + 5 = -5*h - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3029859*q + 47 + 631728*q - 47.\nAnswer: -2398131*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*w + 5*q + 35, -28 = -w - 2*q. What is the remainder when w is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45885752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 531994*n**2\/9 - 11792843984*n\/3 - 19653262240.\nAnswer: -2*(n + 5)*(n + 132996)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.098064 plus -0.099?\nAnswer: -138.197064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (115\/((-94300)\/(-123)))\/((-594)\/16)\nAnswer: -2\/495","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/5 - 129*c**3 - 3999*c**2\/5 + 4641*c\/5 = 0. What is c?\nAnswer: -7, 0, 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 3. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1076 + -1079. Put 4, l, -1, -19 in increasing order.\nAnswer: -19, l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*w + 2*b, 9*w - 13*w = -b - 23. Solve -2*y = 8, -2*c + 3*y = w*y + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2164\/6835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 73?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 + 125 = 6*u. Suppose 7*b - u = -b. List the prime factors of 167 - b - 2*(0 - -1).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 184?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5124)\/(-2135) + (4 - (-516)\/(-60)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*l - m, 4*l + m + m = 14. Suppose 9*i = 385 - 25. Calculate the greatest common factor of i and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 5. Let k(h) = -4*h + 6. Let q(p) = 2*k(p) - 3*w(p). Let n(o) = -4*o + 3*o - 12 + 4 + 12. Calculate -5*n(s) - 7*q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/96 (b) -2\/5 (c) 28719 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562\/462 + (-4 - 1)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/703 in 1, -3, 0.3, -8, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2970*m*o**4 + 14*m*o**3 + 3484*m*o**2 - 2*m - 2*o**4 - 3*o wrt o.\nAnswer: -71280*m*o + 84*m - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 4, c: 5, z: 2, i: 5}. Give prob of sequence zll.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 5) to base 6.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -41*w**2 - 2*w + 2. Let l(r) = -21*r**2 - r + 1. Let m(f) = 7*l(f) - 4*q(f). List the prime factors of m(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.16358?\nAnswer: 2.16358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*7\/(-14))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -0.5, -0.2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from rllrlrlllllrerrllllr.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9878 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*f - 8, 2*h + 2*h = -4*f + 8. Suppose -a - 3*t - 7 = -h*a, -2*t + 4 = 5*a. Factor -2*g**a + 151*g + 1 - 151*g + g**4.\nAnswer: (g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -352.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to -1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*i - 215, 9*v - 15 = -i + 4*v. Which is the second smallest value? (a) -5 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3959, -7960, -12013, -16118?\nAnswer: -20275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x = 71*x + 304500000. What is x rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (203\/14)\/(3\/24) + 2?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 20*p**2 + 24*p**2 + 3*p**3 + 1 - p**4 to o*p**2 + b + m*p + h*p**4 + c*p**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -92641745 times -0.3\nAnswer: 27792523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3476838 rounded to the nearest ten thousand?\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 39. Suppose -45*w + 10 = -r*w. Let j(h) = -h**3 - 5*h**2 - 6*h - 4. What are the prime factors of j(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/72*2\/(-120)*-3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-33)\/4752*-9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 16 = -4*i - 12*n, 12 = 3*i + 3*n. Let o(r) be the third derivative of r**2 - 9\/8*r**i + 0*r + 0 + 0*r**3. Let x(d) = d. Determine x(o(b)).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 5, k: 8}. What is prob of sequence yyok?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 399*x - 394*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r - 30*r**2 + 30*r**2 - 47454*r**3 - 75*r.\nAnswer: -47454*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 1330021030012?\nAnswer: -1330021030000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3723496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-820)\/(-164) - (9 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611120463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 2388375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and -31267.\nAnswer: -31266.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1659)\/5135*-13)\/(2\/((-40)\/(-6)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/4643?\nAnswer: 15\/4643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 + -144. Suppose -t - 8 = t. Which is the closest to 0? (a) 2 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:16 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32108 (base 9) to base 2.\nAnswer: -101001011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2586.\nAnswer: -25860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**2 - 8*m**2 + 7*m + 4*m**2 + m**2. Let h(c) = 2*c**2 + 6*c. Determine 7*h(y) - 6*k(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 99*b**2. Let g(w) = -w**2. Determine g(r(d)).\nAnswer: -9801*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -51.4 * 286\nAnswer: -14700.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 27. Let m(x) = 1561*x**2 - 2*x + 3. Calculate s(m(y)).\nAnswer: -6244*y**2 + 8*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 2*o + 2*o.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ebba (base 16) in base 9?\nAnswer: -211608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -15*z + 736. Suppose 2*m = -5*w + 24, 4*m - z - 32 = 5*w. Suppose -u - 536 = -5*u. What is the remainder when u is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/54 + (14\/18)\/(-1). Let r be (o - -4) + (-10)\/6. Let p = 3 + -4. Put p, 4, r in decreasing order.\nAnswer: 4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1229*v**5 - 1626*v**5 - 3013*v**5 + (1 - 1 - 1)*(v**5 + 5*v**5 - 4*v**5).\nAnswer: -5870*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, -4, 1, 114, 70 in decreasing order.\nAnswer: 114, 70, 5, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**9*(g*g\/(g\/(g*(g\/(g**(-21)\/g*g))\/g*g))*g)\/g)\/(g\/(g*g**8*g)*(g**(2\/17)\/g)\/g) assuming g is positive.\nAnswer: g**(457\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22 = -5*w + 3*w, 0 = -4*w - v + 37. Suppose -3*f - 2*z = 34, 2*f - 5*z + 8 = -2. Let q = f + w. Which is smaller: 2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 43036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 - -40313333?\nAnswer: 40314131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 5*y**3 - 7*y**3 - y + 2*y**2 to r*y**2 + c*y**3 + s + v*y and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.44214 + -0.27214. Which is the closest to d? (a) 2 (b) -7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 1732*b**2 - 19850446*b - 19159410696.\nAnswer: 2*(b - 3972)*(b + 1553)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 417*p**2 + 1677*p\/2 + 420.\nAnswer: -3*(p - 280)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25853 - 26438.44. What is y rounded to the nearest 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13577 = 6*y - 5713. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + 0.6. Suppose -2*j = j + 2*h + 1, 34 = 3*j - 5*h. What is the closest to j in k, 0.3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x + 0*x = 0. Let n(p) = p**3 + 5*p**2 - 8*p. Let h be n(-6). Suppose 3*s - 3*q = 2*q + 18, x = -2*s + 3*q + h. Solve -s*a + 10 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 13. Let g = -17 + u. Let v(n) = n**3 + 5*n**2 - 3*n - 5. Let d be v(g). Solve -q = -3*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 3322 = -150*b + 20*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 5*i - 4. Let r(q) = -2*q**2 - 5*q + 3. Let g(a) = -4*r(a) - 3*x(a). Let l = -447688 + 447682. Let z(d) = -d. Determine l*z(v) - g(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 2*d**2 + d**2)*(782*d + 744*d - 1621*d)*(1 - 5 + 5) to the form k*d**2 + l + s*d + j*d**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15839 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 a when three letters picked without replacement from abbaaabpabp.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.785 in 2\/11, 0.3, 3\/2, -42, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488191 divided by 1?\nAnswer: 488191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41665 + -24936. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d + 1. Let p be x(-6). Let h = 67 - 54. What is the highest common divisor of p and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6263\/82 - -3439\/41. Let v = -2 + 6. Sort v, -2\/17, a in descending order.\nAnswer: a, v, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-42)*g*g\/(g*g**8))\/(g**(1\/4)\/(g\/(g**9\/g*g))) assuming g is positive.\nAnswer: g**(-229\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*f**3 + 44 - 33*f**3 + 5*f + 106*f**3 - 31*f**3 + 20 as s + a*f**3 + d*f + k*f**2 and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -2.91?\nAnswer: -64.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2601*m - 3*x + 20 = -2602*m, 3*m + 4*x - 18 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/5 + (-2002)\/(-55). Does 21 divide t - (-2 + 1) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20900?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6208 and 882118?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0478663966 - 0.1.\nAnswer: -3.1478663966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1328 - -0.4.\nAnswer: 0.5328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 271540 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 8*j - 7. Let u(z) = z**2 - 9. Let w be u(-4). Let y be f(w). Suppose y = -3*r - 2*r + 330. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(4\/7)\/x)\/(x\/(x*x\/(x\/(((x*x*x\/x**(-1\/3)*x)\/x)\/x))*x)))**(-47))**(-4\/33) assuming x is positive.\nAnswer: x**(11468\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100220, 100332, 100444, 100556, 100668?\nAnswer: 100780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 2, w: 1, a: 4, d: 1}. What is prob of picking 1 a and 1 n?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8923*p = 9927*p - 106424 for p.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/11)*v\/(v*v**(-1\/18)))**50)**(-9\/10) assuming v is positive.\nAnswer: v**(125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1864014, 1864017, 1864020, 1864023, 1864026?\n\"Answer: 3*p + 1864011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -160325546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + s**2 - 1 - 2*s**2 - 2*s**2 + 5*s**2 + (-s - 5*s + 4*s)*(2*s - 3*s + 2*s) + 2*s - 2*s - 2*s**2 + 3 - 2*s**2 - 3 + (2 + 0 + 2)*(6*s**2 + 6*s - 6*s).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169349260549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6126 is divided by 269?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j + 2*z, -22*j = -18*j - 4*z - 24. Let q = 7.8 + -14.8. Which is the third smallest value? (a) -4 (b) -4\/5 (c) q (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 614*f + 3*f**2 + 67*f**3 + 1 + 0*f**2.\nAnswer: 67*f**3 + 3*f**2 - 614*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/96 and 117\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.046057 + -90.045447. Let o = q - -74. What is o rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0*x + 0 - 5*x**2 - 5\/3*x**3 + 11\/24*x**4 + 1\/60*x**5. Calculate r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 182*c**2. Let q(a) = 3*a + 32. Let b(r) = 310*r + 2976. Let v(g) = b(g) - 93*q(g). Calculate v(w(l)).\nAnswer: 5642*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400204 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36059*o + 6*o**2 - 36059*o + 0*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k - k + 6*k**2 - 167937 + 167942 in the form v + y*k**2 + o*k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**5\/40 + m**4\/16 - m**3\/8 - m**2\/8 - 26. What is l in u(l) = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-658)\/(-4794))\/((-3)\/(-9))*1?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592915105 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 13786229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1644, -3304, -4988, -6708, -8476, -10304?\nAnswer: -12204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 0?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d + 2*z - 40, 2*z + 40 = 2*d. Suppose -11*i - 11790 = -d*i. Suppose 0 = 5*b - 3*k + 291 - 6151, -2*b = -4*k - i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 195 = -o, 2*o + 5*c = 261 + 132. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(16)\/sqrt(2))*-5*-3)\/(5*((-2*sqrt(70) + sqrt(70))\/sqrt(7) - (sqrt(10) - sqrt(30)\/sqrt(3)*-3))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 10 = -5*c. Solve 0 = -5*r + c*r + 12, 4*l - 5*r = -8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 2*o**2 + 0 - 2\/3*o**3 + 0*o - 2\/15*o**5 + 0*o**4. What is the first derivative of t(g) wrt g?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 7*x + 6. Let k be t(-3). Factor 29*n**k + 6 + 23*n**3 - 8*n - 2*n**4 - 44*n**3 - 4*n**2 + 0*n**4.\nAnswer: -2*(n - 3)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-14))\/((l*l**16)\/l)*((l*l*l**(-7)*l)\/l)**(-33) assuming l is positive.\nAnswer: l**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 14) to base 2\nAnswer: 1001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57178, 116142, 175106, 234070?\n\"Answer: 58964*c - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/5 + 54*j**2\/5 - 141*j + 648\/5 = 0. What is j?\nAnswer: -27, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 18*p**2 - p + 24. Let l be w(-18). Let t = l + -25. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 34*y. Let h(d) be the second derivative of 11*d**4\/12 - 152*d. Calculate b(h(j)).\nAnswer: 374*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9521429 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006458 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 11 + 2*x**2 + 4)*(28*x + 16*x**3 - 28*x).\nAnswer: 32*x**5 - 112*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-23 - -2 - (181 - 190))) + -50.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (681*u + 435*u - 18*u)*(62 - 16*u**3 - 62) to r*u**2 + a + m*u + g*u**3 + y*u**4 and give y.\nAnswer: -17568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128990?\nAnswer: 2, 5, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -798 not equal to 6256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 40*s - 44*s + 6500, -a + 3*s = -1300. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2847 and 2470?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.59999828. Round i to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 7. Let z(x) = -4*x + 13. Let h(t) = 7*p(t) + 4*z(t). What is the tens digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 69*x**2 + 2*x**3 + 62*x**2 + 562*x**4 - 560*x**4 to the form k + g*x**3 + u*x**4 + z*x + m*x**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-81)\/(((-12)\/14)\/(-6)). Let p = q - -6244\/11. What is the common denominator of 20\/31 and p?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 50 = 0. Suppose -5*b + 0*b = -k. Suppose 0 = -b*p + 8 + 32. Solve u + u = p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -36. Let x = 39323\/11 + -7143\/2. Find the common denominator of x and c + (-243)\/(-60) + -3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u = -208*u - 3617 - 3808 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 + 11*g - 3 - 8*g**3 + 6 + 2. Suppose -2*r - 30 = 4*l, 0 = -l - 4*l + 2*r - 51. Let b(y) = 2*y**3 - 5*y - 2. Calculate l*b(v) - 4*a(v).\nAnswer: -2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. Suppose l + 5*x + 23 = 0, -4*l = -2*x - 11 - 7. Find w, given that 0*w**2 + l*w**3 + 2*w**2 - q*w**4 + 4*w - 10*w**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 34. Factor 4*r**2 + k*r - 4 + 8*r - 8*r.\nAnswer: 4*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 29. Let n = -24 + 12. What is the remainder when 54 is divided by k(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31955 to the nearest 100.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5980911 + 4?\nAnswer: 5980915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/20 + (-11)\/4. What is the closest to 4 in h, 3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**5\/20 - 5*z**4\/6 + 3*z**3\/2 + z**2 - 6*z. Let t be o(9). Suppose -1 - 4*h**2 + 3 - 2 - 2*h**3 + t*h**4 = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69125 and -55266?\nAnswer: 124391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2499, 2498, 2497, 2496, 2495, 2494?\n\"Answer: -f + 2500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 47. Suppose 3*k + n = 3*r, 0*k + 13 = 2*r - k. Suppose 0 = 2*q - 10, 5*q + 195 = r*s + 70. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 1, r: 1, u: 3}. What is prob of picking 1 t and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -284 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 + 7*y**2 - 15*y - 1314. Give g(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2291780 by 95.\nAnswer: -24124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402)\/1206 - (-2)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(12\/7)*q)\/q**(-27) assuming q is positive.\nAnswer: q**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**3 + c**2 + c + 1. Let s be f(-1). Let q(b) = 5*b**2 - 33*b - 7. Let k(t) = -t**2 + 8*t + 2. Let r(y) = 9*k(y) + 2*q(y). Calculate r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-147)\/7))\/((-3)\/4).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010100 (base 2) to base 5.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -512958383.99999924 - -512958394. Let y = t - 10. Round y to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000659 less than 118?\nAnswer: 118.000659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717320821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = -5*f, 0*f + 16 = -4*f. Suppose 5 = -p + s*p + 3*t, -4*p = 4*t - 12. What is the tens digit of (26 - 9) + (-2)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8*w**5 + 2666*w**4 + 16434*w**3 + 27518*w**2 + 16358*w + 2616 = 0.\nAnswer: -327, -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.05 plus -1?\nAnswer: 346.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/(-18))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhvvvvalvvvvl. Give prob of picking 1 v and 2 h.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -1150?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5713 or 5714?\nAnswer: 5713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4, 0.1, -234, 6\/7?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**2. Let q(m) = 38401776*m. What is v(q(a))?\nAnswer: 11797571199633408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nynnnyyyyyyyyn. Give prob of sequence yyyy.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*x = 22, 0*i - 3*i + 3*x = -24. Suppose -f = 3*k - 5*k + 16, -f = -4*k + 32. What is the remainder when k\/12 - 192\/(-9) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(125) + sqrt(125)*-3 + 2 + (2 + sqrt(125))*-5 - (4 + -5*(1 + sqrt(125)) + -4))**2.\nAnswer: -509 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 - 2. Let w = -83\/374 + 997\/1122. Sort -4, w, b, -115 in increasing order.\nAnswer: -115, -4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -141\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3388906743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3332*x**3 - 3*x**2 + 6*x + 5. Let i be g(-3). Let b = i - -140004. Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + 2*sqrt(35))\/sqrt(5) + 3)*1.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*m**6 + 10*m**4 + 2*m**3 + 3*m**2 + 391*m?\nAnswer: 1320*m**3 + 240*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + k**4 + 3*k**4)*(4 + 0 - 2) + 7*k**4 + 0*k**4 - 9*k**4.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1181544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -108. Let b be 4\/x*((-296)\/(-56) - 5). Factor -b*y - 2\/7 - 2\/7*y**2.\nAnswer: -2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*w + 740, 592 = -w + 5*w - y. Suppose 58 = 5*c + 4*i - w, -41 = -c - i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**3 + 26310432*w + 254694667.\nAnswer: 12*w**2 + 26310432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/156 and -39\/139336?\nAnswer: 5434104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 418 (base 12) to base 9\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33985788?\nAnswer: 2, 3, 17, 166597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aah when three letters picked without replacement from {a: 3, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -91, -135, -179?\n\"Answer: -44*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23*b**2. Suppose -2*h - 9 = 7*h. Let m(l) = 40*l**2 - 16*l + 16. Let k(z) = 2*z**2 - z + 1. Let j(i) = h*m(i) + 16*k(i). Determine c(j(u)).\nAnswer: 1472*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3404255, -3404231, -3404207, -3404183, -3404159?\nAnswer: -3404135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/(-234)*((-84)\/(-650))\/14?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22990 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 113*d + 34. Let s(i) = -50*i - 16. Let x(h) = 4*c(h) + 9*s(h). Let j(g) = -3*g + 7. What is j(x(q))?\nAnswer: -6*q + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25 - -39)*(-2)\/(-7). Let a(o) be the second derivative of -6*o + 0 + 0*o**2 + 0*o**3 + 1\/24*o**y + 1\/40*o**5. Factor a(r).\nAnswer: r**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -118. What is the lowest common multiple of 3 and u*((-774)\/(-7))\/9?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19964 + 19976. Solve -9*z + m*z + 5*b - 19 = 0, -5*b + 7 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -81*r**3 - 18871*r**2 + 466*r - 4. Give n(-233).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -4.3. Let k be ((-2)\/(-4))\/(5\/(-6)). Let m = -575 + 578. Which is the third smallest value? (a) i (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19647 + -19646.6. Suppose 4*z - 10 = 2*z. Which is the smallest value? (a) z (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110 + 121001201?\nAnswer: 121022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -143.9.\nAnswer: -143.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 59 = 309. Let v(n) = 7*n. Let u be v(5). Let i = h + u. Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.067 + -44.933. Let l = u - -40. Which is the nearest to -2\/5? (a) l (b) -0.4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2 + 1\/12*m**3 + 9\/4*m - 3\/4*m**2. Factor l(o).\nAnswer: (o - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*k**2 + 14*k**2 + 14*k**2 - 7 + 14*k**2 + 16*k**2 wrt k?\nAnswer: 88*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 1. Calculate p(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41916898073\/177310 - -35272131\/149. Let v = g + -9641\/30. Let p = v + -2\/51. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163551907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2290 in ascending order.\nAnswer: -2290, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4034)\/140 + 29 + -2 + 36\/21\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + 2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 - (255 + -240)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 24*c - 3*c - 372 = 688 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461 - 458. Which is the nearest to -0.3? (a) v (b) 0.5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 54*d = 132. Which is smaller: d or -131?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 3 - 11 + 9*o.\nAnswer: 9*o - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -788*m**3 + 2731*m**2 + 17*m. Let t(a) = 262*a**3 - 910*a**2 - 6*a. Let y(x) = 6*l(x) + 17*t(x). Find the third derivative of y(u) wrt u.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2176 and 517718?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3279 and 3285 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Let f be (4\/(-6))\/(25\/75). Let c(t) = -9*t + 10. What is f*c(d) - 22*s(d)?\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = d + 127 - 142, -5*d = 3*f - 26. What is the highest common divisor of 139 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417 divided by -139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.16 (b) -2\/671 (c) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Suppose 45 = 3*s - 4*g, -2*g = 2*s + n*g - 53. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -35) + (-4 - (1 + 1 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -66*p**3 + 129*p**2 - 117*p + 27. Let o(n) = -5*n**3 + 10*n**2 - 9*n + 2. Let y(d) = 27*o(d) - 2*r(d). Factor y(l).\nAnswer: -3*l*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 31*r**2 + r. Let f(h) = -h**3 + 12*h**2 + 14. What is the lowest common multiple of c(-1) and f(12)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 4*m**2 + 2*m - 6. Let p be r(4). Suppose 2*o = -p*o - 4. Which is the third biggest value? (a) 0 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:38 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -182, -174, -166, -158, -150?\n\"Answer: 8*f - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Suppose -162 - 921 = -283*z + 49. Let s(h) be the third derivative of 0*h**z + 0 + 0*h**3 + 1\/5*h**5 + 0*h - 37*h**2. Determine s(v(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0)*((-114)\/(-12))\/19. Which is greater: 7\/4546 or w?\nAnswer: 7\/4546","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 3*t + 4. Let y be l(-4). Suppose 0 = -3*r - r + y. Let m = r - -1. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-30)\/16*231\/66*96\/(-70).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = z. Let j(t) = -t - z + 0*t - 2*t + 2*t. What is the units digit of j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110101 (base 2) in base 8?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*f - 6*f. Sort -5, 3, 4, f.\nAnswer: f, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, l: 1, v: 7, u: 4, k: 1}. Give prob of picking 2 v and 1 k.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9704 - 9702. Suppose -4*f**3 - 7\/3*f**4 - f**q + 0 + 2\/3*f = 0. Calculate f.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*-5096\nAnswer: 9682.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-3)\/3)\/((66\/99)\/(88\/(-66)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, 7, 1\/8, 5 in decreasing order.\nAnswer: 7, 5, 2\/5, 1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((3 - (2 + -4)) + -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*o + 2 = -u - 11, 4*u - 3*o + 360385 = o + 360357 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-702)\/(-72) + -5)\/(4\/32)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**8\/1680 - p**6\/72 + p**4\/6 - 59*p**3\/3 + 6. Let s(z) be the third derivative of g(z). Let s(t) = 0. What is t?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-10)*75\/135*63\/(-105).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-3)\/423) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y - 76. What is k(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 17*c + 29. Calculate r(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/3636*3). Let t = v + -298. Solve 0*z + 15 = -5*z, -t*z - 35 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14559895813706.79999944 - -14559897023294. Let r = j - 1209587. Let y = r + -0.2. What is y rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/2 - -4)*(-2)\/(-2). Let l be (14 + -15)\/(1\/i). Is l at least 4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20865, 20817, 20769, 20721, 20673?\nAnswer: 20625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*g**2 + 1191*g**2 - 2351*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from ydixammxiiixi?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 - 225*o - 2. Let z(v) = -5*v + 7. What is y(z(i))?\nAnswer: 175*i**2 + 635*i - 1234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 486.9, -1\/9, 4\/7, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let m(h) = -11*h + 13. Let x(r) be the second derivative of -5*r**3\/6 + 3*r**2 - 6*r. Let y(o) = 6*m(o) - 13*x(o). Calculate u(y(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 2\/5, 3, 45\/2, 3\/22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-28) - (-26)\/7. Suppose 4*p + 21 = 5*w, 3*p - 4 = -k*w + 19. Solve -j = -3*i + p - 10, 0 = j - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(4\/(48\/15)). Let w be 14574\/(-78) + v\/(-26). Let l = -82 - w. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 105. Let i = 0.012 - 65.512. Let m = i - h. Which is the second smallest value? (a) 2 (b) -2\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*m - 31 = 0, -m - 14 = 2*f - 5. Let y be (-5 - f) + (-9)\/((-144)\/40). What is the closest to -0.1 in -0.6, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 19 + 0 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*r - 16, -3*r = 57*q - 59*q - 12. Suppose 0 = f - 3*f. What is the second biggest value in r, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3518 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7030 and 7087?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130435)\/(-855) - 111 - (-8)\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3463, 2078, 7619, 13160, 18701, 24242?\nAnswer: 29783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2*(-6)\/8) - (-148)\/(-222)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 10*a + 30. What is the lowest common multiple of f(5) and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h - h**2 + (-2 - 1 + 4)*(h - 2*h**2 - h))*(3*h - 2*h + 2*h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -25*j**3 - 13*j**2 + 13*j - 13. Let s(t) = -13*t**3 - 6*t**2 + 6*t - 6. Determine -6*a(p) + 13*s(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*252\/945*(-60)\/(-104)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1192967492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -5, 2, 25, 70, 143?\n\"Answer: w**3 - w**2 - 7*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/((-3)\/33084). Let f = -88099\/12 - s. Find the common denominator of 89\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 138\/13?\nAnswer: 138\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o + 134. Let n(d) = -2*d. What is k(n(l))?\nAnswer: -24*l + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 217 + 3*y**3 + 45*y**3.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 112 = -0*r. Suppose -5*o + 5*y = -210 - 20, 3*y + r = o. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*l = 2*l + 3, 0 = -4*b - 4*l. Suppose 0 = -0*m - m + b. Let g(n) = 2*n**3 - 4*n**2 + 4*n + 1. Is g(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 + 2*b**3 - 5*b + 2.\nAnswer: 12*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/10 - (1192\/(-80) - -8). Solve c*z = 3*z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**3 + 96*q**2 - q**3 - 196*q**2 - 16*q + 110*q**2. Let u be n(8). Solve -3*p - 3*s - 24 = u, 0 = 3*p + 5*s + 39 - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 + 6*g + 2. Let k be t(3). Suppose 12*r - 712 = 248. Suppose -7*b + r = 17. Solve b = -3*d + z, -3*z + k*z = -4*d - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*c + 27, -d + 14 - 4 = 2*c. Suppose d*v = v + 99. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 11*c**2 - 13*c**2 - 2983*c + 1183*c - 405000 = 0.\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -8. Suppose -m + o = -0*m. Let r be 0\/8*1\/3. Sort 1, m, r.\nAnswer: r, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 25*r**3 + 4*r**2 - 23*r - 14. Let p(y) = 24*y**3 + 2*y**2 - 22*y - 12. Let n(w) = 3*l(w) - 4*p(w). What is the second derivative of n(a) wrt a?\nAnswer: -126*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let w(o) = 81*o + 1. Give -2*m(g) - w(g).\nAnswer: -83*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002323529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -519 - 2121. What is the remainder when v is divided by 107?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 949840 + 49990. Suppose 8*p = 3*p + k. Suppose 2*h - p = -3*s, 5*s - h - 132875 = -32870. What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6898, 6669, 6286, 5749, 5058, 4213?\nAnswer: 3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, -92, -269, -444, -617, -788?\n\"Answer: g**2 - 182*g + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 57379282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.06 (c) 1\/5 (d) 1\/4 (e) 1 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1612990*t**3*z**3 - t**3*z + 240*t**3 - 2*t*z**3 + 2*z**3 + 11*z**2 - 5310 wrt z.\nAnswer: -9677940*t**3 - 12*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 0)**2 + 1.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201462*b*m**3 + 3121945*b*m - 17*m**2 - 1 wrt m.\nAnswer: 1208772*b*m - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58\/(8 - 618\/78)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 - 3 - 4*w**3 + 8 + 3*w**3 + 8*w. Let s be a(-8). Solve -4*q = q - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 2. Let k(y) = -4*y + 2. Let g(x) = -6*k(x) - 4*q(x). Let i = -3 - 2. Let b(l) = -4 + 5 + 2 - 2*l - l. Calculate i*b(u) - 4*g(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*a + 2 = 7*a, 3*w + 3*a + 42 = 0. Let r be 10 + w - 11*-1. Solve -13 = 5*d + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 6*g + 5. Let y be r(-6). Sort 1\/9, 13\/5, y.\nAnswer: 1\/9, 13\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 237 (b) -190834 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19400822.\nAnswer: 2, 7, 23, 60251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - -7. Calculate the remainder when y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 38*q**3 - 12*q**2 + 226*q - 630. Determine r(3).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20553779 - 5.\nAnswer: -20553784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7364*d**3*g**2 - d**3 - 3*d**2*g**2*p - 12*d*g*p + 2*d*p - 2*g**2*p - 862 wrt d.\nAnswer: -44184*d*g**2 - 6*d - 6*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.516 to zero decimal places.\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -62. Suppose 3*n - 4*y - p = 1, -13 = -3*n - y. Solve 3*f = -w + f, n*f - 11 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 11*b**2 + 10*b + 24. Let u be h(12). Solve u = -4*w + 16, 16 = 4*l - 0*w + 5*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/365, 4, -0.2, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118 - 54 - 3754*g**2 + 3756*g**2 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1517926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32793 - -1517?\nAnswer: -31277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izei when four letters picked without replacement from ehhiihhzzzue.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbbr. What is prob of picking 3 b and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonnnnonhonoooonono. What is prob of picking 3 n and 1 h?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2181089.1 hours?\nAnswer: 90878.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 557 - 360. Let q = 196.9999814 - o. What is q rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -385170*o + 385167*o - 338 + 16 to the form k*o + c and give c.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 2*q**2. Let c(v) = 0*v**2 - 3*v**2 + v**2 - v**2. Let f(g) = 3*c(g) + 2*d(g). What is the third derivative of f(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -49. Factor -12*l**4 + 43*l + 16 + l**q + 16*l**4 + 5*l + 23*l**3 + 52*l**2.\nAnswer: 4*(l + 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 32 = -4*n + b, 0 = 2*n - 3*b - 21. Let i be (n + 1)*(-9)\/(-90). What is the closest to i in 29, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 17*n**2 - 14*n + 19. Let c be 57\/(-2) - (-9)\/(-18). Let d = c + 47. List the prime factors of s(d).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 111. Let n = q + 3.84. Let d = n + 0.56. What is d rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -0.0939817394?\nAnswer: -0.5939817394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272 divided by 11.\nAnswer: 272\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -431074 (base 8) to base 2\nAnswer: -100011001000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/13 - (-6)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-2) + 244\/8 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u. Let h(d) = d**2 + 6*d. What is h(j(i))?\nAnswer: 400*i**2 + 120*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -10. Let j(n) = -9*n + 7. Let v(d) = 4*d - 3. Let t(w) = z*v(w) - 2*j(w). Let u be t(-1). Solve 0 = -2*l + 5 + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 - 284*m + 5. Calculate the remainder when h(-25) is divided by 83.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2601 + -153.\nAnswer: -153.2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 1. Let w(d) = 6*d**2 - 4. Suppose -g + 39 = 2*q + q, 0 = -2*q - g + 27. Suppose -q = -25*y + 37*y. What is y*w(b) + 4*v(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/4)*u*u))**20\/((u*u**0)\/u*u**(2\/5)*u))\/(u**(1\/4)\/u**3)**38 assuming u is positive.\nAnswer: u**(781\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47741 + -1?\nAnswer: -47742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140413.\nAnswer: 7, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 54*n - 5. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*a = 5, a + 0*a + 1 = 2*c. Suppose -4*l - 37 + 9 = c. Let r be 16\/l - (-2)\/7. Which is smaller: r or -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -4. Let b(i) = 5*i + 0*i - 8*i + 2*i - 1. What is b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1098 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2) + 9\/(-6). Suppose 0 = -n*i + 2*d + 26, 3*i - 18 = -2*i - 3*d. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 90766*c + 455118. Determine s(-5).\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-2)*(-126 + 236000\/1875)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 33\/6)*(7 + 371\/(-49)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033096 times 0.19\nAnswer: 0.00628824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = -4*k, -6*q + 2*q = 2*k - 12. Let w(r) = 1 + 3*r - 2*r - k. List the prime factors of w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 - -60. Let h = z + 484. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7))**(-35)*(w*w**(-6)\/w)\/w*w\/((w\/((w\/((w**(2\/15)*w)\/w))\/w))\/w))**(2\/109) assuming w is positive.\nAnswer: w**(-934\/1635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 3. Let y = 29 + c. Let q(z) = z**2 - 3*z + 4. Let d be q(y). Solve 4*w = -5*t - d + 1, 9 = 5*w + 2*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -28*y**3 - 22*y**2 + 16*y + 2. Let t(w) = -27*w**3 - 18*w**2 + 15*w + 2. Determine -4*o(s) + 5*t(s).\nAnswer: -23*s**3 - 2*s**2 + 11*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let j(f) = 21*f**2 + f. Let g be j(c). Let x = -1684 - -1744. Calculate the greatest common divisor of x and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044672 is divided by 294?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/12)\/((-1)\/2). Let r = -8 - w. Let p be (2\/(-1) - -3)*r. Let b(x) = x**3 + 3*x**2 + x - 2. What is b(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:49 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -530, -1083, -1638, -2195, -2754, -3315?\n\"Answer: -k**2 - 550*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 5. Suppose 3*y - 438 + 75 = -8*y. List the prime factors of (11\/y + 4\/q)*193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 34\/15 (b) -5 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-18 + 7 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 1038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10609272 and -127\/7072848?\nAnswer: 21218544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.153 (b) 12263 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -4, 83 in decreasing order.\nAnswer: 83, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*p - 45. Suppose -p*c = -205 + 189. Solve a + 7 = -c*b, 28 = -0*a - 5*a - 3*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10920 and 2642850?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1171 + -1171. Solve o + 14 = 2*z, -z + 6*z - o - 29 = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -29.83\nAnswer: -178.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102812.06649 rounded to the nearest ten?\nAnswer: 102810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 17*y + 19. Let f be z(-16). Let c(t) = -t**3 - t + 2. Let q be c(0). Solve -20 = -f*l - 2*l, 0 = q*n - 4*l + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-3 - 2838\/715 - (-31 - -14)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580468 - 0.482.\nAnswer: -580468.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:37 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14222 is divided by 108?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 11*h**3 + 0*h**3 - 8*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*h - 2368 - 101, 2*j + 1976 = 4*h. Solve -h*s - 60 = -503*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/8 - 3\/(-12). Suppose -y*t + 22 = -t. Let o be 3*(-3 + t\/3). Solve -o*p - p - 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810*f = -807*f - 12. Suppose -4*s - f*u + 11 = -s, -s - 5*u = 0. Suppose -3*l = 2*l. Put l, s, -5 in ascending order.\nAnswer: -5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116930371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*y - 27 - 36 + 57)*(-5*y + 2*y - 8*y).\nAnswer: 330*y**2 + 66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-282)\/24 + 11)*(3 + 147\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 = -5*a + 24, 5*a - 39 = -m. Calculate the remainder when a is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 19 - 16 = -23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*x = -689 + 673, 0 = -f - x + 12. Solve m + 3 = -f*w + 25, -2*m = 2*w - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5648420280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z - 7. Let h(w) = 10*w + 7. Let c(a) = 2*h(a) + 3*o(a). Let k(v) = -v. Let d(r) = -c(r) + 6*k(r). Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 39 (c) -0.23 (d) 2 (e) -2.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14153537, -14153516, -14153495, -14153474, -14153453, -14153432?\n\"Answer: 21*v - 14153558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - q + 1 + 26*q - 80*q - 7*q - 12*q.\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + r + 36070, 3113 = i + r - 14919. What are the prime factors of i?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*s - 16, -5*t + 8*t - 4 = -s. Suppose v = n + 2 - 35, -t*v - 101 = -3*n. What is the remainder when 419 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 10, m + t + 0 = -8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 10) to base 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 530, 4445, 15230, 36371, 71354?\n\"Answer: 581*b**3 - 51*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - 4*q + 2*q**3)*(6*q**2 + 4*q**2 + 4 - 14*q**2).\nAnswer: -8*q**5 + 16*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.05 in 171, 0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.89 + -2. Let k = j + 1.11. What is the closest to k in 1, 0.5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 1\/3, -10.4, -1, 47\/2, 1\/2, -0.06?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0 + 1\/12*i**4 - 7*i + 11\/2*i**2 - 1\/6*i**3. Determine f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 21 = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**15*l**(8\/3)\/l assuming l is positive.\nAnswer: l**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010010 + -100?\nAnswer: 11100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 65852*a**2 + 66406*a**2 as z*a**2 + k*a + x and give z.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 0. Let k(l) = 49*l - 62. Let y be k(1). Let t = j - y. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*q + 3, 0 = c - 4*c + 5*q + 29. What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 12*x**2 + 11*x - 31. Let j(c) = -c**3 - c**2. Let o(s) = -j(s) - r(s). Is 17 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 14*z - 15. Suppose -52 = -11*f + 7*f. Let p be y(f). Let l be p\/4*0 - -184. Calculate the highest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4622460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7427624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 16*n + 11. Let c be y(-14). Let b = 2 - c. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -2*t - x - 26, 2*t - 156 = 3*x. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1836?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4337340 and -89\/722890.\nAnswer: 4337340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/30 + 1\/10. Suppose -97*j - 9824 = -9339. What is the closest to 2\/5 in j, -3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/8 + k**3\/2 + 8*k**2. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j - 12. Suppose -2*w = -u - 0*u - 7, w + j*u = -19. Solve -w = m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 9\/113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -33)*(207\/15)\/((-3)\/2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 88. Suppose 0 = -j*h + h + 353. Suppose -5*s + 335 = 5*i, i - s - h = -4*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -77*w + 64. What is the tens digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 24 = 4*r, -r - 5*y + 0 = 6. Let v(l) = -5*l + 7. Let b(s) be the third derivative of -s**4\/4 + 4*s**3\/3 + s**2. Calculate r*b(d) + 7*v(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5)\/z)**(1\/23)\/(z**(4\/9)*z*z**2\/z*z*z*z))**(-20\/3) assuming z is positive.\nAnswer: z**(22612\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 5*z - 20, z = -4*j - 7. Let o = 9521\/10 + -953. Are o and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 117.4. Let o = 29 + z. Which is the nearest to -2\/7? (a) -2\/3 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*h = 176, 2*v - v + 4*h - 93 = 0. Suppose -4*q - v = -145. Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028 + -0.026. What is w rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-190)*20672\/10880\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/3))**(13\/8)*(g*g*g\/g**(-2))**34*(((g**1*g)\/g)\/g*g*g)**15\/(g**(-2\/21)\/(g\/(g\/((g*g*g\/g**(-1)*g)\/g)))) assuming g is positive.\nAnswer: g**(1459\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 78 = -17*u, -1 + 22 = -5*k - 2*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 452390*r + 60 - 452387*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6 + 3*i**2 - 8*i**2 + i**3 - i**2 + 6*i. Let v(q) = 5*q**2 + q - 1. Let l be v(1). Let n be b(l). Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 15\/(-35)*(-7)\/2. Let x = 0.3 + -0.8. Let y be (0 - 1)\/((-2)\/(-24)*4). Which is the closest to w? (a) -8 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515444 by -4.\nAnswer: -128861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7691 - 508*x - 7691.\nAnswer: -508*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 6563381 and -1230949.\nAnswer: 5332432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*g - b + 8, 2*g + 24 = -4*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*z**2 + 2*z**2 - 3*z**6 - 3*z**2 wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 3232?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 45 = 6*q. Suppose -333 = -q*k + 402. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.867 (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5164 is divided by 1278.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, 2\/21, 6, -0.03, -12?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 1226, 1912, 2596, 3278, 3958?\nAnswer: 4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 14*y - 532. Calculate the remainder when i(20) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2068*b**2. Let l(z) = 695*z. What is l(i(u))?\nAnswer: 1437260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 22. Suppose 504 = c*a - 4*a. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3471*r - 445*r + 179*r = 4596*r - 391651 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2 (c) -11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 148\/222*15\/2. Let x(q) = 2*q**2 - 12*q + 11. Give x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 696.9633t?\nAnswer: 696963300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131 in -5, 0.3, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11011120 - 10?\nAnswer: -11011130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - g + 1580 + 4195 = 0, 5790 = 3*f - 4*g. Calculate the highest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530352722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/(3*(-4)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 47*w - 51*w - 14778 = 0, 28 = 4*w. What is the remainder when i is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 269 - 283 = 0. List the prime factors of 23\/a + 3704\/6.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 - q + 8. Let d be y(7). Suppose -n + 3*n = -8. Let s be d\/((n\/(-9))\/4). What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117093 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*w**2 - 6392*w - 4842 + 6391*w + 2*w**3 - 3546 with respect to w.\nAnswer: 6*w**2 - 244*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26622*v - 26629*v - 26621*v + 79869*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45214 (base 8) in base 13?\nAnswer: 88c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*b + 4*d, 0*b - 56 = -3*b - 5*d. Suppose 0 = 3*o + 2*s - 41, -2*o + 3*o - s = b. What is the units digit of (40\/o)\/((-4)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 18. Let y(v) = -v**3 + 6*v**2 + 3*v - 5. Let r be y(p). Suppose 2*m = r - 3. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexbxitqixeqib. Give prob of picking 1 i and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:58 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-176)\/(-3)*3 + 2. What is m rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)\/1 - 10\/(-2). What is the third derivative of w**p - 2*w**2 + w**3 - 2*w**3 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 344? (a) 26\/1203 (b) -2\/9 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 6. Let d(k) = -1. Let c(f) = 11*d(f) + 2*v(f). Let q be c(2). Let i be (2 + -3)*(-4 - 1). Solve -2*s = t - 1 - 4, q*s - 20 = -i*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 294 + 250 = h, 4*h = -4*y - 88 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/12 + 9*p**2\/2 + 33*p - 1. Let l(z) be the first derivative of s(z). Let w(o) = 1. What is -2*l(d) + 18*w(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/617 in 32, 2\/21, -5\/6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222498229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0*c**4 - 4*c**4 + 3*c**4) + (3*c + 4*c + 0*c)*(5*c**2 + 4*c**3 - 5*c**2).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 115598, 115596, 115592, 115586, 115578, 115568, 115556?\n\"Answer: -b**2 + b + 115598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let i(k) = -3*k. Let p(m) = 2*m. Let q(n) = 2*i(n) + 2*p(n). Give y(q(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25879631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -q, 4*q - 4*g - 4 = 4. Suppose 4*k - 13 = -89. Let c be (-95)\/k - 1*22. Put q, 5, -1, c in increasing order.\nAnswer: c, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 1761, 2462, 3215, 4038, 4949, 5966, 7107?\nAnswer: 8390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g + 54*g + 169425 = 3*t, -t = -g - 56489. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12694 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w - 3. Let x be l(-1). Suppose x = -7*h + 52 + 25. What is the remainder when (129\/9)\/((-2)\/(-6)) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**2*r*t**2 - 4*o**2*t**2 - 2*o*r - 2*o - 3288*r*t**2 + 9*t**2 - 14 with respect to r.\nAnswer: -3*o**2*t**2 - 2*o - 3288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154586*x**3 + 30446*x - 2 wrt x.\nAnswer: 927516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + (-8 - -4 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*d**2\/7 + 50*d\/7 - 4\/7 = 0. What is d?\nAnswer: -1, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i + 1444*i = -184*i - 90944 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2\/8 - 153052641*v\/4 + 7808370305691627\/8 = 0 for v.\nAnswer: 51017547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abfyakyee. What is prob of picking 2 e?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(7\/28). Suppose 19 = u - h. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3035818905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -45325004?\nAnswer: 45325011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 1. Let t(x) = 21*x**2 - 5*x + 5. Let o(i) = 4*k(i) + t(i). What is the tens digit of o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14977984 and 1792?\nAnswer: 59911936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153406 or 153407?\nAnswer: 153407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*b - 42300 + 9540 - 20744 = 178*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a**3 - 17 + 15308*a**2 + 125*a - 15312*a**2 - 130*a in the form h*a**2 + z*a + l*a**3 + b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 5953575550?\nAnswer: -5953575536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*o**2 + 53*o**2 + 3 + 76*o**2 - 3*o to n + f*o + w*o**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8122833 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u**3 - 7*u**2 - 46. What are the prime factors of a(-7)?\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 88 = 2*i. Let u = -20 + i. Suppose -s = -v + u, 3*v = v - 2*s + 16. Solve -v*z + 3*l = 28, 0 = -z - 2*z - 2*l - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwgg when four letters picked without replacement from {g: 3, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -19, -28, -39, -52, -67?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(2736) + sqrt(2736) + ((1*3*sqrt(2736) - sqrt(2736))**2 - sqrt(2736)).\nAnswer: 60*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuuh when four letters picked without replacement from {h: 1, g: 4, u: 4, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/((-1)\/(-6)). Let j = 5 + i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 0*k - 3*k + 8 - 8.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - 22 - -43) + 67\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237402 and 363?\nAnswer: 237402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103924, 207855, 311786?\nAnswer: 415717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108856620911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-41958)*185)\/(10\/34).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 283203.1\nAnswer: 28320.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0 - z**3 + 0*z**2 + z**2 + 1 + z. Let u(v) be the first derivative of -9*v**4\/4 + 2*v**3 + 3*v**2 + 6*v - 414. Give -6*m(t) + u(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9969 + 49849\/5. Which is the second biggest value? (a) 2\/3 (b) p (c) 2\/3701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624\/4680)\/(835\/(-550) - (-10)\/(-55)).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 2*t + 2*t. Let j be d(0). Let k(c) = c**3 + 4*c**2 + 6*c + 4. Let m be k(-3). Sort m, 5, j in increasing order.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 60 - 0. Let k(l) = 6 - l - 27 + n. Calculate k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010120832065 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 189, 722, 1621, 2892, 4541, 6574?\n\"Answer: g**3 + 177*g**2 - 5*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1536 or -22?\nAnswer: 1536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(1\/12))*s)\/(s*s*s**21)*(s**20)**(1\/53) assuming s is positive.\nAnswer: s**(-13169\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*s**2 + 77*s**2 - 36*s**3 - 64*s**5 + 20*s**4 + 76*s**4.\nAnswer: -4*s**2*(s - 1)*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n - 4. Let u be q(-5). Let z = u + -47. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95.554 + -95.264. Let l = -53 + 425\/8. Which is the nearest to -1? (a) l (b) 2 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, p: 7, c: 2}. What is prob of sequence cppl?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000915 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(131 - 24*r - 131).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/9*(-33)\/308.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5 and 63\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 3*v - 8*v + 21912 = 0. What is the highest common divisor of 21580 and v?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 847110440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:17 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(78)\/(sqrt(726)*1))**2.\nAnswer: -8*sqrt(13)\/11 + 2070\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa0 (base 11) to base 12.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 2*p + 9. Let a(m) = -147*m + 76*m + 70*m + 4 - m**2. Give -7*a(c) + 3*k(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 30*g**2 - 35*g - 172. Let t be j(-29). Solve 5*p = 4*i - 10, 2*i + t = -i - p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k, 2*i - 3*k - 2 = -2*i. Solve -2*y = -0 - i, -3*y - 1 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7083, -28316, -63689, -113190, -176807, -254528?\n\"Answer: 2*g**3 - 7082*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1108000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-4)*44\/11. Suppose 3*s + 20 - 174 = m, 5*m = -3*s + 130. Suppose -4*x + t + t = s, 79 = -5*x - 3*t. Is x not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1298, 2603, 3910, 5219, 6530?\n\"Answer: o**2 + 1302*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 9. Let j(p) = 1. Let w(o) = -2*j(o) - v(o). Is w(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 10248200*q\/3 + 6832136.\nAnswer: -2*(q - 2)*(q + 5124102)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 428632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f + 8*f - 2 - 4*f**2 + 3*f + f**3. What is the units digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 73?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 394*k - 1. Let h be s(2). Suppose -5*f + 2*x = -781, 4*f = -f - x + h. Suppose -f = -5*c - 22. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/238 + (-76)\/28. Let n = 47 - 77. Which is the smallest value? (a) -1\/4 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (402\/243 - -4)*36\/(-72). What is the smallest value in w, -3\/2, 2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3049*s - 380*s**2 + 3058*s + 395*s**2. Let w(g) = g. Let f(u) = 4*u**2 + 5*u. Let p(h) = -f(h) + 3*w(h). What is -9*p(t) - 2*y(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25*v**3 + 2*v**2 - 11*v - 3. Let g(l) = 2*l**3 + l**2 - 2*l - 1. Determine -b(m) + 3*g(m).\nAnswer: 31*m**3 + m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1.8, -2, 0, -0.2 in decreasing order.\nAnswer: 1.8, 0, -0.2, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) 0.3 (c) -34591 (d) 2\/37 (e) -0.4 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 246*c**2 + 1509*c - 17. Determine j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.16*55.94.\nAnswer: -64.8904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*b = -8 - 22, -j - 2*b = 15. Let h be -18*(-3)\/((-18)\/(-8)). Let d = h + j. What is the greatest common divisor of 152 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 10) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 18 + 0)*(y - 4*y + y)*(84*y**2 - 4*y + 4*y).\nAnswer: -3528*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1085775 by 1.\nAnswer: 1085775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15169, -15167, -15165?\n\"Answer: 2*y - 15171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -475*c**5 + 4*c**3 + 4892*c + 1 wrt c?\nAnswer: -9500*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 13*n**4\/4 - 47*n**3\/6 + 56*n. Find the second derivative of h(a) wrt a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -29. Let p = -7.9 + 8. What is the nearest to 1 in f, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*s*z**2 - 16660*s - 1079*z**2 with respect to z.\nAnswer: 12*s*z - 2158*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 4*n**2 + 7*n + 1. Let q(h) = -180*h + 1617. Let d be q(9). Give p(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052 - 12.318.\nAnswer: -12.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**4\/11 + 538*u**3\/11 - 7360*u**2\/11 + 474*u = 0. Calculate u.\nAnswer: -79, 0, 3\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 4. Give f(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*k**2 - 24*k**5 - 16*k**2 + 6*k**5 wrt k?\nAnswer: -1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = -y + 3, -5*y - 3 = -3*d. Suppose 3*n + x - 750 = 924, y = 3*n + 3*x - 1680. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*i + 450, 3*s + 2*i - 541 = 142. Suppose 4*r - s = -29. Let v = r + -19. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -504.86224 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 2*a = -15 + 39, 4*a = 5*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*i + 8. Suppose -u + 640002 = l, -5*u + l + i*l = -3199992. What is u rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54193.45 grams to milligrams.\nAnswer: 54193450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*r = 12*r - 589 - 363 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let i(k) = -k**3 + k**2 + 3*k + 4. Let w be i(n). Let a = w - -7. Let z(b) = 3*b + 7. Let c(m) = -m - 3. Calculate a*z(h) + 5*c(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14.7389*1.053\nAnswer: -15.5200617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15091, -29677, -43743, -57295, -70339, -82881, -94927, -106483?\nAnswer: -117555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/256 and 67\/320.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/10 (c) -4\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 + 4. Let k be t(0). Suppose 0*g - g - 2*z - 12 = 0, 0 = -k*g - z - 27. Calculate the remainder when 10 is divided by g*1\/(0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 146 in descending order.\nAnswer: 146, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/57)\/(43\/(-258))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 223 = -219. Find the second derivative of 117*y**4 + 120*y**4 - 3*y**5 + 0*y**5 - 238*y**c - 79*y wrt y.\nAnswer: -60*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68777414 divided by -2.\nAnswer: 34388707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 5*p**2 - 12*p**2 + 3*p**2 - 14*p - 6*p.\nAnswer: p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let l(q) = 5*q**2 + 1 - 10*q**2 - q**3 + f - 3*q + q. Let n be (-5)\/(-2)*((-36)\/(-10))\/(-3). Determine l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.07261, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400031*v + 301138*v + 1096400*v + 627448*v.\nAnswer: 1624955*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 5*l + 1. Let r be s(-4). Let x(j) = 6*j**3 - 3*j**2 - 7*j - 7. Let n(w) = w**3 - w - 1. Let t(q) = r*n(q) - x(q). Is t(3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:24 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.9 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277801*x = 277697*x + 4056 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1100 (b) -2\/11 (c) -1\/4 (d) 0.2 (e) -1\/9 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**4 + 5590381*g**2 - 21994675*g?\nAnswer: 36*g**2 + 11180762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a, 4*m + 7*a - 9 = 4*a. Suppose -5*g + 3*k = 32, -3*g - 4*k + k = 24. Let q be (-3 + 1)*(-9 - g). Solve -q + m = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 36*l**2 + 183*l - 8. Calculate k(30).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285775, -285831, -285911, -286021, -286167, -286355, -286591, -286881?\nAnswer: -287231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 + 6*v + 3. Let l(h) = 2*h**3 + 24*h**2 - 6. Let a be l(-12). Let f be 3\/6*a + -1. Let x(k) = -1 - k**2 + 0 - 3*k + 2*k. Give f*x(t) - b(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -69. Sort 3, -2, m in descending order.\nAnswer: m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41944849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*o + 500, -167 = -2*h + 3*o + 8. Let g = h - 96. What is the units digit of ((3\/(-4))\/g)\/((-1)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85386 divided by -107\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 25 + (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 15*p**2 + 22*p**2 + 3*p - 2*p - 2 to the form h*p**2 + s + v*p and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 287043 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -3d?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15132 + 363247\/24. What is the common denominator of a and 12\/11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100100 (base 3) in base 16?\nAnswer: -3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -439 + 437. Which is the second biggest value? (a) 0.4 (b) -5 (c) 9 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*m*q**2*s**2 - 2*m*s**2 - 5*q**2*s**2 + 2*q + 18*s**2 wrt q?\nAnswer: -32*m*s**2 - 10*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(0 - 6)*-974)\/(-2). Suppose -3*u + 5*i - 51 = 0, 84 - 16 = -4*u + 4*i. Let j = c - u. What is j rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from evvgeevgevevkvvgegg.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19732903 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.613?\nAnswer: 0.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -688.2573 minus -91153?\nAnswer: 90464.7427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 1, i: 12}. Give prob of picking 1 i and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1710 and 141112050?\nAnswer: 423336150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let n(m) = m**2 + 1. Let a(g) = -7*g**2 - 7. Let z(c) = f*n(c) + a(c). Differentiate z(r) with respect to r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**3 - 89*i**3 + 189*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 10 + 10)*(1 - 1 + 2*i) - 2 + 1 + i - 3*i.\nAnswer: 30*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 293\/14. Let j = t + 5\/21. Factor 0 + j*y**3 - 1\/6*y**2 + 0*y.\nAnswer: y**2*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*x - 12 - 20*x - 32 + 13*x wrt x?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/507990 and -29\/4?\nAnswer: 1015980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 13, n: 3}. What is prob of picking 1 n, 1 q, and 1 v?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**18))\/m*m**18)\/(m\/(((m**(-1\/4)*m*m)\/m)\/m)*m**(-18)) assuming m is positive.\nAnswer: m**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 3*p - 7*p. Let r = p - -200. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 85\/(-15)) + 2\/6. Suppose 0*l + 1\/3*l**2 + 0 - l**k + l**4 - 1\/3*l**5 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 v when three letters picked without replacement from {v: 12, g: 1, l: 1}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 18. Let t(h) be the third derivative of -2*h**2 + 0 + 0*h**3 - 1\/12*h**4 + 2*h. Calculate x(t(m)).\nAnswer: -16*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 1. Let n(a) = -1 + 3*a - 6*a**2 + 7*a**3 - a - 4. Let m(w) = 6*d(w) - n(w). What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319340?\nAnswer: 2, 5, 7, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 16. Let o(c) = -c**2 - 6*c + 5. Let r be o(-7). Let i be -2*(n + r + -1). Sort 2, 5, i in increasing order.\nAnswer: i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3795 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*q + 3*i, 0 = -3*q + 4*i + 16. Suppose q = -k - 2*k. Suppose -8*u + 5*u + 120000 = k. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1783.\nAnswer: 3\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 - (0 + -8 + 13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(4\/(-10) - -17*6\/(-1020)). Solve 13*p + v = 9*p + 2*u, 2*u = 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284 - -5859. Suppose 4120 = 35*s - g. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0646653 - -0.0647. Round w to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iviiiiiviiiiiiiv. What is prob of sequence vii?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let c(t) = t + 4. Let r be c(0). Suppose -3*z = -r*z + 1. Let h(n) = 1 + 2*n - 3*n - z. Calculate q(h(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 58. Calculate the remainder when 174 is divided by w(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - 2)*(2 - 3 + 2) - 9 + 40 + 25)*(3*z + 0*z - z) + 4*z - 2*z - z as v*z + l and give v.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-6)\/36)\/(1\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -11993, -1, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.053 - -1.053. Let s = -0.09 - 1.17. Let r = s - -0.26. Sort r, c, 11 in descending order.\nAnswer: 11, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 3*l**2 - 20. What is the tens digit of i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2785696 and 436258.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(3\/2))*y**4\/y*(y\/y**(-9))\/y**(2\/17) assuming y is positive.\nAnswer: y**(353\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/5*z**3 - 4*z**2 + 0 + 8\/5*z.\nAnswer: -4*z*(z + 1)*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 - 13. Let q = z - 0.1. Let r = 0.299 + -1.299. Which is the closest to r? (a) 1\/4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 6) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 3*i. Let l be w(5). Let u = 17 - 22. Let g = u + l. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:35 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -1, -5*o = 9*g - 14*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1 + sqrt(121))\/sqrt(11) + -1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 17.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.8 (b) -11.5 (c) -3\/7 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(-5*sqrt(192) + 4))**2.\nAnswer: -10000*sqrt(3) + 120625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5857 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1977470 to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482530.\nAnswer: 2, 5, 7, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9*b - 30. Suppose -v + 0 = -b. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {r: 5, d: 3, o: 1, q: 1, b: 1, i: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3\/11 (b) -2\/5 (c) 3\/8 (d) 5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138326 to the power of 1\/2, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**2 + 2*a - 3. Let q be o(-5). Let x = 1267\/6 + q. Let c = -1419 + 2771\/2. Calculate the common denominator of c and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = u, 0 = -b + 3*u + 22. Suppose 4*j = -5*r, j - 9 = 5*r - 4*r. Suppose -x + 12 = w - 5*x, 2*w + 15 = -j*x. Solve 0 = 5*o + b - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -1.5 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f6 - -1c452?\nAnswer: 1c648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 57. Let t(x) = -x**2 - 14*x - 24. Let o be ((-8)\/(-5))\/((-8)\/60). Let i be t(o). What is the remainder when j(i) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.01 - 0.01. Which is the closest to -1? (a) -2\/3 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/n**(-22)*n*n*(n*n**38)\/n*(n\/((n\/(n*(n*n*n**(-20)\/n)\/n))\/n))\/(n*n**(-13)) assuming n is positive.\nAnswer: n**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.074 - 0.574. Let g = 0.3 - 0.5. What is the third smallest value in g, -3\/8, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {m: 4, y: 4, o: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016026154 rounded to four dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*n + 4*n - 15*n)*(2 + 1 - 5)*(2 - 2 + 2)*(-1051 + 455 + 481) to q + m*n and give m.\nAnswer: -11040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/58 and -22\/261.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = s. Let a = -13 - -21. Suppose 4*f - f = 3*l - s, l = -f + a. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 8458013?\nAnswer: 25374039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from rvrvzrrvzrrr.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccucuuc. What is prob of picking 2 c and 1 u?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.005 - -0.09. Let h = z + -0.085. Which is smaller: h or 0.06?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1666795 nanograms in kilograms?\nAnswer: 0.0000000000001666795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 906124379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 62.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35023486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -32\/5*j**2 + 0 - 1\/30*j**4 + 116*j + 4\/5*j**3. Factor a(o).\nAnswer: -2*(o - 8)*(o - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from {x: 4, u: 3, t: 5}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317580771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66\/7 + -184\/21. What is the fourth smallest value in -4\/13, 1, -3\/4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggyyyyygyyyyyyyy. Give prob of sequence yyy.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 6*m - 2. What is n(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) -1.2 (c) 2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 9. Suppose -k - 2*k + q = 0. What are the prime factors of (16\/3)\/(k\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 3015?\nAnswer: 3015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 479?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(384) - sqrt(384) - sqrt(384))*-6)\/(sqrt(432)\/sqrt(6) + 5*(sqrt(200) + sqrt(8))).\nAnswer: -16*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 27 = 4*k, 144*m - 143*m - 3 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 0 + 1 - (-50978 + 50977)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7096.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 3*d - 389. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*z - 3*z**2 + 247*z - 123*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*t - 7. Let m = -5 + 9. Suppose 15 = m*b - t. Solve -2 = b*y - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:28 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/21*(-394352)\/(-55330)?\nAnswer: -56\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 - 1 = 0, -7 = -3*g + v. Solve 4*t**3 + 2*t**4 + 3*t**2 + 5*t**4 - 5*t**4 - t**g = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184168 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342415 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 2*sqrt(13) + (sqrt(91)\/(sqrt(7)*1) - sqrt(13)) + 3 + sqrt(208) + 5))**2*5.\nAnswer: 3240*sqrt(13) + 22680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 104*b**2 + 104*b. Let x be w(-1). Solve j = 2*t - 0 + 6, x = -5*t - 4*j - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7*t**8\/240 + 17*t**7\/150 + 187*t**6\/300 - 53*t**5\/75 - 5*t**4\/3 - 16*t**3\/15 - 15*t**2. Suppose m(l) = 0. What is l?\nAnswer: -2, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (303451\/(-783327))\/((-6)\/333)?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64975, 65099, 65313, 65623, 66035, 66555, 67189, 67943?\n\"Answer: r**3 + 39*r**2 + 64935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/13, -2, 8\/11 in decreasing order.\nAnswer: 8\/11, -2\/13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r. Let p(x) = 2*x - 8074. Determine p(c(l)).\nAnswer: -26*l - 8074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 3, c: 1, j: 1}. Give prob of picking 1 p, 1 j, and 2 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + 5*y - 1. Let z be ((-16)\/12 + 2)*-9. Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2)\/j*j**(5\/2)*j**(-2)\/(j*j**(-1\/4)*j) assuming j is positive.\nAnswer: j**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.0895.\nAnswer: -0.4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:37 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**8*z))\/z*z*z*z\/z**(-1)*z*(z\/(z*z\/z**(-7)))\/z*z*z*(z\/z**(-8))\/z)**(-13))**(-1\/5) assuming z is positive.\nAnswer: z**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(0 - (-1)\/2). Let i(g) = g**2 - 9 + 0*g**2 - 3*g**3 + 17 - g - 9. Calculate i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -19. Suppose f*n = 14*n + 35. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 120211?\nAnswer: 120214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 29*n**2 + 18*n - 3. Let x(u) = -551*u**2 - 348*u + 58. Let z(b) = 58*d(b) + 3*x(b). Let r(o) = -2*o - o + 2*o + 0*o. Give r(z(k)).\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**7\/5040 + m**5\/30 + 2*m**2. Let k(l) be the third derivative of h(l). Let q(p) = -2*p. Determine k(q(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.0244 micrometers to nanometers.\nAnswer: 443024.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230311 + -302?\nAnswer: 230003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.579*0.5\nAnswer: 1.2895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87, 99, 113, 129, 147, 167?\n\"Answer: d**2 + 9*d + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 4, g: 2, u: 2}. What is prob of sequence uui?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from {z: 7, d: 2, t: 6, g: 2, v: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 9:06 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-61)\/(-9) - 0) + 20\/90. Suppose o*g - 10*g + 15 = 0. Find the third derivative of g*q - 18*q**3 - 9*q**2 - 5*q wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + a - 2)*(9 - 4 + 6) - a - 2*a + 0*a)*(5*a - 2*a - 2*a) to the form w + l*a + v*a**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, t: 1, r: 2, l: 4, w: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -1)*(-3)\/4. Let k = -605 - -610. Suppose 0 = 3*c + 3, -3*c - k = -q - q. Sort q, t, 0.\nAnswer: 0, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40951\/30 - 6826\/5. Let r be 2*(-2)\/5 - (28 + -29). What is the second smallest value in x, r, 3, 0.118?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = -6*o - 140 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10862, 10860, 10858, 10856?\nAnswer: 10854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**3 + 7*i**2 + 45*i. Let w(s) = 5*s**3 - 3*s**2 - 22*s. Calculate -3*h(k) - 7*w(k).\nAnswer: -2*k**3 + 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 + 7*u - 4. Let m(j) = j**3 - 13*j**2 + 12*j + 6. Let g be m(12). Let l be v(g). Suppose 97 = 3*o - l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 9*r**2 + 3*r + 25. Let i be c(-9). Let j(y) = -324*y - 32. What is the hundreds digit of j(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40967359.1 + -5.2.\nAnswer: -40967364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 19*a - 26. What is r(-11)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z - 24*z + 4*z**3 + (2*z**2 - z**2 + z**2)*(-2*z + z + 2*z) + 4*z**2 - 4*z**2 + 3*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 176090498.\nAnswer: -5282714.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4708 + 8778. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9)*-9)\/(-1). Put x, 1, -1 in ascending order.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10)*(-2 - 3). Suppose -2*b - 143 = -j*h, -b + 57 + 101 = 3*h. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:53 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -29*z - 2142. Calculate the remainder when k(-79) is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 73*l**2 - l - 37. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 868 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368 - -6258\/17. Let c = -0.04 + -4.96. Let l = 9 + c. What is the closest to 0 in l, -1\/9, w?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11 = -31. Let m(x) = 17*x**2 + 20. Let g be m(o). Suppose -g*b - 216 = -296*b. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3055 and 0.029586.\nAnswer: -3054.970414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.00373ml in litres?\nAnswer: 0.02100373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1536)*-5 - sqrt(1536))\/(sqrt(300)*2) + 5)**2 + -2.\nAnswer: -48*sqrt(2) + 1727\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-54) - 22\/(-18) - -4. Solve -w = 2*v - v, 4*w - z*v = -45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-8)*r)\/(r*r**12)*(r*r**(-5)*r)\/(r\/(r*r**(2\/5))))**(3\/7) assuming r is positive.\nAnswer: r**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1755 + -1142. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 146 = -490. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -78*u. Give z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + -3 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30453 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 654525197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/9)\/b**(-3)*b**2\/b**(1\/5) assuming b is positive.\nAnswer: b**(226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 smaller than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -33.66.\nAnswer: -30.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 7*z + 2*z)*(-4 - 3*z + 4) + (1 + 2 - 2)*(-2*z**2 - 3 + 3) + (2*z + z - z)*(z + 7*z + 0*z) + z**2 - 3*z**2 + 3*z**2 - 2*z**2 - z**2 + z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138*l = 2350*l - 1167*l + 135. Sort 6, 4, -4, -9, l in ascending order.\nAnswer: -9, -4, l, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251025 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -12\/5*k**4 - 8\/5*k**3 + 8\/5*k**2 + 12\/5*k + 4\/5 - 4\/5*k**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 2524 = 13*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3124 + -3000?\nAnswer: -6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 7 - 3. Suppose 9 = -5*k - 2*f + 4*f, 2*k + 3*f - s = 0. What is the remainder when 18 is divided by 3 - (0 - 0) - k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeweeeveeeeewecweeev. Give prob of picking 1 c, 2 e, and 1 w.\nAnswer: 91\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*h**3 + 12\/5*h + 8\/5*h**2 + 0.\nAnswer: -4*h*(h - 3)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 4. Is b less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1)*-4.\nAnswer: -32*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605171?\nAnswer: 7, 86453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 14. Suppose -w - g = 11. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/3 + 46\/69)\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.5554173 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 107. Let y(r) = r + 1. What is c(d) - 6*y(d)?\nAnswer: -2*d + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let p be (-27)\/(-6) + v\/6. Solve -p*m + 8 = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 10*l - 8. Let p be m(-8). Let q = p - 2. Calculate the lowest common multiple of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 299, 297, 295?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x**2 - 195*x - 1. Determine l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {d: 3, n: 3, t: 1, f: 2, a: 3, p: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*x - 18 - 9, -3*i + 29 = 2*x. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f + 3. Let r be w(1). Solve -3*l + 2*l + r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142656 is divided by 306093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + 3 - (-5 - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 208*c**2 + 5404*c - 152. What is u(50)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthhtt. Give prob of sequence th.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 305 + 7849 = a, 0 = -r + 2*a + 8148. Suppose -17*d + r = -9*d. List the prime factors of d.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 - 227.9. What is the nearest to g in -5, 1\/3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 + 14 = 0. Suppose -287 = w*y + y. Let r = 53 + y. Calculate the remainder when 59 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139219 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*c + 341*c + 405*c to the form y*c + d and give y.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let o(l) = l + 5. Let k be o(u). Determine q so that -15*q - k + 0 - 5*q**2 - 5 + 0 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/13 + -11\/26. Let s(j) be the second derivative of -f*j**3 + 0 + 3*j - 3\/20*j**5 + 0*j**2 + 0*j**4. What is the second derivative of s(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 14*n**5\/9 - 164*n**4\/9 + 110*n**3\/3 + 164*n**2\/9 - 488*n\/9 - 16 = 0.\nAnswer: -1, -2\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 6. Let l be r(5). Let b(x) = x**3 - x**2 - x + 1. Let p be b(l). Suppose p = -4*c + 13 - 5. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5304 + -4182. Calculate the greatest common divisor of 165 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(612)*2)**2.\nAnswer: 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/21 and -53\/569681.\nAnswer: 1709043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.0602, 3, 0.7 in increasing order.\nAnswer: -0.1, -0.0602, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-18)*3546\/(-10244). Let h be 0 + (-4 - -4) - -4. Put 2, h, f, 2\/5 in decreasing order.\nAnswer: h, 2, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 2 + -2)*47. Suppose q*g - 51*g = -252. What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1647500281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/168*-4*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494131*m**4 - 228046*m.\nAnswer: -5929572*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0846204 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 + 0*n**3 + 0*n**3)*(3 - 4 - 6)*(-1 + 3 - 1) as z*n**3 + q*n + h + t*n**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 184054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 151*f**2 + 158*f + 1193. Calculate o(-150).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 - f + 5. Let n(c) = -c**2 - 3*c + 4. Let m be n(-4). Suppose 25 = -m*d + 5*d. What is w(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7 + 314*o - 2 - 320*o. Let y be b(-2). Suppose -12*g + 2259 = -y*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 34*v - 45. Let z(k) = -14*k**2 - 6*k - 1. Let a(q) = 7*q**2 + 3*q + 1. Let u(n) = v*a(n) + 2*z(n). What is u(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1281, -1285, -1297, -1317, -1345, -1381?\n\"Answer: -4*u**2 + 8*u - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-14)*(11 + -1). Suppose 0*g + 10 = k*g. What is the units digit of 0\/((-4)\/g) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 130*x + 194. Let d(g) = -26*g - 39. Let h(w) = 14*d(w) + 3*n(w). Let y(s) = 5*s + 7. Give 3*h(z) - 16*y(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/14)\/(26\/91).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -24. Let k(n) = 2*n - 2. Let c be k(2). Suppose 0*u + 3*g = u - 5, -c*u + 2*g + 6 = 0. What is the second smallest value in z, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11209, -11208, -11207, -11206, -11205, -11204?\n\"Answer: q - 11210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/340 and -103\/132.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 997*a**2 - 1493*a - 3495. What is t(500)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3\/2, -2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 34820*l + 69632. Give j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -2498978\nAnswer: -1999182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*c - 119 = 369*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41210?\nAnswer: 2, 5, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*y - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86669 is divided by 186?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4 + 0 - 62\/3*f**3 + 0*f + 44\/3*f**2 = 0.\nAnswer: -11, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03605 + 0.035. Let i = 0.003 - u. What is i rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 143*q**2 + 237*q - 11724. Give t(71).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfngo. Give prob of picking 1 n and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4059445 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 1134?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 9*r)*(2 - 2 - 3*r) - 27*r + 27*r + 2*r**2)*(r**2 - r**2 - 2*r**3).\nAnswer: 50*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {i: 6, f: 4, k: 1, t: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76960, 153921, 230882, 307843?\n\"Answer: 76961*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 57 = 153. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 9677248*k\/5 + 11706141106688\/5.\nAnswer: 2*(k + 2419312)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8601\/7 - 1229. Which is the third biggest value? (a) 0.5 (b) 4\/7 (c) s (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*q + a, 308212*q - 308216*q = -5*a - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8583 = 28*t + 8135. Solve -13*x + t*x = -3*z - 3, 3*x = -z + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:22 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 33 - 16 - 3*a + 2*a. Let x be o(-18). Solve 2*l - 30 = x*j, -3*j + 5*j + 13 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 66711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491697?\nAnswer: 3, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155*-1)\/(375\/2100*-28).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 4:18 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4225075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2\/11, -2\/29, -92.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -3*a**2 - 2\/33*a**3 - 1\/44*a**4 + 0 - 1\/330*a**5 + 0*a. Factor s(d).\nAnswer: -2*(d + 1)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.89 + 0.11. Let d be -4*(-1)\/102*3. What is the third smallest value in -1, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/139 - 421\/278. What is the smallest value in 1\/2, l, 2\/15, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 881\/10. Which is the second smallest value? (a) -1\/6 (b) -36 (c) -3\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - ((-1840)\/(-15))\/(-16). What is the closest to q in 7, -4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 4. Let v be k + -1 + 9 + -4. Solve 3*z - 9 = 0, 4*w - v*w = 3*z - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 9) in base 12?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2386440 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 688 = 5*b, -2*b - 2103 = 5*x - 8*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + 1119 + 641 = 473 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 100 - 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14209742?\nAnswer: 2, 73, 97327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587270?\nAnswer: 2, 5, 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 - 1 = 0. Let s = 7 - f. Let i = -1 - -1. Sort s, -4, i in descending order.\nAnswer: s, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4363 < 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30996012181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -2)\/(-2) - -3. What is the second derivative of 4*w**5 - 2*w**5 + 0*w**m + w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*m = 8230845 + 12554804 - 2966921. Round m to the nearest 1000.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:48 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/174 and -111\/22.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -262264, -524695, -787126, -1049557, -1311988?\n\"Answer: -262431*b + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62544609177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**8\/1512 + 11*w**7\/189 - 101*w**6\/180 + 49*w**5\/30 + 205*w**2 - 14. Solve k(v) = 0 for v.\nAnswer: 0, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 695, 1379, 2063, 2747, 3431?\n\"Answer: 684*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11709)\/(-72) + 9\/24. Suppose -690 = -3*i - 3*w, 2*i - c = w + 288. List the prime factors of i.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, 926, 5351, 13650, 27035, 46718?\nAnswer: 73911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = 5*f - 105 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/8, -1\/3, -1\/4, 10\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -59.\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4318*s**3 - s + 137951?\nAnswer: 12954*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -5*u**8\/168 - 13*u**4\/24 - 11*u**2. What is the second derivative of x(g) wrt g?\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - y = 1, 700*y = 4*x + 705*y + 5. Let r be 100\/(-204) - (-2)\/3. Let m = r - -7\/153. Which is the third smallest value? (a) m (b) x (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3 - 3814*t**2 + 43984*t?\nAnswer: 12*t - 7628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 - j**4\/6 - 7*j**3\/6 - 318*j**2. Give p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 25. Let d be s(-4). Suppose 0 = -15*j + 13 + d. Suppose 0 = -4*z - 0 + 12. Solve -5*c = m - 0*c + 4, m + j = -z*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 15*v - 5 - 41*v**4 + 45*v**4 wrt v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15817.383 minutes?\nAnswer: 263.62305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -102*v - 85 + 26. Put v, 9, 3, -33 in descending order.\nAnswer: 9, 3, v, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2682*s + 6. Let x(u) = -2*u - 1. Give -l(v) - 6*x(v).\nAnswer: 2694*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/60 - 23*i**4\/24 + 88*i**3\/3 + 10*i**2. Is 31 a factor of t(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398\/413 greater than or equal to 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22673921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 at least as big as 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*l - 219*l - 76*l = 3305*l - 214334 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2*s**4 - 3*s**4 + (3*s**3 - s**3 - s**3)*(76 - 76 + 7*s + (2*s + s - 5*s)*(-2 + 0 + 1)).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10871, 21783, 32695?\nAnswer: 43607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 17*q**5\/20 - 19*q**2\/2 - 3*q. Differentiate p(r) with respect to r.\nAnswer: 51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5044*s. Let d(k) = 14425*k**2. Calculate d(b(v)).\nAnswer: 366999926800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * 5767.\nAnswer: -2249.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (-15249)\/(-312)) + 8\/(-24)*(-33)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 210426, 420696, 630966, 841236, 1051506?\n\"Answer: 210270*v + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*z + 0*a - 1120 + 1088 = -2*a, 3*z = -a + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 33*h = q + 3, h - 20 = -6*q. What is the smallest common multiple of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/14*(6\/(-124))\/((-819)\/91).\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:35 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 243, 4 in descending order.\nAnswer: 243, 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1432, 3.29, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -3*k**5\/80 + 83*k**4\/16 + 541*k**3\/8 - 1869*k**2\/8 - 102*k - 29. Factor v(r).\nAnswer: -3*(r - 89)*(r - 1)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3138729?\nAnswer: 3, 11, 227, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-6*((-408)\/36)\/(-17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 5*p**2 + 0*p**2)*(4*p**2 - 6*p**2 - 2*p**2).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1022165189 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/5, 0.2, -0.3, -8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggyet. What is prob of picking 1 y and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 5*g**2 - 5*g**2 + 4*g**2. What is y(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 851*x**3 + 969*x**2 wrt x.\nAnswer: 5106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/5 - 18129*i\/5 - 2723422\/5 = 0. What is i?\nAnswer: -149, 18278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 98 = 3*o, -o - 4*x - 26 = x. Let i = 33 + o. What is the third derivative of -9*z**4 - 2 + 2 + 2*z**i + 3*z**2 wrt z?\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4\/3 (c) -355112 (d) -2\/11 (e) 1 (f) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 16 = -4*j, 0 = -3*j + 2*t - 12. Which is greater: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03759194 and -17?\nAnswer: 0.63906298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 3 - 4 + 6*y + 11. Let w be o(7). Suppose -5*b - 8 = -w*q, 0 + 28 = 4*q + 2*b. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/16)\/(1\/10). Let i(z) = -z + 13. Let f be i(9). Let n = -12558\/5 + 2512. Which is the closest to n? (a) v (b) -8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3368040033 to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from owkdddyd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88728 - a6?\nAnswer: 88652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + k - 4 = 5*k, 3*k + 5 = 5*q. Solve -16*j - q = 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 631 = 55. Calculate the remainder when (26\/(-6))\/(-5 - 820\/(-165)) is divided by b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -114*w**2 - 3*w + 2. Let v(u) = 368*u**2 + 10*u - 6. Let x(p) = -16*o(p) - 5*v(p). Let a(d) = 33*d**2 + 5*d + 4. Determine 3*a(r) + 7*x(r).\nAnswer: -13*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 2, s: 1, q: 1, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -2 (c) 118.84 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27703468?\nAnswer: 2, 13, 29, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 16) to base 2\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239\/2 + -125. What is the common denominator of w and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 3}. What is prob of sequence exe?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11001011?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0 (b) 15 (c) 0.2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 11, 4\/21, 5\/6 in descending order.\nAnswer: 11, 5\/6, 4\/21, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 11*y**2 + 35*y + 54. Let g be u(12). Let l = 631 - g. What is the remainder when 50 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808203532.\nAnswer: 2, 3533, 127951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11360 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) 211 (c) -0.7 (d) -41 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(847))*-2 - sqrt(847) - 5*(sqrt(847) + sqrt(847)*1) - (-2*(1 + sqrt(847)) + -5 + 2*sqrt(847)))**2 + 5)*5.\nAnswer: -15730*sqrt(7) + 716345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 18*f**2 - 18*f**2 + (-3*f**3 + 4*f**3 - 3*f**3)*(-4 + 4 + 2*f**2).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 132*g + 72*g = 16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {c: 13, m: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -514 - -518. Suppose -4*p - 2431 = -q + 2934, j*p + 16071 = 3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1010.431 + 1012. Round y to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogfbfuo. What is prob of sequence bf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(272) + -1 + 3*sqrt(272) + sqrt(272)) + ((sqrt(272) + sqrt(272)*1)*5 - 2*1*sqrt(272))**2 + -5).\nAnswer: -52215 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -306, -456, -602?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 2. Suppose 0 = -4*i + 6*i + 18. Calculate the least common multiple of (36\/(-10))\/(i\/30) and r(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2392 = 22*r + 162*r. Calculate the highest common divisor of 2626 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/504 + 438\/(-27). What is the biggest value in 0.1, i, -6\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 618\/5. Which is the nearest to 0.1? (a) l (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6749*a**2 - 6749*a**2 + 4231*a**3.\nAnswer: 4231*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -7227\/1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 10, d - 5*a + 6 = -7. Put 0, d, -4 in increasing order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 - 4a1441?\nAnswer: -4a14a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, -332, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1 + 10) + 104 + -105. Suppose -w*j**2 + 5*j**2 - 7*j - 5*j + 2*j**2 = 0. Calculate j.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 862, 858, 854, 850, 846?\n\"Answer: -4*f + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 125\/3. Let w = -2.693 - 0.307. Which is the third biggest value? (a) w (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12993, 25979, 38961, 51939?\n\"Answer: -2*h**2 + 12992*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 33795822?\nAnswer: 236570754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + d + 4*d = 711, -2*d = v + 725. Let y be (6 - v\/(-119))*1. Which is the second biggest value? (a) -6 (b) 1\/8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v**5\/2 + 7497*v**4\/2 - 50816*v**3 + 176442*v**2 + 86112*v + 9856 = 0.\nAnswer: -2\/9, 8, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - i**3 + 3*i**3 - 242*i + 242*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 3. Let h be j(3). Let l(b) be the third derivative of -b**5\/60 - 7*b**4\/24 - b**3\/6 - b**2. Let u be l(h). Solve -r + 8 = -u*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22676 - 20998. What is the remainder when m is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:07 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 147, 322, 569, 894?\n\"Answer: z**3 + 27*z**2 + 21*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -484893*p**2 + 484892*p**2 + 3 + 7*p + 4. What is f(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 - 186. What is the remainder when (t - -9) + (-2 - (2 - 106)) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150692 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130877385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 15. Let q = 0 + s. Solve -2*p + q*x = -10, p - 3*x - 2*x - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.29 - -66.81. Let c = p + -76. Let d = -4.3 - c. What is the nearest to 0 in -2, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 0*m**3 + 29*m**3 + (-3*m**2 - m**2 - 15*m**2)*(-2*m - 3 + 3) to i + s*m**3 + b*m + f*m**2 and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*a - 1058 + 13124 = 0, 4*a - 24 = 0. List the prime factors of m.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84993 minus 65?\nAnswer: 84928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0347 + -0.0653. Which is the nearest to -4\/7? (a) -1 (b) 0.4 (c) j (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -50*x + 54*x. Let u(z) = 6*z**2 - 1. Let g be u(1). Let a = -5 + g. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 15*o - 528. Let p be f(16). Suppose 20 = 2*l + 2*l. Solve p = 4*q - l*q - 3*m - 8, m = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*s - 22 = -34, 3*j = 5*s + 18. Solve 0 = z - 5*l - 18, j = 5*z - 4*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1271754 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d - 5. Let k be j(4). Let r be (2 - 39\/9) + k. Let t be 40\/110*33\/6. Are t and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55433793?\nAnswer: 3, 2347, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71.16 - 71.46. Which is the nearest to 2\/1191? (a) -0.1 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 u, and 1 r when four letters picked without replacement from {u: 3, l: 2, o: 1, r: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 + 206966*g - 620896\/3 = 0. Calculate g.\nAnswer: 1, 310448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/16 (b) 1\/9 (c) -38\/577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16.198041 months?\nAnswer: 0.00134983675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1, s: 3, a: 1, u: 1, f: 3}. What is prob of sequence fu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 20 - 12, 0 = 5*i - x - 772. Let k be (-14)\/18 - (-6)\/(-27). Let m(n) = -38*n**3 - n. What is the remainder when i is divided by m(k)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(15\/150).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let h = y - 0. Suppose 2*g - 1 = h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46160?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -20) + (-3 - -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.035 (b) -1 (c) -0.09 (d) 0.3 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from nnnnpknnnnn.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 940*l - 1702. Calculate t(190).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -174\/7, -73, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 487*(-6)\/(0 + -6).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*i - 363 = -l, 0 = 3*l + i - 1054. List the prime factors of l.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 3*s**2 + 6*s. Let w be u(-4). Suppose 3*j = -11*c + 15*c - 29, -4*j + c = w. Put j, -4, 3 in decreasing order.\nAnswer: 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -1\/4, 0.5, -4\/5, 0.007, -131, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/7 + -97\/42. Sort n, 1, 0.5 in descending order.\nAnswer: 1, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3104 - -4248. What are the prime factors of n?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*209\/228)\/(2*(-3)\/18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47034\/1710 + -24 - 51\/15.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63120 - 252451 + 63113 - b + 63116 + 63115.\nAnswer: -b + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4527 and 1044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 99845.75kg?\nAnswer: 99845750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*p = 20, 5*d - 20 = -p - 3*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -266*t + 266*t + 15, 0 = -164*t - 3*o + 15 - 24 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/3)*h)\/(h*h*h**(-1\/6)*h)*(h*h**3*h)\/h**(-4\/5)*((h**(-4\/3)\/h)\/(h**(-4)\/h))**43 assuming h is positive.\nAnswer: h**(3599\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, h: 2, q: 4}. What is prob of picking 1 u and 3 q?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21995 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let p be t(-2). Let h be (-3)\/6*-2*2. Find the second derivative of h*v - p*v**2 + v**2 - 3*v + 2*v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:57 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765097 is divided by 442.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/20 and (-30)\/76*(8 + 5430\/(-650)).\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f + 4. Let y be m(-7). Let d be (1\/y)\/((-2)\/(-4)). What is the closest to d in 3, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101100 (base 3) to base 7\nAnswer: -12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/8*6 + 8\/(-32). Let m be (-1*4\/(-24))\/(-1). What is the biggest value in m, t, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 3*l - 12. Solve -5*j + f = -j, l*j + 15 = -3*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022278 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/4 - 1431*p**3 + 679719*p**2 + 2736072*p + 2741808 = 0 for p.\nAnswer: -2, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43767, -43370, -42705, -41772, -40571?\n\"Answer: 134*s**2 - 5*s - 43896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*l*x**2 + 214*l*x - 3*l - 8*x**2 + 14517 wrt l?\nAnswer: 96*x**2 + 214*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62479 is divided by 254?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14160?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 325 = -2*y. Let l = y - 41. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6352\/728 - 4\/7.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -180*p. Let n(w) = 137*w. Let t(i) = 4*n(i) + 3*o(i). Let r(s) = 201*s. Determine t(r(j)).\nAnswer: 1608*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Solve -v - 1 + 3 = 2*c, -r*c = 3*v - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -205411966\nAnswer: 41082393.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 65748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -5*m - 171. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -15. Suppose -3*y = -a*t + 192, 2*t + 5*y + 81 = 209. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffdddooodffffaf. What is prob of picking 1 o and 1 d?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -4, -33, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40561.88ml?\nAnswer: 40.56188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -230 + 112 + 3*d - d - 3*d + 117. Calculate h(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h. Suppose -4*j - 4 = 5*c - 23, 8 = 2*j + 4*c. Let v be 3\/4*(-6)\/j. Is h bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.161151.\nAnswer: -1.61151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1593*c + 2833*c + 5 - 5735*c - 5.\nAnswer: -1309*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**3 - 4*c**2 + 2*c + 17. Let o(t) = -22*t**3 + 17*t**2 - 8*t - 67. Calculate -2*o(x) - 9*u(x).\nAnswer: -x**3 + 2*x**2 - 2*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:58 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23085 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5) + 0 + sqrt(5) + -1.\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let s(z) = -5*z. Let o(v) = -7*p(v) + 3*s(v). Let r(t) = -3*t + 3 - 3. Determine o(r(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ybe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 53 - 54 - 57 + 164 + 657*v**2 as y + o*v + m*v**2 and give m.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose 0 = -y*w + 2*z + 36, 24 + 31 = 5*w + 2*z. Suppose -3*j = 3*v - 69, v + 4 = -5*j + 127. What is the remainder when j is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 45. Suppose -u = z - 2, 0 = z - 4*u + 2 + 1. Solve 4*s = -z + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + 20844541759?\nAnswer: 20844541758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/12))\/(a*(a*a\/a**(-1\/19))\/a)*a\/a**(-28)*a**(-35)\/a assuming a is positive.\nAnswer: a**(-1931\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32612 + 32612 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 31*u - 432 = -138 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -456 + 796. Let k = m + 889. List the prime factors of k.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 864 = -60*a - 5*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9074 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -98818.1836 rounded to the nearest 10?\nAnswer: -98820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22298*k + 4570*k - 6847*k.\nAnswer: -24575*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 17*g - 52*g - 289 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 11:57 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i = 14*i + 50 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126\/4 - (-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v + 12. Let d be (-432)\/v - -2 - 0. Suppose -2*n = -3*o + d, 4*o - 148 = 5*n - n. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {w: 2, k: 3, p: 2, a: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 7\/6, -62, 3.2, 0 in decreasing order.\nAnswer: 3.2, 7\/6, 0, -0.2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679 - -590. Suppose 4*t = a - 109. Calculate the highest common factor of t and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 44, 2*f = 3*c - 17401 + 17424 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28237219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 11*h**2 + 1031 - 1033.\nAnswer: -13*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 + 323 = 2*x. Calculate the greatest common factor of x and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5280192)\/(-412))\/72)\/(3\/((-3)\/(-2))).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -47\/4. Let i be ((-3)\/6)\/((-2)\/(-16)). Let f = i + 4. Is f smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 928 and 1625 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 1. Let z(a) = a**2 - 12*a + 15. Let r = 30 + -18. Let q be z(r). Let h = q + -16. What is c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 + c**2\/2 + c + 2. Suppose 11 = -6*x - 1. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389 or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -14*b - 55. Let g(i) = -31*i - 3 + b*i + 19*i. Suppose -m = m - 8. Calculate g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - 2*z + 1. Suppose -3*v - 4*g - 30 + 4 = 0, 0 = -3*v + g - 1. Let q be j(v). Let k be (-13 - q)\/(4\/(-6)). Put -1, k, 7 in decreasing order.\nAnswer: 7, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - m + 17. Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -211\/1119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75882, -303716, -683440, -1215054, -1898558, -2733952, -3721236?\nAnswer: -4860410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*b**2 - 32*b**3 + 46*b**2)*(-b - 2 + 2).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5868 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60))\/(sqrt(5) + (sqrt(220)\/sqrt(4))\/sqrt(11)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5038000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4024017 divided by -4.\nAnswer: 4024017\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38671974 divided by 2148443?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4991 + 9395. List the prime factors of z.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -774*m + 5*m**4 - 6*m**4 + 859*m - 2*m**4 + 4*m**4 - 4*m**4 - 2*m**4 + m**4 - m**4 + (3*m - 7*m + 3*m)*(3*m**3 - 2*m**3 + m**3).\nAnswer: -7*m**4 + 85*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24871296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10432.1115 microseconds in days?\nAnswer: 0.00000012074203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((560\/(-45))\/7).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 16312784*b**2\/5 - 32625562*b\/5 - 3262556.\nAnswer: -2*(b + 1)**2*(b + 8156390)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129*s**4*y**3 + s**3*y - 2*s*y**3 + 9*y**3 - 12*y**2 wrt s?\nAnswer: 1548*s**2*y**3 + 6*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 3. Let a be (-2)\/k + 84\/49. Suppose o - 4*f - 20 = 0, 3*o - a*f - f = 24. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4)\/(-450)*5\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8759 + -5417. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:20 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 27 - 65)*(796 + 54*t - 4*t - 799) as a + j*t and give j.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -25*v - 2*v. Solve -2 = -v*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y = -30*y - 37920. Round y to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12))\/((-43)\/129)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 30 - 3 = 5*q + 3*c, 0 = -174*q + 175*q - 12*c - 45 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6117553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/3)\/(-2))\/(45\/(-9))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -14887\nAnswer: -29774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**7\/1365 - 49*x**6\/780 - 331*x**2. Find s, given that w(s) = 0.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6110 and 3\/1457.\nAnswer: 189410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458414399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-504) + 56\/(-96).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**5\/15 - 169*s**4\/3 + 113566*s**3\/9 + 38194*s**2 + 38307*s - 1578. Factor g(z).\nAnswer: (z - 339)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614851250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933185421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108888671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -512 - -515. What is the second derivative of -10*n**t - 6*n**3 + 2*n + 21 + 16*n**3 - n - 176*n**5 wrt n?\nAnswer: -3520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-13 - -8 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.513 - -26.648. What is s rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 13*u + 41*u + (2*u + 2*u - 5*u)*(2 - 4 + 3) - 2*u + 0*u + 0*u)*(2*u - 3*u + 2*u)*(-5 + 1 - 1).\nAnswer: -65*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26353981 and 2679?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101302 and -2.\nAnswer: -101304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let f(t) = t**3 - 12*t**2 - 13*t - 1. Let o be f(13). Determine i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:51 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k**3 + 6*k - 2*k**3 - 6*k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2210415712 and -3.3192.\nAnswer: -3.0981584288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000133 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 + -466. Let k(p) be the second derivative of p**5\/5 + p**4\/2 - 4*p**3\/3 - 5*p**2\/2 + p. Let u(f) = f**3 + f**2 - f - 1. Determine v*u(l) + k(l).\nAnswer: -2*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 48. Suppose 2*s - 3*i + i = 6, a = -3*i - 9. Let z be (-3)\/(-2 + 6\/2). Sort -1, z, s.\nAnswer: z, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/8 - 168681*d**4\/8 - 23320827*d**3\/8 - 805061295*d**2\/8 = 0. What is d?\nAnswer: -69, 0, 56365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-2*3 - sqrt(240)\/sqrt(6)*-4)\/(4*sqrt(24)\/(2*(sqrt(3) + 2*sqrt(3)))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, -197, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16760233.0000006 - -16760237. Let k = z - 4. What is k rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3629 + 18668?\nAnswer: 21196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -101*t - 151. Let w(n) = 99*n + 154. Suppose z + j = 6*j + 19, -3*z - 43 = 5*j. Let c(b) = z*w(b) - 5*l(b). Find the first derivative of c(f) wrt f.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20258, -0.4, -1\/3 in decreasing order.\nAnswer: -1\/3, -0.4, -20258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -31551 (base 8) to base 5\nAnswer: -410121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 - 7 = 0. Suppose 315 = -0*o + p*o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrrvrcrvcrwzwcr. Give prob of sequence vw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:43 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -837 + 1321. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 43070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2. Let u(z) be the third derivative of z**5\/12 + 2*z**3 + 1453*z**2 + 2*z. Determine u(o(h)).\nAnswer: 45*h**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 29*a + 2)*(25*a + 9*a + 19*a)*(2 - 4 + 3).\nAnswer: -1537*a**2 + 106*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u - 4. Let a be k(-3). Suppose a = 5*c - 4*q, -5*q + q = c - 10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -49*o + 1059. Let a be h(21). Let r = -5 + 0. Let p(d) = -d - 2. Let x be p(-3). Sort a, r, x in increasing order.\nAnswer: r, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 433864885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*x + 7*d = 74, 4*x + 61 = 2*x - 5*d - 64 + 124 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*395\/(-1422).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1391247809206128487\/388500 - 3581075441974. Let f = -1\/32375 + p. Find the common denominator of f and -13\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -147. Calculate the remainder when (u\/6)\/(9\/81) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3 - 429*l**2 + 106272*l + 2756160 = 0.\nAnswer: -264, -24, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*x**3 + 301580*r**2*x**2 - 6*r**2*x + 169552*r**2 wrt x.\nAnswer: -6*r**2*x + 603160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 281 - 1125 = k, l = -5*k - 4168. Let v = k - -5828\/7. Which is bigger: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272825727 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377507745163\/4070 - 92753747. Let p = 6\/185 + c. Let o = 3612 - 50511\/14. Find the common denominator of p and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 6383151*n**2 + 3395324083320*n + 64513461921168 = 0. Calculate n.\nAnswer: -19, 1063868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(9\/16)*-3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 24*j**2 + 23*j + 15. Suppose -y + 73 = 3*m, 5*y + 3 + 23 = 2*m. Let i be n(m). What is the smallest value in -2, 1\/8, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*w = 37*d + 42, -5*w - 2*d = -5*d + 30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:51 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0 + y**3 - 46*y**2 + 1\/20*y**5 + 0*y - 3\/8*y**4. Solve q(j) = 0 for j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*-1)\/(2\/4). Let o be (f - -5 - 2)*4. Let x be (-12)\/44*o\/6. Which is the second smallest value? (a) 0 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 16. Solve u + u + b = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1074 + 1074. Suppose 2*r = -2*r + 188. Suppose j*i - i + r = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/2 - 110205*v**3\/4 - 82659*v**2\/2 - 55107*v\/4 = 0.\nAnswer: -1, -1\/2, 0, 18369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -7, -5, -3, -1?\n\"Answer: 2*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(0 + (-3)\/(-6)) - -3. Let x = y - 7. Solve 5*c + x = -s, 2*c + 10 = 3*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*s + 38. Suppose 45*r = s*r - 8. Factor 0*k**2 - 1\/5 + 2\/5*k - 2\/5*k**3 + 1\/5*k**r.\nAnswer: (k - 1)**3*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12965171, -25930344, -38895517, -51860690, -64825863?\n\"Answer: -12965173*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 1, w: 1}. What is prob of sequence wx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (2 - 1)*1. Let k be ((-5)\/10)\/(2\/(-12)). Let u(a) = -4*a**k - 2*a - x*a + 4*a - 11*a**3. Give u(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 14*b + 158. What is t(0)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*b + 3*b. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*c**2 - 60*c**2 + 136*c**2.\nAnswer: 378*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u = -939755 + 939979 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 148. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**7\/105 + 17*i**4\/12 - 29*i**3 - 2*i**2 - 25*i. Find the first derivative of s(h) wrt h.\nAnswer: 8*h**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 851*a - 4. Let u(i) = i**2 + 27*i - 1. Give -o(b) + 5*u(b).\nAnswer: 2*b**2 + 986*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448882 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {d: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 26170652302.\nAnswer: 26170652308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:44 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-10)\/6)*3. Suppose -2*i + 2 = -u. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*47*3\/12 and -73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 + 54*c - 339. Let w be u(8). Calculate the highest common factor of w and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 4*x + 11, -30 = -5*j - 3*x. Solve 2*b - j*n = -2*b - 1, -5*b - n = 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 4*f - 35 = 0. Let z(r) = -r**3 + 7*r**2 - 10. Let g be z(f). Calculate the highest common factor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11465*q + 11449*q = 0. Solve -u + 4*w + 15 = q, 2*u = -w - 7 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 7*q**4\/12 - 22*q - 21. Let f(c) be the first derivative of t(c). Let g(b) = 2*b. Determine f(g(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5025493, -5025492, -5025491, -5025490, -5025489, -5025488?\n\"Answer: g - 5025494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*d + 621*d + 688 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**3 + 5*y**2 + 5*y - 5. Let o be w(-9). Suppose -o = -4*g + 562. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407 - 217 - 13*k - 2557 - 538.\nAnswer: -13*k - 2905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 7*r**3\/3 - r**2\/2 + 6*r - 10. Let v(t) = t**2 + 1. Calculate -q(u) + 5*v(u).\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 1.6\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12348*f**2 - 5*f**3 + 4054*f**2 + 7*f**3.\nAnswer: 2*f**3 + 16402*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9415775 is divided by 9717.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 at most 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223872\/11130 + 7\/(-5) - 21.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13959, -27921, -41889, -55863, -69843, -83829, -97821?\nAnswer: -111819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/388354 and 133\/12.\nAnswer: 2330124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46397941, 46397937, 46397921, 46397887, 46397829, 46397741, 46397617, 46397451?\nAnswer: 46397237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*b + 24 = 1648*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:13 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 539.\nAnswer: 4, 38, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiuu when four letters picked without replacement from jijiuiiu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 18. Let s = -1341 + 1356. Let j be 351\/s + w\/10. Solve 4*z - j = -4*a, 4*a = -z + 4 + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -553.99999734 + 554. Round o to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -48*r**3 - r**2 - 7*r - 7. Calculate c(-2).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/37827?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + -92 + 212 + -55.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 181253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 2. Let p be 2\/n*14\/(-2). What is the derivative of p*f + 3 - f + 0*f wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11181, 406 in ascending order.\nAnswer: -11181, 3, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4745596188 + -0.3\nAnswer: 4745596187.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (67 - 70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and -5\/32218.\nAnswer: 257744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 43. Put 22, -23, k in increasing order.\nAnswer: -23, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(2*x + 2 - 2) + (4 - 2*x - 4)*(0 - 5 + 1).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731869184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 195, 222, 249, 276, 303, 330?\n\"Answer: 27*y + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 0)\/2 + 3. Let p = w + 2. Solve -3*l - 20 = p*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*x - 428, -11*x = 3*g - 14*x - 1272. What is the highest common factor of 34 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 0.0359096?\nAnswer: 7.0359096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k + 12. Let r be ((-4)\/k)\/(2\/6). Let d be 2*(-2)\/(4\/r). Solve -2*u - 8 = -d*t + 6*t, 3*u = 3*t + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 582.8229 to the nearest integer.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - 4*l**4 + 6*l**4 + (-2*l + 2*l - l**3)*(-3*l + l + 0*l) + 5*l**4 - 15*l**4 - 10*l**4)*(-5*l - 4 + 4).\nAnswer: 95*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1617 - 5291 = 334*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3) - 26\/39. Sort 24, -1, 3, q in increasing order.\nAnswer: -1, 3, q, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - 4*n**2 - 4*n - 43. Let r be (-36)\/(-45)*15\/(-2). Give v(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 39 - 11 = 0. Suppose -243 = -5*z - 3*r, 2*r = -1 - s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1027\/5 + -206. Let r be 92\/(-14) + 20\/30. Let f = r + 19\/3. Which is the third smallest value? (a) f (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -41. Solve -o + 0 - g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -6\/14245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 65. Suppose -5*r + 112 = 72. Let s be 0 - -2*(-2)\/r. What is the nearest to -1 in s, u, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 + 147*j + 890. Determine z(-13).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5115756, 10231510, 15347264, 20463018?\nAnswer: 25578772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 8. What is the units digit of (-15)\/1*a\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -38. Let g = -1.1 + 0.1. Which is the closest to g? (a) -2 (b) q (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14004900 by -184275.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 8*b**3 + b**3 - 3*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/11, 0.2, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287135*p**2 - 70*p + 235?\nAnswer: -574270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1624*i - 8075*i + 333*i)*(0*i**2 - i**2 + 0*i**2) as f*i + b + h*i**2 + g*i**3 and give g.\nAnswer: 9366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 1, f: 1, m: 1, a: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.530946 centuries?\nAnswer: 4237.1352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) + (20\/14)\/5. Solve 2*x - 3*p - 11 = i, 3*x + 0 = p - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2 + 0 - 2. Let s = k + 6. Solve 2*o - s = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.385 * -26.\nAnswer: -1102.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -132507?\nAnswer: -132500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*c + 78 = 0, 0 = 2*q + 5*c - 257 + 197. Solve -15*l + 22*l = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2 - 3*s - 2. Let f(u) = 6*u**2 + 2*u + 2. Let j(w) = -w**3 + 6*w**2 - 3*w - 6. Let q be j(5). Calculate q*z(r) + 5*f(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcckk. Give prob of picking 1 c and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -38?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let q = t + 1.94. Let n = q - 0.16. What is n rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224291711*g**6 - 106821*g**2 + 116*g - 3?\nAnswer: -26915005320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4975 divided by 5\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 28 = 2*x, 0 = 2*x - 2*j - 30 - 2. Let s(p) = -p + 48. Let t be s(x). What is the greatest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -869.2856558 + 853.28566. Let l = 15.991 - -0.009. Let p = l + y. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + 3204?\nAnswer: 31ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 53*l + 37*l - 24 + 26*l. Let s be t(-18). What is the highest common divisor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(12\/(-4))\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 992733.3m in centimeters?\nAnswer: 99273330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -0.1, -0.7, -2, 4\/1115, -1\/4?\nAnswer: 4\/1115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 13*a**2 + 12*a - 25. Suppose 17*g + 650 - 20 = -28*g. Calculate c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.90534697 rounded to 2 dps?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + p - 2 + 0 + 0*p - 5*p + 2*p + (-2*p + 2*p - 2*p)*(-2 - 1 + 4) + p + 2 - 2.\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 + 2. Let p(o) = -8*o**3 - 176*o**2 + 26*o + 570. Let x be p(-22). Which is the third biggest value? (a) 1 (b) -3 (c) x (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157883621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -105, 31, 189?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216432*i*j + 248249*i with respect to j.\nAnswer: -216432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 greater than or equal to 4685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16701 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 4, q: 4}. Give prob of sequence qr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, 14, 758, 1800?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Suppose -3*r - 4 = -2*r. Let b be y(r). Calculate the remainder when 4 is divided by b - 0*(-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3510 = -212*g - 6454 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -97. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462378 is divided by 812.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23212 (base 6) to base 3.\nAnswer: 11112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = -4*g + 619. Suppose 3*c - a - g = 0, 0 = a - 1 + 4. Suppose 4*y - c = 21. Calculate the remainder when 36 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 + 20*v + 2. Let o be l(10). Is o at most as big as 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1638812292 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21072 divided by 3.\nAnswer: 7024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x + 4. Let w = 40 - 37. Calculate c(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -43*n**3\/6 + 7*n**2 - 24*n. Let t(p) = 44*p - 12. Let z(c) = 5*l(c) + 6*t(c). Let b(v) = v**2. Calculate z(b(k)).\nAnswer: 49*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mee when three letters picked without replacement from zzeezzlqmkzlzelqze?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.35 - 191972274725.\nAnswer: -191972274715.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from ggs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 0*r**2 + 17\/6*r**3 + r. Let j(u) = -u**2. Determine j(z(o)).\nAnswer: -289*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 39. What is the highest common factor of f and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*2 + -5 + 5.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g + 4 - 4.\nAnswer: 58*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4569*d**2 - 4558*d**2 - 13 + 13 + 9131*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 12, v: 1}. What is prob of sequence vdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4661995 and 1105?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/120)\/(10\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 91*g**4 + 12*g**3 + 102*g. Let r(b) = -b**4 + 2*b**3 - b. Let k(d) = 6*r(d) - y(d). Find the second derivative of k(c) wrt c.\nAnswer: -1164*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*y - 49*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let d = -0.9 - 0.1. Let p = -16.3 + 16. Which is the closest to d? (a) l (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*r**2 - r + 0 = 0. What is r?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.39 - -1.61. Which is the third smallest value? (a) -1 (b) r (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283901044 to the nearest integer?\nAnswer: 16849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 38625 - 1632. Suppose -2*x + b + 2 = 3*o, 0 = 3*x - 5*o - 1713. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*v + 2*i, -2*i + 25 = -5*v - 18. Let c(t) = -3*t - 20. Let a be c(v). Suppose 4*x - a*x + 12 = 0. Solve -3*d - 3*s = -15, -d + s - 1 = -x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 18670593*h + 11202354.\nAnswer: (h - 3734118)*(5*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -137957*x - 16. Let f be m(-2). Let d = 754898 - f. Round d to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -400*j**3 - 5*j**2 + 3*j + 8. What is y(-1)?\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c**2 - 23*c**2 - 225 + 453 - 228 - 52*c**2 + 122*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - l)*(3*l**2 - 6*l**2 + 2*l**2) + (-l**3 + 1 - 1)*(463 + 809 + 234).\nAnswer: -1508*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3288 at least as big as -3288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3761 + -3759. Sort z, -332\/9, 2\/9 in decreasing order.\nAnswer: z, 2\/9, -332\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5743 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/12)\/(182\/(-39)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = -f - 26, -m - 2*f = -13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kke when three letters picked without replacement from ekkffkekeffffkfe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 315*w. Let p(m) = -287*m**2. Calculate o(p(x)).\nAnswer: -164738*x**4 + 90405*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3418422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, g: 2, n: 1, i: 3, b: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 89 - 4*d + d - 4*d**2 + d**3 - 94. Let w be b(5). Suppose w = -o + 5*o - 116. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/116 + -1103\/116. Find the common denominator of w and 113\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 408 = 101*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 74, 72, 70, 68, 66?\n\"Answer: -2*u + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12b7 (base 12) to base 8\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) + 0 + -3))**2 - (sqrt(128) + (sqrt(128)*2)**2 + 3 - ((0 + sqrt(128))**2 + sqrt(128))*1).\nAnswer: -1200*sqrt(2) + 3038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 34970256?\nAnswer: 34970256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 120201002212?\nAnswer: 120201002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h - 39*h + 638 = -57*h. Let c be 1 + (1 - 0\/(-1)). What is the greatest common factor of h and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3265342651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -1\/3 (c) 4\/3 (d) 0.5 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/((-1)\/(-8)). Let u(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/8 - v**3\/6 - v**2. What is u(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 26\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 64, 27, -30, -113, -228, -381, -578?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.67*-204275\nAnswer: 136864.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)*-1 + sqrt(105))\/sqrt(3))\/sqrt(5) + -2 + sqrt(112) + -1)**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 410915 or 797?\nAnswer: 410915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 19 = 18. Suppose -2*g = j + 1. Let h = 31 + g. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-9) + -2 - (-4)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562896683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963563, 963407, 963253, 963101, 962951, 962803, 962657?\nAnswer: 962513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25220 is divided by 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6 - 104*l - 19 - 24.\nAnswer: -104*l - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.27 (b) -1 (c) 3 (d) 0.7 (e) -0.5 (f) 11 (g) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583021145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170095 = 6910*u + 667615 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p + 65 = -54*l + 57*l, -l + 2*p + 5 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/10)*q*q*q)**(-16\/7)\/(q**(8\/5)*(q*q*(q**2\/q*q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-473\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 65688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-41 - (43 + -64)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -0.0418, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 - 234. Suppose -6 = -v + 1. Suppose -v*g + i = -53. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 218a06 - 2?\nAnswer: 218a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 18*f - 20. Solve x = f*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 z when four letters picked without replacement from {r: 2, z: 1, p: 3, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*u + 1604 = -1966 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 552545 < 552384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2811 (b) -1 (c) 0.98 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 299538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -31 + (2 - 3\/3). Let a be (-2)\/(-6) + 7\/r. What is the nearest to -0.1 in a, -2\/19, 0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 14*v - 1 = 0. Suppose 0 = m + v - 13. Let c be 1 - (1*-1)\/1. Solve a + c*a = m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 214 = -43 - 67 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 8*q + 26 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 31*k**8\/56 + 5*k**4\/12 - 2*k**3\/3 + 15*k - 2. What is the third derivative of b(p) wrt p?\nAnswer: 3720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2650*r*y**3*z + 396*r*y**3 + r*y**2*z + r*z + 3*r - 1206*y**2*z - 8 wrt y?\nAnswer: -15900*r*z + 2376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*u = 206*u - 4*b, -b - 3 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595 + 2595 - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/6 - 125*b**4\/6 - 1281*b**3\/2 + 1323*b**2\/2 = 0. What is b?\nAnswer: -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5927 - 5981 + 11908 - 8*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 3}. Give prob of sequence aaww.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 - 17*r**2 + 42*r**2 + 4*r - 16*r**2 + 7. Let m be i(6). Suppose 3*f = 4*n + 54, 4*n + 5*f - 6 = -44. Sort m, 0, n in descending order.\nAnswer: 0, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*p + 143*p + 21809 - 21808.\nAnswer: -5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 b when four letters picked without replacement from bbjbjbbjbpbbbbbjjjb.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + sqrt(480)*1)\/(sqrt(100)\/sqrt(90)) + (4*-1*sqrt(30))\/(-2*2*sqrt(10)))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acpp when four letters picked without replacement from {c: 3, a: 4, p: 3, l: 2, x: 2, w: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64802 is divided by 473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-6))\/((-4)\/8))\/((-6)\/(-126))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**3 - 6*j + 6. Suppose 0 = -3*a + a. Suppose a*b = b - 1. Let x be (4 + -3)\/(b\/6). Let v(g) = -g**3 - g + 1. Calculate x*v(i) - q(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.33 * -905.42\nAnswer: -3920.4686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, -11, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + (-6*(sqrt(204) + (sqrt(204) - sqrt(204)*2) + sqrt(204)))\/sqrt(12) - 5*(-2 + sqrt(17) + 3)*-5).\nAnswer: 29 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.3 - -2.3. Let d = p + 4. Let v = 2 - 1.5. What is the smallest value in v, d, -2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 12.7?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2184 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 269\/3. Let h be (-150)\/(-360) + (-2)\/(-8). Factor -5\/3*n - u*n**2 - h - 1\/3*n**3.\nAnswer: -(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1\/205, 72759?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2482*f**2 + 38334*f wrt f?\nAnswer: -4964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6959.\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.02, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 5)*(s - s + s) + 4 - 3*s - 4)*(-s + 0*s - s) to r + o*s**2 + k*s and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h**2 + 10*h**2 - 4*h**2 + 0*h**2 to l*h + x + r*h**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llyy when four letters picked without replacement from lyllllllyyyllyllll?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, 1 in descending order.\nAnswer: 7, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 5. Let x be (-10)\/c - 56\/(-12). Solve x*u = 2*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 453*4\/(12\/15). Suppose 4*g + 701 = o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 761923.2l?\nAnswer: 761923200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnissinn. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21972 - 13643. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 36938826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + (-2 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*r = -1084 + 1068 - 6944 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - (-2983)\/(-14). Let m = -213 - p. Let r = 117.02 + -115.02. Which is the second smallest value? (a) m (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1770081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 1\/6*x**4 + 1\/60*x**5 + 0*x - 4*x**2 + 0 - 7\/6*x**3. Calculate f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588877.245 rounded to the nearest 100?\nAnswer: 588900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 + 8*d**3 - 17*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*x + 6 = 14 - 8. Solve 2*j + 5*i + 8 = x, 5*i + 287 = -4*j + 271 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.0543?\nAnswer: -0.0543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5187*n - 15. Let a(m) = 23*m**2. What is c(a(i))?\nAnswer: -119301*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1484, -5877, -13200, -23453, -36636, -52749?\nAnswer: -71792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2495.\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301952143 divided by -2.\nAnswer: -301952143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - b**2 + 3*b**2 + (-3 + 2*b + 3)*(-4*b + b + 4*b) - 4*b**2 - 2*b**2 + 3*b**2 + 49 + 2*b**2 - 49 + 2*b.\nAnswer: 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 3)*(t**2 - 3*t + 3*t) + (2*t - 1 + 1)*(2*t + 2*t - 3*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2168, -4, 2, -12\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*b**5 - 40*b**2 wrt b?\nAnswer: -12060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/41 - -95\/369. What is the second smallest value in r, 5, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 21*y + 6. Let t be z(7). Solve 25 = -d + t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 740 + -334. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 9*a - 3. Let u(z) = 2*z - 4. What is the remainder when u(8) is divided by g(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k. Let y(f) = -9 + 8 + 1 + 2*f**2. Determine u(y(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324*r - 2333*r = -6988*r - 10075*r + 972078 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -930 - -1769. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/137 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -768?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -1, 1\/4, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-38)*(-12 + -6 + 26 - 7). Let u = 0.3 + -0.2. Which is the closest to u? (a) h (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*w - 3*u, -6*u = -w - 11*u - 30 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2) + -6*(sqrt(2) + 1 + sqrt(2)) + 1 - 6*(sqrt(288) + -1)) + -4 + -3)**2.\nAnswer: 1992*sqrt(2) + 220457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94855*l - 86 = 17*m + 94854*l, 0 = -5*l + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omojojjogtmtoj. What is prob of sequence go?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 minus -0.0271?\nAnswer: 2.8271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p + 22 = 0. Calculate the remainder when 41 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 3, 16, 0.2 in decreasing order.\nAnswer: 16, 3, 0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:21 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -37052317\nAnswer: 1852615.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - -2) + (-4)\/(-6)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*h - 23, -7 = 5*g - 3*h - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (26 + -3 + 8 - (-8 + (10 - 16))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 6*c**2 + 58*c + 262. Let i be w(-4). Sort 3, 316, i.\nAnswer: i, 3, 316","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 2 (c) 10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382013*s - 499963*s - 648799*s + 37510*s.\nAnswer: -1493265*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11969, -24198, -36429, -48662?\nAnswer: -60897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9243 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756.8636s in hours?\nAnswer: 1.321351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -2.51.\nAnswer: -20.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**8\/3360 + s**7\/630 + s**6\/360 - s**5\/30 + 25*s**4\/12 + 24*s. Let g(o) be the third derivative of r(o). Factor g(i).\nAnswer: -2*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74.7573 milligrams?\nAnswer: 0.0747573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 - ((-4 - -2) + 2). Factor 4332*v**z + 10 - 114*v - 7 - 114*v.\nAnswer: 3*(38*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 33 + u - 87 + 24 + 28. Suppose 5*k - 5*j = 40, 4*k + 3 = -2*j - j. Calculate t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdted. What is prob of picking 2 d and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 787279489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244\/(-305) + (-62)\/(-65)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/7, -2\/15, 23\/22, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 17 + -1*3. Let v be ((-30)\/l - -3)\/(1\/(-9)). Solve -i + 2 = 2*m, -v*i + 1 = 3*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 15)\/((-6)\/28). Let g = l - 21. Let z(r) = r + r - r - 3*r. Let t(y) = y. Determine g*t(m) + 5*z(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 - 3*l**3 + 2*l**3)*(1105 - 391 - 403) to o*l**3 + x*l**2 + i + d*l and give o.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f + 3. Let s be x(0). Let h(l) = -2*l**3 - 5*l + 4. Let c(g) = g**3 - g**2. Let u(p) = 3*c(p) + h(p). What is u(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -46. What is the least common multiple of 4 + j + -5 - 1*-23 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1483.6 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 + 5094*v**3*z**2 + 4*v**2*z**2 - 2*v*z**2 - 13*v*z - 8 wrt v?\nAnswer: -120*v**3 + 30564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 5*d + 6*d + 0*d. Let z(t) be the first derivative of -t**2 - 996. Determine z(c(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 8\/5. Let i = -0.066 + 0.566. Which is the nearest to -1? (a) u (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbouuububoupbo. What is prob of picking 2 u, 1 w, and 1 o?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52082116 to three decimal places.\nAnswer: -0.521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/540 + m**5\/54 - 13*m**2. Factor k(j).\nAnswer: 2*j**2*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:09 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 2, z: 3, q: 1}. Give prob of sequence zy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1912923*u**4 + 182246*u**2 - 10*u wrt u.\nAnswer: 45910152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3013 = 5*q - 3063, 10 = q - m for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (9 + (-5 - (18 + -7 + 69)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 + 7*u)*(-17*u**2 - 4*u**2 - u**2).\nAnswer: -154*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701627 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.1721554403 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104717839 to the nearest integer?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1247*g**2\/2 - 588. Let o(c) = -2*c**2. What is y(o(m))?\nAnswer: 2494*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Are -221161 and -221231 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796686.8 millilitres to litres.\nAnswer: 796.6868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u - 3. Let v be h(2). Let i = v + -4. Suppose 10 = 5*y - 0*j - 2*j, -i*y = -4*j - 10. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -143138667, -143138669, -143138671, -143138673?\n\"Answer: -2*v - 143138665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339692.\nAnswer: 2, 163, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 20. Let d be (-43 + 40)\/(1 + 1*-2). Put 1, l, d in decreasing order.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4268 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -419*b - 28. Let w(g) = 140*g + 10. Determine 6*q(m) + 17*w(m).\nAnswer: -134*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*v + 25*v + 55*v + 25)*(0 + 1 + 1).\nAnswer: 26*v + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 4, r: 1, a: 1}. Give prob of sequence ddd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*o - 195 = -164*o. Solve 4*i - 9 = h, -5*i + 30 = o*h - 8*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 147*w + 14. Let m(b) = 48*b + 4. Let t(s) = 2*g(s) - 7*m(s). Let y(f) = -5*f. What is t(y(p))?\nAnswer: 210*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 28. Is 2038\/s + 1 + 12\/90 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770.7682 nanometers in millimeters?\nAnswer: 0.0007707682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71255 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 27\/(-6)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6572 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0247165 rounded to 5 dps?\nAnswer: 0.02472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 2*x - 148 - x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66847 is divided by 636.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26650000 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1337 + -1328. What is the greatest common divisor of 468 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*m - 438 + 1530, 1371 = -5*n - m. Let l = 407 - 793. Let r = n - l. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(152) - sqrt(152) - 6*((sqrt(152) - (sqrt(152) - (sqrt(152) - (sqrt(152)*1 - sqrt(152) - sqrt(152))))) + sqrt(152)))\/(-2*3*sqrt(800)).\nAnswer: 7*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 0) + -9 + -21 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 15084?\nAnswer: 165924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1556419 times 4.54\nAnswer: 7066142.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/260?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-161)*7\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-30) - 5406\/(-45). Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-4))\/((-4)\/896). Calculate the highest common factor of a and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000205465984 rounded to seven dps?\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**7\/210 - 7*h**6\/20 + 119*h**5\/60 - 13*h**4\/4 - 491*h**2. Factor z(i).\nAnswer: i*(i - 39)*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 83 = -5*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)\/n)**(1\/45)\/(n\/n**(-1))**(-31) assuming n is positive.\nAnswer: n**(929\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51367506 and 852?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1335 - -1338. Which is the smallest value? (a) u (b) -1\/4 (c) -6\/31 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -571\nAnswer: 1\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5022 and 30752.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10365110 + 5?\nAnswer: -10365103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)*a)**(-14))**(-29)\/((a*a**(-3\/2))\/(a*a\/(a*(a\/(a*a\/(a*a**(1\/6))))\/a*a))*(((a**0*a)\/a)\/a)**14) assuming a is positive.\nAnswer: a**1098","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20741086 * -75.\nAnswer: 1555581450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 0 + (1 + 3 - 3)*(-2 - 5 - 6))*(3*u**2 - 1 + 3*u**2 - 7*u**2) + 3*u**2 - 4*u**2 - 5*u**2 in the form i*u**2 + p*u + q and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 2 (c) 4 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331 - -1?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 1384, 2076, 2768, 3460, 4152?\nAnswer: 4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117576, -117584, -117592, -117600?\nAnswer: -117608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 176907*g\/5 + 13981894\/5.\nAnswer: -(g - 79)*(g + 176986)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 1679573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 67 + -77.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.85171ng to milligrams.\nAnswer: 0.00003185171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from {u: 10, j: 2, f: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 2*p - 2. Let x be z(2). Suppose 306*u = 307*u - 36. Let a = x + u. What is the remainder when 49 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -15. What is the greatest common factor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 17 + 11)*(-v**2 + 2*v**2 + 5 - 3) in the form d + s*v + h*v**2 and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*k + 104 - 104 to y + h*k and give h.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 2*n - 5. What is a(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*j + 3267*j + 13580 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 + -9) + (-46)\/(-8). Suppose j + 18 = 12*z. Solve 2 = w + 5*f, 0 = z*w + 3*f + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/136 - ((-19)\/(-2) + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 54372173.\nAnswer: -0.1, 5, 54372173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 15. Determine r(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:07 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10236083.\nAnswer: 11, 13, 47, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -12, -32, -60?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 563212 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 141?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 3:18 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 794 and 1726553.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -78564.41 to the nearest ten.\nAnswer: -78560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.123 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4 - 2 = -12*u + 19*u - d, -11*d = -u - 32 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/7)*l*l**4*l*(l\/l**(3\/5))\/l*l*l\/(l*l**(-1\/4)*l))\/((l*l\/l**(-1\/4))**(-1\/10))**(2\/41) assuming l is positive.\nAnswer: l**(20347\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51554\/315 + -818\/5. Let f = -9 - -4. What is the closest to 0 in f, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.082084862+155\nAnswer: 155.082084862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from pppfpff?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 19*y - 24. Let n be l(13). Solve 0 = 5*j - 23*j + n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + 5 + (0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113671 and 144698.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17756663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-12 - -27) + (12 - (0 + 7 + 5)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47c (base 15) to base 13\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-203))\/((-11)\/7)*(11 - (-330)\/(-36))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.7 - 9. Let i = t + -0.6. Which is smaller: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.75 + 138.45. Let y = 0.8 - -2.2. Put u, 0.2, y in decreasing order.\nAnswer: y, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260353 is divided by 32542?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r + 19. Let t(j) = -7*j - 13. Let c(g) = 5*l(g) + 7*t(g). Let a be c(-2). Suppose a*n - 3 = -1. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43513.164 milliseconds to hours.\nAnswer: 0.01208699","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(109\/2). Let v(y) = y**2 + 13*y + 39. Let u be v(-5). Are u and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*m**2 + 0 + 0)*(1 + 1 - 5) + (0*m - m + 4*m)*(-6*m + 11*m - 6*m))*(-5 + 3 + 3) + (-m - 3*m + 3*m)*(3 + 2*m - 3).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 62?\nAnswer: -9\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 10*m**2 - 2*m. Let z(p) = -2*p**3 + 10*p**2 - p. Let a(i) = 7*h(i) - 6*z(i). Suppose a(l) = 0. What is l?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 23, -1\/3, 0.2, -1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -19. What is the biggest value in -3, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y**2 + 1 + 0*y.\nAnswer: -(y - 2)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-1 + 2))\/1. Suppose x*g + g = -2*n + 3, -9 = -3*g - 4*n. Let r(z) = -3*z - 1. Let u(j) = 2*j + 1. Let m(h) = g*r(h) + 5*u(h). Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 2, r: 4}. Give prob of sequence rz.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 612974003 to the power of 1\/2, to the nearest integer?\nAnswer: 24758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*l + 1720 + 856 = 6388 + 22108 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**3 + x**2 - 18. Let p(u) be the third derivative of -u**5\/60 - 21*u**2. Let t(k) = j(k) + p(k). What is the first derivative of t(m) wrt m?\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -36 - (-4 - (1 + -2 - -29))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 582306. Let g(r) = 20*r. Give g(i(y)).\nAnswer: -40*y - 11646120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -5 + sqrt(19) + 0 - sqrt(95)\/(sqrt(125) - sqrt(5)))**2.\nAnswer: -35*sqrt(19)\/2 + 1331\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -5*t - 20, -28 = 5*t - 4*b. What is the units digit of t\/8*1*-74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65504700278\/1255 - -52194988. Let l = m + 3\/2510. Calculate the common denominator of l and ((-92)\/(-12))\/(2\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132285*f - 128356*f + 266165*f)*(3*f**2 - 3*f**2 - 2*f**2)*(f + 0*f + f).\nAnswer: -22096*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 109*m**2 + 15*m - 2. Let y be q(-3). Let f = y - 934. Solve f = 2*r - 3*n + 10, -2*n - n + 8 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 1. Let b(f) be the third derivative of 1\/2*f**3 + 1\/4*f**4 + 18*f**2 + 0*f + 0. Determine -b(a) - 4*p(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 338 and -283338.\nAnswer: -283000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001000111011 (base 2) to base 3.\nAnswer: 10202220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 15. Let k be w(-11). Suppose -3*c + 126 = -3*g, -c - 12 + 69 = -k*g. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03841 - -0.031452. What is r rounded to four dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/11)*i**(-11)*i**(5\/6)*i\/i**(-2\/25) assuming i is positive.\nAnswer: i**(-15593\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 20*r - 4. Let q be 1 + 12 - (-2 + -4). Let k be h(q). Let l(o) = -2*o + 35. What is l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 1 - -2) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 76 = 80. Let t be (8\/a + 1)\/(25\/15). Does 1\/31 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-196)\/539*(-1)\/(-2). Which is the closest to -1? (a) g (b) -1\/3 (c) -0.13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -52. What is the smallest common multiple of n and 3*4\/6*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1273, 1255, 1231, 1195, 1141, 1063?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:52 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6\/13)*v)\/v*v**(-2\/9))\/((v\/v**(-2\/7))\/((v\/v**(-1\/20))\/v*v)) assuming v is positive.\nAnswer: v**(-15061\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 - 1\/5. Let o = -4 - -3.6. What is the closest to w in o, -5, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1691205)\/(-3) - 1)*((-240)\/32 - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**2 + 68 - 6*k**2 + 3*k**2 - 10*k**2 - 6*k**2.\nAnswer: -k**2 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - m**2 + 1. Let w = -17 - -56. Suppose -2*r - 5*y = -w, 3*y = 2*r + 2*y - 9. What is the least common multiple of r and d(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5*(-12)\/(-16). Let z be 2\/(-11) + 3 - 3. Which is the third smallest value? (a) z (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 203066*j**2 - 203060*j**2 - 32.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 3442876\nAnswer: 688575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:31 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m**4\/9 - 3308*m**3\/9 - 296*m**2\/3 + 13232*m\/9 + 3776\/9 = 0.\nAnswer: -236, -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27899 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*n + 31010, 4*f - 9*n - 24783 = -8*n. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*w**2 + 222*f**3 - 26*f**2*w**2 + 11*f**2*w wrt w.\nAnswer: 2*f**3*w - 52*f**2*w + 11*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/2 + 210*o**2 - 15111*o\/2 + 14283 = 0.\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:11 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -10*f - 0. Factor -f*h**3 + 87*h**3 + 155*h**2 - 22*h - 5*h**4 + 102*h - 15*h**3.\nAnswer: -5*h*(h - 16)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159071 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.42 and -64531.\nAnswer: -64529.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 2*f - 5. Let z be c(4). Suppose z*q - 104 = -q. What is the lowest common multiple of q and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521801.\nAnswer: 7, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 1, 2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylyy when four letters picked without replacement from yyyllyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 19*y - 48. Determine q(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0 + ((-666)\/6)\/(-3). Let n = 51 - s. Calculate the least common multiple of n and (-68)\/(-5) - 4\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452555261?\nAnswer: 13, 41, 4601417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12611934 by -3.\nAnswer: 4203978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -582992, -582995, -582998, -583001, -583004, -583007?\n\"Answer: -3*u - 582989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:36 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*c - 43 = n + 188*c, 0 = 4*n - 2*c + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 203195\nAnswer: -406390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(396)*1 + 5*(2 + sqrt(396))**2) + -5 + 2.\nAnswer: 684*sqrt(11) + 11997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 991 + 4963*z**2 - 4963*z**2 + 864*z**3 wrt z?\nAnswer: 2592*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*d - 1680, 1115*m - 825 = -d + 1110*m. What is the remainder when d is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4761 and 253.\nAnswer: 52371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 3*k - 45*k - 326 + 126 = 0, -k + 0 - 2 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(26)\/(sqrt(350)\/sqrt(7)) + (-3*sqrt(65)*-6 + sqrt(65))\/sqrt(5).\nAnswer: -5 + 96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 24, 21, 3.\nAnswer: 3, 10, 21, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7 + 1. Let k(f) = f - 3. Let s be k(0). Sort s, -4, d in decreasing order.\nAnswer: d, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491 + 2*q**2 - 244 - 9*q - 243 to n*q + x + d*q**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.18 less than -1796?\nAnswer: -1987.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**9\/1008 + h**8\/2240 + h**7\/168 - h**6\/240 + h**4\/12 + h**2. Let n(z) be the second derivative of o(z). Factor n(q).\nAnswer: -3*q*(q - 1)*(q + 1)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/26 (b) -2 (c) -1 (d) 1384\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 2, g: 12, e: 1, i: 1}. Give prob of picking 1 i, 1 c, and 1 g.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = 3*c, 2*c - 16 = -0*c + 2*a. Suppose -c*j + 327 = -677. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from uuddddduddduuddddd?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3*j**4\/2 + 25*j - 114. Let r(k) = -k + 417. Give r(h(t)).\nAnswer: -18*t**2 + 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -154*x - 2177 + 7935 + 8256. Calculate the highest common divisor of x and 1495.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-4))\/((-3)\/6 + 0). Suppose 56 = r + 3*j - s*j, 0 = 5*j. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20891752, -41783505, -62675258, -83567011, -104458764?\n\"Answer: -20891753*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-17 + 2)) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = i, -2*l + 8 = 4. Calculate the remainder when 89 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -59. Suppose 8 = -2*v, 0 = g*r - 3*v + v - 52. Calculate the remainder when 28 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7163 + -12499. Calculate the common denominator of -11\/18 and (-10)\/(-2) + d\/1914.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*(-8)\/(-36)*48\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -53. Let y = h - 13. Solve 0 + 0*z**y - z**3 + 0*z**2 + 1\/2*z**5 + 1\/2*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/140 and 83\/27327636.\nAnswer: 136638180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/99)\/(2\/(-3)). Let k = -1277678\/99 - -12906. Let z = k + h. Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 71584 = 4*y, -r - 8*y = -7*y - 17890. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5) - (243\/(-45) - -5). Which is smaller: 39\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 31*l + 899 = 8*l. Solve -z + 3*t - 25 = -l, -2 = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 + 463\/3. Let g = 1 - 1. Put g, u, -3 in ascending order.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*l + 8 - 1.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 2.3. Let m = 2 + -4. Let c = v + m. What is the nearest to -1 in 0.2, c, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l + 12. Suppose 0 = 5*n - p - 61, -12*n = -8*n - p - 49. Let g(y) = y + 1. Give n*g(b) - s(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -4\/7 (b) 0 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103*((-4)\/(-6) + 11\/33)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(98) + 0)**2 + -1).\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d + 128. Let f = 115 + d. Calculate the remainder when f is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a - 1. Let f(m) = -15*m - 2. Give -4*f(u) + 5*v(u).\nAnswer: -5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/30956 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2055, 4107, 6159, 8211, 10263, 12315?\nAnswer: 14367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-1)\/(-2))*-6. Solve -5*a - u*d + 28 = 0, a = -5*d - 1 + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - (-41 + 14)) + 14 - 51.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6) + 1)*72\/(-144). Let d = 4 - 7. Sort d, -5, j.\nAnswer: -5, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let a(c) = c**2 + 5*c + 6. Let b be a(-5). Suppose 0 = -5*q + b*q - 2. Let j(k) = -q*k - 3*k + k. Determine w(j(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1166, -1164, -1162?\n\"Answer: 2*y - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66083 + 0)\/(-2 - -16). Suppose 0 = 3*u + 2*d + 14150, -3*u = 3*d + 8743 + 5411. Let z = u - h. Calculate the common denominator of z and -127\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/372 (b) -54 (c) -2 (d) -0.5 (e) -4\/7 (f) -4 (g) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2709*n**3 - 133*n + 133*n.\nAnswer: -2709*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 854105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01269 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388814 by 1.\nAnswer: 388814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, 4, 9\/4, 1.\nAnswer: -2, -2\/3, 1, 9\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*y - 88, -306 = -5*z - 3*y - 34. What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*-3 - (-10 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79558830?\nAnswer: 2, 3, 5, 13, 53, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 2*n + 5. Let u be c(5). Let f be 10\/u - 2\/9. Let a = f - -3. Sort a, -1, 5 in increasing order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 10) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(5\/((-5)\/1))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81 + -55 + 46 - -28\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = k - 50. Suppose k = b + 4*b. Let t = b - 59. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337\/744 + -1\/186. Find the common denominator of z and 23\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82651 or 0?\nAnswer: -82651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -148*x**5\/5 - 3*x**2\/2 - 5*x - 135. Find the second derivative of d(z) wrt z.\nAnswer: -1776*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let x(g) be the second derivative of -g**6\/144 + 5*g**4\/12 - 4*g. Let u(p) be the third derivative of x(p). What is z(u(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(3*(-3)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 0*p - p - p + 0 + 0 + (-2*p + 0 + 0)*(3 - 5 + 0) - 7*p + 9*p + 3*p - 2 in the form u + m*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/12*242\/9075?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15087911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43438309?\nAnswer: 277, 156817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 91. Let g be p(-61). Sort -1, g, -2 in decreasing order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335 - 3 - 129 - 2 - 3 + 2 + (5 + 1 - 4)*(3 - 2 - 2) + 1 - 2 + 0)*(-w**2 + 0*w**2 + 0*w**2).\nAnswer: -197*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = -202672 + 202972 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1 + 7*v + 0*v - 2 - 2*v. Let q be w(1). Let k be (4\/(-6))\/((-4)\/30). Sort k, q, 0.\nAnswer: 0, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90754 in -5, 0.14, -4.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, w: 1, q: 2, r: 1, z: 3}. Give prob of picking 1 w and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 - 6*b**3 + 48*b**2 + 96*b = 0. Calculate b.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.8 plus -0.361?\nAnswer: -324.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.5 + 15.1. Let a = l - -17. Let o = -0.6 + a. What is the smallest value in -2, o, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(-1*(-5)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.927904 millilitres to litres.\nAnswer: 0.005927904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3555, 13984, 31313, 55542, 86671, 124700, 169629?\nAnswer: 221458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, k: 3}. Give prob of picking 1 f and 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 107 - 110. Suppose c = -4*n + 4 - 16, 0 = -5*c + 3*n - 14. Let y be (-9)\/21*c\/(-6). What is the smallest value in -4, g, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-3)\/10 + (-2)\/((-80)\/(-8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**5 + 22*w**4\/3 + 4*w**3\/3 - 10*w**2\/3 - 4*w\/3 = 0.\nAnswer: -1, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -453.876 - -453. Let p = -0.056 - c. What is p rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and (-8)\/(-44)*12 + 2\/(-11).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1908, -7713, -17386, -30933, -48360, -69673, -94878, -123981?\nAnswer: -156988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Let s = 9 + -7. Suppose 0 = -2*n - f - 3, -4*f + 24 = -s*n - 2*n. Put -4, n, v in ascending order.\nAnswer: -4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1260)\/9240 - (-14909)\/(-374).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19028 is divided by 4750.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 9721008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-23)*y)\/y**(-3\/8))\/((y*((((y**(-26)*y)\/y)\/y)\/y)\/y)\/(y**(2\/17)*y)))**(-9\/8) assuming y is positive.\nAnswer: y**(-9171\/1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17.7 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -24732\/221 and -113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. Put p, 1, 5 in increasing order.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5172*z**2 - 15849*z**2 + 4548*z**2.\nAnswer: -6129*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4207998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + -6.5. Let z = -119 + 592\/5. Which is the biggest value? (a) 0.033 (b) 3 (c) r (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a. Let g(h) = 820*h**2 - h - 97. Calculate k(g(o)).\nAnswer: -15580*o**2 + 19*o + 1843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + 27 - l**3 - 30 + 25*l + (-4 + 4 - 2*l)*(-3*l + 3*l - 2*l**2) + 2*l**3 + 2*l**3 - 2*l**3.\nAnswer: 5*l**3 + 25*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -33. Suppose 4*g - 2 = 2. Suppose 4*j = 5*b - g, b + 3*b = 20. Solve 5*f = -2*d - l, -2*d + d = 5*f + j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (160\/(-24) + 7)\/(3\/(-1971)). Let f = -86 - 132. Is f not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012986101 rounded to six dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x + 7. Let t(r) = -2*r. Determine n(c) + 6*t(c).\nAnswer: 4*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0, 2, -3 in descending order.\nAnswer: 2, 0, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + -105?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((180\/50)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28881, 28880, 28879, 28878, 28877, 28876?\nAnswer: 28875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h - h**3 + (5 - 5 - 3)*(2*h**3 + 2*h**3 - 2*h**3) + 0*h**3 - 3*h**3 + 2*h**3 + (5*h**2 - 2*h**2 - h**2)*(3*h + 0*h - 4*h) + h**3 + 0*h**2 + 0*h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 172 = -0*z. Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154799*h - 486*h**2 - 154799*h in the form v*h**2 + i + o*h and give v.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 11*s**2 + 12*s - 13. What is l(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {n: 3, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 87. Let m be x(0). Let j = 34 + m. Let o = j + 109. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.0000033 - -49. Round k to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 387 = 8*a - 125*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - (0 - -2)) - 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 17 = -f - 231, 3*u - 125 = 5*f. Calculate the least common multiple of u and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93127 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*r - 7*r. Is r >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -798, -783, -752, -699, -618?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 45. Let u(y) = -y**3 - 5*y**2 + 4*y + 3. Let w be u(2). Let k be a(w). Sort 0.1, 1, -3, k in increasing order.\nAnswer: k, -3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + 233 - 77 - 79 - 1195*z to the form m*z + c and give m.\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiitiiiiti. What is prob of sequence tiii?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104937903.\nAnswer: 3, 7, 151, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -9 - 14 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0988174 + -143.35.\nAnswer: -143.4488174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 98 = -4*k. Suppose a - 105 = -4*j, -j - 14 + k = 2*a. Suppose -z = -0*z - j. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 458*v - 167. Let z(q) = -229*q + 82. Let x(g) = 3*m(g) + 7*z(g). Does 10 divide x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -186. Suppose 0*h = h - 9. Let q = h + -8. Put p, q, -3 in descending order.\nAnswer: q, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/1 - 7)\/((-3)\/5). Suppose -3*m - m = 4. Let b be (3 + 2)*(m - 0). Put b, g, 4 in descending order.\nAnswer: g, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377.0001156 + -377. Round s to 6 decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63495 and 540.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 32 (c) 13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 3:18 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryl when three letters picked without replacement from hlshlhrhyshrlshl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76.396 + -69.39. Let j = w - 7. Round j to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12290, -15507, -18724?\nAnswer: -21941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 889407810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1300)*1)**2 + 1.\nAnswer: 20801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 6 = 0. Find j, given that -j**3 - j + 4*j**b - 2*j - 6*j**3 - 6*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - (-5 - 9). Suppose -3*n = n - 20. Let p = -1 + n. Solve p*f - q + 4*q = 5, f + o = 4*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901102489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/3, 1358, -0.6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/8*32\/(-5). Let u be (3\/y + (-12)\/(-48))\/1. Which is the biggest value? (a) -5 (b) u (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 - 4196*r**3 - 78*r**2 - 14 wrt r?\nAnswer: 24*r - 25176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21488 + -0.1747. Let z = -0.14 + 0.1. Let y = z + g. Round y to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 1. Calculate u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 1930\nAnswer: 405.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.978662.\nAnswer: -0.978662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 526457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 8, h: 8}. Give prob of picking 1 h and 1 s.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36865, 72784, 108703, 144622, 180541, 216460?\n\"Answer: 35919*f + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*(1 - 1). Let u be (-4)\/(32\/(-3)) + x. Let f = 1.2 + -0.2. Is f != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520234 and 44.\nAnswer: 1040468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:13 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 81441*p\/7 + 407130\/7.\nAnswer: 3*(p + 5)*(p + 27142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85172 and 1284.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 35 = -5*d, d + d - n - 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)*k)**(-3)\/(k*k*k**(-8\/5)*(k*(k**3*k)\/k*k)\/k) assuming k is positive.\nAnswer: k**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 0) + (-1 + 2)\/(-1). Which is the third smallest value? (a) g (b) 1\/3 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5851 = -11*c + 10187. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 156\/(-10) + (-14)\/35. Let t be (16\/k)\/(9\/4). What is the biggest value in t, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, t: 4, a: 5}. What is prob of sequence aa?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1451.042l?\nAnswer: 1451042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 13 = 27. Let s be (-225)\/g*20\/6. What is the highest common factor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -28, -40, -52, -64, -76?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(891))**2 + 5 + -1.\nAnswer: 54*sqrt(11) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + p + 7 + 2.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose u*y + w = -1, -4*w - 4 = 8. What is the units digit of 7*(2\/y + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002138 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 - -201) + (-17 - (-41 + 23)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*r - 2815, -2553 = -4*r + l - 301. Let d = r - 223. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 13*i + 15. Suppose -4*m + 40 = -3*c, 8 = 3*m + 4*c - 22. Is s(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097552627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -58. Let q(m) = m**3 - 3*m**2 - 8*m + 6. Let j be q(b). Suppose -2*z = 2*z - 132. What is the highest common divisor of z and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svpp. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 41. Let a(b) = -8*b. Give v(a(i)).\nAnswer: 16*i - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1498b7 (base 14) to base 9.\nAnswer: -1313711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k - 8. Suppose z - 4 = 16. Solve 0 = k*f + f - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Let w(f) = 5*f - 1. Let i(l) = t(l) + w(l). Let x(q) be the third derivative of -q**5\/30 - q**2. Calculate x(i(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*p - 22, 5*t + 5*p = 33 + 2. Let i be 3 + -1 - -1 - -2. Let u be 1*-2 + -1 + i. Solve -3*x + x = -u*o, 0 = t*x - 5*o - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(325))*2)**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 416616\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 729173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n**2 + 20. Let v(w) = -7*w**2 + 45*w + 5. Let k(u) = 3*u**2 - 18*u - 2. Let m(y) = 5*k(y) + 2*v(y). Determine j(m(q)).\nAnswer: -12*q**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -336.8294 from -4.\nAnswer: 332.8294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-291)\/(-24) - (-12)\/(-96). Suppose 8*l = 13*l + 135. Let w = l + 32. Solve -q - 5*x = i, -w*x = -0*x + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**40\/((v*v**1)\/(v\/((v*v**(-1\/6)*v)\/v*v)))*(v**(-1\/7)*v)\/(v*v**(2\/3))*v**3*v**(-1\/5) assuming v is positive.\nAnswer: v**(-59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/17))\/(b\/(b**(-4\/5)\/b)))**(-6)\/(((b**(-4)*b)\/b**(2\/15))\/((b*b*b**5)\/(b\/(b*b**(-4))))) assuming b is positive.\nAnswer: b**(4138\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 16 + 1)*(2 + 2*a**3 - 2)*(-3*a + 0*a + 4*a).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 840 = 168. What is the greatest common divisor of l and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -318 + -20a?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144800 divided by 436?\nAnswer: -11800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 7922*i - 749616.\nAnswer: -2*(i + 97)*(i + 3864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*j - 7 + 24*j**4 + 25*j - 167*j**4 wrt j.\nAnswer: -1716*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c - 13*c**2 + 6 - 2 - 14 + 0*c**3. Let u(q) = q**3 + 9*q**2 + 5*q + 7. Calculate -5*f(y) - 7*u(y).\nAnswer: -2*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*c = 2, 6*c = 4*a + 3*c - 18. Is (9\/a)\/(39\/33332) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*x + 52 = -36, 2*p - x - 46 = 0. Solve 0 = -3*g - 3*z - p, 12 - 2 = g - 5*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**3 + x**2. Let m(o) = 10*o**3 - 12*o**3 + 2*o**2 - 21*o**3. Let j(q) = -13*g(q) + 6*m(q). What is the third derivative of j(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74699 - 74755 = -8*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/24*320\/420)\/(-92)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 460.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 363. Let s = 293.0000904 + p. Round s to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4724*a - 2239*a - 264*a**3 + 262*a**3 + 1579*a**4 wrt a.\nAnswer: 18948*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0*n)**(-4)\/(n**(-1)*n)**(-1\/25))\/((n**(1\/3)*n)\/(n**(-2\/9)\/n)*n\/n**(5\/6)*n*n*n**6*n) assuming n is positive.\nAnswer: n**(-355\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*y - 130*y - 4*y**2 in the form k*y**2 + s + v*y and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0, -4, -1\/5, -0.006, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*c. Suppose 0 = -b - 2*m - 2 - 3, 3*b = c*m - 42. Let a = -27529.3 - -27529. What is the second smallest value in -0.1, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.32 + 22.23\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54534 by -5.\nAnswer: 54534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*w = 63*w - 66. What is the hundreds digit of (-6 - 960\/(-165)) + (-14962)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/7)*d**(-3))**(-5\/2))**(-3) assuming d is positive.\nAnswer: d**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 17 = -t, -3*f + 103 = 5*t - 7*f. Let x(r) = 8*r**2 + 2*r - 3. Let s be x(4). Calculate the greatest common divisor of t and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -120.3. Let o = -5 - 16. Let g = o - q. Sort -0.1, g, -3 in increasing order.\nAnswer: -3, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**3\/3 - 11*c**2\/2 - 12*c - 62. Factor l(n).\nAnswer: (n - 12)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39026, -38732, -38240, -37550, -36662?\n\"Answer: 99*k**2 - 3*k - 39122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2\/13 (b) -0.03 (c) -0.5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139742 and 15836.\nAnswer: 10340908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395 = -22*s + 14*s - 147*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -137763101*p. Let s(v) = 3*v**2. What is s(n(j))?\nAnswer: 56936015991408603*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*k**4 - 54*k**4 + 3 + 0 - 20*k**3 + 0 - k in the form y*k + l*k**3 + f + d*k**4 + t*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 14*i**2 - 3*i. Suppose 10*r - 254 - 222 = -24*r. Give c(r).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.39. Let a = 0.35 + 3.65. What is the nearest to -2\/5 in z, 2, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228)*3 - sqrt(228))*-3)))))\/(-6*(sqrt(192) + (sqrt(192) - 3*sqrt(192)))))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*z - 3*h - 18, -3*h = -2*z - 2. Suppose 5*n - 5*j = 0, -3*j = 3*n + 7 - 31. Sort -3, z, n in increasing order.\nAnswer: z, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 16. Suppose 0 = -h - v + 17. Suppose 0 = -j + h*j - 838. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + (124\/8 - -3))*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 + 54 = 0. Let y = -10 - x. Suppose 0 = 4*p - y + 46. Is 1 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 4. Let l(b) = -4*b - 7. Let d(m) = 4*l(m) - 7*n(m). Let h(j) be the third derivative of j**5\/20 + 187*j**2. What is d(h(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/9, -1929, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.06 or 0.03?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544658078?\nAnswer: 2, 23, 11840393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152441 (base 6) in base 9?\nAnswer: 22337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 3*h**2 + h - 17. Let t(d) = -2*d**3 - 6*d**2 - 14*d - 16. Let o be t(-2). Let y be x(o). Let a(l) = 0*l + 3 + 2*l**2 - 4*l - 4. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7603 + -7603.5. Which is the third smallest value? (a) 0.001 (b) 11 (c) 1\/8 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.01. Let c = -2.91 + q. Which is bigger: c or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2936, -4908, -6880, -8852, -10824?\nAnswer: -12796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 185987721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 31. Let f be 13\/m - 7\/28. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8 - 14. Let r = y - 8. Suppose -r*a + 18 = -a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.3 + -10.3. What is the closest to k in -0.3, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -34.5. Which is the second smallest value? (a) -1.2 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4220 and 40301.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 128, 191?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 167. Let g(q) = -36*q - 2. Calculate a(g(o)).\nAnswer: 72*o - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:59 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011001100100011110110 (base 2) in base 4?\nAnswer: 323030203312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 0, 5*u - 35 = -10*v + 35. Solve 15*q - v*q = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2808*r + 8. Let b(h) = -1477007*h + 4206. Determine -4*b(f) + 2103*k(f).\nAnswer: 2804*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/4*1). Suppose -2*v + u*o - 4 = 0, 0*v + 3*o = -v + 18. Let k be (((-168)\/35)\/4)\/(2\/(-10)). Solve -v*b + 3 = k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q, -4*k - k = 2*q - 10. Let d = 26 - 15. Factor -d*y - 6*y**2 + 5 - 3 + 15*y**k.\nAnswer: (y - 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)*a*a**5)\/(a*a**(-5)*a*(a*a**(-9))\/a) assuming a is positive.\nAnswer: a**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17091960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 + 60*h**2 + 5289*h - 27820 = 0. What is h?\nAnswer: -52, 5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-2\/73))\/(g\/(g**15*g)))**13)**(-2\/65) assuming g is positive.\nAnswer: g**(-468\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*h + 13 = 0, -5*y + 3*h = 2*h - 1. Let n(l) = 27*l**2 - 32*l**2 - 1 + 7*l**2 - 13*l**3. Calculate n(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, c: 14}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1927018 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 36 = -14*l. Let z be l\/7 - (-2)\/7. Factor -1 + 2*x**2 + 5*x**2 - 3*x**3 - 3 + 4*x - z*x**2.\nAnswer: -(x - 2)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-40))\/((-6)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) + sqrt(11) + sqrt(77)\/sqrt(7))**2 + 0 - (-2*(sqrt(704) + 4))**2.\nAnswer: -2783 - 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (322 - 9*z + 2*z**2 - 322 + 2*z**2 + 2*z**2 - 7*z**2 + (-2 - z + 2)*(-3*z + 0*z + 5*z))*(-z**3 + z**3 - 2*z**3).\nAnswer: 6*z**5 + 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let g be y(-1). Suppose -4*o + 1526 = g*u, -5*o + 2 = -8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, z: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323001 (base 4) to base 7.\nAnswer: -46616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 12. Let d = j - -6. Calculate the remainder when (-212)\/(-6) + (-3)\/9 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**29\/((((d*d**(-2\/3))\/d)\/d)\/d**(1\/3))*(d*d\/((d*d\/(d**(-5)\/d))\/d)*d**(-4))\/(((d\/(d*d**4))\/d)\/(d\/(d*d**2))) assuming d is positive.\nAnswer: d**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1381 or -752399\/545?\nAnswer: -1381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46b0c (base 15) in base 2?\nAnswer: 110110111111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478\/7 + 68. Let k = 5 - 20. Let u be (-2)\/(-4) - k\/(-6). What is the closest to 0 in y, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*h - 102 = 2*h, 4*y = 5*h - 0*h + 11*h + 396 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 509696, 4090774, 13810838, 32739380, 63945892, 110499866, 175470794, 261928168?\n\"Answer: 511582*a**3 + a**2 + a - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) -1\/6 (d) -5 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6154 + 6176. Calculate the greatest common factor of 5632 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26928?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:20 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1\/(3\/12)). Let m(q) = -2*q**2 - 2*q + 2*q + a*q. Let z(j) = 6*j + j - 3*j. Calculate z(m(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*m + 6. Suppose 2*a + m = -a. Let r = 12 + a. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -29\/3?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4230 + 86730?\nAnswer: 90960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.82 take away 0.4?\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*b + 26*b**2 - 567*b + 187*b + 187*b.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + -131. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 2*f. Let y be f\/(-2) + (-51)\/(-2). Factor -r**3 + y - 26 + 2*r**2 - r.\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m**3 + 40*m**3 - 3 + 7*m**3 - 28*m**3.\nAnswer: 78*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(204) - sqrt(204)*3 - sqrt(204))*1*-2)\/(sqrt(528)\/(sqrt(11) - sqrt(44))).\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*i**2*l*m - 2*i**2*l - 7508*i**2*m - 6*i*l - l*m wrt l.\nAnswer: 51*i**2*m - 2*i**2 - 6*i - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 81*o + 772. Let h be w(-44). What is the greatest common factor of 3024 and h?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49286191*w**2 - 89933*w + 69?\nAnswer: -98572382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0 - 8*w - 1\/2*w**5 - 3*w**4 - 1\/2*w**3 + 12*w**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t)\/((t*t*t**(-3\/11))\/t) assuming t is positive.\nAnswer: t**(1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let p(b) = -b**2 + 2387*b + 8. Calculate p(i(f)).\nAnswer: -4*f**2 + 4774*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.84 - 22.84. Put 1\/3, v, 26\/17 in ascending order.\nAnswer: v, 1\/3, 26\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 12*b**2 + 5*b + 74. Let m be t(11). Let j(o) = o**3 - 7*o**2 + 5*o - 13. Let v be j(m). Which is smaller: v or 92?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:26 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*y**5 + 10226*l*y**4 + 402*l + 87*y wrt y?\nAnswer: -20*l*y**3 + 122712*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:22 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 56. Let v(q) = q**2 + 17*q + 2. Let j be v(-18). What is the highest common divisor of j and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from eeeeegeeeeegge.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:44 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpxvxxvmpxvavvmdv. Give prob of sequence xapm.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10981, 21968, 32957, 43948, 54941?\nAnswer: 65936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 143, 15, -11\/2?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13873*l**3*q**2*r**2 + 2*l**3*q**2 + l**3*q*r**2 - 75*l**3 - l*q - 2*l + q**2 - 4*r**2 wrt q.\nAnswer: -27746*l**3*r**2 + 4*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*l + 35357, 7*y - 3*y + l = 28272. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from ddummxa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*a**3 + 32\/7*a - 2\/7*a**4 - 10\/7 - 36\/7*a**2.\nAnswer: -2*(a - 5)*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4105 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 678*g**2 + 8428*g + 1453. Determine c(-351).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2420 - 2420 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 2. Let h be k(0). Suppose o - 3*b - 28 = 38, h*o = b + 117. Let -z**2 + o*z - 3*z**2 - 60*z - 2*z**2 = 0. Calculate z.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7*o - 3*o - 132, -q + 48 = -2*o. Let w(c) = 2*c - 10. Let d be w(-7). Let r = q + d. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8045995048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -240 in 3\/7, 4, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/21 + 3\/(-1386)*-219\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740231 by 17.\nAnswer: 43543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 4*h - 6. Let u be g(-6). Suppose -u*d = -d - 55. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279005.\nAnswer: 5, 41, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/((c*c\/(((c*c**4)\/c)\/c)*c*c)\/c)*c)\/c*c**(-2\/11)*(c*(c**(-2\/7)\/c)\/c*c*c)**4 assuming c is positive.\nAnswer: c**(360\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*m - 582 = 0, 0 = 2*r + 5*m + 407 + 183. What is the units digit of r\/(-38)*(0 + 130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p = 148*p - 2457 - 231 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20824125?\nAnswer: 3, 5, 7, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2407 smaller than -89007\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j**2 - 133*j + 43. Determine t(8).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 35*y**2 + 16*y - 43. Let g be b(12). Suppose z = -2*f - 149 + 176, 115 = g*z + 5*f. Calculate the greatest common divisor of z and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntetnenttne. Give prob of sequence etnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 4*o = -34*d + 44, -3*d = -2*o - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*x - r - 26, -12 = -4*x + 5*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -237, -688, -1353, -2232, -3325, -4632?\n\"Answer: -107*c**2 - 130*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 3*m**2 - 10*m**2 + 4*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.08, 13, -1\/20?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 2\/19 (c) -3\/7 (d) 4 (e) -2\/7 (f) -0.1 (g) 167063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/3 - (-323176)\/87 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 804\/(-102) + (-2)\/17. Let p(a) = -6*a - 6. Let u be p(b). What is the remainder when (4\/(-3))\/(u\/(-1071)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/3)\/((-34)\/102). Calculate the greatest common divisor of 351 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**11)\/x)\/x**(-4\/5))**(2\/141) assuming x is positive.\nAnswer: x**(118\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 111 = l. Let p = l + -10. 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 b = 41638744.5899623 + -41638737. Let s = -7.59 + b. Round s to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 95*p**2 - 193*p - 97 = 0. What is p?\nAnswer: -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 78*t - t**2 - 308*t**3 + 312*t**3 to u*t**2 + p + r*t + n*t**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7081 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4725*l + 68 = 4759*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345.6 - -68.4. Let v = -414.4 + i. What is the nearest to 1 in 2\/9, v, 0.5, 41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*z + 8 - 968. Solve -23*t = -z*t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -28.5. Let o = 366.1 + -372. Let u = o - m. Sort -24\/5, -2\/9, u in ascending order.\nAnswer: -24\/5, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53295 is divided by 289?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 46, 40, 32, 22, 10, -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-4))\/(3\/72). Suppose -r - 5 = 0, 3*r + 17 + 8 = 5*b. Suppose 28*a = 3*w + 25*a - 9, -w + 2*a + 2 = 0. Solve -s = -n, w*s = -n - b - y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -6271?\nAnswer: 6275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149092*a**3*s**2 - 63569*a**3*s - 2*a**2*s wrt s?\nAnswer: -298184*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 5*x + 7*x + (-1 - 3*x + 1)*(-1 + 5 - 2).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27554 by -1.\nAnswer: 27554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 divided by 89?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5))\/22*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.445 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274771 to the power of 1\/2, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -51, -75?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 8. Suppose -r - u + v = 0, -5*r + 13 + 9 = 3*u. Solve 4*f + 5*z = 5*f + 21, r*f + 5*z = 45 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 11 = y, -y + 3*y - 2*i + 16 = 0. Let g = y - -14. Solve -4 = n - g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 15*f - 9*f - 5*f**2 - 2 to p*f + n*f**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28 - -13)*(-1)\/3. Let g be 4\/(-1) - (-67 - 55\/m). What is the greatest common divisor of 74 and g?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.38, 2\/13 in ascending order.\nAnswer: -2\/13, 2\/13, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from {l: 5, g: 1, t: 6, s: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 26205.\nAnswer: 78615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + 208\/6. Let v = -12 - -17. Suppose -v*y + 230 = -x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*n = 434*n - 38386 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342859339?\nAnswer: 1342859339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 466, 870, 1274, 1678, 2082?\n\"Answer: 404*a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:24 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3045, -3102, -3159?\n\"Answer: -57*q - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:46 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 15*r**2 + 181*r + 7*r**4 - 14*r**2 - 183*r as n + p*r + i*r**3 + a*r**4 + c*r**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1341405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 + 195 - 3*j - 369)*(-3*j**2 + 0*j**2 + 2*j**2).\nAnswer: 3*j**3 - 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 18*p**3 - 16*p**2 - 18*p + 17 = 0. Calculate p.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 0.5 (c) -1.635 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196 + 196.2. Let p = x - -0.1. Which is the nearest to 1? (a) p (b) 5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-10))\/13*(8\/74)\/1\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 367090 divided by 73418\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 10 = 18*c + 5*m, -5*c = -3*m - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45818, 91660, 137484, 183290, 229078, 274848, 320600?\n\"Answer: -9*i**2 + 45869*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*b + o, -2*b - 5*o = -28 + 3. Suppose 4*v + 0*v = b. Sort 4, v, -2 in descending order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**3\/6 + 9*p**2 - 2*p. Let d be k(6). Suppose -2*a = w - 0*a - 4, -5*w - 3*a = -20. Solve 0*h + d = w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-6 - -12) + (-4900)\/1634. Are p and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -16*a**2 + 218*a + 21. Calculate c(15).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34340 (base 5) in base 12?\nAnswer: 151a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/12 + z**3\/2 + z**2. Let w(h) = h - 1. Let b(v) = 3*g(v) + 7*w(v). Let n be b(-3). Put -2, 3, n in descending order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 minus -24?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 40*h**3 - 80*h**2 - 60*h - 16.\nAnswer: 4*(h - 4)*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*k - 64*k - 644 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*i - 16. Let z = 33\/2 - i. Which is smaller: -0.3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from {c: 3, d: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + 4*i + 2. Let j be h(-5). Calculate the common denominator of -2 + -2 + 173\/18 and 3\/4*j\/(-21).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594040 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00273908 to five dps.\nAnswer: 0.00274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 9*y - 6. Let f(n) = n**3 + 6*n**2 + 6*n. Let o be f(-4). Let p be m(o). Solve 5*x + 4*l = 9 + 9, -14 = -5*x - p*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72056718*k**2*t**2 - 29180*k**2*t + 2024*k**2 + 3*t**2 wrt t?\nAnswer: -144113436*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/12 + 59*l**2 - 235*l\/4 - 707\/6.\nAnswer: -(l - 707)*(l - 2)*(l + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09465677869 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(-41))**(3\/13)\/(((g\/(g\/g**(-2)))\/g)**(2\/15))**5 assuming g is positive.\nAnswer: g**(108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, 153, 606, 1493, 2958, 5145, 8198?\n\"Answer: 24*n**3 + n**2 - 8*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l = 69*l - 98868. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3955368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -344, -511, -676?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71867651?\nAnswer: 673, 106787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1278)\/5 + 40\/(-100). Does 9 divide (-739)\/(-13) + 0 + q\/(-1664)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226792\/315 + 6470\/9. Is n less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -175714*u. Let x(g) = -g**2 - 906. Determine i(x(l)).\nAnswer: 175714*l**2 + 159196884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1218730 to the nearest ten thousand.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198701639 - 5*o**3 + 198701639.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1 + sqrt(1539) + sqrt(1539) + -2)*-4 + 4.\nAnswer: -108*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:28 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + sqrt(931)*-1*1 + (0 + 3*sqrt(931))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17855?\nAnswer: 5, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 428807291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) 2\/11 (c) -5 (d) -2\/5 (e) -3\/7 (f) 1\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -45\/889 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 0, -2 in decreasing order.\nAnswer: 0, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000086238 rounded to seven decimal places?\nAnswer: 0.0000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2)\/((-48)\/(-28)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 4*j, 6*y + 19*j - 22*j = 15. Sort 2, 10, y, -4, -8 in descending order.\nAnswer: 10, y, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(4\/6 + 0). Suppose 0*p + j*p = 4. What is the units digit of (1\/(-2))\/(p\/(-52))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15579*w**5 - 7893*w**2 + 4 wrt w?\nAnswer: 934740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -201536 (base 8) in base 9?\nAnswer: -111065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 213560760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -25*o + o**2 + 16*o - 24*o + 2*o**2 - 75. What is the tens digit of y(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204904*b + 217077*b - 72089*b.\nAnswer: 349892*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 + 36*k**5 - k + k**5 + k + (2 - k - 2)*(4*k**4 - k**4 - 4*k**4).\nAnswer: 38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4.9, -79\/3, 15\/2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28)\/sqrt(4)) - (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 0)) + sqrt(11)).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/6 - (-170)\/(-102))*40\/22)\/8.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 2. Let h be g(0). Let q be (13 + h)*(-11600)\/(-1). What is q rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949476 and 374616.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6. Let l = i - -22. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8644069 greater than or equal to 8644069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3 + 21*i + 14*i - 34*i - 7. Let d be r(14). Suppose 1155 = d*c + c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1388*i - 32*i**2 + 1388*i + 7*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/((-7)\/63). Suppose 2*q - 2*w - z = 7, -25 = -5*q + 2*w. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 - q**5\/10 + 7*q**4\/24 - q**3 + q**2. Suppose -157*z = -151*z - 30. Let g be n(z). Solve g*r - 2 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y - 3*s = -30*y - 16, -14 = 4*y - 2*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/69 - 9\/18. Let i = 1487\/966 + z. Find the common denominator of i and 55\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 191 - 30. Let t = -113 + k. Let m = -6 + 18. What is the greatest common factor of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -529575861*z**4 + 840849018*z**2.\nAnswer: -12709820664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + 6 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172, 261, 296, 217, -36, -523?\n\"Answer: -10*g**3 + 33*g**2 + 60*g + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74722913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.027 - -0.027116. Round r to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005308397957 to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 88267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -369, -1302, -2865, -5064, -7905, -11394?\n\"Answer: -m**3 - 309*m**2 + m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(448) + sqrt(448) + 5)**2 + -2)*-6.\nAnswer: -11124 - 1536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221368 and 14?\nAnswer: 221368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 divided by 37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582241 and 21947?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -19. Suppose -c = -5*p - 15, 10 = -6*p + 4*p. Let i be 1\/(c\/6 + 2). Solve f = -2*o - i*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51401 (base 6) to base 16\nAnswer: -1ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 8*f - 1.\nAnswer: 8*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4116, -17174, -38946, -69432, -108632, -156546?\nAnswer: -213174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -1348, -2022, -2696, -3370, -4044?\nAnswer: -4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g + 20 = 0. Let z = -4 - g. Suppose z = 2*o - 0*o. Let q(w) = w**3 + w**2 + 7. Give q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k = 24*k + 5*y - 26, -3*k = 4*y - 25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-3.24.\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 230 = 24*o. Calculate the remainder when 62 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*i = -1196*i + 16874 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6310294 rounded to 3 dps?\nAnswer: 2.631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 12*m + 10. Let c be u(-13). Let s be 6 + 6\/3 + c. Solve -s*d + 6 = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -1289, -4077, -9499, -18431, -31749, -50329, -75047?\nAnswer: -106779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -8, -3, 0, -18 in increasing order.\nAnswer: -19, -18, -8, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 39976 + 27*w**2 + 21*w**2 - w**3 - 39977 - 2*w as k*w**2 + d*w + m + r*w**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 18\/(-1 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -1, -4, -7, -10?\n\"Answer: -3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 2*h - 24. Let k = 127 - 134. Is 10 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1501899 and 35649.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*h**4 + 7*h**3 + 2*h**2 - 18*h + 1206495 wrt h.\nAnswer: -124*h**3 + 21*h**2 + 4*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*q + 27, 3*w = q - 2*q + 11. Suppose 0*d = w*d - 25. Suppose d*s - 3*s - 4*y = 72, -s - y + 33 = 0. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a104eb (base 16) in base 15?\nAnswer: -dd6a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**15)\/(y\/y**5)*(y**12)**(-6))**(33\/2) assuming y is positive.\nAnswer: y**(-1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 17. What is the remainder when 16\/(-24) - 95\/q is divided by (-262)\/(-11) - ((-6)\/(-11))\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549168 is divided by 229?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2805*q + 2800*q + 3*g = 107, 2*g = 3*q + 62. Let z(w) = -22*w + 37*w + 57*w + 28. Let u(k) = -13*k - 5. Determine q*u(i) - 5*z(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:06 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhcchh. Give prob of sequence hch.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1457 and 7151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*a + 10 + 20 = 0, f - 6 = -3*a. Suppose f*s - 897 = 84. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + r = 145, 0*r + 70 = 3*o + 4*r. Suppose 8*l = 7*l + 28. Are o and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099896.\nAnswer: 2, 3, 7, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128938 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-645 + 245*w + 892*w - 644 + 1289)*(5 - 5 + 3*w**2).\nAnswer: 3411*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1905577\/15 and -127039 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2\/(-6))\/((-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 58 = 4*b, -882*b + 6*y - 84 = -882*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -360*w**3 + w**2 + w - 1. Let k be 0\/(-2) + -3 + 2. List the prime factors of y(k).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/6 - 1673*i - 8396787\/2 = 0. What is i?\nAnswer: -5019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 (base 13) in base 5?\nAnswer: -22131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + 2*u - 1. Let n(o) = 374*o**2 - 6*o - 1112. Let i(t) = n(t) + 3*s(t). Differentiate i(c) with respect to c.\nAnswer: 790*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 + 0 = 0. Let f(z) be the second derivative of z**5\/20 + z**4\/6 + z**3\/6 + 2*z**2 + 9*z - 1. Calculate f(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(1 - 1 - 2)*(-1375 - 1415 - 1278*y**3 + 2790) as k + z*y**3 + u*y**2 + h*y and give z.\nAnswer: -5112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b - 37. Let m be p(-7). Let g be (-5 - (2 - 9))\/(4\/6). Suppose 9 = g*z - 33. Solve m - z = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.9 + -9. What is the second biggest value in 5, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)*h)\/h**2)**(-46) assuming h is positive.\nAnswer: h**(414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 7*z + 9. Let p be j(-6). Suppose 258 = -w + p*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**6\/480 - q**5\/80 - q**4\/32 + 16*q**3\/3 - 35. Let v(u) be the third derivative of a(u). Factor v(m).\nAnswer: -3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.18, -3, 3\/5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5359\/3260 + -1\/163. Let v(z) = z**3 - z**2 + 3. Let s be v(0). Calculate the common denominator of m and (67\/s)\/(1 - 3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1400\/(-16) - -5)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 12. Let d = 58 + 38. Suppose d = -0*j + 4*j - 4*m, 0 = 4*j - 3*m - 96. What is the greatest common factor of j and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3457\/3 - -1151. Sort -5, 299, k in descending order.\nAnswer: 299, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10759537631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18)*3 - 141\/(-9). Suppose -k*b + 55 = 10. Let s = 4 + -1. Solve -n + u - s*u = -13, 2*n + b*u - 22 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69381 and 26092?\nAnswer: 3052764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 6*z. Suppose s + 4 = 0, z*s + s = 5*j - 24. Suppose 0 = 4*x + j*i - 112, 0 = 5*x - 0*i + i - 132. 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 closest to -4 in -0.3, 2\/5, -14867?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose 4*b = m*b. Suppose h - 3*p = 19, b*h + 2*h - 38 = 2*p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) 2350 (c) -2207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/9549936 and -23\/9549936.\nAnswer: 9549936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.779.\nAnswer: -1.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -271 - -278. List the prime factors of 18\/2 - (a - 571).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (242 + -1)*(-17)\/1037. Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 10. Let a(u) = u**2 - 2*u. Let v be a(4). Let t be o(v). Suppose 0*h = 3*h - 30. Calculate the highest common divisor of t and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15085*r**3 + 45147*r**3 - 14901*r**3 - 15151*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77, -141, -199, -245, -273?\n\"Answer: d**3 - 3*d**2 - 62*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-153\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = 14. Does 5 divide (-30)\/u*(33 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.56, -2\/3, -1\/15, -1\/9, 2\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 11?\nAnswer: 29\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:57 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263 - -268. Let x(d) = 7*d - 6. Let h be x(4). Find the second derivative of 7*t + h*t - 20*t**2 - q*t wrt t.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 9*i + 10. Calculate n(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1652.52926 - 21.71374. Let j = q - -1675. What is j rounded to two dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 52*a + 10409. List the prime factors of v(0).\nAnswer: 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose -s + 1 = -3. Suppose -5*j - 40 = -4*m, -s*m - 4*j - j = 0. Solve 0 = k*r + p - m*p - 4, 3*r + 4*p + 14 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Suppose -3*b + 4*k + 0*k = -26, 3*k = 3*b - 21. Let f be 1*(13 + (b - 2)). Solve -x*u - 7 - f = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 159402 - 158827 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56144552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2, -122 in decreasing order.\nAnswer: 29, 2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - ((-15)\/(-6) - 1). Let b = -4 + 4.2. Let y = -3.8 - b. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 7. Let n be t(7). Let f(g) be the second derivative of 1\/40*g**5 - 1\/12*g**3 + g + n*g**2 + 0*g**4 + 0. Solve f(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - 75. Calculate the remainder when 1\/(-2) + 165\/22 is divided by -2 - ((-2)\/(-4))\/(8\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6456935*q**3 + 2006684*q?\nAnswer: 38741610*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*90\/27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12261\/11 - 1115. Suppose 2*o + 3*b = -0*o - 10, 3*b = -3*o - 9. Suppose -x + o = -0. Which is bigger: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) + sqrt(153)*-3))\/(4*3*sqrt(9)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 7161?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 682 and 10978.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*s + 2*j + 27, -3*s - 8 = j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {p: 1, x: 1, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:22 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83904 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2. Let q(p) be the first derivative of 1755*p**2 - 827. What is i(q(l))?\nAnswer: -12320100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 489, 396, 301, 204, 105, 4, -99?\n\"Answer: -f**2 - 90*f + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:43 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 2)\/((-2)\/(-14)). Let y = 14 + g. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23909 and -0.01.\nAnswer: 23908.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -26*h**2 + 29*h - 53. Calculate g(2).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 18*j**2 - 5*j - 60. Suppose 0 = 5*f + 5, -7*f + 6*f = -4*v - 71. What is the remainder when 65 is divided by w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 8*j - 6. Let x(p) be the second derivative of p**4\/12 - 5*p**3\/3 + 9*p**2\/2 - 3*p. Let m be x(10). Let o be z(m). Solve o*k = -2*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 31*c + 1 - 2 + 11*c. Let f(p) = 5*p**2 - 3*p + 3. Let i be f(1). Is k(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 32*c**2 - 2987*c + 3880. What is l(92)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + -215. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 4*x = 16, 10 = -4*s + 172*x - 174*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/33 or 121575?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, -3320, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1390 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25918125?\nAnswer: 3, 5, 23, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 9. What is i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = 4*y + 3*v, -2 = 2*v. Let h(f) be the first derivative of f**2\/2 - f + 1. Let t(l) = -12*l + 15. Determine y*t(m) + 15*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a78 - 4db?\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2 + sqrt(108))**2 - sqrt(18)\/sqrt(6)*-5.\nAnswer: 5*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3\/2*k**2 + 0*k - 5. Let o(j) = -3*j**2. Determine i(o(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaoooaavao. What is prob of sequence ao?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -504*k**5 - 112 + 1727*k**2 + 292 - 60 - 116 - 8*k**3 wrt k?\nAnswer: -30240*k**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + h - 5. Suppose 15*u - 167 + 107 = 0. Let i(t) = t**2 + 2. Let r(z) = u*c(z) + 10*i(z). What is r(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-975)\/6)\/(-5)*-2. Let q = 126 + z. What is the remainder when q is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -44. Let j = 31 + m. Is j less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3341 and 1285.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 2*t**2 - t**2 - 5*t + 7*t**5 - 2*t**5 + 5*t**5 - 5*t**5 + (2*t**5 - t**5 - 3*t**5)*(-3 + 4 - 3).\nAnswer: 9*t**5 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006809584 to the power of 1\/3, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 1, i: 1, z: 1, l: 1}. What is prob of picking 1 z, 1 i, and 1 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381686 = 3*r + 5*u, 9*u - 381721 = -3*r + 11*u. Suppose 504293 = 32*p + r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4 + 501*v + 5*v**2 - 487*v - 3*v**3 + v**3. Let i be l(4). Solve 5*u = u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3189267832345 and 0.\nAnswer: -3189267832345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1462 (c) 2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -6*m + 3*m. Let d = -19 - m. Suppose -3*y + 4*y - d = 0. What is the greatest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73052 or -73045?\nAnswer: -73045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 3921.\nAnswer: -7, -6, 3921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 14*k - 245. Calculate q(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqevlqvqqelq. Give prob of sequence eve.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k - 618*k = -2316 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 554498609 to the power of 1\/2, to the nearest integer?\nAnswer: 23548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202546619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -4872*a + 4867*a - m, 19 = -2*a - 3*m + 28 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 7138 - 7020 = 2*h - 13988 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let g(u) = 3*u. Let s(w) = -g(w) + 4*k(w). Let q(v) be the third derivative of v**5\/60 + v**2. Give q(s(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5328 in -3.8, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**8\/560 - b**7\/50 + 19*b**6\/200 - b**5\/4 + 2*b**4\/5 - 2*b**3\/5 - 3*b**2 + 28. Solve q(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.5. Let j = 0.8 + h. Let t be 2\/1 - (8 + -1). Put j, t, 0.2 in decreasing order.\nAnswer: j, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606033096?\nAnswer: 2, 3, 25251379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h - 20. Suppose -17 - 10 = -3*r. Let g(m) = 6*m - 5. Suppose -8*j + 12*j + 12 = -2*z, -j = -z. Let i(d) = j*s(d) + r*g(d). Calculate i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1207748969.\nAnswer: 7, 17, 2729, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 180934 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 5*v - 4. Suppose -5*j - 31 = 5*y - y, -5*y = 2*j + 26. Let w be c(j). Determine k, given that -3*k**3 + 2 + 2*k**5 + w*k - k**3 - 2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203372977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (1 - 3) - (-1 - 44). Suppose -3*k = -f - 0. What is the remainder when 35 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 3*z - 12. Let t be h(-6). Let s be 8\/t*(-27)\/(-18). Suppose -s*o = -3*o - p, 4*p + 8 = 0. Solve d = -o*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 5*q**2 + 4*q + 2. Let i be o(4). Let x(y) = -y - 12. Let d(h) = -2*h - 25. Let u(c) = i*d(c) - 5*x(c). What are the prime factors of u(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = 2*p + 1, 10 = p + a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-4) - 217\/(-14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, 73, 4, 0.5, -30?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.2, -36518?\nAnswer: -36518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/3, -45\/2, -2\/7, 2.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2336 or -319?\nAnswer: 2336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 666861 + -10376. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y - 6. Let s be m(3). Let q = s + -16. Suppose -g - 3 = -q*g. Solve 24 = 4*o + g*i, 5 = 3*o - i - 0*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*-1*(sqrt(200) + 0))**2.\nAnswer: 600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5530.\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqqvtqlqqqtqvqsqtqj. Give prob of sequence lt.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-12))\/((-1928)\/(-30848)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + 629. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = 9*g. Factor -2\/9 + 8\/9*c**3 - 2*c**g + 4\/3*c.\nAnswer: 2*(c - 1)**2*(4*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 865, 1668, 2461, 3244, 4017, 4780?\nAnswer: 5533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4 + -12 + (-3)\/(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (3 - (-5 - -9))) + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 73262469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18525336 - 0?\nAnswer: -18525336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 14*l - 20.\nAnswer: -2*(l + 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from ffdffffffffff?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235 + 191.9. Let l = h + 42.9388. What is l rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyryoyrocorrho. What is prob of picking 2 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/10 (b) 7\/10 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:08 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24342222 - 240?\nAnswer: -24343012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 - -315. Let s be h\/189*(-6 + 3 - 3). Which is the fourth smallest value? (a) s (b) 1\/3 (c) -134 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5006\/(-90) - 2\/(-9). Let t = x + 56. Let r(v) = -v**3 + 6*v**2 - 4*v - 3. Let l be r(5). Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(20\/(-5) + 2). Let y be (-599999 - 0) + (-4 - -5)\/f. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -3*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -18. Let x = -1593.6 + 1596.6. Which is the smallest value? (a) p (b) 6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*sqrt(1700)*2)**2 + -5 + 3.\nAnswer: 244798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 15 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 2*r. Let a(j) = 472*j**2 + 472*j. Give 5*a(f) - 1180*n(f).\nAnswer: -1180*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 68. Let r(v) = -8*v - 2*v + 19*v - 11*v. Calculate r(n(a)).\nAnswer: -4*a - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7 - (-5 - (-3 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13248 + -13363.27. Round t to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14dea (base 15) in base 3?\nAnswer: 10102021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 575*h**2*p + 887*h**2 - h*p + 1 wrt p?\nAnswer: 575*h**2 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36401547 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*r - 258*r - 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 63, 2, -23 in decreasing order.\nAnswer: 63, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2275 - -4945. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 - 1127*j**3 + 382681*j**2\/2 + 500076948*j + 98445494088.\nAnswer: (j - 1436)**2*(j + 309)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-2176)\/(-256))\/(-2).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 3*x + 23*f - 60, 5*f + 20 = 0. What is the remainder when 188 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -63. Differentiate -5 + w - 5 + 1 - 17*z wrt z.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 4*c = 7*c - 430 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 0. Suppose 2*t - 4*t = g. Solve 3*f - 8*f + 20 = t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029983 divided by -275453?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222284?\nAnswer: 2, 61, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2464 and 16?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 6*g + 123 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 minus 1076690794463?\nAnswer: -1076690794462.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Let d = -3 - h. What is the second smallest value in -0.3, d, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 719994000 to the nearest one million.\nAnswer: 720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5\/(-55)*6.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*z + 6375 - 49375 = 797*z for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a0 - -4?\nAnswer: -89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -77\/4. Sort 1, 5\/4, -5, f.\nAnswer: -5, f, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 18*c + 599. Give t(-34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/850*-5 - (-3202616812)\/34. Suppose -14*d - 8285388 = c. Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1018 by -2.\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*f*r**2 + 748464*f*r + 2*r**2 + 232026520*r - 2 wrt f?\nAnswer: 26*r**2 + 748464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 8*j + 4. Let t be d(-9). Suppose -t*i + 15*i = 0. Let z be (-840)\/(((-14)\/7)\/(-25 + i)). Round z to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218020 + 206293. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l + 3. Let i = 6 + -1. Suppose -2*v - 2*j + 10 = 0, -3*j + j = -i*v - 10. What is o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.035 and -0.7.\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**5 - 10 - 3*a + 10 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496352835 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w - 3*w - 5*z, 4*z = 4*w + 4. Solve 1\/3*o**2 - 1\/3*o - 1\/3*o**4 + 1\/3*o**3 + w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 126524413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -97*q + 91*q + 43, -5*a + 49 = 3*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554564 is divided by 140?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 156.363646 and 0.3?\nAnswer: 156.063646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 32*t - 2. Let u(y) = -y**2 - 94. What is w(u(l))?\nAnswer: -32*l**2 - 3010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - 8. Let d be 4\/(-16) - m\/40. Let t = -8507 - -8507.4. What is the closest to d in -0.3, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338912282 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = 3*a + 272. Let j = a - -150. Let m = j + 190. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 11, -165, -507, -1069, -1905, -3069?\n\"Answer: -9*z**3 - 2*z**2 + 5*z + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 8*z + 5. Let s be u(4). Let y(d) = 4*d + 5*d + s*d + 6*d. Let q(t) = t**2. Calculate y(q(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*t - 34 = 0, 17 - 47 = -3*z - 3*t. Let n be (z\/(-28))\/((-3)\/21). Let r be (-1 - -1)*((-15)\/(-10) - n). Solve r = -3*g - g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4 + 8*n**3 + 109*n**2 - 800*n - 900 = 0.\nAnswer: -10, -1, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 3:25 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 12. Let k be y(10). Let b = 8 - 6. Differentiate 0*z**2 - 5*z**k - 12 + 19 - 3*z**b with respect to z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from {z: 1, b: 1, w: 1, l: 2, d: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11164, -132, 38, 2\/7?\nAnswer: -0.11164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -50 - 14 - 152*h - 134*h - 185*h. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a decade?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2)*(-1)\/(432\/(-729)))\/(8\/96).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**8\/320 - r**6\/720 + r**4\/8 - r**2. Let s(g) be the second derivative of i(g). What is the units digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36532348 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 175, 693, 1557, 2767, 4323?\n\"Answer: 173*n**2 - n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.4 - -33. Let f = 4 - r. Let o = f - -0.95. Round o to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -15 (c) 0.45 (d) -2\/11 (e) -4\/7 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*h*z**4 + 2*h*z + 7*h - z**4 + 123*z**3 + z + 53 wrt z.\nAnswer: 1068*h*z**2 - 12*z**2 + 738*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 238514?\nAnswer: 238508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 24*s + 23 = -27*s, -r = -22*s + 27*s + 17 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788556631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7323105 divided by 2441035.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632 by 5.\nAnswer: -632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3421*x = -5835*x + 2103*x - 602*x - 558360 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 9\/(-3) + -4. Let v = k + 24. Suppose -l = 4*l - v. What is the highest common divisor of l and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/12770925 and -81\/6811160.\nAnswer: 102167400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6147 = 146*p - 3343 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.60921ns in microseconds?\nAnswer: 0.00660921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153745433?\nAnswer: 17, 9043849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 469?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-2205)\/406) + ((-310)\/25 - -12). Determine m, given that 4\/9*m**2 - k - 4\/9*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, 2\/7, 29\/695, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25681 by 1.\nAnswer: 25681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.676 - -0.076. Let h = g + 24. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.62 * 2.\nAnswer: -31.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 162\/4)\/(3\/(-6)). Let o = 78 + t. Solve 4*i + o*f = 2*i + 10, 2*i - 10 = -4*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**5\/30 + w**3\/3 + 47*w**2\/2 + 110. Let p(z) be the third derivative of i(z). Let f(o) = 3*o. Calculate p(f(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017155 to four decimal places.\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 2*m + 40 = -20*u, 4*m - 19 - 11 = -2*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b**(-6))\/(b\/(b*b*b\/b**2)*b*((b*b*b**6)\/b*b)\/b*b))\/((b**(1\/8)*b**(-2))\/(b*b**(5\/2)*b**(-5\/6)*b)) assuming b is positive.\nAnswer: b**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2 - 19 = -22 - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:59 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -147267 at most -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from rraahacharratah?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 - 12 = 0. Let g(v) = -v + 1. Let q be g(-4). Solve p - q = s*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 + (-2 - 2 + 6)*(-10 - 15 + 6))*(2*b - 3*b - 2*b) - 3 - 2*b + 3 + (3 + 0 - 1)*(-2*b + 0 + 0).\nAnswer: 105*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let d(b) = 0*b + b + 12 + 0*b - 17 + 2*b**3. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 47 + 101 + 48*r - 186 + 44. Let g(l) = l**2. Calculate g(y(v)).\nAnswer: 2304*v**2 + 576*v + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -33. Let k(b) = -5*b**3 + 3*b. Let v(q) = -24*q**3 + 14*q. What is w*k(p) - 3*v(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662 divided by -3492?\nAnswer: -1331\/1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let u = -63 - -57. Let y be u\/(-5)*90\/27. Give v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*p**2 - 71*a - 351*p**2 wrt a.\nAnswer: -p**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1 + 3 - 1 - 2 + j. Let c be h(3). Find the first derivative of -2*f + 0*f - 3*f + 3 + c*f wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 2 (c) -279 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -824695 divided by -7?\nAnswer: 824695\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*t + 15 - 1 = 0, -4*r + 5*t + 30 = 0. What is the second derivative of 2*y - 2*y**5 + 3*y**r + y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/12)\/((-2)\/(-4)). Suppose -i + 9 = -x. Do -7 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 52*b - 269. Solve b = 5*v - 4*o, -11*o + 10*o = v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 36. Suppose -5*q + 40 = 4*l + l, 5*q - g = 2*l. Suppose -d - 21 = -l*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -9*b. Let q(r) be the third derivative of 0*r**3 + 0 + 1\/8*r**4 - 1\/20*r**5 - 2*r**2 + b*r. Find the second derivative of q(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 u when three letters picked without replacement from {u: 2, e: 8, h: 4, z: 2, o: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5388341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2789, -2838, -2919, -3032, -3177, -3354, -3563?\nAnswer: -3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000066222 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 32, 48, 64, 80, 96?\n\"Answer: 16*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)\/((q\/q**(-9))\/q))**(-3\/13) assuming q is positive.\nAnswer: q**(126\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149691516 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*x = 204, 6*x - 8 = 2*x. Let k = -28 + f. Calculate the greatest common divisor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.777 * -1.903\nAnswer: -10.993631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**3 - 3\/2 + 7\/2*s - 5\/2*s**2.\nAnswer: (s - 3)*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*i**3*t**2 - 83*i**3*t - 2*i**2*t**2 - 3*i*t**2 + 95*i + 3 wrt t?\nAnswer: -770*i**3 - 4*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1580.3 + -1584.3. Sort -5, -37, n, 1\/2.\nAnswer: -37, -5, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16670, -16704, -16760, -16838?\n\"Answer: -11*g**2 - g - 16658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 45. Let u be (-1)\/(-2) + (-3)\/(-6). Let q(x) = -x + 1. Let r(l) = -2*l + 6. What is p*q(b) + u*r(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -24140?\nAnswer: -24143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/3*38\/6. Let z(u) = u**2 + 2*u + 3. Let j be z(7). Let l = f + j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + n + 21 - 10 to the form l*n + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 569233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15393.79 to the nearest 100.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*x**2 + (-6 + 1 + 2)*(157 - 8 + 101)*(-2*x**2 + 0*x**2 + 6*x**2).\nAnswer: -2998*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**1\/m*m*m)*m*m**(-1))\/(m\/(m\/(m*m\/(m\/m**(1\/2)*m)*m*m)))**(-7))\/((m**0\/m)**3)**(-1\/50) assuming m is positive.\nAnswer: m**(411\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-1320)\/(-18))\/10*(21 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4935*x**2 + 189*x - 2 wrt x?\nAnswer: 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109938 is divided by 1617.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43729 is divided by 42700.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 - 728*b**4\/9 - 1456*b**3\/9 - 32*b**2 = 0. Calculate b.\nAnswer: -18, -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 8. Let y be (n\/(-20))\/(4\/10). Solve q = -y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/3)\/((-3)\/(-57)). Suppose s = 5, 5*y - 4*s + h = s. Let b = y + 24. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/(8\/40). Let u(r) = 8*r**3 + 12*r**2 - 9*r + 4. Let c(h) = -4 + 11*h**2 - 9*h**2 + h**2 - 2*h + 5 + 2*h**3. Calculate k*u(x) - 9*c(x).\nAnswer: -2*x**3 - 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -193. Put f, 2, 0 in descending order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Solve 5*g = -5*k - 20, a*g + 9 + 11 = -5*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000888 rounded to seven decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 2. Let r(k) = 28*k - 7. Let v(n) = -7*c(n) - 2*r(n). Let b(f) be the second derivative of f**4\/4 + 153*f. Calculate v(b(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1284, 2 in descending order.\nAnswer: 1284, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 1, u: 5, n: 1, y: 6}. What is prob of picking 1 i and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/17 + 270*c**3\/17 = 0.\nAnswer: 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396260759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 5*y - 3. Suppose 13 - 5 = 4*w. Let z be (6\/4)\/(2\/4). Suppose w*r - z + 1 = 2*t, t + 13 = 4*r. What is b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1884256 + 145089786\/77. Let z = r + -312\/11. Calculate the common denominator of z and 48\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 plus -8717857092976?\nAnswer: -8717857092980.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-60) - 9\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -426, -425?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 2 - (5*(sqrt(567) + -1) - sqrt(567))**2.\nAnswer: -9095 + 366*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 - 3) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -187. Let q = -20 - -18. Which is the fourth smallest value? (a) 0.6 (b) q (c) p (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1398*u + 4. Let t(y) = -10*y**2. What is p(t(w))?\nAnswer: 13980*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.55044633 rounded to two dps?\nAnswer: 12.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.82287 plus 519?\nAnswer: 528.82287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 + 125 = -235*c - 1366 - 665 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 + -101. Does 17 divide 2\/((-12)\/(-30))*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -868*a + 6077. Let g be r(7). What is the fourth biggest value in 2, 0.7, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101025 = 2005*y - 2020*y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-156)*3 - 128\/(-13). Let w be ((-13)\/(-26))\/((-1)\/h) + -1. What is the units digit of 0 - -62 - w\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -67. Do z and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w - 6*w + 0*w + 3*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 30 = k + 4*k, k + 5*m = -20. What are the prime factors of (3\/2)\/(k*3\/190)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-42)*-7*-102. Is g equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45732, 91584, 137438, 183294, 229152?\n\"Answer: x**2 + 45849*x - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3 + 23. Let q = 14 + -10. Suppose 5*o + 0*o = q*z + 45, 5*o = 5*z + 50. Sort o, u, -1.\nAnswer: u, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -t - 2*d + 45, 2*t - 3*d = 83. Let c(f) = 7 - 23*f + 25*f - t. Let j be c(19). What is the closest to -1\/2 in -2, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -308898*v**3 - 60884346*v**2 - 6194480*v - 157600 = 0.\nAnswer: -197, -20\/393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38894 is divided by 809.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/24 + 15*g**3\/2 + 54*g**2. What is the remainder when p(21) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26387 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7500770?\nAnswer: 2, 5, 750077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f + 19. Let k(s) = -8*s + 18. Calculate 5*k(w) - 6*v(w).\nAnswer: 2*w - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d**2 + 8*d + 8. Let v(c) = -9*c**2 + 5*c + 5. Let r(x) = 5*k(x) - 8*v(x). Let u(p) = -194*p**2 + 2*p. Calculate u(r(y)).\nAnswer: -27936*y**4 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1 - 9 + 3*k - 6*k. Calculate the lowest common multiple of t(-4) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 16\/3. Let x(i) = -11*i**2 - 11606*i**3 + 3 + 5790*i**3 + 5801*i**3 + 1 + 15*i. Let t(h) = -8*h**3 - 6*h**2 + 8*h + 2. Calculate y*x(d) - 11*t(d).\nAnswer: -2*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 1, r: 1, u: 1, x: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3756.18 nanoseconds?\nAnswer: 0.00000375618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765 = 103*p - 55*p - 3*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1528 + -1372. What is the nearest to 4 in -0.3, -0.2, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3221, -10039, -21413, -37349, -57853, -82931, -112589, -146833?\n\"Answer: -u**3 - 2272*u**2 + 5*u - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59147 or -59242?\nAnswer: -59242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 7) + 8 + -5 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 77?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 237*c - 952. Let t be i(-4). Solve -2*g = 4*l + t, -4*l - 3*g - 9 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 3 + -8 + 5 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3179652.\nAnswer: -953895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-57 - 15666\/(-273))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjijskjiisissiicsik. Give prob of sequence kkcj.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*i = 0, -5*l - 3 + 0 = 4*i. Let p(u) = 4*u + 87. Let n be p(-21). Put n, -9, -4, l in decreasing order.\nAnswer: n, l, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 - 127. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*i - 2, -5*l + 3*i = 7*i - 10. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g**2 + 44423*g - 44423*g - 50*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*q**3 + 15*q**2?\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3*r - 2*r + 0*r) + (-10 - 5 + 5)*((-1 - 3 + 2)*(5*r - 5*r + r) + 0*r + 4*r + 3*r).\nAnswer: -49*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 5. Suppose -3*m - m = -24. Let k(h) = -6*h**2 - 4. Let c(o) = o**3 - 3*o**2 + 7*o - 5. Let x be c(2). What is m*k(d) + x*w(d)?\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 13*c = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2389688763 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/505 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 102996 = a + 8*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 128572516 and -1861932.\nAnswer: 126710584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b33b + 23?\nAnswer: -5b318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1\/(-1) + 4. Suppose 5*r = o*r + 14. Suppose 4*p - 10 = -5*i, -2*p + r*p - 21 = -2*i. Which is smaller: -6\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p - 10. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188419 divided by 7\nAnswer: 26917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*f - 7, -3*f + f + 10 = 4*m. Let x = 64 - 35. Suppose 5*k + 2*i + x = 3*i, m*i - 33 = 5*k. Sort -4, k, 2 in descending order.\nAnswer: 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 531.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 3*t - 2. Let k(w) = w**2 - 2*w + 2. Suppose -x - x + 4 = 0. Let h(i) = x*s(i) + 3*k(i). Differentiate h(l) with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 328.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 6) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i + 6*i + 4*i + (2*i + i - i)*(-2 - 3 + 4))*(-8 + 71 + 75 - 23).\nAnswer: -920*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3 + 18311289*o**2 + 83825835366024*o + 83825817054736 = 0.\nAnswer: -9155644, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -3*q - 3887. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + (286 - 274) + (-7 - -9) + 4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/4 + 1\/4. Which is the second biggest value? (a) 0.2 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*i, 5 = 2*i + 1. Let c(f) = -f**t + 7*f - 6 + 3*f**2 + 4*f**2 - 7*f**2. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*c = 5 + 5, -5*v - 5*c = -30. Factor -2\/3 - 1\/3*i**v - i.\nAnswer: -(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 213581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, v: 1, q: 1}. What is prob of sequence ava?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 55.9.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 13*q + 7. Let c = -499 + 493. Determine g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 - 3*w + 7. Determine j(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 217*l - 2 + 81*l.\nAnswer: 298*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*g = -110, 2*g - 29 = -u + 13. Let j be (0 + (-2)\/3)*-42. Let i = u - j. What is the least common multiple of i and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(3) + sqrt(12))*-2)**2 - (sqrt(432) - (sqrt(432) + 3))).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**4 + 6*g**4 + 5*g**2 + 4*g**2 + 6*g**2 + 4*g**3 to the form l + f*g + a*g**4 + p*g**2 + v*g**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/37))\/(s*s\/s**(2\/61)*s*s)*s\/((s**11*s)\/s)*s**10 assuming s is positive.\nAnswer: s**(-6636\/2257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599647?\nAnswer: 7, 228521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (16 + -2 - 8) - (1 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2259*t - 12. Let p(b) = 2257*b + 18. What is -3*i(g) - 2*p(g)?\nAnswer: 2263*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 47*b - 2520 = 0. Calculate the remainder when 172 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 1068704*w\/5 + 14962248\/5.\nAnswer: -2*(w - 14)*(w + 534366)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 2*k - 6. Let j be o(3). Suppose -c = -j*c + 100. What is the highest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801768171.\nAnswer: 7, 17, 47, 46021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q**2 + 2*q - 3. Let k(t) = 47*t**2 + 5*t - 5. Let v(w) = 3*k(w) - 7*l(w). Suppose 0*n + 4*n = 24. Let r be v(n). Round r to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let y(r) = 94 + 15*r**2 - 192 + 98. What is j(y(z))?\nAnswer: 450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3*p + 4*g**3 - 2*g*t**3 - 62*p*t**3 - 5*t**2 wrt p.\nAnswer: -3*g**3 - 62*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3146.2 + -3146. Which is the closest to 1\/3? (a) 1\/3 (b) 4 (c) 19\/8 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 (base 4) in base 5?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q + 1049 = 1894 - 2045 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**0*k)**7)**(-43))**(-2\/3))**(20\/3) assuming k is positive.\nAnswer: k**(12040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948 >= 4924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 56117*b - 56120*b + 43 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 82?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x - 13*x - 7*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -0*z. Let n be (1\/z)\/(3\/(-18)). What is the third biggest value in 1.2, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 67*p - 58*p - 4 + 7.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**9\/30240 - g**8\/3360 + g**6\/90 + g**5\/20 - g**2. Let n(d) be the third derivative of c(d). Factor n(l).\nAnswer: -2*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 2*n - 3*n - 2 + 2 + n + (69 + 6*n - 69)*(2 + 3 - 3) + 5*n + 0*n - 4*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 2 q when four letters picked without replacement from yyykyqpyykpyqy?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 63\/2*l**3 + 69\/2*l**2 + 15\/2*l**4 + 0 - 3\/2*l**5 + 12*l = 0?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(1088) - sqrt(1088))**2 - (-1 + sqrt(1088) + -1)**2) + 5.\nAnswer: -1087 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22248 by 27.\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -41 - 4*y**2 + 171*y**3 + 2*y**2 + 39 + 809*y**3 + 3*y. Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -303.\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71138*v + 71136*v = 5*z + 64, 3*z - 3*v = 96 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10486.\nAnswer: 2\/5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 94.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from mmbmmmmmmbmm.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-12 + (-304)\/(-30))) + 73\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.932433 - -2289.\nAnswer: 2289.932433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = 1. Suppose -5*k - 3*p + 1335 + 1503 = 0, 4*k - 2*p - 2288 = l. Is k a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5313.784 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 47844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 208568.7 months?\nAnswer: 17.380725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*q**3 + 2*q + q - 7*q - 55*q**3.\nAnswer: 13*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 4)\/(12\/16). Suppose -3*g + 2 = -5*i, 0*i - i = -j*g + 14. Solve b = i*q - 3*q + 2, 4*b - 17 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 - 4)*(8*h**3 + 22 - 22) + 1 + 2 - 2 + 2*h**3)*(-2 + 0 + 3) - 61*h**3 - 6*h**3 - 66*h**3.\nAnswer: -123*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 less than 0.1?\nAnswer: -435.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.99887 - 3.\nAnswer: -1.00113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 9*z + 6. Calculate the remainder when 137 is divided by a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 9084*z - 6876588.\nAnswer: -3*(z - 1514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s - 10. Let j(q) = -8*q + 5. Let l(b) = 7*j(b) + 3*p(b). Differentiate l(g) with respect to g.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 20 + 136. Let u(c) = 11*c**2 + c. Let z be u(-2). Suppose 3*k - 12 - 12 = 3*p, 4*k - 2*p = z. What is the greatest common factor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 + 1. Suppose -h + 4 = 0, -n + 3 - 1 = -h. Suppose -n*q = -3*q - 6. What are the prime factors of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2290, 4522, 6758, 8998?\n\"Answer: 2*p**2 + 2226*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from anawlaaaalanwanwl?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 8 - y + 4. Let v be m(7). Let l = 10 - v. Solve 10 + 5 = l*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 0.02 (c) 5 (d) -0.01 (e) -3 (f) 2196\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 152 = 2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2*z + 1. Let w be s(3). Let d be w\/(-17) + (1 - 0). Let q = d - -108\/85. Which is the smallest value? (a) -1 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26624, -53297, -80054, -106937, -133988?\n\"Answer: -7*k**3 - 26624*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f = 6*f. Is ((-204)\/(-18) + f)\/((-4)\/(-354)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5846.25 - 4\nAnswer: 5842.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) -0.2 (c) 0.1 (d) -6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64*2\/56)\/((-2)\/(-7)) + (-398)\/(-50)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*y + 169*y - 18 + 27 to the form b*y + j and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 - 462*k**2 + 15*k + 24727. Determine x(115).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000088 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 755448.3 days?\nAnswer: 18130759.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14391703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-816)\/(-11) + -2 - 8\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3156543 (base 10) in base 2?\nAnswer: -1100000010101000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231024 divided by -1?\nAnswer: -231024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q + 2. Let a be b(2). Suppose 5*h - 150 = -0*h + 5*i, -4*h + 126 = -i. Let v be (h\/20)\/(12\/30). Solve v*l + 7 = -2*k - k, a = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -34517, 0.5, 12 in descending order.\nAnswer: 126, 12, 0.5, -34517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -96527811.3 rounded to the nearest 1000000?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 3*u + u**2 - 2*u**2 - 11 - 14*u. Suppose f - 2*r + 21 = 0, -2*f - r = 2*f + 39. What is the tens digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + 4*p)*(-2*p**4 + 2*p**4 - 2*p**4) + p**4 - p**4 - p**5 + 3*p**5 - 3*p**5 - 9*p**5.\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 3300, 4583?\nAnswer: 5866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 610 and 1059475?\nAnswer: 129255950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 105.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -47. Suppose -s - 220 = -5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -686*m + 677*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7782 - -1.\nAnswer: -0.7782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242244519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 52230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 11 (b) 0 (c) -0.4 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -0.1 (b) -8 (c) 1\/2 (d) -5\/6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 29*a**2 - 16*a + 23. Determine j(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 - 270*c + 6600 = 0.\nAnswer: -110, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 23132221.3 to the nearest 100000.\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -1\/4, 626?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + -9. Let t(c) = -c**2 - 25*c + 23. What are the prime factors of t(x)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*1)**2*6 + sqrt(68))*4.\nAnswer: 8*sqrt(17) + 6528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1068 - -185. List the prime factors of v.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 - 1 + f**2 - 2*f**2 + f**3 + 3*f**4 as c + d*f**3 + l*f + h*f**2 + t*f**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 345*g**2 + 4*g - 2. Is l(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, s: 11}. What is prob of sequence ss?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*j - 47, 3*y + 6 = 4*y - 4*j. Calculate the least common multiple of 22 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 4*u**2 - 2. Let v be a(-4). Suppose -4*k = -y + 9, 3*k = -4*y + k - 36. Let q = v - y. Solve 5*b = -q*m - 3 + 8, -2*m = 4*b + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*s + 3 = 0, 5*s + 0 = 2*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 4. Let a(h) = -h + 2. Let c(i) = -11*a(i) - 6*j(i). What is c(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 2368040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 5*s**2 + s**2 - 3*s**2 - s**2.\nAnswer: 2*s**2 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 420, 613, 790, 945, 1072?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 2*b**2 + 222 + b**2 + 4*b**2 - 222.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -22. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38523420 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11570 is divided by 1060?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97346*z**6 + 9*z**2 - 122*z + 3 wrt z?\nAnswer: -11681520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r + 3. Let g(j) = 1. Let l(k) = 4. Let n(q) = -7*g(q) + 2*l(q). Let b(w) = -n(w) - o(w). Differentiate b(t) with respect to t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12414 and -450513.\nAnswer: -438099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -3*b**4\/4 + b. Let u(n) be the first derivative of 19 - 2\/3*n**3 + 0*n + 0*n**2. Determine j(u(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let v = 4 - 9. Let y = 4.7 + v. What is the smallest value in 1, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let c(w) = 2*w - 1. Let f(h) = -2*h. Let k be (9\/6)\/(22\/(-44)). What is k*f(r) + v*c(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211100002 + 12?\nAnswer: 211100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865523?\nAnswer: 19, 67, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Suppose -2*j = 2*b - 18, 45 = 5*j - 0*b + 2*b. Let g be q(j). Let y(d) = d - 4. Let a be y(4). Put 3, a, g in decreasing order.\nAnswer: 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/(-4) + 11340\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156934904 by -70819.\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*3 - sqrt(132) - -3*sqrt(132)*1)\/((sqrt(54)\/sqrt(2)*1 + sqrt(27))\/((sqrt(9) + sqrt(27)\/sqrt(3))*2)) + 1.\nAnswer: 1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.72 + -0.12. Let d = 0.628 - z. Round d to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 + 46 + 8*g)*(-1 + 1 - 2)*(59*g + 39 - 39) in the form l*g + i + s*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4*2\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14666 - 28166. Round q to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20533*m**3 + 20529*m**3 - 40979*m**3.\nAnswer: 83*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Solve -8 - 2 = q*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31758\/7 at least as big as 4538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6680 is divided by 98?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 0 + 0 - 16*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 14436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7 - h - 3 - 3*h. Let a(w) = -36 - 19*w + 12 + 2 - 29. Let i(g) = 2*a(g) - 11*s(g). Let y(r) = -2*r - 3. What is 5*i(n) + 14*y(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94525981915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4.37 (b) 0.2 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(0*v - v + 2*v)*(-3*v + 4*v - 2*v) - 2*v**2 - v**2 + 2*v**2 as u + s*v + h*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21 and 59\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1149 divide 41290464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**3*n**3 - 26*a**3*n + 3*a**2 + 79*a + 6*n**3 wrt a?\nAnswer: 24*n**3 - 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:10 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/6 - 13*l**3\/6 - 3*l**2\/2 - 3*l - 1. Calculate g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1927 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 4756, 15782, 37198, 72472?\nAnswer: 125072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 - 4*i - 25. What is n(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4 + r**3\/6 - 110*r**2. Let p be v(-2). Calculate the highest common factor of p and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {m: 1, b: 5, l: 6, d: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95565 and 88665.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*m + 8 + 7, 5*d = 3*m + 17. Let t be d - 6\/(-9) - (-3)\/9. What is the units digit of (t*(-7)\/(-21))\/((-4)\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -7 - 14 - -2 - 15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15 = -6*w. Suppose -1 = -3*o - 5*b + 3, -5*o + b = 12. Put 2, w, o in ascending order.\nAnswer: o, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5871218*l**3 - l**2 - 12975690?\nAnswer: -17613654*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-2\/9)*i\/i**4*(i*(i*i**0\/i)\/i*i)**25 assuming i is positive.\nAnswer: i**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 4921?\nAnswer: 19684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34670923 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*m + 18390, -3*h - 4594 = 5*m - 6*m. Suppose -4*v = 4*b - m, -2*b - v + 1037 + 1265 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108941 is divided by 453.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 768 + -772. Let f = -6 - -3. Let q = k - f. Do 2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o*o**(7\/4))\/(((o*o**1)\/o*o)\/(o*o\/((o*o\/o**4)\/o)))*((o*((o\/(o**0\/o))\/o)\/o*o*o)\/o)**12\/(o**(-1\/5))**(-5\/4) assuming o is positive.\nAnswer: o**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0 (b) 0.02 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108924406 rounded to five dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/15)*i)**(-29\/4) assuming i is positive.\nAnswer: i**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 3. Let l(c) = -c - 8. Let b be l(-8). Suppose -8 = 4*k - 5*u, b*u + 5*u = k + 17. Determine p(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**2 + 6*t + 2. Let u be a(-6). Let m = -21701\/43 + u. Let d = m - -1\/129. Which is greater: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -16)\/((-7)\/21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 16) + -2 - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + c - 2 = 6, -c = 0. What is the units digit of 106\/b*(15 + -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*p**2 + 2*p**3 - 384*p**2 - 4*p**3 + 5*p.\nAnswer: -2*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -6*sqrt(11)*-2 + (sqrt(11)*-1*-2)**2 - ((sqrt(66)\/sqrt(6))**2*4 + -3).\nAnswer: 3 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*v - 24 = 16, -4*w - 32 = -2*v. Calculate the common denominator of -55\/9 and ((-393)\/w)\/(18\/8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12548417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179956, 719797, 1619530, 2879155, 4498672?\nAnswer: 6478081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 + 2*m + 2. Let r be d(2). Suppose -4*s = -4, -r*y + 2*s = -5*y + 29. Suppose -6*i + 3*i = y. What is the closest to 2\/7 in 0.1, 1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1109128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 4*w - w - w + 4*w - w + (-1 + 3 + 2)*(-23*w - 26*w + 45*w + 0*w + 0*w - w + (0 - 3 + 2)*(-3*w - 4*w + 5*w) + 2*w + 1 - 1).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from rdzdqhhhh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0209073 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) 140.3955 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 526118, 16, 5 in descending order.\nAnswer: 526118, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + 23 - 26 - -9) + (-73 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75573868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -8*b + 302. What is the greatest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6372, 0, 11 in ascending order.\nAnswer: 0, 11, 6372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 88?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 573751741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8047073 and 0.1.\nAnswer: 804707.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024 and 70.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 - -280. Let t = 1034 - k. Suppose -4*z = 58 - t. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 > 19804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(7\/5)))\/c)**(-3\/17) assuming c is positive.\nAnswer: c**(21\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let l be (3 + 7\/(-2))\/(c\/20). Solve -j = 4*j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/9 - 2)*15. What are the prime factors of ((-288)\/(-15))\/(-4)*t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 3. Let c be d\/(15\/2)*10. Let o(g) be the first derivative of g**4\/4 - 5*g**3\/3 + 3*g**2\/2 - g + 158. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -235\/13 (b) 2\/9 (c) 1\/10 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*9\/63*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 894 in decreasing order.\nAnswer: 894, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 258.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/60*6\/(-4). What is the fourth smallest value in -5\/11, -0.1, -3, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 + 2. Let q(v) = -1 + 2 + 60*v + 38*v - 35*v. Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -53*n - 3. Let g(c) = -52*c - 5. Let m(v) = -52*v - 6. Let k(z) = 5*g(z) - 4*m(z). Let u(s) = -2*k(s) + 3*x(s). What is the derivative of u(r) wrt r?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/5 - m**3\/5 + 14*m**2\/5 + 24*m\/5 = 0 for m.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-6)\/117*3)\/(206\/(-1339)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8*p = 10*p - 58, 0 = 2*y - 3*p - 9. Solve -5*r + 3*j = -6, -y*r + 4*j + 3 = -7*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 531731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8412988, 16825993, 25238998, 33652003?\nAnswer: 42065008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 5*p + 70)*(-2 - 2*p + 2).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/5 (b) 2\/33 (c) 40.7 (d) -1\/10 (e) -4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31604*a - 15937*a - 1062 = 15844*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4453.8, 1\/5, -1\/13, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293762621 and 9713.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*p - 178. Let c = 69 + p. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*1686\/1405\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11))*3*6*-5.\nAnswer: -360 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 - 2.8. Let r = 0 + 2. Let k = y - r. Round k to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 477*v**5\/5 - 199*v**4\/12 - 2543*v. What is the third derivative of q(r) wrt r?\nAnswer: 11448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 197\/3*p - 56\/3 - 7\/6*p**2.\nAnswer: -(p - 56)*(7*p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 4332?\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7362 and 133999443.\nAnswer: 3681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10274?\nAnswer: 2, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 118576799 plus 0?\nAnswer: 118576799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 860 - 594. Suppose 3*l - 2*h - 441 = -5*h, 2*l - f = 5*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6063)\/(-2580))\/((-42)\/840)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14833 - 14591. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 2)\/(0 + 3 + -4). Suppose -20525 = -b*t + 8607. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 73*y**3 + 44*y**2 + 11*y. Let k(m) = 37*m**3 + 21*m**2 + 6*m. Let i(q) = 11*k(q) - 6*o(q). What is the third derivative of i(z) wrt z?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -277 + 4?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/52)\/(5*(-24)\/(-60))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 17*s**5\/20 + 7*s**4\/3 + 76*s - 49. Let g(l) be the first derivative of b(l). Find the third derivative of g(u) wrt u.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -2, 12, 8313, 3 in increasing order.\nAnswer: -2, -1, 0, 3, 4, 12, 8313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042612036 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19648546867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 573 - 1504 = x + 637 for x.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2. Let l(i) be the second derivative of 5*i**3\/3 + 15*i**2 + i. Let h(w) = 1. Let u(v) = 30*h(v) - l(v). Determine c(u(t)).\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1885 - -1908. Sort 1, k, 0 in descending order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10386, -9864, -9342, -8820?\nAnswer: -8298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 264*t + 1313. Give d(-4).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.57 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 222251251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -742 + 133. Let f = 902 + b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412912*z**3 + 4238765*z**3 - 1412910*z**3 - 1412928*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s + 0*s - 3*s + (s + 94*s - 23*s)*(2 + 1 - 2).\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*j - 95*j + 2*j + 4 - 12 - 8 in the form m + h*j and give h.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 201. Sort -4, n, 4 in descending order.\nAnswer: 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -246188544690.\nAnswer: -246188544690.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/9)*y)\/(y*y*y\/(y\/((y*y*y\/(y*y\/(y**1\/y)))\/y)))*y\/((y**(-1\/4)\/y)\/y)*y**(-2\/5))**(-47) assuming y is positive.\nAnswer: y**(-25991\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20614230 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-28)\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 2, j: 1, v: 1, a: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 59.\nAnswer: -205\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -b87253?\nAnswer: b8724a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 11*v**2 - 5*v + 11. Let o be (132\/(-99))\/(1\/((-3)\/(-2))). Let w(d) = 2*d**2 - d + 2. Determine o*c(s) + 11*w(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*w + 617*w = 3*j + 577, 0 = w + 4*j - 74. What is the least common multiple of w and 84?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 12*z**2 - 7*z - 39. Let j be r(11). Solve 2*k - 4*m + 24 = 0, -2*k - 3*k = j*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-588)\/(-9) - (2 + (-5)\/3). Suppose 4*u + u = -5*v + p, -2*v + 10 = 0. Which is greater: 9 or u?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 4945 = -1185. Let l = -6113\/26 + y. Suppose -3*g - 2 - 1 = 0. Is g at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p + 10. Let b(y) = -17*y - 12. Let t(w) = w - 1. Let f(i) = -b(i) - 3*t(i). What is the tens digit of f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2918714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(114\/(-36)) + 5529. Is (1 - h\/(-6))*(3 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321626*t**5*v - t**3*v - 3*t**2*v - t*v - 60*t + 9 wrt t.\nAnswer: 19297560*t**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 25054*m**2 + 2140022*m + 2114970.\nAnswer: 2*(m + 1)*(m + 85)*(m + 12441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 478 + -681?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)*f*f*f*f**4)\/((f**(-1\/4)*f)\/f**(-5)) assuming f is positive.\nAnswer: f**(83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (100\/8)\/(2\/4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2 - v + 3. Let a be x(4). Let n be 8*(a - 3\/(-6)). Let r(k) = k**3 + 5*k**2 + 2*k - 5. Calculate r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -43*b - 6. Let o be n(-4). Let m = -40 + o. Suppose -28*k - 40 = -32*k + 3*w, 2*w = 16. Calculate the remainder when m is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4249.27254 to one decimal place.\nAnswer: 4249.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05272 - -7.05272. Suppose 0 = 5*z - 2*z - 6. Suppose 0 = -3*r + 6*v - 8*v - 20, 2*v - 8 = 4*r. What is the second biggest value in n, z, -1\/3, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 163 = -4*q + 3, -4*j + q = -137. Suppose -5*s = 3*m + 13, -3*m + 2*s - 12 = -j. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b28 (base 16) in base 4?\nAnswer: 230220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from qqqqbbqxbbbxxbqbqqbx?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 7, g: 2}. Give prob of picking 1 l and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 + 25*a + 4202. What is the thousands digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 59*s - 4672. Calculate b(104).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 4063771 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777640351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46633 and -0.3?\nAnswer: -13989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46083.\nAnswer: 3, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 30*o**2 + 24*o - 747. Calculate j(30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75486*d**2 + 152267*d**2 - 75481*d**2.\nAnswer: 1300*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 0.01. Let i = -0.7 + 4.7. What is the nearest to i in 4, -0.5, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 14*z + 5. Let r(f) = -5*f**2 - 21*f + 7. Let b(x) = 8*o(x) - 5*r(x). Let j be b(9). Is (j\/3)\/((-3)\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 2. Let r(o) = -o**3 - 25*o**2 - 2*o - 53. Let g(f) = h(f) - r(f). Let w be g(-26). Which is greater: w or 34\/9?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(12\/(-99)) + 3\/(-12). Suppose 296 = v*y - 2216. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 8*y - 1. Suppose -3 = i - 4*j, 9 = -i - 4*j + 30. Let z be t(i). Let w be (z\/(-8))\/((-8)\/(-32)). Sort w, 2, -2.\nAnswer: -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20770 or 768480\/37?\nAnswer: 20770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*(11*y - 9*y - 2 + 0).\nAnswer: 4*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*(-16)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/5 of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from jjuuju.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from fttttttltfttlfff.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (3 + -15)) + -21 - (-125 + 179).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*z + 56, -3*z - 51 = 2*m - 5*m. Suppose 0 = -m*q + 33*q - 14448. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 46, 60, 72?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4231*z = 3*o - 4232*z + 1, -5*z = -4*o + 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/46, -1, 28\/41 in descending order.\nAnswer: 28\/41, -1\/46, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)\/sqrt(4)*2 - (sqrt(45) + -3*(sqrt(45) - sqrt(720))))*5)\/(3*sqrt(1296)*1 - sqrt(1296)*-1*4))**2*4.\nAnswer: 2000\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 11. Suppose 140 = -3*q + 152. Suppose 0 = -q*s + 32 + 44. What is the remainder when i is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.011359471737979 + -0.4\nAnswer: -0.411359471737979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 23\/2 (c) 0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 194. Solve p*y + 64 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 40) + (7 - 2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/90648 and 101\/221584.\nAnswer: 1994256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(19) + sqrt(1216)*2) + 5.\nAnswer: 20 + 85*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333*z - 48 = 1339*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 12 - (-8 + 9 - -4).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107549.\nAnswer: 13, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11844, -23925, -36236, -48777?\n\"Answer: -115*z**2 - 11736*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 6. Suppose 5 = 5*g, 2*d + 4*g + o = 24. What is the third derivative of 4*h**2 - h**2 - 13*h**6 + 19*h**d wrt h?\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 587991, 1175977, 1763963, 2351949, 2939935?\n\"Answer: 587986*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m + 11. Let v be w(-1). Let f = -4.98 + -0.02. Which is the smallest value? (a) 3 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/66)\/(((-800)\/(-15))\/8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190323 by 4.\nAnswer: 190323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 569, 1145, 1723, 2303, 2885?\n\"Answer: p**2 + 573*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6994130 and -89\/335335.\nAnswer: 48958910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -8 + 1 + (-115 - -127).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 - 30*t**2 - 21*t + 41. Let k be x(8). Which is bigger: k or 2\/21963?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062960 is divided by 354261.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 15*x**2 + 14*x + 2. Let h be a(-14). Suppose 3172 = 3*m + 2*m - k, -3*k = -h*m + 1261. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 0*w + 2*w**3 - 1\/300*w**6 + 1\/15*w**4 - 3*w**2 - 1\/75*w**5. Let o(m) be the first derivative of c(m). Factor o(g).\nAnswer: -2*(g + 2)*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870144970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74777380 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (350*1)\/((-8)\/12). Let v(g) = -2*g**3 - 16*g**2 - 10*g - 26. Let z be v(-11). Let d = z + i. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8705.1225 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543 (base 8) to base 6.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 - 4*u - 13. Calculate c(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22836 divided by -4\nAnswer: -5709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*s**2 + 18\/5*s - 9\/5.\nAnswer: (s + 3)*(7*s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11097 - -11577. Solve 22*w - b = -612 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583443 is divided by 268.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.862 times -89\nAnswer: 76.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4 - 4)*(-887*o + 886*o + 154 - 951).\nAnswer: 3*o**2 + 2391*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 17*y - 27. Let o be n(-15). Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478095.\nAnswer: 3, 5, 31873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3407 - 3398. Solve -10 = -n - 5*t, -11*n + 4*t = -u*n + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16 - -2)\/((-2)\/4). Solve -2*b + b = -5*v - h, b + 2*v = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129731 and 6896?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 2*b)*(-11*b + 36 - 36)*(0 + 5*b**2 + 0).\nAnswer: 55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5 + 243268*t**4\/7 - 3094846*t**3\/7 + 6885892*t**2\/7 - 2643208*t\/7 - 1391120\/7 = 0. Calculate t.\nAnswer: -17389, -2\/7, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 35, -3, 3\/530?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/3)\/(-13)*5\/(-10)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*o - 36, 0 = -0*a + 4*a + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4428 by -1476.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3137\/8 - -747\/2. What is the third biggest value in j, 2, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257476 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16\/7 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 2 + 62 = -26. Solve -z + 5 = 2*s, 11*z - n = 12*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - 49180 = -44*p + 90*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*(8 - 56\/12)\/(1\/(-3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 509644*c**2 + 4*c - 509644 = 0. What is c?\nAnswer: -1, 1, 127411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -282 - -638. Let i = 355 - z. Which is the nearest to i? (a) -0.19 (b) 1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*n**3 + 580946*l*n**2 - 7623*l*n + l + 3*n**3 + 2*n**2 + 258 wrt n.\nAnswer: -6*l*n + 1161892*l + 18*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2320, 2333, 2360, 2407, 2480?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7646 - 4321. Let t be ((-8384)\/8)\/(4 - (-36)\/(-8)). Let h = c - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 - 4*j + 4. Let o = 190 - 185. Calculate l(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d40 + 5?\nAnswer: -d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-6))\/((-4)\/(-8) + 0). Let c be (3 - 1*-1)*1. Suppose t*b + c = 3*f + 33, 3*f = 6. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239756803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 231 * 239\nAnswer: 55209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*y - 15932 = 21598 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let m(a) = -3*a - 1. Let x be m(j). Solve -5*u + 2*k = -14 + 39, x*k = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -904c98 (base 15) in base 9?\nAnswer: -13801368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)\/o)\/((o*o**(-13)*o)\/o))\/(o**(-1))**(-1) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b - 10*b + 44 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.388 from 0.8.\nAnswer: 2.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2. Let l(g) = -479639*g**2. Give l(n(c)).\nAnswer: -1918556*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*k = 75*k + 35496. Suppose 4*c - 3*b - 91061 = 0, -2*b + 18342 = c - k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:21 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.14979 to 0 decimal places.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 4*j - 433*j**3 - 296*j**3.\nAnswer: -729*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2528 and 13904.\nAnswer: 27808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from coonoccoccc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17378 - -40002. Let h = a - 1561030\/69. Calculate the common denominator of 73\/6 and h.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b - 8. Let l be y(-4). Let m(k) = k**3 - 4*k**2 - 6*k - 1. Let x be m(4). Let t = x + l. Solve 5*g = -t - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 2.7. Let z = -3 - m. Let f be 1 + 1 + (-6)\/4. Which is the nearest to z? (a) f (b) -2\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.362334kg in micrograms?\nAnswer: 2362334000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9 - 65*k + 133*k - 67*k + 61*k**2. List the prime factors of v(-4).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.07 - -10.9214. What is j rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - (-2*sqrt(117) + sqrt(117) + sqrt(117))*4))\/(sqrt(81)*-1))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106*t - 3*f - 5*f = 2108*t - 34, 5*t - 3*f - 62 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-5)*1\/2. Solve -2*h - g - 2 = 0, 3*h + v*g + 12 = 3*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/32975124 and 7\/9.\nAnswer: 98925372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 2. Let u(y) = -14*y**2 + 6. Suppose 0 = -2*c - 3*i + 3, 3*c - 318*i = -314*i + 30. Calculate c*u(x) - 17*k(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.9. Which is the nearest to 2? (a) j (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 8. Let p be (-54)\/36 - (-30)\/(-4). Let t = 12 + p. What is the remainder when t is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29544938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*40\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*n - o, 2*n = 5*n + 3*o - 81. What is the highest common factor of n and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-534)\/(-1869))\/((-4)\/98).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 + -0.63. Let t be (-1)\/((-2)\/(-62))*(-3 - -2). Let z = t - 27. What is the third smallest value in h, -2, z, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j - 32*j = 140 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 1\/4, 0.3, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.3, 1\/4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 50. Let h = f + -225\/4. What is the nearest to h in -0.4, 2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 687*g**2\/5 - 1378*g\/5.\nAnswer: g*(g - 2)*(g + 689)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4927\/91 + 2\/(-14). Let x be 2\/((-32)\/l) + 3. What is the smallest value in -1, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -133737595 and 0.05 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*4\/(-36)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(2\/(-54)*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.25 times 27448\nAnswer: -116654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 914, 1503, 2170, 2909?\nAnswer: 3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78475 plus -5?\nAnswer: -78480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 18*l**2 + 31*l + 21. Let n be h(16). Suppose -2*r + 4*r - i = 8, 0 = r - n*i - 13. Solve -5*t + 3 = -r*x, x - 4*t + 4 = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-9 + 5 + -13 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10809303, -10809279, -10809245, -10809195, -10809123?\nAnswer: -10809023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**3 - 3*m + 2. Let o be y(1). Suppose -5*l + 5 + o = 4*x, -3*l = 2*x - 7. Let r be (x + 3)*9\/6. Solve 5*z + r + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44198, 176784, 397756, 707114, 1104858?\n\"Answer: 44193*n**2 + 7*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1498 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -1, 3, 9?\n\"Answer: n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -39*h + 904. Let n be d(20). Solve -160 = 6*w - n for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - 378. Suppose -47 = -5*j + 3*x, 7*j = 2*j + 5*x + g. Let a(u) = u**3 + 2*u**2 - 6*u + 1. Calculate the remainder when a(5) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-498)\/(-1577))\/(24\/304).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/535 + -40391\/7490. What is the common denominator of (-18)\/42 + (-1580)\/168 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(208) + sqrt(13))*5) + 2.\nAnswer: -24*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(320) - (-1 + 1 + sqrt(320) + sqrt(320))) + sqrt(320).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 103*a**3 - 13*a**2 + 10*a - 15. Let b(f) = 13*f**3 - 2*f**2 - 1. Let o(y) = -8*b(y) + n(y). Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5953 + -5808. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + (-4 + sqrt(343)*2 + 5 + sqrt(343) + -2 + 2)**2)*5)*-1.\nAnswer: -15468 - 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.36 (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 0*d - 6*d - 9*d to the form a + o*d and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 118 = -4*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -873 (base 9) to base 16\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41232 (base 5) to base 4\nAnswer: -222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 12*g - 23. What is the units digit of f(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231815 and 4615?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 86, 2 in decreasing order.\nAnswer: 86, 12, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.7. Suppose -5*t = -4*y - 45 + 5, 5*t + 10 = -y. Let m be 4\/55*y\/(-4). Sort 1, w, m in descending order.\nAnswer: 1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81072 times 97\nAnswer: -7863984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -903116 or -903107?\nAnswer: -903107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3\/4 + 7197*n**2\/2 + 1205847*n\/4 + 4750704 = 0.\nAnswer: -4713, -64, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 - k + 6. Calculate u(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.081 and 209.5529828101?\nAnswer: 209.6339828101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.042\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**3 + d**2. Let f(m) = -m**3. Let b(x) = 193*x - 1157. Let h be b(6). Determine h*c(r) + 6*f(r).\nAnswer: 6*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21403 + 2?\nAnswer: 21410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 18, 1\/4, 1, 2\/5, -2.16 in decreasing order.\nAnswer: 18, 1, 2\/5, 1\/4, 2\/9, -2.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b*g*t**2 - 2*b*g*t + 3*b*t**2 - 271*g**2*t**2 + 4*g**2 - 214*g*t + 19*t wrt t?\nAnswer: -32*b*g + 6*b - 542*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/98 - 47\/196. Let g be ((-1)\/(-3))\/(37\/(-6)). Which is the fourth biggest value? (a) g (b) -6\/7 (c) 1\/4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-3185)\/1599) - 17.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 63, -444, -1, 15.\nAnswer: -444, -1, 0, 4, 15, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-162)\/2457)\/((-30)\/2800).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212520 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 8069 + 8069 - 6*x**2 + x**2 + 6*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*3)\/((-1*sqrt(72)*-5)\/sqrt(12)).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 926640\nAnswer: 1\/35640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337044 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8864 and -4.\nAnswer: 8860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-2 - (-2)\/4). Let q = -12 - -38. Let z = q + h. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -562 - -562.3. Suppose 2*l + k = 5 + 3, 4*l + k - 12 = 0. Put l, 4, g in decreasing order.\nAnswer: 4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2971\/352835?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -760 and 29.\nAnswer: -22040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*g**5 - 139*g**3 - 80350*g wrt g?\nAnswer: -3680*g**3 - 834*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69195.8 years to decades.\nAnswer: 6919.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*p - 160*p + 9 = 2*n, -4*p = 4*n - 16. Solve -j + 8 = n*y, 44*j - 42*j + 5*y - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85231222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.000147 + -82. Round r to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose -16*w - 161 = -33. What is the third biggest value in u, w, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 291?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. Let i = -128 + 205. What is the remainder when i is divided by (-1)\/3 - (-79)\/z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g + 458. What is the units digit of m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 4*y, 2*q + 0 = -2*y - 2. Let x be (-2)\/(y + -1) - 145\/(-45). Let f = x - 125\/36. What is the closest to -1\/4 in -0.1, 2, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvbvbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 4*y**2 - 74 - y + 141 - 70 as z + s*y**2 + x*y**3 + b*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 299. Let u = q + 177. Solve -j - 14 = -4*p + j, 4*p = 5*j + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -4*q - 3*u, -5*q + 2*u - 11 = 0. What is the units digit of 43 - q*(1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.5. Let l = -1.99 + -0.01. Let k = l + 1.9. Which is the closest to k? (a) -0.2 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2769*c**2*i**3 + 17996*c**2*i**2 + 4*c*i**3 + 57*i**3 - 292*i**2 wrt i?\nAnswer: -16614*c**2 + 24*c + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 3, f: 1, p: 6}. What is prob of sequence nfn?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 466.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2059, 1883, 1707, 1531, 1355?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35930337571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2\/7, -1.2, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 - 91. Differentiate 0*g**3 - 2*g**z + 23*g**4 + g**3 + g**3 - 12 wrt g.\nAnswer: 92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(2\/4 + -1). Let l = -13 - -23. Suppose 3*y - m - 6 = 0, y + m - 4*m = l. Sort 0, y, k in descending order.\nAnswer: k, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(-10))\/((-27)\/36). Let z(n) = 19*n - 9. Let u(o) = 9*o - 4. Calculate w*z(s) + 13*u(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4802*b - 1305*b + 238476 = -118218 for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 450, 702, 954, 1206, 1458?\n\"Answer: 252*d + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 258*0.0424\nAnswer: 10.9392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 14*z**6\/3 - 19*z**2\/2 - 11. Find the second derivative of t(r) wrt r.\nAnswer: 560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(1100) + -1)*3)**2.\nAnswer: 9903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231161591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 2*h**3 + 3568*h - 3568*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48323534, -96647066, -144970598, -193294130?\nAnswer: -241617662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-243)\/567)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*m**2 + 50*i**3*m - i**3 - i*m**3 + 71*m**4 wrt m?\nAnswer: -2*i**3 - 6*i*m + 852*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**3 + 3*m**2 - 3*m + 3. Let l = 1139 + -1140. Let t(h) = -h**3 + h**2 - h + 1. What is l*q(v) + 3*t(v)?\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13010776 * 5\nAnswer: -65053880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20351 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {e: 16, i: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -126.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((18\/(-6) - -8) + -6108). What is s rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3014808779 to the nearest integer?\nAnswer: 54907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 26. Suppose 0 = p - 5 - i. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356 = 4*b - k, -5*k = -2*b - k + 692. Let m be -127 - (0 - (2 + -2)). Let u = b + m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*m + 54 - 23 - 85*m to the form k + p*m and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 40 + (-2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110208\/(-2870)*(-4)\/96.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (4 - 2)) + 5. Suppose -2 = 5*z + u. Let n be (2 + z)\/(2\/4). Solve 2*k - k = -n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*l + 169 + 127 + 251 - 126.\nAnswer: 137*l + 421","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407342849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-630)*-526 + 6 + 1\/(-9).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-434)*-12 + 1. Let o = y - 1983\/434. Find the common denominator of -47\/6 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366144801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -79, 5.\nAnswer: -79, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 50 = 0. Let s be 36\/(-2)*c\/(-15). Suppose 90 = 3*p + s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -83. Suppose 5*s + 3*q = 109, m*s + q = s + 103. Solve 0*f = 4*f + s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -817 - -579. Let b = 433 + u. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3*u + 107, 1420 - 1878 = -4*p + 3*u for p.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4674)\/8979)\/((-6)\/438)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -3*q**4\/2 + q**3\/6 - 1731*q**2 + 2. Let k = -4 + 5. Give o(k).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.4 - 152.3. Let p = -214 - s. Let o = p + 37. Which is the smallest value? (a) o (b) 0 (c) 2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-25080)*266\/(-336).\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1075*l + 460*l + 4244 = 446*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 54. Let x = 14 + z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 1\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 109*h - 7. Let i(k) = 8*k - 10. Let x(j) = -63*j + 78. Let f(y) = 39*i(y) + 5*x(y). What is c(f(o))?\nAnswer: -18*o**2 + 327*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 3. Let p be q(-10). Let v = p - -11. Let r(g) = 2*g**3 + 2*g**2 + 2*g + 2. Determine r(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42798 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3945 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let h = -177 - -183. Determine o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 317 + 6*i - 313 - 5*i**2 + 638. Calculate z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3682 + 3686. Let q = -0.1 - -3.1. Let g = q - -3. What is the nearest to 0 in s, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4433, -4330, -4227, -4124?\n\"Answer: 103*x - 4536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*((-24)\/10)\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11012220330001 - 3?\nAnswer: -11012220330010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2. Let d be v(13). Suppose -6*g + 10*g - d = 0. Suppose -3*j = 5*i - 53, -g*i = -7*i + 2*j + 21. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(20)*-5.\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l**2 + l. What are the prime factors of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/15 + z**4\/24 - 25*z**2. Let g be -2 - -4 - (0 - -3). Calculate r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -1342 - 190. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = -3*m - 11. Let t = m - 236. What are the prime factors of (t\/6)\/4*-6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/3 (c) 0.02 (d) 456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3591118 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 30*k**2 - 212*k + 35. Let w be v(-12). Let q(j) = j**2 + 11*j - 30. What is q(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**3 - 2*t**2 + 7*t - 362. Let a(m) = m**3 - 2*m**2 + m - 16. Let r(g) = -6*a(g) + j(g). What is the first derivative of r(p) wrt p?\nAnswer: 33*p**2 + 20*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 2*x**2 + 554278 - 1108561 + 554283 - 3*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-476)*-2*(-9)\/(-63)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -67 (b) -5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from nlnnnlllll?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4956 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 9*r = -8. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 5) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**3\/3 - 7*h**2\/2 - 17*h - 563. Determine a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 1\/5, -9\/4, 28\/57?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + 3*y**2 + 9*y - 4. Let n be d(-6). Let g = 42 - 29. Calculate the highest common factor of n and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29689 (base 12) to base 11.\nAnswer: -3a631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 2.23075.\nAnswer: -0.0669225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1513541 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/12 - 2*d. Let w(u) be the third derivative of 0*u + 0 + 0*u**3 + 1\/12*u**4 - 15*u**2. Determine w(f(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 6*o. Let g be q(0). Suppose -4*t - 84 = -g*t + 2*k, -5*k - 12 = t. Put 0, 3, t in ascending order.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, x: 2}. What is prob of picking 4 z?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -300002 in -0.5, -2, 10, 2\/3, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 41. Suppose r - 4 - d = 0. What is the highest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1\/240*c**6 + 0*c**4 + 0*c**3 - 9\/2*c**2 - 12 + 1\/120*c**5 + 0*c. Let d(n) be the second derivative of i(n). Factor d(j).\nAnswer: j**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -710 at most as big as -715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 104 + 56 + 442*x.\nAnswer: 442*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 74\/5 of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 176 = -12*h. Let r be h - 4 - (-7 - -11). Solve 2\/5*m**4 + r*m**2 - 2\/5*m**5 + 0*m**3 + 0*m + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691974167 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/1440 + 3*s**5\/160 + 23*s**3 - 2*s**2 - 5*s. Let g(l) be the first derivative of n(l). Find f, given that g(f) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, e: 10}. What is prob of sequence eekk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41958444 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 599, 1342, 2379, 3710, 5335?\nAnswer: 7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-16)*46\/207.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1061\/75 + 362\/25. Let v = -0.3 - -0.2. Sort v, -3, 0.1, d in descending order.\nAnswer: d, 0.1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3\/5 + 11077872*b**2\/5 + 1533950719488*b - 276125486616576\/5 = 0.\nAnswer: -1384752, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*m + 3*c, m + c + 0*c = 2. Suppose -2*g + 6 = -0*g. Let i(a) = -5*a**2. Let v be i(-1). Sort g, 5, m, v in ascending order.\nAnswer: v, m, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -1.47\nAnswer: -24.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:03 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1263113, 2526212, 3789311?\n\"Answer: 1263099*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-444889)\/(-4495) + -99)\/(2\/(-5))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:15 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 0*z**2 + 0*z**2 + (-2 + 8 + 3)*(z**2 - z**3 - z**2) + 2*z**3 + 0*z**3 - 3*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 14) in base 3?\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*x - 19*x. Suppose -2*v + 6 = 0, x*m = m + 5*v - 19. Suppose w + m = 5*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.3, 3, -8, -1\/9, -1316?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3505, 3502, 3499, 3496, 3493?\nAnswer: 3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/2 (c) 5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.8, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 20*m**2 - 9*m**2 - 12*m**2 - 12. Let v(n) = -7*n**2. Calculate v(d(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213187, 213182, 213175, 213166, 213155, 213142?\nAnswer: 213127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9286360\/9 or 1031817?\nAnswer: 9286360\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 - 211111?\nAnswer: -220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1977, -2023, -2061, -2091, -2113?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9586 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**8\/2100 + a**7\/525 - a**6\/150 + a**3\/3 - 53*a**2\/2 + 57*a. Let h(y) be the second derivative of t(y). Factor h(f).\nAnswer: 4*f**2*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 + (-2)\/1. Suppose 2*u - 3*q = -h*u - 11, q + 1 = 3*u. What is the highest common factor of u and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-1*(sqrt(24) + sqrt(6)))\/(-4*(sqrt(2) + -2*sqrt(2)))).\nAnswer: -10 - 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*h - 4*c, 55*h - 60*h = -c - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u - 26, -u - m = -36 + 14. Let n = 52 - u. Let t = n - 10. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20826375 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12 + 6*t + 102 - 128 - 5*t**2. Let h(z) = 11*z**2 - 13*z + 29. Give 6*h(w) + 13*u(w).\nAnswer: w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:49 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 7*n - 2. Let j be q(6). Let d(m) = 2*m**3 - 2*m**2 + 3*m. Let y be d(2). Suppose -2 = 4*k - 22, 4*k - y = 3*r. Solve j + r = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:16 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 274317805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = 4*m - 5*l + 298, -l = 5. Let y be (-16)\/(-4) - m*(-4)\/238. Is y at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -150418 and 0.2?\nAnswer: -30083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5.4779258, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-2*sqrt(6)) + sqrt(175) + 0 + sqrt(175) + 5*sqrt(63) + (sqrt(28)\/sqrt(4))**2 + -3.\nAnswer: 4 + 49*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 28*a - 396. Let y = a + -99. Solve -d + y*d = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941053 is divided by 58813?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*z + 4*n - 16, 6 = -z + 2*n. Let w(a) = a**3. Suppose 18 - 54 = 2*x. Let l(t) = -10*t**3. Determine x*w(f) + z*l(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (69 - 62)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(450) + -2*sqrt(450) + sqrt(450))\/sqrt(10) + sqrt(45))\/(sqrt(108)\/(-1*sqrt(12))) + -3*(sqrt(200)\/sqrt(4)*-1)\/sqrt(10).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 4*z - 70 + 64, -l - 25*z = -23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21394?\nAnswer: 2, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:59 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2. Let g be (10 - (-1776)\/(-176)) + 147622\/22. Let y(n) = g*n**2 - 4 - 1 - 6723*n**2 + 5. Determine y(q(l)).\nAnswer: -325*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0 - 91\/6*c**4 - 16\/7*c**8 + 0*c**6 - 76*c + 0*c**7 + 0*c**5 + 0*c**2 + 0*c**3. Find the third derivative of l(a) wrt a.\nAnswer: -15360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2*-6 - 6*(sqrt(66) - sqrt(66)*1))\/(sqrt(48)\/(sqrt(32)\/sqrt(4))*-6))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336430 is divided by 1058?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/12 - 2*z**3 + 9*z**2\/2 - 5*z. What is the remainder when d(-11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252\/445 + 3\/89. Let q = 10.4 - 11. Let z = q - -0.1. What is the biggest value in 5, z, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.94 + 0.1802. What is q rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004407402 to 6 decimal places.\nAnswer: 0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-16 - -21) - -39.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*y - 6, 3*y = 5*n + 4 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3*x**3 - 4 + 203*x + x**3 - 196*x to the form r*x**2 + l + n*x**3 + i*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 17*t**2 + 8*t + 12. Let w be s(9). Factor -1\/4*j**4 + 1\/4*j + 1\/4*j**2 + 0 - 1\/4*j**w.\nAnswer: -j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156.03 - -156. What is the fourth biggest value in 5, p, -45, 2\/9?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 59879*z**2 + 59856*z**2 - 119695*z**2. Let u(h) = -53*h. What is u(i(w))?\nAnswer: -2120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-28)\/(v\/(v*v*v*v**(-21))))\/(v**(-1\/9)*v*v\/(v*v\/(v\/(v\/v**(-7\/2))*v)*v)) assuming v is positive.\nAnswer: v**(-781\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.04, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u**2 - u + 17. What is the remainder when 229 is divided by z(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/33 - 37\/66. Let v = -19\/8 + 13\/8. What is the smallest value in 0.4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653 divided by 43?\nAnswer: 5653\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762000 rounded to the nearest ten thousand?\nAnswer: 1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 381*r + 533*r + 2)*(-4 + 3 - 1)*(2 - 2 - 4).\nAnswer: 7312*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111220403 (base 5) in base 9?\nAnswer: 4536041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.1568?\nAnswer: 3.1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/7 and 20\/4137.\nAnswer: 4137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 200?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p)*(p**3 - 5 + 5)*(0 - 3 + 0)*(0 + 1 + 1).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g**(-2\/31)\/g*g*(g**(-1))**(1\/16))**(-10\/7) assuming g is positive.\nAnswer: g**(-14565\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t = 42*t - 5*t - 828 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 2. Let z be j(-5). Let v = z - -42. Is -1*1*(-182)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q*q)**(1\/7)\/(((q\/((q*(((q*q\/(q\/(q*q\/(q*q**1))))\/q)\/q)\/q)\/q))\/q)\/q*q)**(-1\/10))**18 assuming q is positive.\nAnswer: q**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -219. Suppose -2*n - 9 = 1. Put n, -7, m in increasing order.\nAnswer: -7, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 3. Let j be b(0). Factor 4*w**5 - 16*w + 184*w**4 + 148*w - 116*w**4 - 30*w + 52 + 110*w + 232*w**j + 328*w**2.\nAnswer: 4*(w + 1)**4*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29894*w + 720 - 720 + 3179*w.\nAnswer: -26715*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(147) + sqrt(147) + 1)**2.\nAnswer: 84*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4461, -2, 0.3, 1, 0.4, 5, 0.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.92963 rounded to 2 decimal places?\nAnswer: 15.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 80*k + 3. Let y = -32 + 31. Let x be f(y). Let q = x + 151. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13583298*n*t**2 - 8244010*n*t wrt t?\nAnswer: 27166596*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970555?\nAnswer: 5, 389, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 11*o + 29. Let x be v(-7). Is x >= -6\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g. Let m(z) = 15*z - 1. Let q(x) = -3*m(x) - 2*w(x). Let j be q(-6). Let y = j + -58. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.83? (a) -1.1 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 7*v + 7. Let a be r(-3). Let h(g) = -4*g - 66 + g**3 - a*g**2 + 37 - 4*g - 9*g. Is h(23) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2827 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:23 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52056 + 78392. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 17}. Give prob of picking 2 g.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.87 - -0.13. Let j = 7.4 + -2.5. Let n = j - h. Which is the second biggest value? (a) -0.3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1024*f**3*r*z**2 - f**3*z**2 - 2*f**2*r*z + 11*f*z**2 - 3*r*z**2 wrt f?\nAnswer: -6144*r*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04738*-0.0135.\nAnswer: 0.00063963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131655241 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: Let b(r) = 9*r + 19. Let x(v) = -10 - 3*v + 10*v - 12*v. Let f(k) = -4*b(k) - 7*x(k). Give f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 252 = 24*l. Let q be (l\/(-9))\/(-1*2\/267). Is (-1 - q)\/(6 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a - 2)*(-1 - a + 1) - 2*a**2 + a**2 - a**2 + a**2 + 3*a**2 - 5*a**2 + (-2*a - 15*a - 3*a)*(-4*a + 2*a + 0*a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255*(((-90)\/15)\/6)\/5*1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -50. Suppose 2 = t + 4*w - w, -3*t + u = w. Let h = t - -7. Solve 6*q - 2*q - h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-514)\/(-3) - -1)\/(20\/360)?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 59, 4, -3 in decreasing order.\nAnswer: 59, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-52))\/((-221)\/1326).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603993 is divided by 75481?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 52. Let q = -155 + 162. Suppose -q*i + 18 + 45 = 0. Calculate the remainder when m is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:07 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*u**4 - 2 + (-2*u**2 - 2*u**2 + 2*u**2)*(0*u + 0*u - 3*u**2) + u**4 + 2*u**4 - 5*u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-25))\/((-11)\/5). Let t = -49 - -54. Suppose v - 4*v - 5*x = 13, 2*v - t*x = 8. Is o at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 3.1349.\nAnswer: 4.38886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5\/5 - 20994*v**4\/5 + 54147566*v**3\/5 + 4984957986*v**2\/5 + 4930789424*v\/5 = 0?\nAnswer: -88, -1, 0, 5293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032801092 rounded to seven decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1539) + -1) - (6*3*sqrt(1539))**2.\nAnswer: -498632 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34144422 - 53?\nAnswer: 34144347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 plus 880971?\nAnswer: 880971.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1470 and 42.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 + 30889 = -3*l. Is ((-3)\/(-9))\/((-5)\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from myyymmmmyyymmyammmmm.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -30685582 to the nearest 100000.\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 16785252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 57, 214, 517, 1014, 1753, 2782, 4149?\nAnswer: 5902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)*(3 - -9). Let d = -10 - j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41921 and 232397.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b - 88. Give q(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 80 = 96. What is the remainder when 12 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 13440?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 535*m**5 + m**4 + m**3 + 551*m**2 + 3.\nAnswer: 32100*m**2 + 24*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a541452 + 4?\nAnswer: -4a54144b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0454 + 0.5454. Put -3, t, 1\/12, -0.2 in ascending order.\nAnswer: -3, -0.2, 1\/12, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-8 + -1)) + -28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310416 - t - 155200 - 155216.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-5))\/((-57)\/285)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 3.4. What is the third smallest value in -3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 7, f: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o**4 - 4232594*o**3 + 13302186*o**2\/5 + 6893082*o\/5 - 870696 = 0. Calculate o.\nAnswer: -4\/7, 3\/5, 60465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*p + 61, -4*p + 18 + 149 = 3*d. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 28 = -2*j, 5*c = 3*j - 31 - 6. Let p(i) = i + 18. Let w be p(-18). Put c, w, -4 in decreasing order.\nAnswer: w, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/33))\/(m**(-4\/3)*m))**(-3\/4) assuming m is positive.\nAnswer: m**(-75\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 - 406*a + 2032\/5 = 0. Calculate a.\nAnswer: -1016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -51, -0.4, 1\/54, 1\/1030?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 1*(1 - 2). Solve -6 + 31 = -k*b, -3*j - 37 = 5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 74 + 10*r)*(8*r + 35*r - 120*r).\nAnswer: -770*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-1 + 1 - 5*z)*(0 - 1 - 1)*(-4*z**4 + 2*z**4 - z**4).\nAnswer: 60*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-77)*-1*-2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 11*i - 5. What are the prime factors of y(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2558, -10171, -22856, -40619, -63466, -91403, -124436, -162571?\n\"Answer: -s**3 - 2530*s**2 - 16*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -770\/3, 623\/6, 0.5?\nAnswer: -770\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 798\/20 + 45\/450. Let h(s) = s**3 + 3*s**2 - 3*s + 8. Let i be h(-4). Solve -i*o = -4*y - 40, -4*y - d = -3*o + y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1382.\nAnswer: 2\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = -2*x. What is the first derivative of x - 7*r + 7*r - 5*r wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-43 - -11) - 19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0136694 and 1.9?\nAnswer: 0.02597186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 - 11 = 0. Suppose -g = -23 + 14. Calculate the least common multiple of g and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = w + 175, 3*w + r = -w - 700. Let q = w - -181. Calculate the remainder when 12 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 5. Let j be p(-4). Let k = j + -5. Sort k, 3\/7, -5 in decreasing order.\nAnswer: 3\/7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-5 + sqrt(125) + 0)*6)**2.\nAnswer: 364500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*(v*v*v*v**(-1\/4)*v*v*v)\/v)\/v)**(-1\/28)\/(v\/(v*v\/v**(-1)*v*v))**(-46))**(-3\/5) assuming v is positive.\nAnswer: v**(61893\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -466 (base 11) in base 13?\nAnswer: -33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 65*d - 2. Calculate v(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14\/15 - 52\/45. Let z = 6.4 + -6. What is the third smallest value in l, 4\/5, z?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/999*2\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -453\/7 + 65. Let v = 3.66 + -3.86. Which is the closest to v? (a) p (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 22*i - 53. Let v be y(-12). Suppose -v = -k - 9. Calculate the remainder when k is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -7*l**2 + 0*l**3 + 6 - 7\/2*l**4 + 0*l. What is the second derivative of h(p) wrt p?\nAnswer: -84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 15, -1.\nAnswer: -18, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/480 and -113\/466896.\nAnswer: 4668960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:27 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 1}. What is prob of picking 1 o and 2 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/241, -107, 2?\nAnswer: 4\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 107. Let h(u) = 845*u - 1. Calculate n(h(w)).\nAnswer: -845*w - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.122, 457\/12, -2\/15 in ascending order.\nAnswer: -1.122, -2\/15, 457\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/7953 and -74\/5061.\nAnswer: 55671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110.0132 + 110. What is c rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k**5 + 0*k**3 + k**2 + 0*k**4 + 0*k + 1\/2*k**6 + 2. Find the second derivative of n(q) wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*p**2*s**4 - 126*p**2*s + 2*p*s**5 + p*s wrt s.\nAnswer: 1020*p**2*s**2 + 40*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324 - 317.052. Let s = u - -0.052. Let y = -6.9999948 + s. Round y to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -808120 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 46*y**5\/5 + 7*y**4\/24 - 416*y**3 - 252*y**2 + y - 2. Differentiate w(v) with respect to v.\nAnswer: 1104*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/15 and ((-672)\/(-6))\/4*(-4)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/1)\/1 - (-2 + 1). Let r be -1 + s + 5 + 101. Is 100 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 + -11.2. Let r = 16.5 + x. Let n = 1.500072 - r. Round n to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 32 = 12. Let v be (3\/18)\/(s\/(-5)). Let r be 18\/6 + -6 + (2 - 2). Sort r, 5, -3\/2, v in increasing order.\nAnswer: r, -3\/2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(171)*2 - sqrt(171))*6)\/(sqrt(9) - sqrt(45)\/sqrt(5)*-5))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2389.4 + 2386. Which is the third smallest value? (a) 2 (b) j (c) -1\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 29. Suppose -4*h - h = -d. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = -3*u, 3*n + 2*u - 74 = 0. Suppose 3*x = 26 + n. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*g - 61 = -14, 0 = i - 2*g - 9. What is the remainder when 54 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 83*j - 1511. Determine h(-34).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - v - v - 6)*(v - 5*v - 252 + 254) to n*v**2 + r*v + w and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 21, 0.05, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/5))**22\/(i**(4\/7)*i**(-7)) assuming i is positive.\nAnswer: i**(1149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/5 + 102*u**4 - 21159*u**3\/5 - 8772*u**2 - 22188*u\/5 = 0?\nAnswer: -1, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 2957403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*a**2 + 15*a**2 - 1434 + 1434 - 9*a - 26*a**2.\nAnswer: -244*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -177*q. Let p(x) = 36*x**2. Calculate o(p(g)).\nAnswer: -6372*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 b when three letters picked without replacement from {c: 1, n: 1, y: 1, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = -z - z, -5*z = 2*c - 51. Suppose 53 = 2*t - 27. Let h = t - 23. What is the remainder when h is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-2 - 3) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0123465 rounded to 5 decimal places?\nAnswer: -0.01235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 6. Let r be x(-6). Let w = 3137\/15 - 209. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -173*i + 321*i - 65 + 238*i - 14 wrt i.\nAnswer: 386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 2\/7, -0.542, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 2. Let i(c) = 5*c + 3. Let w(t) = -3*a(t) - 2*i(t). Let s(f) = 7*f**2 + f. Give -2*s(p) - 2*w(p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*g - 5, -16 = 2*a + 2*a. Suppose 0*h + 10 = -g*h. Let r be 3\/h*2\/3. Let c(j) = 9*j**3 + j**2 - j - 1. Determine c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685081203.\nAnswer: 13, 2393, 54167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let b(w) be the second derivative of w**5\/4 + 17*w**4\/12 + w**3\/2 - 3*w**2 - w - 3. What is the remainder when m is divided by b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 8*z**2 - 9*z + 9. Suppose m + 3*v = -5, -14*v - 16 = -10*v. Calculate u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496536 and 2499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:56 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.62396 milligrams to grams.\nAnswer: 0.09362396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m - 2*m)*(2*m**2 - 6*m**2 + 3*m**2) + 4*m**3 + m - m - m**3 + 0*m**3 - m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:46 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-814)\/(-121)*11)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 29*k**2 - 30*k - 4. Let r be c(-30). Let y be (-62)\/(-15) + r\/30. Which is greater: y or -30?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 71*c - 1441. Is i(54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -154. Suppose 3*y - f = -y. Let n = 47 - 38. What is the highest common factor of n and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + -3. Let d = h - -13. Let l = -178\/399 + 1\/57. Which is the closest to -0.1? (a) -3 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114 - 37 - 50*d**2 + 57*d - 21 - 56 to q*d + l*d**2 + j and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68228*x**2 - x + 20721 wrt x?\nAnswer: 136456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -324.\nAnswer: -7\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*y + 1 - 11, y = -5*w + 30. Let m = y - 1. Let v(z) = 12*z**3 - 1. Is v(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -120, -218, -312, -402?\n\"Answer: 2*k**2 - 104*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3\/2 - 478953*l**2\/2 + 20366340*l = 0.\nAnswer: -159736, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-27) - (-4)\/(-6). Suppose 0 = m + g - 12. Calculate the smallest common multiple of m and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 21009*m - 21020*m + 3 to the form t + v*m and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 3736 + 1764 = 0. Let x = m + 957. Is x a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 22*k**2 + 44*k + 83. Let x be w(-20). Suppose 6*f - x*f - 23 = -5*b, 5*f - 2*b = 59. Solve c + 12 = f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1\/8))\/((q\/(q**6*q))\/q))**2*q**(-1\/3)\/(q**(-2\/3)*q)*(q*(q\/((q**(-2\/7)*q)\/q)*q)\/q)\/((q\/q**(-1\/5))\/q) assuming q is positive.\nAnswer: q**(8261\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 1. Let v be p(-9). Let g = 21 - v. Differentiate 26*c - g - 4 - 30*c with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + 2)) + 4 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20de (base 15) to base 16.\nAnswer: -1b2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49680 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 9, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*(-46495)\/(-85). Suppose -l + 66 = -2*m + y, 5 = -5*l. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*b + 8112 = -149*b - 3343 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 300707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -46*t**3 + 2*t**2 - 1. Let n be p(1). Let l = -93\/2 - n. Let x = -0.28 - 0.02. Sort -2\/5, x, l.\nAnswer: l, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(448) - (sqrt(448) + 0)) + sqrt(448) + 3.\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869379.\nAnswer: 1869379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1572, -9, 2, 18 in increasing order.\nAnswer: -9, 2, 4, 5, 18, 1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -972 + 972.1. Which is the biggest value? (a) x (b) 5 (c) 708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2021057*4.\nAnswer: 8084228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shllf. Give prob of picking 1 s and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*g + 29 = -41, -3*g - 332 = -5*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k - 2. Let o be g(-2). Let j be (30\/(-9))\/(8\/o). Find x such that -9*x**4 + 9*x + 6*x**2 - 8*x**3 - 5*x**3 - 4*x**5 + x**j + 3 + 7*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*n + 26*n + 1885 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93125.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741 + 1741 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.7 + -171. Let p = 14.3 + f. Which is the third smallest value? (a) -0.4 (b) 0 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 1423008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7746 and 71\/5970.\nAnswer: 7707270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*q + 41008 - 41350 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 484*f**4\/3 - 264*f**3 - 596*f**2 - 560*f\/3 - 16 = 0. What is f?\nAnswer: -1, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 + 605. Suppose -f - 4*w = -q, 5*f + w - 3099 = -960. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319*u**4 + 60*u**2 + 2*u wrt u.\nAnswer: 7656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/15 - 2*c**5\/5 + c**4\/5 + 4*c**3\/3 - c**2\/5 - 2*c - 603. Suppose r(z) = 0. Calculate z.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.412 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 37*a - 41*a - 2 to the form i*a + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - 2*w**3)*(-1 + 1 - w**2) + 18*w**5 + 9*w**5 + 0*w**5.\nAnswer: 29*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 26. Let l be z\/(-1)*(1053\/(-6) + 0). Suppose -6*a + 15*a = l. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7041, -28131, -63281, -112491, -175761, -253091?\n\"Answer: -7030*b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -42. Let u(d) be the first derivative of g - 1\/2*d**2 - 2*d. Differentiate u(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 343?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -56, -112, -166, -206, -220, -196?\n\"Answer: 2*d**3 - 17*d**2 - 9*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 55. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696578477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.911815 rounded to one dp?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(45\/(-66)) - 22\/55. Find the third derivative of 11*t**3 - 24*t**2 - 24*t**h + 7*t**4 - 10 - 11*t**3 + 8 wrt t.\nAnswer: -408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*n**4\/5 + 4566624*n**3 - 177236338*n**2\/5 - 8843676*n + 5799136\/5 = 0. What is n?\nAnswer: -181223, -1\/3, 2\/21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1924 = 2*u, -3*h + 0*h = 3*u - 2895. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 plus -3?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65704 and 88408?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - q + 43 = -29*y, 9*y = -6*q + q + 105 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (47 + -27 + -34 - (2 + -2 - 14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 - 8*v**3\/9 + 10*v**2\/9 - 4*v\/9.\nAnswer: 2*v*(v - 2)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2. Let w(z) = 25*z + 3. Let t(p) = 1554*p + 185. Let x(i) = -3*t(i) + 185*w(i). Give v(x(u)).\nAnswer: 10952*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3, 3*g + 3*q - 495 = 0. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/5 in -0.3, -5, -0.2, 0.1, -74\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -45*p + 2*f, -p - 6574 = -3*f - 6579 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289769681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421.159mg in tonnes?\nAnswer: 0.000003421159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -273948 - 157.51529\nAnswer: -274105.51529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (4 - 9))*(-10)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3.9, -2\/5, 1, 5, 7, 2291?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1896488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1745*t**5 + 20*t**4 + 327*t**3 + 118257564*t**2 wrt t.\nAnswer: 104700*t**2 + 480*t + 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 514.503869 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3073*v - 1971*v + 687*v + 3109 - 1395*v + 485 wrt v.\nAnswer: -5752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18804, 21617, 24430, 27243, 30056, 32869?\n\"Answer: 2813*h + 15991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.5 (b) 5\/4 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 0 + sqrt(832) + 3)*-3)**2.\nAnswer: 2304*sqrt(13) + 30528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301456?\nAnswer: 2, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63588\/9*((-9384)\/4830 - 14\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -641 - -686. Suppose -136 = -13*t - h. Solve -2*c + t*c - 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, f: 7}. Give prob of sequence ff.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8204 - 2*h**2 + 8204.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*h**5 + 28002*h**4 - 407295*h**3\/2 - 295755*h**2\/2 + 76908*h - 6912 = 0. Calculate h.\nAnswer: -1, 1\/8, 1\/4, 8, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -859859 and 4.\nAnswer: -3439436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35082, -33965, -32848, -31731?\nAnswer: -30614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 16. Let a be 24\/(-990) + -3 + 3. Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 136 = 4*q + 5*y, y = -3*q + 422. Let u = -249 + 267. Calculate the remainder when q is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 + (sqrt(17) - sqrt(68)) + -5.\nAnswer: -5 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4846.949 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(612))**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 10, 3*i = -5*j + 6*j + 176. Let l = j + 163. Solve -l*v - 7 = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/5)*m)\/m*(m*m**4\/m)\/m*m)**10\/((m\/m**0*m*m*m**(2\/7))\/(m**(1\/3)*m\/m**4)) assuming m is positive.\nAnswer: m**(883\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 - 14*i - 1. Let c be j(-7). What is the lowest common multiple of (78\/13)\/(1 - c) and (15\/(-9))\/((-1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - 7. Let c(v) be the third derivative of -v**5\/60 + v**3\/6 + v**2. Let d(w) = b(w) + 5*c(w). Calculate d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 446*z + 298. Let s be v(-148). Suppose -43\/4*d**s - 11\/4*d + 1 - 5\/2*d**3 = 0. Calculate d.\nAnswer: -4, -1\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -497\/22 or -23?\nAnswer: -497\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 24*w + 763 = -401 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2640 and 127\/23320.\nAnswer: 139920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**3 + 3*i**2 + 13*i + 7. Let j(r) = 5*r**3 + r**2 + 6*r + 3. Let p(z) = 4*c(z) - 9*j(z). Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 54 + 373 + 750 - p + 470 - 396.\nAnswer: 2*p + 1251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 11. Let j = -2 + -2. Sort t, 1, j.\nAnswer: t, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 11518 = 38950. What are the prime factors of k?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let t(d) = -u*d - 4 + 0 + 4*d + 1. Let c(b) = -2*b + 7. Determine -2*c(k) - 5*t(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuj when three letters picked without replacement from wnjirnuu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1187*h**3 + 23*h**2 + 4*h**2 + 1190*h**3 in the form x*h**3 + k + c*h**2 + n*h and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76665568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 111*z**3 - z**2 + 6*z - 10. Let y be p(3). What is the first derivative of y - 3041 - 16*n**3 - 11*n**3 wrt n?\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.71 - 1.71. What is the biggest value in o, -0.2, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3272 - 21?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*l + 2911 = 2306 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 3 + 40 - (-21 + 2 + 4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Suppose 24 = 3*n + g. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 461 + -441. Solve 5*g - 5 = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 170, 190884 in descending order.\nAnswer: 190884, 170, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, n: 2, y: 4}. What is prob of picking 1 x and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f**2. Let m(n) = 4*n**2. What is u(m(v))?\nAnswer: -272*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-6) + 16 + -11.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1956 divided by -6.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from teeeeeeeetddtewdde.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, i: 10}. What is prob of picking 3 i and 1 w?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 2, l: 7}. What is prob of sequence vv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-23)\/(1495\/91). Let n(j) = 2 + 4 + 5*j - 5. What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -519, -840, 1 in decreasing order.\nAnswer: 1, -519, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/78*-4*(-7 + 4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 55. Let z(t) = -6*t - 57. Let s(n) = -7*b(n) + 6*z(n). Calculate the remainder when s(17) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2935\/3 + 978. What is the fifth biggest value in -3, t, -1, -2, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4078163*g**5 + 8961*g + 67 wrt g?\nAnswer: 81563260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11021 (base 3) to base 12.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (955\/(-135) + 7)*(-6)\/4. Let j(y) be the third derivative of -t*y**3 + 0 + 0*y**4 + 1\/90*y**5 + y**2 + 0*y. Factor j(v).\nAnswer: 2*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23731140 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 22 = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 626819 to the nearest one thousand.\nAnswer: 627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1614000 = 54*j - 57*j. Round j to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 6223 = -6090 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*d**2 + 26*d - 12 + 5 - 1194*d**2 + 7.\nAnswer: -d**2 + 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 13 = -3*j, 238*a = 5*j + 242*a - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 67 + -1 + 2 + 18\/(-6). Let i = -63 + u. What is the highest common divisor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 13326*n**2 + 13329*n.\nAnswer: -3*n*(n - 1)*(n + 4443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/8 of a second?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6602.218, 0.01 in decreasing order.\nAnswer: 0.01, 0, -6602.218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, 2\/57, 12\/305 in decreasing order.\nAnswer: 4, 2, 12\/305, 2\/57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*a**3 + 3)*(0*a + 0*a - a) + (-a**3 + 3 - 3)*(-a + a - 2*a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33967062 + 17209062. What is m rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2850*p. Let i(u) = -14*u - 14. Give i(b(f)).\nAnswer: 39900*f - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*a - 11 = 125*a + 3*o, 0 = 3*a + 2*o - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 + -237. Calculate the lowest common multiple of 9 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - k**2 - 3*k + 3. Let x be v(2). Let d be x + 2 - (-3)\/(0 - 3). Is (-6785)\/(-10) + 1\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 - 148.95. Let q = t + 28. Is q at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -74. Let r = b + 26. Let p = 12 + r. What is the nearest to -2\/5 in p, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from ziiizzwwiiwiiizzw.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1834*c - 278779. Give t(152).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104476956 divided by -4\nAnswer: 26119239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 428*p + 6341. Determine i(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*b + 3*b + 2*b)*(77*b + 476 + 63*b - 138*b) + (0 - 2*b + 0)*(-2*b - 2 + 2) to the form v + q*b**2 + m*b and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 557600237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (24\/(-20))\/(-2) - 10\/(-25) and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155219967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1751998 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by -190800?\nAnswer: 49\/31800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1869 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:17 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from rmrrrrmrrrr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by 102890?\nAnswer: 137\/51445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55323721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 29680.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 755617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 727709\/369930 - 6\/12331. Find the common denominator of -7\/54 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100885 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: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3997*g + 1996*g + 869*g**4 + 2001*g + 359*g**2 wrt g?\nAnswer: 20856*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -4 in increasing order.\nAnswer: -15, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411981, -1411977, -1411973, -1411969, -1411965?\nAnswer: -1411961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/(-8) + 16. Solve -2*j + k = 3*j - o, 0 = -4*j - 4*o + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**2 - 5*y + 0 + 0*y**5 + 1\/30*y**6 + 0*y**4 + 0*y**3. Differentiate q(i) wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 749*t**6\/120 + t**5\/60 - 17*t**3\/6 + 11*t**2. Let n(w) be the first derivative of v(w). Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31608*r = -31326*r + 17484 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2887 - -2883. Put c, 5, 0.2, -6\/13 in ascending order.\nAnswer: c, -6\/13, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2, 4*t + 5 = 4*g + g. Let c(x) = x + 146. Let h be c(t). What is h rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccddc. What is prob of sequence cdc?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (22 + -8) - (69 + -69).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -1.8. Which is the third biggest value? (a) 0.1 (b) 3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675279 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-8))\/(-1) - (-7)\/(-14). Let z(p) = -p**2 - 5*p - 2. Let g be z(-3). Solve v = g*a - 2*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7305305 and 9392535?\nAnswer: 65747745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91834 is divided by 1094?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 30695*b - 92092. Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {b: 2, a: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-15)\/1)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -12, 0, -10.2, 3?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 1493.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*t - 70, 3*t = -u + 45 + 33. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 168 = 3*i. Let z = i - -38. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, 2, 183, 458, 827?\nAnswer: 1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*v**6 - 53*v**2 + 1?\nAnswer: -17520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*3)\/((-33)\/(-6)*516\/(-946)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:31 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6177 divided by -71?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c - 1675 = -5*o, -4*o + 2*c + 1332 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279 divided by 93\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 520 from 97447.\nAnswer: 96927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.24013192\nAnswer: -0.24013192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11843 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r**2 - 106*r + 106. Determine f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-29 - (-8 + -3)) - -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 478 - 538. What is the units digit of 4915\/3 + d\/(-90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {g: 1, k: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 20013223?\nAnswer: 20013311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 147*d**2 + 102*d - 347. What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -15 + (-4 - (-6 + (1 - -12))) - 20\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 933591251 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 165. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5252+-1641645.3\nAnswer: -1646897.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-32)*3)\/((-3)\/(-5))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/3 - 1768*k**3.\nAnswer: -k**3*(k + 5304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391553287, -391553288, -391553289?\nAnswer: -391553290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 55 = 4*y. Let q(x) = 14*x + 33. Let c(b) = 5*b + 11. Let r(i) = y*c(i) + 4*q(i). Give r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8523.\nAnswer: 2\/8523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -43. Let h = f - 38. Suppose 0 = 3*t - 2*d - 0 - 4, -d = 2. Which is the closest to t? (a) 1 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277226394509.99998353 - 277226392979. Let x = 1531 - u. Round x to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 29*m**5\/60 + m**2. Let w(v) = v**2 + 4*v - 1. Let g(s) = 5*s**2 + 16*s - 4. Let b(t) = -g(t) + 4*w(t). What is p(b(l))?\nAnswer: 29*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:13 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.682 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13357 (base 8) in base 9?\nAnswer: 8043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7482 and 31638884.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483717\/44 - -10995. What is the common denominator of 103\/20 and b?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - 20 + 20 + (0 + 3*m + 0)*(0 + 2*m + 0)*(-3 + 0 - 3))*(0*m**2 + m**2 - 2*m**2).\nAnswer: 41*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-8)*384\/(-320).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(6\/29)*(q**(-1\/2))**(3\/7) assuming q is positive.\nAnswer: q**(-3\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 9*g**2 - 8*g - 12. Let l be v(-8). Let z be -105 - l - (2 + -5). What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, 4, -0.04, 0.1, 5\/9.\nAnswer: -20, -2, -0.04, 0.1, 5\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 7 - (2 + 31\/(217\/182)). Let s(g) = 4*g + 62. What is s(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/15*(-30)\/(-24))\/(7\/(-28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 57*t - 243. Let u be i(4). Which is smaller: u or -8535?\nAnswer: -8535","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518 = 6*g - 4*m, g - 54 = 48*m - 52*m + 443 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 31781448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**2 + 491*m + 2111. What is a(64)?\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-2 + 738*k - 365*k - 259*k).\nAnswer: -228*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a**2 - 21*a - 7. Let i(f) = 1 - 1 + 16*f**2 + 4*f - 23*f**2 + 10*f**2 + 1. Let q(d) = -11*i(d) - 2*z(d). Factor q(p).\nAnswer: -(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/540 + 203*r**5\/270 + 850*r**4\/9 - 1156*r**3\/3 - 41*r**2 - 16*r. Factor k(h).\nAnswer: 2*(h - 1)*(h + 102)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -213 + 2\/(-3*6\/9). Let f = i - -220. Let n be ((-6)\/14)\/(15\/(-10)). What is the second smallest value in 4, n, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*444\/(-3150) - 12\/15.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*j - 66 = -a, 2*a = -3*j + 44. Let k = -33 - -96. Let i = 217 - k. What is the highest common factor of i and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024380118 rounded to 4 dps?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h*h**(-1))))\/h)**42*h*h**2*h**(-2) assuming h is positive.\nAnswer: h**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s**4 + 2*s**4 - 2*s**2 + 5*s**4 - 9*s**3 = 0. What is s?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 84*i + 4*i - 90*i + 36.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219237*w**3 - 246884*w**2 wrt w.\nAnswer: -1315422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/21 + 10\/21. Let j = -115\/2 + 56. Which is the third biggest value? (a) j (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/4, -1, -4, 0.929?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 5*s + 16. Let v be z(-2). Is 6\/((-1)\/(20\/v)) + 2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*t - 26*t + 28*t)*(0*t + 2*t - t) as z*t + u*t**2 + x and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -108*u**3 - u**2 + 3*u + 1. Give z(-1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 107, 154, 199, 242, 283?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 23*p**2 - 23*p + 87. Determine m(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209\/654 + -3\/218. Which is the nearest to 2? (a) 3 (b) -13.3 (c) -2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*s + 244*s + 145 - 184*s - 4*s**2 + 232*s + 169*s.\nAnswer: -(s - 145)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -2419, -5251, -9165, -14161?\nAnswer: -20239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5462759 and 51677?\nAnswer: 169345529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 3. Suppose 2*h = f*h - 5. Let t = 22 + -16. Solve -3*c + 21 = 5*w - 1, -h*w = -4*c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400331 is divided by 400312.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkgmggayagggkgkg. Give prob of picking 1 k, 1 m, and 1 a.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-19 - -3) + 27 - (-23 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -32737358707 and -876.\nAnswer: -32737359583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 119224.6 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 9*t + 7. Let j be k(-8). Let v(u) = 4*u**2 + 7*u**3 - 24 - u - 8*u**3 - 9 + 37. Let y(r) = -r**2 - 1. What is j*v(q) - 4*y(q)?\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-7)\/3)*(-6)\/(-9). Let m(g) = -3*g - 1. Calculate m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8617.082 nanograms to kilograms.\nAnswer: 0.000000008617082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 - -3049\/11. Let t be (1 + 2)*1\/3. Let p = t + -1. Are h and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00721 - 80?\nAnswer: -79.99279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*s + 29 = 4*o, -2*o + 4*s - 18 = 0. Which is the biggest value? (a) 0.4 (b) o (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*z + 397590 = -998994. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 11*b**2 + 7*b + 3. Let u = -811 - -806. Give d(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127\/4 - 32. Let v = 12 + -134. Let g = 121.6 + v. Which is the second smallest value? (a) g (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 45 - 4)*(b + 2*b + 0*b).\nAnswer: 114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t + 30. Let a(u) = -u**3 - 10*u**2 - 2*u + 7. Let h be a(t). Let s be h\/45 + (-6)\/10. Solve s*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 170642?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 583443*h**2 - 71312346*h + 2179069203.\nAnswer: 3*(441*h - 26951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -33, -82, -151, -240, -349?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 886546 times -1.16\nAnswer: -1028393.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29829 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -463?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1553113 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:45 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/((k\/k**(-1\/12))\/k))\/k*k*k\/k**(-2\/27) assuming k is positive.\nAnswer: k**(323\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.233884 times 3\nAnswer: -0.701652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:56 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbib when four letters picked without replacement from bbbbibbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 143*g**3 + 5*g**2 - 13*g + 50. Is w(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/((b\/((b\/(b**(-4\/5)\/b))\/b))\/b))\/(b**(-1)*b)**36*(b\/(b**2*b)*b**(-3\/10))\/(b**(-2\/7)\/b**5) assuming b is positive.\nAnswer: b**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = l - 5, 90*p + l = 92*p - 13. Let h = 11 - 19\/2. Factor -h - 3\/2*o + 3*o**2 + 3*o**p - 3\/2*o**4 - 3\/2*o**5.\nAnswer: -3*(o - 1)**2*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b. Let o = 17 + -21. Let r be -1 + (-2 - o - 0). Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-735)\/(-6762))\/((-5)\/2)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/57 and -167\/3840?\nAnswer: 72960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 2. Let c = x - -15. Let o = 1.486 + 0.514. What is the closest to -1.3 in c, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 164*j = -41852 + 2583. Which is bigger: 370 or j?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 66*h + 50 = 64*h, y + 24 = -4*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -47. What is the common denominator of (105\/(-150))\/(s\/7) and -91\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 38, 443*r - 437*r = -46*o - 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -3\/68 (c) 5\/3 (d) 0.9 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4 (c) 4 (d) -0.3 (e) -644 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484559, -479123, -473685, -468245, -462803?\nAnswer: -457359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 5, 680 in descending order.\nAnswer: 680, 161, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {w: 2, u: 5, h: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -50*h + 44*h. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*10*12\/(-8). Let p be 15*5\/l*1. Solve 0 = -2*f - 2*f + j + 20, 3*f = p*j + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2511, -2548, -2655, -2868, -3223, -3756?\n\"Answer: -6*l**3 + l**2 + 2*l - 2508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*k - 50, -4*k - 223 = 2*m - 251. Suppose 4*u - 3*b - 702 = u, 0 = -5*u + 4*b + 1172. Calculate the remainder when u is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + -0.1. Let a = 2.39 + -2.79. Sort m, 1\/4, a.\nAnswer: m, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 3\/2 (c) 2 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -b, 27 - 24 = -j - 5*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9685522*h**3 + 2443254*h?\nAnswer: -58113132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 5*f**3 - 7*f**3 + (10*f**3 - 16*f**3 + 10*f**3)*(0 - 2 + 4)*(1 - 2 + 2).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1312 + -1356. Sort 3\/8, -0.5, c in descending order.\nAnswer: 3\/8, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + -11.3. Let b = -7.3 - c. Let j = b - 5. Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 13*l**4\/12 - 2*l**3\/3 + 6*l**2. Let y be b(4). Let q = y - 54. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 16 = -15. Sort 7, 5, v, -6 in descending order.\nAnswer: 7, 5, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5, 24466501.\nAnswer: -5, -3, 2, 24466501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-6)*((-3648)\/77520)\/(1\/(-17))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:46 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 + 33*f**3\/2 + 35*f**2\/2 - 33*f\/2 - 17.\nAnswer: -(f - 34)*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*o**2 + 22*o**2 - 69*o**2)*(-7 + 1 + 4) in the form i*o + c*o**2 + z and give c.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5069415 decades?\nAnswer: 0.005069415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2198\/1413*3*-6 + 5\/(15\/27)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 5*v + 4. Suppose l + 1 = 6. Let x be i(l). Solve -3*b + 2*b = -x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)\/(13 - 12). Put u, -1\/7, 0, -0.3 in descending order.\nAnswer: u, 0, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7837230 and 1680.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/45956 and -27\/205.\nAnswer: 9420980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/3425 + -1010381\/6850. Let g = l - -12689\/86. What is the biggest value in -1, -4\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**4\/6 - l**3\/6 - l**2 - 26. Let g(w) = 2*w. Give g(c(v)).\nAnswer: 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*o - 2. Suppose o*b = 3*b + 2. Suppose 2*x = 5*l - b, 5*x - 2*l - 9 = -l. Solve -i - x*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/50 - 2*s**4\/5 + 7*s**3\/3 + 380*s. Factor q(h).\nAnswer: 2*h*(h - 7)*(h - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h**2\/h)\/h)\/h)\/h)\/h*h*h**(-2\/7)*h**6*h**(-8)\/h)**(-48))**33 assuming h is positive.\nAnswer: h**(58608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 16. Let u be y(20). Is u at most as big as -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:52 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 1. Suppose b + 8 = 3*r. Suppose 38 = r*d - 112. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 3 = -11*t, -3*t - 10 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008029 rounded to seven dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 465621497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 20\/(-24)*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34798538 and 133.\nAnswer: 243589766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -36092.\nAnswer: 1\/36092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*d - 13 - 4, 0 = -r + 5*d + 5. Let p be 4\/((r\/(-75))\/(2\/(-10))). Suppose 5*q + b = p*b + 445, -5*q + 445 = -b. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 6*y**2 + 6*y - 1. Suppose 5*j - 36 = -4*c, 7 = -5*j - c + 31. What is the least common multiple of j and g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -9\/8, -0.3, 0.1 in ascending order.\nAnswer: -9\/8, -0.3, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 348*(78\/416)\/(((-363)\/44)\/11)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n - n)*(0 - 1 - 1) + 4 - 4 - 4*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87.9 - 67. Let y = 20.926 - h. What is the closest to y in 1, -2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i*p*r*s - 2*i*p*s + i*r*s - i*s + 13*p*r*s + 33*p*s + r*s wrt i.\nAnswer: -7*p*r*s - 2*p*s + r*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Suppose 0*p - 17 = u + 3*p, 2*p = 5*u + 68. Let i = u - -23. Calculate the lowest common multiple of v and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Let c(x) = 3*x - 5. Let o be c(5). Let g = o - u. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Suppose 5*g + 6 = -i*f + 41, -4*f + 24 = 2*g. Find the third derivative of -2 - 22*c**g + 718*c**4 + 2 - 724*c**4 wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/172886, 0.2 in increasing order.\nAnswer: -1\/172886, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/114771 and -85\/10278?\nAnswer: 688626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {t: 7, u: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 59 = 17*x. Suppose 0 = 5*k - x - 5. What are the prime factors of 183 - 5 - 2 - k*2?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 787 (b) -1\/18 (c) 2 (d) -0.1 (e) -1\/6 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*l - 301*l - 70. Calculate the least common multiple of 90 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 9*a. Let m(v) = -13*v**2 - 18*v - 1. Let i(l) = -4*m(l) - 9*u(l). Let c(k) be the first derivative of i(k). Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*a = -6*a + 81, 4*a - 135 = -5*z. Let d = 42 - z. Solve -2*p - 3*p = -d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 731 = -712. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - 1 + 0 + 6*r**2)*(197*r + 127*r - 270*r).\nAnswer: 108*r**3 - 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 4, 3, -233, 2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 7*t + 4. Suppose h + 5 = -5*d, -3*d = 5*h - 1 + 4. Let p be (d\/(-1) - 1) + 6. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-4*4)\/4 - -2). Let u(d) = d**2 + 2*d - 2. Let r be u(-3). Let g be r + (-4 - h)\/3. Is 4\/5 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*y**3 + 40*y**3 + 456*y**3.\nAnswer: 1624*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = -4*u, -5*u - 17*z + 4 = -14*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12852449 at least as big as 12852435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37\/7 + 414\/77. Let x be 2\/3 - 3\/(-9). Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 114?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29508 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/170)\/(84\/(-16) - -6). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 60. Solve -3*j - 4 - 6 = 2*s, -2*j = 4*s + h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.37 and -1777.\nAnswer: -657.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g - 78 - 42 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1293 - 1291. Solve -3*y - 1 = -a*w, 4*y - 2*y - 2*w + 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11714363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1123.09 + 27.09. Let l = 1090.71 + v. What is l rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 41*a**5 + 15*a**2 - 3*a - 173. Find the second derivative of j(i) wrt i.\nAnswer: 2460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/16)\/(1\/(-4)). Let j = w - 13. Solve -j*t = t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuyyyyyyyuuyyoyyu. Give prob of sequence uy.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629994180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + b - 13065, -30*a + 35*a - b - 21783 = 0. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 20*x + 578. Let q be y(-36). Let r(j) = -8*j**3 + 2*j**2 + 7*j. Let n(w) = -w**3 + w. Let v(o) = -6*n(o) + r(o). What is v(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:54 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -15, 37, 27, -3 in decreasing order.\nAnswer: 37, 27, 8, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*v - 27077 = 20328 - 11011 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 93*h**2 + 101*h + 26. Does 13 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 9*u + 4. Let n be z(-9). Let c(t) be the first derivative of t**2 - 3*t - 3. Calculate c(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*u - 100, v + 3 = -u - 17. Let g = v + 23. Suppose 0 = -5*a + g*a + 6. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3680\/(-2484)*(-178)\/4 + 188\/2538?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2\/7*77.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 62*i - 30*i - 43*i - 119*i.\nAnswer: -288*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -1 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 109*y**5\/60 - y**4\/12 - 109*y**3\/2 - 393*y**2. Find the second derivative of j(t) wrt t.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 6*i + 4. Let r be m(-4). Solve v + w = -v - r, -8 = v + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*((-2)\/6)\/(15\/54). Let x be (-4 + (-69)\/(-6))*4\/p. Solve 0 = -x*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v**3\/9 - 46*v**2\/3 + 370*v\/9 - 28\/3 = 0 for v.\nAnswer: 1\/4, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1873774\nAnswer: 374754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 896, 919, 948, 989, 1048, 1131?\n\"Answer: c**3 - 3*c**2 + 25*c + 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -880 divided by -6.\nAnswer: 440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m - 1. Let z(i) = 169*i**2 + 16*i + 12. Determine -6*y(u) - z(u).\nAnswer: -181*u**2 - 4*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 174*k. Let w(q) = -3*q. What is c(w(p))?\nAnswer: -522*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(75) - ((sqrt(3) - (sqrt(24)*-2)\/sqrt(8)) + -2).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116405642 (base 7) to base 3.\nAnswer: -111212002211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*o - 3*o - 7, -3*n - 5*o = -1. Let p(b) = 3*b**2 - 3*b + 1. Let z(h) = h**2 - h + 1. Let j(s) = -p(s) + 2*z(s). Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:14 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -c - 1393 = 2*c - g, 5*g - 946 = 2*c. Let o = -459 - c. Solve y - 11 + 1 = -a*h, -4*h + o*y = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(-4 + (sqrt(1872) - ((-3 + sqrt(1872) - sqrt(1872)) + -5) - sqrt(1872)) + sqrt(1872)*-5 + 3))**2.\nAnswer: -120960*sqrt(13) + 6746256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114770 and 92920.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-2*sqrt(539) + 4)**2) + 4 + (sqrt(1331) + 2 + sqrt(1331))**2 + (sqrt(198)\/sqrt(6))\/sqrt(3).\nAnswer: 208*sqrt(11) + 3160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.5. Suppose o + 2*o = 0. Suppose o*b = -3*b. Put p, b, -1 in ascending order.\nAnswer: -1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + b**3 + 2*b**2 + (0 + 1 + 1)*(-3*b**2 + 3*b**2 - 1221*b**3 + 29565*b**3 + 28*b**3).\nAnswer: 56745*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 1, g: 1, h: 1, i: 2, x: 1}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 366361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 72, 61, 44, 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -5 - -1 - (3796 + -3807).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48\/144)\/(0 - (-1)\/13401)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -381. Is x - (-67609 + -6)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*s**3*v**2 + 4*q**3*s*v**3 + 2*q**3*s*v - 14*q*s**3*v**3 + 6*s**3 + 2*s**2*v wrt s.\nAnswer: -18*q**3*v**2 - 84*q*v**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27197 = -51*i + 127616. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*c**2 - 445*c**2 + 151*c**2.\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = -4*f - 13, f = -5*p + 1. Let q(s) = s**2 - 12*s + 22. Calculate the lowest common multiple of p and q(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 211, 210, 209, 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/16 + 4\/16. What is the nearest to -1 in y, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 31*k - 216. Let l be u(7). Let b be 6\/15 - (-23)\/5. Let n be 0\/l + (b - 2). Solve 0 = -n*i + 4*g - 1, i + g = 6*i - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5*x**2 + 132\/5*x - 4\/5*x**3 - 28 = 0 for x.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) 2\/9 (b) -5 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 837043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 2*k, 0 = 2*z - 3*k + 2*k + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 405\/(-18) - 3\/6. Let k = 12 - h. Calculate the remainder when k is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33)*-1*1716\/26\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71012412 divided by -4\nAnswer: -17753103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17591 - 17588 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.508 from 10.\nAnswer: 10.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07217 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(136\/24705) - 8. Suppose 0 = -2*a + 2106 - 8308. Let p = a - u. What is the common denominator of 9\/8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 divided by 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)\/(g*g**(-10\/7)\/g))\/(g\/((g*g\/g**(-1)*g)\/g*g)*g**(-4\/5)) assuming g is positive.\nAnswer: g**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -17 + (25 - (20 - 0))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1136 or 1137?\nAnswer: 1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/12749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 15 = -5*a, -40 = 5*a - 55 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80343 and 64069.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*j - 2 - 4 + 9.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 1696, 2546, 3400, 4258?\nAnswer: 5120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 7*u - 7. Let n(r) = -3*r**2 + 8*r + 8. Let g be (-4)\/((-16)\/(-12)*(-3)\/(-82)). Let a = 78 + g. Let s(m) = a*t(m) - 3*n(m). Determine s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3*m**2 + 0*m**2 + 2*m**2 + 2 - 3. Let k(d) = -5*d**2 + 2*d - 2. Let q = -6 + 10. Let l(n) = n + 4. Let r be l(-5). What is q*o(j) + r*k(j)?\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f - 190. What is l(-25)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 14 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.5 > -1001876\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 472.64 and -0.4.\nAnswer: 472.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 4\/15*r - 2\/15*r**2.\nAnswer: -2*(r - 3)*(r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -200. Calculate the remainder when q is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -72*i**5\/5 + 2*i**2 - 5*i - 72. Find the second derivative of n(u) wrt u.\nAnswer: -864*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*x - 1 = 0, 1 = -3*x - 2. Differentiate -6*v - o + 4 + 3 with respect to v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t. Let o(w) be the first derivative of 2*w**3\/3 - 3. What is o(v(u))?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 + 411 + 4 + -2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = u - 4*t, -5*u + 26 = t. Let m(h) = -4*h + 1 + u*h + 2*h + 0. What is m(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 6*d - 19. Let w be n(-8). Calculate the least common multiple of ((-48)\/32)\/((-3)\/58) + w and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:39 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1043 and 1323?\nAnswer: 197127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (61 - 35) - (10 + -3 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050968 rounded to three decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10948\/35 - 24\/(-20). Suppose -3*p = -4*a + 735, -3*a + 4*p + 867 = u. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 + 16*t - 35. Let j be b(3). Let m be (j\/10)\/(120\/(-300)). Calculate the highest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.1 + -20. Let q = j + -1.1. Let u = 984\/2435 - 2\/487. Which is the closest to -1\/3? (a) 0.5 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 8 = 4*q. List the prime factors of (1\/2)\/(q*1\/(-792)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 5 (c) 4 (d) -1066 (e) -0.221\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/21)*c**6*(c**(-1\/2)\/c)**(17\/2) assuming c is positive.\nAnswer: c**(-563\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1. Let d = 2.5 + 0.5. Let f = -3\/1330 + 7\/95. What is the nearest to w in d, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1\/4 (c) -1927\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 n when three letters picked without replacement from onxxoiiiiaxaiai.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766693 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6823 or -6830?\nAnswer: -6830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118168147, 118168146, 118168145, 118168144, 118168143, 118168142?\n\"Answer: -v + 118168148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttos when four letters picked without replacement from stsshshhhsohossotht.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1872, -3669, -5466, -7263, -9060?\n\"Answer: -1797*g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -6.1. Let p = -4.5 + 4.1. What is the smallest value in 3, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2608704.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34270*t + 34406*t - 10663 = -2231 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37318.98163 and 0.4?\nAnswer: 37318.58163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/15)\/(a**(3\/10)*a*a))\/(a\/a**12)**50)**47 assuming a is positive.\nAnswer: a**(772069\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -22. Let p be 30\/3 - (h + 4). Which is bigger: 9 or p?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30766140 divided by -11588?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from {r: 6, u: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 106 = 4*v, -3*r + 56 = v - 98. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 15 = 5*i - 6, -2*i - 2*c + 12 = 0. Suppose 2*u + 3*u = -i. Calculate the smallest common multiple of (1 - -9) + (-1 - u) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29894723 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*w - w - 3*d, 5*d = -w - 5. Suppose w = 29*c - 1187 - 10471. Is 37 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 17*g**2 + 109*g + 25. Determine p(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14520.66 and -237515.48.\nAnswer: -222994.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 37. Let q = -28 - m. Let c(f) = 5*f**2 - 7*f + 9. Is 5 a factor of c(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*j**2 + 274*j - 257*j**2 + 128*j + (j**2 + 6*j**2 + 4*j**2)*(-1 - 2 + 1)*(3 - 1 - 5) to x + a*j + o*j**2 and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 = -5*l, -2*l + 12 = r + 4. Let i be r\/(-2)*(-7 + 6). Calculate the greatest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))\/k)\/((k*k**(-1)\/k)\/k*k)*(k*k\/k**1)\/k**(-7) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*t. Suppose 7*o - 92 = 3*o - 4*f, -5*f = -10. Suppose 2*k + 5*k = o. Solve t = -k*h + h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8636*n**2 - 195*n + 4058*n**2 - 2 + 4576*n**2.\nAnswer: -2*n**2 - 195*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16*q*((q**(-3\/17)*q)\/q*q)\/q)\/(q\/(q\/q**(-1\/13)))**8 assuming q is positive.\nAnswer: q**(3854\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-162 - -164)\/(20\/2))\/(0 - 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 3*k = 9*i + 9, -i - 5 = -4*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -258046? (a) 3 (b) -1\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 16\/72 + 2 + (-4390)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-8)*1*4. Suppose 3*q - 15 = 3. Let y(m) = -q*m + 2 + 0 + z*m. Calculate y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let k = o - 8. Let d be (-4)\/(-3)*(-3)\/12. Which is the third smallest value? (a) d (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*i + 2667, 2*y + 4*i + 2108 = 6*y. Let o = 28 + 90. What is the greatest common divisor of y and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2903 rounded to 2 dps?\nAnswer: -5.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -r. What is the common denominator of (-2)\/6*-53 + 2 and r - (-4)\/(32\/174)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 3*m + 1. Let v(l) = -l**2 + l. Let y(p) = -s(p) + 5*v(p). Let q(f) = f**2 + 7*f - 5. Let c be q(-8). Determine y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*s - 580583 - 1194353. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1891*s. Let d(v) = v**2. Determine d(u(y)).\nAnswer: 3575881*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 9*m - 14. Let i(h) = -h**2 - 9*h - 13. Let w(a) = 3*i(a) - 2*s(a). Calculate the remainder when 9 is divided by w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-4 + (sqrt(7) + -2)*-5.\nAnswer: -25*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/79 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + ((sqrt(68) + 0)*2)**2 - (-1 + sqrt(68))**2*1)*2.\nAnswer: 12*sqrt(17) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + 808. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*m**3 - 97556*m**2 + 81813293*m?\nAnswer: -1560*m - 195112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16743865*46.\nAnswer: -770217790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = -k, -5*s + 3*k + 31 = 7*k. What is the highest common divisor of 342 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -685452*h**3 + 3935861560*h**2 + 65872208*h\/3 + 30624 = 0. What is h?\nAnswer: -2\/717, 5742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q. Let x(a) = 7*a + 0*a**3 + a**3 + 365*a**2 + 13 - 374*a**2. Let o be x(8). Let z(h) = 3*h - h + 3*h - 4*h. Determine o*p(c) - 24*z(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/104 + 46180\/26. Suppose -507 = -3*a - m. What is the common denominator of 2\/(-12)*a\/(-6) and -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5068\/9 + -563. What is the third smallest value in -2, -60, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -30240 - 16236. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86\/9 - 10. Sort m, -3, 0.1 in descending order.\nAnswer: 0.1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) + sqrt(567)*1)**2.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5699 - 5539. Calculate the highest common divisor of d and 1120.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 + 6*t. Let y be n(-6). Let h = 20.12 - -2.88. Let u = 8.7 + -8.5. What is the fourth smallest value in 5, u, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -w - 6*w. Let a be ((-5)\/2)\/((w - -1)\/(-28)). Differentiate 15*t + a - 5*t + 21 - 6 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.8204323 minutes?\nAnswer: 0.004041966875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24800 - 6853. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 1158*d**2 - 2*d + 1 - 1159*d**2 + 0*d to u*d + c*d**2 + v + m*d**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2435 - -105.8565. What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 43*l**3 - 21*l**2 + 12*l - 8. What is the thousands digit of r(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 26. Let o(g) = g**3 + 6*g**2 + 5*g + 8. Calculate the least common multiple of o(h) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from kggjgjjjxksjhxkxg?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -22, 31, 94, 161, 226?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 9:35 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/2 + 7*y**4 + 35*y**3 + 20*y**2 - 69*y\/2 - 27 = 0. Calculate y.\nAnswer: -3, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 146. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57 - 2610*z**2 - 97 - 405*z**3 - 1100*z - 80.\nAnswer: -5*(z + 6)*(9*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -8*j + y, -160 = -22*j + 4*y - 324 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4244.776 years to decades.\nAnswer: 424.4776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/9 - -1)*69\/46.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3512198996 + -104.107?\nAnswer: -3512199100.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 230044304 (base 5) in base 9?\nAnswer: 1822353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*x + 4, -2*q - 5*x = -10*x + 17. Which is the fourth biggest value? (a) -3 (b) 1 (c) -5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -1331, -2994, -5321, -8312, -11967?\nAnswer: -16286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173807939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.219974 + 0.22. Round i to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 11*z + 45, 770*w - 2*z = 767*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 1043*d**2 + 1092009*d\/2 - 2167362.\nAnswer: (d - 1041)**2*(d - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47008667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(8\/7)\/g)\/(g\/g**10))**(-2\/91) assuming g is positive.\nAnswer: g**(-128\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 1. Suppose 0 = 5*n - 8 - 7. What is the remainder when g is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 - -196. What is the remainder when c is divided by (600\/192)\/((-1)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/119 in -0.2, 16, -168, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559545, 2238535, 5036965, 8954835, 13992145?\nAnswer: 20148895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 76 (c) 16.9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -22. Let x be (-16)\/v + (5 - -3). Let z(m) = -x*m - 2*m**2 + 0*m + 0*m**2. Calculate z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.92 + -0.52. Put d, -1\/6, 62 in increasing order.\nAnswer: -1\/6, d, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -5*x**9\/252 + x**7\/210 + 9*x**5\/20 - 29*x**2 - 1. Find the third derivative of s(a) wrt a.\nAnswer: -1200*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/21 and -37\/24000?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(468) - (sqrt(468) + -1)) + -3 + 3 + sqrt(325) + -1))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**12*p)*p*p))**(-3\/23))**18 assuming p is positive.\nAnswer: p**(-648\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -45*k + 49*k, -k = 3*p + 4. Let t(d) be the third derivative of -1\/8*d**4 + 0*d**3 + 0 + 0*d + 15*d**k. What is t(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p\/p**(1\/4)))\/p)**(-14\/9)*(p**0\/p)**(-41) assuming p is positive.\nAnswer: p**(731\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/((-1)\/(-4)). Let h = v + 7. Suppose -48*k + 229 = -11. Solve -2*y = z - k, 5*z + 3*y - h*y + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -152.59136237 and -1.\nAnswer: -153.59136237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*w - 63, -4*d = 4*w - 0 - 108. Let q(i) = -i**3 - 9*i**2 + 7*i + 30. Let g be q(-10). What is the highest common factor of d and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -8*l**5\/3 - 2*l**4 + 16*l**3\/3 + 4*l**2 - 8*l\/3 - 2 = 0.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 21*b + 117. What is a(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6d561 (base 15) to base 2\nAnswer: 1010101001010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/(((z*z**(-8)\/z*z*z)\/z)\/z)*(z\/z**(5\/7))\/(z*z**(1\/9)) assuming z is positive.\nAnswer: z**(137\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 8:27 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2. Let w(k) = 606*k**2. Calculate d(w(c)).\nAnswer: 734472*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1770\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01508 to four dps.\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6632138 millilitres in litres?\nAnswer: 0.0006632138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11021, -22044, -33067, -44090, -55113, -66136?\nAnswer: -77159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1542*d - 1547*d - 14 = -4*j, -j + 16 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -359625, -359591, -359525, -359415, -359249?\n\"Answer: 2*r**3 + 4*r**2 + 8*r - 359639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -11?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.53 + -1.07. Let v = -13.5 - t. Sort 1\/3, -1.3, v in increasing order.\nAnswer: -1.3, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*n**4 + 14*n - 1641 with respect to n.\nAnswer: -224*n**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*m*n - 6*c*n + 40051*m*n - 2*n + 5254 wrt m.\nAnswer: c*n + 40051*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 256 = -5*j - g, 3*j - 2*g - 152 = 0. Let r be (-4)\/(-10) + j\/30. Find o, given that 0*o**r + 1\/5*o**4 - 1\/5*o**3 + 0 + 0*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let x = -0.13 - 5.87. Let w = 5 + x. Which is the second biggest value? (a) 5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v - 9. Let u = 2.41 - 2.31. Which is the closest to v? (a) -5 (b) u (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1454, -3789, -7672, -13103?\nAnswer: -20082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 4 (b) -342 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/156773 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:08 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607665024 to the power of 1\/2, to the nearest integer?\nAnswer: 67880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Let i be 2 + 6*2\/3. Suppose -o = o - i. Let s(m) = -5 - 10*m + o + 2. Give s(r(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 135 + 9*c - 31*c - 29*c.\nAnswer: -38*c - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18682 + -7107. Let v = l - 11575.06000064. Let i = -0.06 - v. What is i rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803 and 46939.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-6)\/24). Let 0*c**3 + 36*c**2 - 18*c**4 + j*c - 26*c**2 + 6*c**3 = 0. What is c?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 617.6 - 618. Let n be (((-10)\/6)\/5)\/3. Sort -1\/4, n, o in descending order.\nAnswer: n, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {v: 2, y: 5, i: 6, e: 1, x: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let c be s(1). Calculate the remainder when (9 + -10)*-1*c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 107. Let n(k) = -6*k**3 + 2*k**2 + 6*k - 1. Let h(s) = s**2 + s + 1. Let t(l) = b*h(l) - 3*n(l). Factor t(c).\nAnswer: 3*(c + 1)*(2*c - 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + q**4 + (17 + 4 - 2)*(-2*q**3 + 2*q**3 + 2*q**3)*(3*q - 3 + 3) + 0*q**4 + q**4 - 3*q**4.\nAnswer: 113*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3622367 and -0.4.\nAnswer: -3622367.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 2826850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000212573 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 10758*o**2 - 4278744*o = 0. Calculate o.\nAnswer: -5751, 0, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -8. Suppose -3 = -q*m + 3*m. Suppose -m*c - 1 + 4*c - c**2 - 3*c = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Let j = -2 + u. Let t = -0.26 + -0.04. What is the nearest to 0 in -0.5, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287558 - d + 287558.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r - 2*r**3 + 3*r - 2*r**2 + 7*r in the form p + o*r**3 + y*r**2 + l*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*h - 5 + 51 = 0, 4*l + 2*h = 58. What is the remainder when 52 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 + g. Let z be x(1). Put z, -5, -0.2 in increasing order.\nAnswer: -5, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18485 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 6 = 0. Solve -d + 3*f + 1 = 0, -5*d + 1 = w*f - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 1848 - 2409. Let d = n + 392. Solve 0 = 3*c - 6*c + 4*w + 8, -w = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 6*w - 278. What is the remainder when w is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 + 0*j**3 + 30*j - 4\/15*j**6 + 0*j**5 - 103\/2*j**2 + j**4. Differentiate b(r) wrt r.\nAnswer: -32*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3)\/(-15)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:49 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 10 (b) -3 (c) -22 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000044601761 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -892 divided by -4599.\nAnswer: 892\/4599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24100 (base 5) in base 14?\nAnswer: 90b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6051? (a) 1\/170 (b) -3 (c) -1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19cc (base 14) to base 16\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.232 * 17\nAnswer: -20.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10378, -10370, -10336, -10258, -10118, -9898, -9580?\n\"Answer: 3*u**3 - 5*u**2 + 2*u - 10378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-28 - -65)) + (-3 - -1 - -7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(-5 - (-346)\/(-2)). Let y = -353\/1068 - a. Let z = 1.1 + -0.1. Put 3\/5, z, -1, y in descending order.\nAnswer: z, 3\/5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*s + 4*q, 6 = -5*s + 17*q - 16*q. Solve -8 = -4*d - s*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - u - 3 = 3*u, 5*j = -2*u - 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.56 and 13.848?\nAnswer: 14.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 888812.7us?\nAnswer: 0.8888127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8\/(q**(1\/4)\/q)*(q*q**(-4\/5)\/q*q)\/q**7 assuming q is positive.\nAnswer: q**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:14 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.9 - 22. Let i = 0.2 + -0.7. Suppose -60 = 46*s - 58*s. Which is the closest to r? (a) 0 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t. Let p(b) = -3*b**3 - 2*b**2 - 2*b. Suppose -2*k + 2 = -k. Calculate k*y(d) - p(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -99b332?\nAnswer: 99b32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkq when four letters picked without replacement from kxkqkxqk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 1 x when three letters picked without replacement from {t: 1, b: 1, x: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -71. Let j be (-130)\/7 + 29\/(2639\/52). Sort 0, w, 2, j in decreasing order.\nAnswer: w, 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + y**2 + 4*y**3 + y**3 - y**3. Let l be c(1). Factor n**2 + l*n**3 - n**4 - 1\/2*n**5 + 0 + 1\/2*n.\nAnswer: -n*(n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c709c6 (base 13) to base 14.\nAnswer: 1c87400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from vvwvavaxaas?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100101011100110110011101001?\nAnswer: -100101011100110110011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/60 - b**4\/4 - 2*b**3\/3 - 42*b**2. Let u(k) = k**2 + k - 6. Let g be u(0). Determine d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 2859 = 2679. Calculate the highest common factor of v and 3789.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 601.9265 - -2772004.0735. Let o = 2772605.7580266 - y. Let i = o - -0.242. What is i rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**6 + 0*f**3 - 13\/6*f**7 + 0*f**2 - 2*f - 15\/4*f**4 - 58 + 1\/10*f**5. Find the third derivative of v(y) wrt y.\nAnswer: -5460*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = 492. Suppose -11*d + 1155 = -0*d. Let c = y - d. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(20))**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*r + 10, 3*s - 2*r + 16 = -s. Let d be 3 + (s - (-1108)\/(-8)). Let w = d + 143. Find the common denominator of w and -7\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-382)\/(-10) + (-1)\/5. Suppose 9 = i - j. Factor 3*x**3 - i*x + 47*x + x**2 + 2*x**4.\nAnswer: x**2*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 + 79920*v + 79922 = 0 for v.\nAnswer: -1, 39961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*s + 200 = 6*s, -k = s - 40. Let p = 64 - k. Suppose p*u - 6 = 25*u. Which is bigger: u or -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 5*q + 6. Let v be a(-5). Suppose 3*p = v*p - 4*p. Suppose 0 = -b - w + 100, b + 2*w = -p*w + 104. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 47)*3\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-1530)\/(-18))\/5)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 + -106.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/3 - 5*h**4\/3 + 8*h**3\/3 + 44*h**2\/3 - 32*h\/3 - 64\/3 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/18)\/((-2)\/(-3)). Let o = -38 - -26. Let a = o - -7. Sort a, 1\/4, l.\nAnswer: a, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - -2 - 1\/1). Suppose 0 = m*a - p - 69, -a + 1 + 20 = -5*p. Let t = a - 9. Calculate the highest common factor of 216 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -665, -802, -929, -1040, -1129, -1190, -1217?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -27*p + 702. Let d(j) = 5*j - 3. Give -a(s) - 5*d(s).\nAnswer: 2*s - 687","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 94*k + 14. What is the hundreds digit of w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.83 - 65.9. Let c = v + 187.97. Round c to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:37 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7104 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 + 11 - (11 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10498 to 3 decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 10*k. Let p be (-161)\/(-3) - 4\/(-12). Suppose -3*i + p = 3*i. Does 5 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5120 + 4256 = -48*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.06 + 0.94. What is the closest to v in 2, -1, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -126 in decreasing order.\nAnswer: -0.2, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1579*k**2*u**5 - k**2*u**2 + 377*k**2 - k*u**2 wrt u?\nAnswer: -94740*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52227\/(-30) - 24\/(-8). Let u = l + 1740. Calculate the common denominator of u and -47\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*p**3 + 12153*b*p**2 - 23115*b + p**3 wrt p?\nAnswer: 3*b*p**2 + 24306*b*p + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -52. Suppose -5*o - 6 = -z. Let j be 10\/3*o\/4. Calculate the greatest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5 less than 4416?\nAnswer: 4398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 12*n + 2. Let d be m(-11). Let p = d + 7. Let k(x) = 6*x**2 + 11*x. Let r(q) = q**2 + 2*q. What is p*k(h) + 11*r(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.2 minus 183?\nAnswer: 643.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + d + 9. Let m(u) = -3*u**2 - 4*u - 14. Let s(z) = -4*z**2 - 3*z - 14. Let r(k) = 2*m(k) - 3*s(k). Calculate 8*f(h) - 5*r(h).\nAnswer: 2*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l - 4\/3*l**3 - 3\/4*l**4 + l**2 + 5. Let o be h(1). Which is bigger: -17\/5 or o?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369 + 2550\/7. Suppose v + 2 = 3*s, -v - s - 8 = 2*s. Let j = k - v. Which is smaller: j or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k - 2*k + 20*k to the form a + x*k and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/39 - 12\/4)*(-12)\/(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t - 5*i = 75, -t - 2*i + 18 = 0. Suppose 4*z - 222 - 30 = 0. Calculate the remainder when z is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 12. Let o be (-81)\/3*z\/(-9). Suppose 2*h - 1 = -2*d + 5, -4*h = -d + o. Solve -5*m - 1 = -3*k, 2*m = -5*k + d*m + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**9\/756 + g**5\/40 + g**3\/6 + 3*g. Let j(n) be the second derivative of x(n). Find the second derivative of j(q) wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 174. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a6414 (base 12) to base 15.\nAnswer: -727e97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*k - 41*k + 510 = -35*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51523, 51525, 51521, 51505, 51471, 51413, 51325?\nAnswer: 51201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let k be ((-6)\/7)\/(2\/(-7)). Let u(i) = k*i**2 + 5*i - 5*i + 0*i**2. Give l(u(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 30. Suppose 12*m - n*m - 78 = 0. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 514015 + -4?\nAnswer: 514011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40\/9, 6, 3 in ascending order.\nAnswer: -5, -40\/9, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2\/15)*i*i*(i**(1\/9)\/i)\/i)\/(i*i\/(i*i*i**(-16\/3)\/i*i*i)*i\/((i\/(i*i\/i**(-1)))\/i)) assuming i is positive.\nAnswer: i**(-286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76785077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j. Let v = -12 + 8. Let h(t) = 1512060659 + 7*t - 1512060659. Give v*g(i) + 7*h(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3*z**6\/40 + z**4\/24 - 9*z**2\/2 + 8. Let t(r) be the second derivative of i(r). What is the second derivative of t(b) wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852*-1217.9\nAnswer: -1037650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, x: 1, y: 2, h: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -3*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpznoococcpciccccc. Give prob of picking 2 p and 2 o.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 224 - 89 = -5*c, -2*n - 337 = -5*c. Solve -v + c = 4*l + 74, 10 = 5*l - 3*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 10. Calculate p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -v + 6*v - 7, -c + 5*v + 11 = 0. Suppose -2 = 2*f - 4. Let g(b) = b + 1. Let k be g(f). Is k at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17822*p**5*x**2 - 7*p**5 + 54*p**2*x**2 - 3*p**2*x + p**2 - p*x**2 - 2 wrt p?\nAnswer: -1069320*p**2*x**2 - 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 5 = 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:48 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p - 7*p - 7*p - 12*p. Let v(r) = -r - 1. Let t(u) = -3*u - 6. Let y(w) = t(w) - 6*v(w). Calculate y(k(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y + 1. Let m(n) = n - 6. Let c be m(9). Suppose c*p + 1 = -4*q, 3*q + 4*p = -2*q - 1. What is the units digit of j(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 11*n + 14. Let l be q(10). Let c be l\/2 + 4 + -4. Factor -6\/7*m**c + 8\/7 + 0*m - 2\/7*m**3.\nAnswer: -2*(m - 1)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - (65 + -51 + -43)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*w**2 - 57*w**2 - 2 + 4)*(-2 - 4*w + 2) to v*w**3 + k + m*w + u*w**2 and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*n**3 - 613 - 12*n + 613 wrt n.\nAnswer: 372*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 4, -14, 0.8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, g: 1}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18945607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, s: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6424.395 + 6373. Let u = g - -51.4. Are u and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 12. Let p = 11\/237 + 809\/158. Find the common denominator of 446\/a - 4\/(-12) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 5. Let s(x) = 5*x + o - 3*x - 5*x - x. Let a(v) = -v + 1. Let f(q) = -q - 2. Let w be f(-5). What is w*a(m) - s(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681217192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - 27. Let b = 63.7 + r. What is the smallest value in -4, -0.1, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfv. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-3)\/c)))**(-6)*(c**(-2))**(-26\/9) assuming c is positive.\nAnswer: c**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 minutes before 8:58 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 5*k + h - 71 = 0, 3*h + g*h + 65 = 3*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -842 (base 9) to base 5\nAnswer: -10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l + 244. Let b(k) = -4*k - 49. Let q(t) = -11*b(t) - 2*m(t). Let z be q(-6). Solve -2*r = -4*h - 4, 2*r - 19 = z*r + 5*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -59*o + 1935. Determine s(34).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2086405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75852\/97 + -782. Let m = 208\/679 + h. Factor 0 + m*q - 6\/7*q**2 - 8\/7*q**3.\nAnswer: -2*q*(q + 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -12. Let d = 16 - 13. What are the prime factors of (-1)\/(1\/d) - s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose p*d = 15 + 5. Put -1, d, -17 in descending order.\nAnswer: d, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1) + (0 - 17). Let n = 30 + -34. Suppose -16*h + 11*h - 25 = 0. Put n, o, h in increasing order.\nAnswer: o, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3685 + -1717211\/466. Let f = 11534\/233 + s. Find the common denominator of f and -33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 w, and 1 v when four letters picked without replacement from {v: 2, w: 7, r: 7, t: 3, a: 1}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 + 2\/60. Let f = 4.0644 + -4.5644. Let r = -1.7 + 2. Which is the second biggest value? (a) q (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/24 - l**3\/6 + 15*l**2. Let u(b) = -12*b + 11. Let d(s) = 22*g(s) + 2*u(s). Let w(j) = -4 + 4 + j**2. Determine d(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23330*l = -23407*l - 5390 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 2887*f**2 - 3002*f**2 + 8963*f**2 + 1 - 2903*f**2 to the form c*f**2 + a*f**3 + d + q*f and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 196*r - 7. Let a(o) = -24*o + 146. Let k(f) = -12*f + 73. Let j(n) = -2*a(n) + 5*k(n). Let d be j(6). What is the units digit of z(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 + n + 1. Let r = 12 + -9. Let i(g) = g**3 - 2*g**2 + 2*g + 2. Calculate r*i(u) - 6*v(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 7*n**3\/6 + 85*n**2 + 4*n - 4. Give b(-27).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -100. Let h = y - -48. What is the units digit of h + 171\/(0 - 3\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67.81 + 2.12.\nAnswer: 69.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-5)\/200*10) - 12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8959446ml to litres.\nAnswer: 0.0008959446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**3 + 37*q**2 + 29*q + 4. Let v(d) = 4*d**3 + 11*d**2 + 10*d + 1. What is -2*p(y) + 7*v(y)?\nAnswer: 4*y**3 + 3*y**2 + 12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + (1 - 8 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - -0.5. Let s = l - 1. Which is the biggest value? (a) 1 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhahhssaashpsaa. What is prob of picking 2 h and 1 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3946.85 * 0.083.\nAnswer: -327.58855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -248*q - 1483. Let m be v(-6). Solve -m*t + 22 = 3*c, -c = -3*t + 6*t - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5062154 divided by -15.\nAnswer: 5062154\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/105 + 14*f**6\/75 - 21*f**5\/50 - 4*f**4\/3 + 44*f**3\/15 + 48*f**2\/5 - 3*f - 1781. Find y, given that a(y) = 0.\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by -6.\nAnswer: 382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2195 divided by -439.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17 - ((2 - 0) + 1). Let q be 4\/g + 38\/14. Suppose -80 = -q*d - d. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -402*s + 363 - 3168 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 43. Determine c(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/8))**14*i**9*i\/(i*i**(-10))*i assuming i is positive.\nAnswer: i**(185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22521.997461 - -22522. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a - a + 12*a.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a**(-7)*a**(1\/14)*a*a**(-2\/11))**(-11) assuming a is positive.\nAnswer: a**(-1215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 - t**4\/2 + 14*t**3\/3 - 64*t**2. What is the units digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46504477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, -15, -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1312*j - 5778. What is the hundreds digit of v(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 7601688*k + 3611603778084 = 0.\nAnswer: 950211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13736?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2033*w + 4069. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 3*z**2 - 5*z - 1. Suppose 42*y + 6 = 39*y. Let c(n) = 2*n**2 - 3*n - 18. Let o be c(y). Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m - 2. Let v be 2\/(-6) - 25\/15. Let i(f) = -f**3 + 2*f**2 + f + 4. Calculate the remainder when h(4) is divided by i(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707508797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 18*n - 40. Give l(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*v - 813*v - 133 = -395*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let w(n) = -701*n - 1. What is c(w(h))?\nAnswer: 1402*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 + 9*d - 15. What is g(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1287 - -2205. Does 27 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1228 from -1.1076203.\nAnswer: -1229.1076203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 5*p - 2. Suppose 9 = 6*v - 3*v. Let r be a(v). What is the derivative of r*l**3 + 22*l + 6 - 38*l + 16*l wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 3)*(0*s + 2*s - 4*s + (3 + 1 - 5)*(-s - 5*s - 4*s) + 4*s + 6*s - 5*s) as m*s + w and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -76. Suppose -c = -4*r + 29. 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: Let q(u) be the first derivative of -u**2 - 12. Let d(l) be the second derivative of -l**3\/3 - 4*l. Calculate q(d(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 8*i**3 - 16. Let w(q) = -q**2. Give g(w(f)).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70397, -70429, -70481, -70553, -70645, -70757?\nAnswer: -70889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 33*b**2 - 23*b - 22. Let c(d) = 2*d**3 - 20*d**2 + 14*d + 13. Determine -13*c(r) - 8*o(r).\nAnswer: -2*r**3 - 4*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 - 6*n - 11. Let c be (-3)\/4 - 35\/(-4). Let h be a(c). Suppose -m = -h, 6*y - 2*y + 4*m = 92. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:25 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 2*g - 2*g)*(-g + 2*g + g) + (88*g**4 - 6521 + 6521)*(0*g - 2*g + 4*g).\nAnswer: 172*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17*k**2 + 138*k + 127. Let d be n(-7). Let u(y) = y - 3. Let f be u(5). Let q(m) = -2 - 7*m + 3*m**f - 7*m**2 + 3*m**2. What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10710 divided by 1071\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and -95\/18534.\nAnswer: 18534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 3084206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 37 - 5323. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25 + 155*q - 155*q + q**3 wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.32 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55 + 47 - 94*r - 70 - 31*r wrt r.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*d + 21*d - 18*d as q*d + f and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:30 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -4, -1\/5, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 320\/176 + (-4)\/(-22). Solve 4*l - h - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -52.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39074 divided by 128?\nAnswer: 19537\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 5. Let q(y) be the third derivative of -3*y**2 - 1\/3*y**3 + 0*y + 0. Let d(b) = 3*b**3 + 4*b**2 - 10. Let z be d(0). Calculate z*q(r) - 4*i(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -18, -4, 3, 93, -2.\nAnswer: -18, -4, -2, 3, 54, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y*(y**(-3)*y*y*y)\/y)\/(y*y**(-1\/6))**(-9) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134407755 by 4.\nAnswer: -134407755\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:22 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -89*c + 35. Let m be o(6). Let h = 503 + m. Solve 0 = h*t - 10*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5659*w - 5650*w = 54 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 + 306. Suppose 20 = r*g - 82. Solve -37*a = -g*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42924527 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4386 is divided by 1438?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 11*w - 14. Let t be c(-2). Suppose -15293 = -t*u - 3*y, 679 = -u - 2*y + 4506. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - u, 18*h = 19*h - 3*u - 5. Solve h*f - 28 = -18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22359636 and 56?\nAnswer: 313034904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8775 in 0.4, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 788650*i**2 - 31095286285*i + 248812766440 = 0.\nAnswer: -78869, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057894.075 less than -0.1?\nAnswer: -1057894.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336533.\nAnswer: 336533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3, e: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 16) in base 3?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105782 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11757596?\nAnswer: 2, 2939399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/305 + 289\/4880. Suppose 4*y - 3 = -7. Is y at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107.7 - 106. Sort -0.5, t, 5, -2\/11 in decreasing order.\nAnswer: 5, t, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c = 15. Suppose 2*y = 4*k + 41 + 35, 0 = -c*k + y - 89. Let r = k - -20. Solve r = 3*p - 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*v**5 - v**4 + 72*v**2 + 4749*v.\nAnswer: 280*v**3 - 12*v**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374855.\nAnswer: 5, 11, 43, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - -16) + 56 + -10 + -39?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/1092*7 - (-2604)\/273*9?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72701 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2559*f + 48287. Calculate w(19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let l(y) = 11166*y**2 + y - 2. What is d(l(q))?\nAnswer: -22332*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5))\/((u*(u\/u**9)\/u)\/u))**(-3\/44) assuming u is positive.\nAnswer: u**(-15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 14*s**2 + 0*s**2)*(-2*s + 3*s + 0*s).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 105*k - 9280. Does 7 divide d(129)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 74. Let s(w) = w**3 + 14*w**2 - 56*w - 69. What is the remainder when o is divided by s(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5441129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(300)\/sqrt(5)*-2 + sqrt(60) + (sqrt(300) + sqrt(300)*2)\/sqrt(5))\/(sqrt(5) + 3*sqrt(5)*1 + sqrt(20)\/sqrt(4)*-6 + sqrt(5)))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/6, 0.41, 3\/5, 3416, 0.4, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 5*u + 8 = 5*y, 4*u = 8. Suppose 0*g - 7*g + 6076 = y. List the prime factors of g.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3*(-2)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8151 and 42\/1573.\nAnswer: 89661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 46. Put -2, m, 5, -4 in decreasing order.\nAnswer: 5, m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*(-16 + 17).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 3*s**4\/8 + s**3\/2 - 3*s**2\/4 - 3*s\/2 - 5. Factor x(l).\nAnswer: 3*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (510*w**2 + 198*w**3 + w - 510*w**2)*(41*w - 3*w - 7*w).\nAnswer: 6138*w**4 + 31*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 1*sqrt(112))\/(sqrt(196)*-2 - sqrt(4)).\nAnswer: -4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 7. Let k be u(5). Is ((-99)\/(-22))\/(1\/k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1353, 1745, 2131, 2511, 2885, 3253?\n\"Answer: -3*b**2 + 401*b + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -3266?\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0.5. Put 2\/3, 3\/5, a in descending order.\nAnswer: 2\/3, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(304) - sqrt(19)) - (-5 + 1*sqrt(19))))**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1125 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwhv when four letters picked without replacement from whhwwhhvh.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195504 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 67*j + 3. Let q(d) = 90*d + 4. Let c(p) = -4*m(p) + 3*q(p). Let l(h) = -10*h**2 - 12*h. Determine l(c(o)).\nAnswer: -40*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(4) - sqrt(8)\/sqrt(2))*-3 + sqrt(4))\/((sqrt(2) + sqrt(72))*-6))**2.\nAnswer: -881\/882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.12530836 + -0.5\nAnswer: -0.37469164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 + 9*m**2 + 20*m + 19. Let q(g) = g**3 - g**2 + 3*g + 1. Let l(i) = 6*q(i) - r(i). Calculate l(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398801926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 + 30711428713?\nAnswer: 30711429483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -22573522?\nAnswer: -22573522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 7654*x - 2827*x)*(-14 + 10 + 5).\nAnswer: 4827*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -85463 less than or equal to -85511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 21. Suppose -l = -2*w - 11, 4*l + 4*w - 10 = f. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4531 + 4531.09. Which is the third smallest value? (a) 0.5 (b) 3\/7 (c) t (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7 + (-651)\/(-588). Let r = -19\/12 + i. What is the closest to r in -0.06, -9, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 152*j - 56. Let b be p(-51). Let a(g) = 7*g. Let l(u) = -u - 5. Let y(i) = i + 1. Let n(w) = l(w) + 5*y(w). Calculate b*n(z) + 2*a(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 173?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*q**3 - 3930*q**2 - 468673*q?\nAnswer: 420*q - 7860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*c - 6*c + 70 = 0, 0 = 5*p + 2*c - 91. Let u(o) = 2*o - 39. Let d be u(p). List the prime factors of 1\/(2\/(143 + d)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*y - 6, 4 = 3*j + y + 2. Suppose -d = j*z - 6*z + 15951, -20 = -4*d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/(-40) + -2 + (-112)\/(-230). What is the nearest to 1\/2 in -0.2, h, -0.05?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10031210 (base 4) to base 7\nAnswer: -101204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t - 1 + 26*t - 51*t + 3*t**2. Let i be x(13). Is 1\/10 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 5523\/84. Let r = d + -64. Determine y so that 1\/5*y**4 - 3\/5*y**3 - 1\/5*y + 3\/5*y**r + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12840312 divided by -28?\nAnswer: -3210078\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/4 - 40*m**3 - 320*m**2 - 125*m. Suppose c(f) = 0. Calculate f.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-4*2 - -1). Let q = 2 - f. Suppose 10 = 2*y - 48. Calculate the remainder when y is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-88)\/(-20))*(-135)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, q: 2, t: 9}. What is prob of picking 4 v?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + n**2 + 0*n**2 + (0 - 3 + 1)*(-2*n**2 + 0*n + 0*n) + 4*n - 6706 + 6706 - 3*n**2.\nAnswer: 3*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5866 + 82217\/14. Let p = -1573\/90 - -88\/9. Calculate the common denominator of c and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 392 - 224. Suppose h - 4*h = -315. Suppose -6*f + f = -h. What is the greatest common divisor of p and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -33*o**4\/4 - o**2 - o + 18. Find the second derivative of a(m) wrt m.\nAnswer: -198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1174986*g**4 - 550*g + 888 wrt g.\nAnswer: -14099832*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpppbqppqqqqqpqqq. What is prob of picking 3 p?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(136) + -2*sqrt(136)*-6)\/(sqrt(512)*-6*-3).\nAnswer: 5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 19 = -5*o, 27*o + 2*t = 24*o + 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2203 in -3.7, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 9*i**4\/4 - 28*i**3 - 93*i**2\/2 + 1124. Factor o(y).\nAnswer: 3*y*(y + 1)*(3*y - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 12. Let j be c(-10). Suppose j*n + 0 = 4. Suppose -n*a + 0*a = -24. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let s = 26.1 - 3.1. Let b = s - 23.1. Is b < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*r = -2*s - 134*r + 2, -r + 5 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1355*w**4 + 12*w**2 + 1371*w**4 + 52*w**2 + 2*w**5 - 22*w - 60*w**3.\nAnswer: 2*w*(w - 1)**3*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.783 - -38635.683. Let g = -38572.400002 + t. Let n = -0.5 - g. Round n to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 28229 = -213799. Suppose 9*k = -k + w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2640*i**3 - 6*i**2 - 4 + 4 + 2638*i**3.\nAnswer: -2*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.603 - 0.467. Let h = l + 0.07. What is the third smallest value in h, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.7 + 0.4565\nAnswer: -9.2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 - 88\/(-12))*36. Let u = s - 225. Solve -a - 7 = 2*j, -u*j - 3*a = j + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + -7 + -74 + 196\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -4.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(18))\/sqrt(9))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-79)\/(-158))\/(2\/220). Calculate the highest common divisor of r and 2420.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**2)\/l*l))**50*l**(-4\/11)\/l*l**(-2\/43) assuming l is positive.\nAnswer: l**(-47967\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (-2*sqrt(121))\/sqrt(11)).\nAnswer: -12*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 71*c**8\/112 + 9*c**4\/8 + 14*c**3\/3 + 300*c**2. Find the second derivative of b(u) wrt u.\nAnswer: 4260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/768)\/(20\/40)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -10 (b) -2\/3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -3\/4, 3\/8, 4\/3025?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 3*v - 3*v. Let g(y) = 7*y**2 + 5*y - 5. Let w(t) = 3*t**2 + 2*t - 2. Let z(q) = -4*g(q) + 10*w(q). Give f(z(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -50 (b) 0.2 (c) -5 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 0, -t - 8 = t + 3*z. Suppose t*d - 1172 = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45997948 and -45997939 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.2 + 11.2. Put t, 8, 1\/12, 2\/7 in increasing order.\nAnswer: 1\/12, 2\/7, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 263*t - 885. What is u(-128)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49123.3 + -54820?\nAnswer: -103943.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 3*y + 7*y + 13*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 + -6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 60 = -11*m. Solve -3*g = -2*o + 2, -4*g + o + 4*o = m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b0b8 (base 13) to base 14\nAnswer: -153b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -150, -136, -122, -108, -94?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20121183599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 8*w**2 + 15*w - 26. Let h be i(5). Let l(r) = 4*r**2 + 5*r + 5. Let o(b) = 1 - 4*b + 5*b + 0*b. Determine h*l(z) + 5*o(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21030183?\nAnswer: 3, 31, 75377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1. Let m(p) = -p + 3. Let n(b) = -m(b) - 4*s(b). What are the prime factors of n(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 164763313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4676 - 0.0676. Let k = -2.97 - -3. Which is the second smallest value? (a) 5 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-782)\/(-85)*5\/2. What is the greatest common divisor of 506 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -62\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*t - 19*t**2 - 280*t to the form g*t + f + r*t**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 18. Let m = -7 + d. Calculate the highest common factor of 18 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.63 + 2.07. Let l = 2.3 - j. Put 0.4, 5, l in descending order.\nAnswer: 5, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - b + 200 + 2*b**3 - 3*b**3 - 188 + 2*b**2. Let r be i(0). Solve 0*a - 4*a = r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/120 + x**5\/15 + x**4\/6 + x**3\/3 - 2*x**2. What is the units digit of g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hooo when four letters picked without replacement from {h: 4, o: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 890623 (base 10) in base 7?\nAnswer: 10366366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 56287 - 56287 + t**2. Let z(f) = 109*f + 2. Calculate k(z(x)).\nAnswer: 11881*x**2 + 436*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773258 is divided by 1938.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9 - (15092\/(-23940) + 32\/40)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1040 - -1136. Suppose 5 + 1 = -3*r, 4*n + 5*r - 38 = 0. What is the greatest common factor of n and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 20*g + 49*g = 31*g - 67, 3*k - 372*g + 376*g = 121 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6178552*o**3 - 6793*o**2 + 45*o - 1 wrt o.\nAnswer: 37071312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -654*d*f*y - 224*d*y - 9*d - 5442654*f - 13*y wrt y?\nAnswer: -654*d*f - 224*d - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 17*a**6\/120 - a**4\/12 + 4*a**2 + 7. Let s(u) be the second derivative of l(u). What is the second derivative of s(f) wrt f?\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32413640 - -17803640. What is s rounded to the nearest one hundred thousand?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 28. What is w(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 1. Let h(q) = -50*q - 13. Give -5*a(i) + h(i).\nAnswer: -25*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (3 - 21)) + 2. Let l = m - 11. Solve 0 = -3*r - 2*v - 2, -5*r - 4*v + l = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -34*u - 398. Let m be x(-12). Let p(d) = -3*d**2 + 12*d - 2. Let r(i) = 1. Let s(q) = -p(q) - 3*r(q). Is s(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*o - 4*o = -2960600. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/352 and -13\/2171328?\nAnswer: 23884608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889*m + 892*m + 932*m - 3591*m + 946*m.\nAnswer: 68*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34541939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*(-15)\/(405\/36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/13 - 9364*n**3\/13 + 112614*n**2\/13 - 197128*n\/13 + 93880\/13 = 0.\nAnswer: -4694, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p**(-14)*p)\/p)\/(p*p**(3\/2)*p)*(p**6)**48 assuming p is positive.\nAnswer: p**(547\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-33)\/(-21))\/((-2)\/(-7)). Let u(m) be the first derivative of 0*m**3 + 2 - 1\/4*m**4 + 2*m**p + 0*m. What is the second derivative of u(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -777.1 + 777. What is the second smallest value in 1, 4, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0 + 0*h**3 + 5\/168*h**8 + 6*h**2 + 0*h**5 + 0*h**6 + 1\/3*h**4 + 0*h + 0*h**7. Find the second derivative of a(s) wrt s.\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6 - 27*a + 19)*(13 - 2 + 2 + 7).\nAnswer: -540*a + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 78*p**2 + 78*p - 52. What is the smallest common multiple of m(-40) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 234, 356, 482, 612, 746?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x - 27 = 5*l, 0 = -3*x + 5*l + 6. Let q be (1850\/x)\/(2\/(-24)). Round q to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 7*q - 5*p, 125*q + p + 34 = 128*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 49 = -5*v, 26 = -f + 2*f - 4*v. Let d = 9 + -4. Suppose 8*z - f = d*z. Solve 0 = -3*c - z*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + -76. Let c = -119 - -71. Let a = c - i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, q: 3, l: 1, c: 1}. What is prob of sequence qc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9119 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 15*p - 4. Let a be n(8). Suppose 3*d - 5*v + 44 = d, -a*d + 2*v = 56. Let m = 17 + d. What is the remainder when 6 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5918, -11872, -17826, -23780, -29734?\nAnswer: -35688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -28. Which is the smallest value? (a) 1\/3 (b) -26 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 30219.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 6*y - 4. Let a(j) = 2*j**3 + 9*j**2 - 11*j + 8. Let r(b) = 4*a(b) + 9*v(b). Give r(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*2*sqrt(700) + sqrt(700) + 0 + 5 + (3*(0 + sqrt(700)) + sqrt(700) - (sqrt(700) - -2*sqrt(700)*-6)))**2.\nAnswer: 400*sqrt(7) + 11222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190 + 2*t - 2*t**3 - 8*t**4 + 9*t**4 + 192 + 19*t**2 to u*t + q*t**3 + c*t**4 + y + p*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293.89565 - 301.896. Let g = t - -8. Round g to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**2 + 5*w + 5. Let v be j(-6). Let s be (-2)\/13 + 3933\/v. Let f = s + -9. Solve -12 = -3*y, 4 + f = -2*z + 2*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 39. Let t be (s\/8)\/(3\/(-6)). Let q(y) = -5*y + 3. Let k(n) = -9*n + 5. Calculate t*q(l) - 3*k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - -4480?\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2338*s**3 - 2*s**2 + 3*s - 3. Let g(l) = 4678*l**3 + 5*l**2 - 7*l + 7. Determine -3*g(r) - 7*k(r).\nAnswer: 2332*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/660 - 49*m**5\/55 - 2401*m**4\/11 - 941192*m**3\/33 - 3088*m**2. Factor g(h).\nAnswer: -2*(h + 98)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let i(z) be the second derivative of -268*z**3\/3 - 615*z. Give i(v(u)).\nAnswer: 1072*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 20*k - 58. Let u be r(-21). Let g be (-4)\/16 + 429\/(-12). Is u < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2563444067 - -0.2.\nAnswer: 2563444067.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10 - 10 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*b + 3 - 3 - 12*b - b**2 in the form a + c*b + l*b**2 and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3558*(-11 - -1)\/(-18 - -12). Let c be 5277\/r - (0 - 4). Let w = 6\/593 + c. Calculate the common denominator of 11\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154175581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -3747?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101011 (base 2) to base 15.\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26878 = -7*u + 84835. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/9, 72785, 2\/11?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**31*((n\/n**(1\/2))\/n)\/(n*n**13*n) assuming n is positive.\nAnswer: n**(-279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92880.23 millilitres?\nAnswer: 92.88023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-4)\/(-1) - 2). Find the second derivative of 0*m**2 + 2*m**2 - z*m + 4*m**4 - 2*m**2 wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = 4*w, 4*w = -2*i + 1 + 9. Let a be (-6)\/39 - 80\/(-13). Solve 0*d = w*d + a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.421, 0.3, 0, -7\/823, 2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 207, -38, -1, -233 in ascending order.\nAnswer: -233, -38, -5, -1, 2, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34751021.\nAnswer: 71, 83, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 14)*2\/(-8)*-45. Let y = a + -40. Calculate the remainder when 17 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 19.6. Let q = t + -2.49. Let b = q - 0.17. Round b to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 248, 250, 252, 254, 256, 258?\n\"Answer: 2*w + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -22?\nAnswer: -27\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from 5904966412.\nAnswer: 5904966401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 13. Let x = q + -11. Let l(s) = s**3 + 3*s**2 - 2*s + 4. Determine l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*f = -5*b - 14, -3*b - 9 = 4*f. Let m(o) = o**3 - 2*o + 1. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 272010312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/2725 and -121\/333400?\nAnswer: 36340600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and 3710.\nAnswer: 100170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32585.079 times 4?\nAnswer: -130340.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150076126 is divided by 75038042.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3728 at most -3728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (41 - (-32 - (28 - 87)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from {e: 1, g: 4, a: 4, h: 8, t: 2}.\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*l - 437005 = -383525 for l.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (-3 + (sqrt(2057) + sqrt(2057)*1)**2 - (sqrt(2057) + (1 + sqrt(2057))**2 + -5)) + 5)*3.\nAnswer: -37086 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 10176 = -27*i. What is the lowest common multiple of 4 and i?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w**6 + 0*w**4 + 0 - 1\/70*w**7 - 1\/3*w**3 + 0*w + 0*w**5 + 3*w**2. What is the first derivative of g(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 127*h**2 + 22*h + 7. Suppose 2*d - 16*n + 12*n = -4, 2*d = 3*n. Is o(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-3)\/(-6)*-1). Let w(z) = 7*z - 23. Let h be w(6). Suppose -3*t = 2*t - 25, 5*t + h = v*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3 + 44*j**2 - 22*j + 109. Calculate c(-12).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let h(s) = -4572*s. Give h(w(t)).\nAnswer: -4572*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15700 is divided by 6993.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 7 - 2*b + 7. Let f(g) be the first derivative of -g**2 + 2. What is d(f(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12996, 51939, 116830, 207669?\n\"Answer: 12974*u**2 + 21*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15386*g**5*y**2 - 413*g**5 - 3*g*y**2 - 710*g*y + 41*g - 3*y**2 wrt g.\nAnswer: 307720*g**3*y**2 - 8260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 10 + 14\/(-3))\/(-2). Which is the nearest to 1? (a) -1\/4 (b) z (c) -1 (d) -22.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -1\/5, 0.4, -1627, -4\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -64, -1\/8, -1749, 5\/6, 1 in increasing order.\nAnswer: -1749, -64, -5, -1\/8, 5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/30 and 73\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/4 + 1239*x**3\/4 - 32136*x**2 + 31827*x = 0 for x.\nAnswer: 0, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1268*t**3*v**2 - 5*t**3*v + 2*t**3 - 1722*t*v**2 + 6717503*t*v - 24*v**2 + v wrt v?\nAnswer: -2536*t**3 - 3444*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 10*c**2 + 17*c - 47. Let q be s(12). Let t = -112 - q. Calculate the remainder when 56 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -30650\nAnswer: 1\/6130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/493 - -77761\/29580. Calculate the common denominator of 43\/30 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:58 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 855 + 8e6b?\nAnswer: 97c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 2.4?\nAnswer: -0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:51 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 231*c**2 + 4*c - 10. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.4 + -1.4. Let g = -8.65 - o. Let v = g + 1.8658. Round v to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*l + 6. Solve -12 = 3*h, -5*w + 3*h = -l*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**7\/1260 - 2*b**3\/3 + 1. Let v(k) be the third derivative of o(k). Determine i so that v(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1804*i = -7509 - 7015 + 3685 + 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191\/1189 + -8\/41. Let x = 89\/58 + g. Factor 0*k**3 - 3\/2*k**5 + 0 - 3*k**2 + x*k + 3*k**4.\nAnswer: -3*k*(k - 1)**3*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/27251 + -626853\/1090040. Let b = -869\/8 + 109. Let f = b + a. Is 1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11396 is divided by 5752.\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5910, 5903, 5884, 5847, 5786, 5695, 5568, 5399?\n\"Answer: -w**3 + 5911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkg when four letters picked without replacement from kggkgggkgggkgg.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 1\/2, 9.445, 0.08?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206164?\nAnswer: 2, 7, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1151 - 1064. Calculate the smallest common multiple of 18 and p.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 87750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -21. Suppose -19 + u = s. Suppose 0 = 3*c + 3*n + 42, 5*c + 20 = 5*n - 0*n. Is s > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 36*w - 27. What is s(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 2\/11 (c) -0.11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 - 3*z**2)*(2 - 6*z**2 - 2).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 4180*t**3 + 1138412*t**2 - 23925020*t - 25067616 = 0 for t.\nAnswer: -1, 24, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -2, 4\/9, -1\/86, -0.3, -3 in increasing order.\nAnswer: -137, -3, -2, -0.3, -1\/86, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2513 (base 11) to base 6\nAnswer: 23105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.71 in -0.5, -13, 2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - 2.8. Let u = r + -4.4. What is the third biggest value in 1\/14, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -1\/240*u**5 + 0 + 1\/480*u**6 + 0*u + 1\/840*u**7 - 1\/96*u**4 + 0*u**3 - u**2. Determine n so that a(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwplmmwfwtwmlmw. Give prob of sequence tpww.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9105 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 - -204. Calculate the highest common factor of a and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 35 = 5*a, 5*m + 105 - 112 = 9*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/17880*-12)\/((-101)\/(13130\/52))\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/9 + 4\/3. Let s = -2\/9 + y. Suppose n = 3*n. What is the third biggest value in 2\/9, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.25 - -578025.\nAnswer: 578023.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.369 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122220 (base 9) to base 5.\nAnswer: 4330214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -25 + 39 + 0 + -23\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284895864 by 259468.\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 0.1 (c) 0.5 (d) -2469 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -55158\nAnswer: 1\/18386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1221204 (base 7) to base 16\nAnswer: 2635e","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = 5*x - 65, -55 = -5*x + 5*p. Solve -16*l = -x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 12 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 24 = l, 2*v - 4*v - l = -14. Suppose 0 = 2*y - v*y + 69. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v + 99374 = 5*l + 53*v, -5*l - v + 99383 = 0. What are the prime factors of l?\nAnswer: 2, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20115 divided by 6705.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15e03 (base 15) to base 8\nAnswer: -211775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 199179 (base 12) to base 8\nAnswer: 1561255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5226*w = 4640*w. Suppose -5*o + 2*f = 0, 3*o - 17 = 4*o + 3*f. Suppose 2*u = -0*u + 10. Sort u, o, w.\nAnswer: o, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133306.\nAnswer: 2, 66653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11011110011111000001?\nAnswer: -11011110011111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251*i**4 + 12*i**3 - 97*i**2 - 13208719*i wrt i?\nAnswer: -3012*i**2 + 72*i - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191181253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080824 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -110. Suppose -k + 0*x + 4*x - 10 = 0, -3*x = -5*k + b. Solve -5*p + p + 26 = -5*r, 0 = -3*p - 3*r + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - (-30)\/(-8). Let m(z) = z. Let u be m(d). Let p = -986\/3 + 329. Which is the closest to p? (a) -1 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let p(n) = n**3 - n**2 + 2*n - 2. Let y be p(0). Let r = 1\/118 + 349\/590. What is the third smallest value in h, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(5*(sqrt(20)\/sqrt(2) - sqrt(10)) - sqrt(10)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -8. Let h = -23 + u. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -29. Let y = 649\/6 - 108. What is the third smallest value in -5, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21107, -41801, -62495, -83189, -103883?\n\"Answer: -20694*x - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -383 at most as big as -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + -164. What is the common denominator of 0 - (-1 + (-75)\/(-8)) and -3 - y*(-6)\/(-120)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2351*q**2 - 18*q - 4. Let z(u) = -2349*u**2 - 14*u - 3. Determine 3*j(i) - 4*z(i).\nAnswer: 2343*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11642916 less than or equal to 11642909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16973 and 594.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 19) + 2 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -0.04, -154 in increasing order.\nAnswer: -154, -0.04, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*7*(-7)\/(441\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 times 17.16?\nAnswer: -2436.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Suppose 3*l - 8 = l, i + u*l - 23 = 0. Suppose -b + 1202 + 8713 = -5*a, -i*b + 29712 = -4*a. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 452 + -227. Let q(w) = 21 + 221*w + 15 - a*w. Is q(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(3*sqrt(700)))\/(((sqrt(6534)*3 - sqrt(6534)) + sqrt(6534) - sqrt(6534))\/sqrt(6)).\nAnswer: sqrt(3)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 65 = -12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 109, 146, 187?\n\"Answer: 2*a**2 + 27*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240\/17*a**2 + 232\/17*a + 66\/17*a**3 - 2\/17*a**4 + 0.\nAnswer: -2*a*(a - 29)*(a - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - 3*v - 4. Suppose -x + 5*n = -7 + 28, 4*x + 4*n = 36. Let j be u(x). Which is the biggest value? (a) 2\/11 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 17*n - 6. Calculate i(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(20\/(-8) + 4). Is 128 + w - 3\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 51*b - 8. Let d be v(1). Calculate the highest common divisor of d and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597, -3140, -7379, -13314, -20945, -30272?\nAnswer: -41295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204282013.\nAnswer: 17449, 183637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) + 234\/(-108). What is the nearest to -2 in b, 0.3, -0.03?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d60 (base 15) in base 12?\nAnswer: -18b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(-2 - 4*u + 2) + (-42 - 4*u**2 + 25 + 21)*(10 - 4 + 15).\nAnswer: -88*u**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9852697, -19705395, -29558093, -39410791, -49263489, -59116187?\nAnswer: -68968885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3)*3\/(-21). Let z = 15 - 10. Which is the closest to 1? (a) x (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-5)\/(-3)) + 5. Let d be (1 - s)\/((-2)\/32). Suppose -5*r + 19 = -d. What is the remainder when 18 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/(-351))\/(1520\/60)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 4:17 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1863*d**3 + 30*d**2 + 11*d + 4. Let r(y) = -933*y**3 - 14*y**2 - 5*y - 2. What is 13*r(s) + 6*v(s)?\nAnswer: -951*s**3 - 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41850 = -7*h - 11*h. Let v = h + -1264. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + sqrt(931)*-1 + sqrt(931))**2 + -1 + 3)*-5.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1389775 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 25649 = 14*j. Suppose 0 = 25*h - j - 452. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1 - 3. Let h be -4*2*(-4 - x). Suppose h = 4*z - 0. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 12 = 117*p - 113*p, -2 = 2*s - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-14*z - 72 + 72) + 2*z - 4*z + 0*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6449 + -6446. Solve -3*z = 5*g - 19 - 0, -2*g + d*z = -16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5 = c, 0*c - 2*c - 5 = 5*r. Suppose c = -2*g + 5*h + 18 - 8, 3*h + 15 = 3*g. Solve -2*p = 2*k - k + 6, 0 = -g*k + 3*p - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from fmygygjggf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77643 = g - 3*u - 77869, 3*g + 3*u + 210 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**1)\/r))**36\/(r**(-6)*r\/r**2))**(2\/27) assuming r is positive.\nAnswer: r**(158\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*g - 40, -g + 18 = a + 2*g. Suppose 5*m - 2*m = a. Suppose 6*u = u + m. Solve 2*p + u*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let m = -6 - -8. Let h = 5 - 7. Which is the closest to g? (a) m (b) 2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/2*(-28)\/(-70))\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 2 + 2)*(-20*w**2 + 18*w**2 - 3 + 0).\nAnswer: -16*w**3 - 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 389 - 400. Which is the nearest to 1? (a) 2\/3 (b) 2\/5 (c) h (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 6*d + 2. Let k be i(-3). Which is the third smallest value? (a) -5 (b) k (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h - 2. Let o be l(-7). Suppose 0*f - o = -4*f. Let w(n) = 21*n + 579. Calculate the remainder when w(-26) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 2889, 2.\nAnswer: 1, 2, 16, 2889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - y + 3*t = 21, -2*y + 459*t + 272*t - 3199 = -5*y + 447 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nshhnnshshhnnhhscn?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222221210202 (base 3) in base 13?\nAnswer: -7200c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289.339928 rounded to zero decimal places?\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/196 in 46\/5, -1\/2, 18, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54598*j**3 - 855*j**2 - 149716*j + 1509 wrt j.\nAnswer: -327588*j - 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 22\/(-352)*-180)*(-120)\/(-21).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 1.169?\nAnswer: 0.09352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, 22, 6 in descending order.\nAnswer: 22, 6, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by 323546\nAnswer: 104\/161773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1722 or 24.52?\nAnswer: 24.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose 0*d + w*x - 100289 = -3*d, -3*d + 100288 = x. Let k = 17429 - d. What is k rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 52*q = -82*q - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2101211 (base 5) to base 7\nAnswer: 202514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 50\/12)\/1. What is the third smallest value in -4, -0.5, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a60704 (base 12) to base 13\nAnswer: 7068c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8110.673 - 8102. Round j to one dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448949, 1795777, 4040485, 7183067, 11223517, 16161829, 21997997?\nAnswer: 28732015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 192*q**2 - 4402*q + 11532.\nAnswer: -2*(q - 62)*(q - 31)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 114*l**2 - 13611 + 13611.\nAnswer: -114*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/8*(-13)\/(-39)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*s = -6*h - 81, 183 = 5*h - s. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 - b. Let j = -7 - -2. Let d = j + 6. Give x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjeje. Give prob of sequence jee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 5*z + w - 10, 46 = -3*z + 4*w for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/141)\/(10\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -13*p**2 + 31. Let b(g) = -g**2 - g + 14. What is -2*b(j) + d(j)?\nAnswer: -11*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 t when four letters picked without replacement from {t: 12, h: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**4 + 159*t**2 - 163*t**2 - t - 36*t**4 as z*t**4 + x + c*t**2 + u*t + a*t**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*j**3*s**3 - 7*j**3 - 2*j**2*s**3 + 51*s**3 wrt j.\nAnswer: -390*s**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 1 - 30*a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86942 and 529147.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239093038 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6107587 (base 9) to base 13.\nAnswer: 89ba26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 11:31 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, z: 1, w: 1, e: 3, k: 3}. Give prob of sequence owe.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 - 2*q**2 + q. Let w be l(-2). Let t(f) = -f**2 + 26*f - 27. What is the units digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 13*i + 126. Which is bigger: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -323, 1, -82, -178 in ascending order.\nAnswer: -323, -178, -82, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-5\/4))\/(f*f**(-6)))**21)**36 assuming f is positive.\nAnswer: f**3591","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 3. Let x be 328\/(-2 - -6) - -2. Suppose x = -a + 4*a. Let b(m) = -m + 7. Let s be b(4). Let z(q) = -8*q + 28. What is a*w(u) + s*z(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 3. Let j be r(0). Suppose 5*c - 5 = 0, 14 - 3 = z + 5*c. Let p be ((-4)\/18)\/(z*(-10)\/1080). Solve p = -f - f + 5*y, j*f + 6 = -y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256587 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*u = -2*y - 13, -22 = y - 5*u. Let p(c) = c**2 + 9*c - 11. Let a be p(-9). Let d = -9 - a. Solve q + d = -4*n, -3*q - y*n - 3 - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q = -7026972 + 7028876 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 11*m - 5. What is s(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2767 - 2765. Let k(g) be the third derivative of -4*g**t + 0*g**4 + 0*g + 0 + 1\/30*g**5 + 0*g**3. Let l(y) = 7*y**2. Determine k(l(m)).\nAnswer: 98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:11 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-12)*b*b**(-5)*(b\/(b\/(b*b**1)*b)*b)**(-20) assuming b is positive.\nAnswer: b**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/(-51*(-197)\/1366392)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 30. Give z(-32).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 650 = -r, -4*w = -20. Find the common denominator of (-140)\/r - (-467)\/198 and 7\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1089*j**3\/4 - 35871*j**2\/2 - 2177*j - 66.\nAnswer: (j - 66)*(33*j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.4 - -55. Let g = 19\/75 - -2\/25. Let a = 8.37 + -6.37. What is the nearest to a in t, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360234021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:08 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/20)\/4*10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 14*b - 5*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62551967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 3*j = -13*t - 1545, 0 = -3*t + 3*j + 927. What is the greatest common divisor of 515 and t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d + 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**3\/2 + 22*v. Let g = 0 - -4. Let c(h) = -h**2 - 4 + g. What is c(u(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let d(j) = -13*j - 84. Let v(i) = -d(i) - 6*p(i). Let f be v(-4). Factor 5\/2*g + 1\/2*g**3 + 1 + f*g**2.\nAnswer: (g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474534?\nAnswer: 2, 3, 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -32, -40, -46, -50?\n\"Answer: v**2 - 13*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 8, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(39) + sqrt(39)*1 + sqrt(39))\/sqrt(3) - sqrt(13))*3)**2.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16258 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27412)\/11214*9\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66, 278, 644, 1176, 1886, 2786, 3888?\n\"Answer: 2*w**3 + 65*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - (-64)\/3)*(-1)\/2 and 53\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - 108\/(-45). Is 3\/(-3) + 28\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1088)*4 - (-2*sqrt(1088) - sqrt(1088) - sqrt(1088))*4)*-4 + 1)**2.\nAnswer: 256*sqrt(17) + 278529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2 - 323*j + 204798 = 0.\nAnswer: -642, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103787783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41456248, 41456246, 41456244, 41456242, 41456240?\n\"Answer: -2*d + 41456250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-9)\/21)*3. Let j be (a\/(-7))\/((-3)\/(-9)). Which is bigger: j or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9*s - 6*s, s + 10 = 3*i. Solve -i*n = 5*n - 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)\/(y\/y**(1\/6))*(y\/y**(2\/5))**(5\/3) assuming y is positive.\nAnswer: y**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 66 = -0*z. Let b = -13 - -50. Let k = z + b. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.42, -1.8, -21?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*k + 230 = -479*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*q*x**3 - 861*q*x - q + 25464*x**3 - 2*x**2 - 6*x wrt x.\nAnswer: 72*q + 152784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 - 101310301130?\nAnswer: -101310233311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*a - 11, 0 = 2*m - 3*a - 2*a + 13. Let j(y) = 2*y. Let t be j(2). Solve t*q - 5 = s + 1, 0 = 3*q + 2*s + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -671, -1\/6, -3\/106, -1, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1762, 3525, 5288, 7051?\nAnswer: 8814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911 - 18*t - 911.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -34*l - 236. Let u(k) = -8*k + 169. Let p be u(22). List the prime factors of m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 12*q - 150. Which is the fourth smallest value? (a) 2 (b) -6 (c) q (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4. Let c be z(0). Suppose 2*l + c*h = 4, 4*l - 8 = -5*h - 0. Suppose 10 + 2 = 4*m. Solve -4*j - j = m*y + 10, 2*y = -l*j - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**3 - 18*r**2 - 22*r + 48. Let s(m) = -5*m**3 - 6*m**2 - 8*m + 15. Let j(w) = -3*n(w) + 8*s(w). Give j(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4 + 12*i**3 + 9*i**2 - 22*i = 0.\nAnswer: -11, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(-1 - (-1)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 - 0.1. Let g = 3 - h. Is 8 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let i(r) = r**3 - r**2 - 7*r + 21. Let c be i(3). Suppose 0 = 3*n + c. Determine m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lntttanfaptpnfn. What is prob of sequence nlan?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 5 + 5)*(7 + 170 - 28) as d + s*w and give s.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/28))**(2\/7)\/((s*(s*s**(-5)*s*s)\/s*s)\/s**(6\/5)) assuming s is positive.\nAnswer: s**(1213\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121\/40 - -21\/8. Sort -0.3, 2, l in descending order.\nAnswer: 2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42592 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.54 + 0.18. Let o = -0.14 + b. What is the nearest to 0 in -4\/3, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102223333333 - -1101?\nAnswer: 102230001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*y**4 + 7*y - 2 wrt y.\nAnswer: -1416*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*g + 326449 + 307219 = -9*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15613.\nAnswer: 1\/15613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2719\/5 + 543. What is the second smallest value in 0.1, 1, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 1075\/(-50))*(12\/11)\/(-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 17 = 3*s. What is the common denominator of (s - -41) + -5*(-10)\/(-6) and 80\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*r = -17 - 8, -4*r + 20 = -4*d. Suppose d*l = 5*l. Solve 2*o + 6 = 4*o + 2*m, -2*o - m + 4 = l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-1)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)*l)\/((l*l**(-3))\/l*l))\/(l**(-4\/7)*l*l\/l**(-3\/2)*l) assuming l is positive.\nAnswer: l**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105443 + -105427. Let p(z) = -z**2 + 2*z + 2. Let a be p(2). Solve -a*t - d = -12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**34*f**(-6\/25)*f**(1\/17)\/((f**(6\/5)*f)\/f) assuming f is positive.\nAnswer: f**(13863\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 73*r**2\/2 + 2*r - 6. Let f be p(-2). Let c = 1006\/7 + f. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*o**2 - 18*o**2 - 234*o**2.\nAnswer: -353*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = -s + 3*s, -m - 2 = 3*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 - 4*o + 2. What is the remainder when p(-5) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 2. Let t(o) = -7*o + 6. Let x(d) = 13*d - 11. Let u(c) = -11*t(c) - 6*x(c). Suppose -4*v = -2*v + 74 - 76. Calculate v*j(l) + 2*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/12*6\/270*5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98267 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 56.2.\nAnswer: -5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 1\/3*i**3 + 7\/12*i**4 - 3*i**2 + 0*i + 0. What is the remainder when r(2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 586660 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -250210 (base 14) to base 4\nAnswer: -10311212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6550, 6543, 6540, 6541, 6546, 6555?\n\"Answer: 2*z**2 - 13*z + 6561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 6, 21, -653 in descending order.\nAnswer: 42, 21, 6, -653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:24 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 17 + 62. Let v = 969 - 432. Let o = -432 + v. Calculate the greatest common divisor of g and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 92*l - 20. Let d be k(15). Let o be 12*(15\/d - 1). Solve 0 = -o*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvz when three letters picked without replacement from xvvvnvtnvnzvxxni?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddedeeldeleldl. What is prob of sequence dedl?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68527, 68534, 68545, 68560, 68579?\n\"Answer: 2*x**2 + x + 68524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -12. Let k = -13.11 + f. Let r = 0.29 - k. What is the second biggest value in r, 0.1, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 25*s**2 + 63*s + 43. Calculate y(-22).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (511\/(-28))\/(-73)*44*-5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*c = 2069, 5*c = -n - 119 - 281. Let j = -188 - n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -42*i**3 - 40*i**3 + 3*i**2 + 81*i**3 - 2*i**2. Let l(q) = 6*q**3 + 6*q**2 + q + 2. Calculate 6*j(a) - l(a).\nAnswer: -12*a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(x + 0*x + 0*x)*(-3 + 6 + 6) - 4*x - 2*x + 4*x to l + k*x and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 6. Calculate the smallest common multiple of 2 + (-65)\/35 + 682\/77 and w(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1294, 6, -4, 4, 0, -5 in descending order.\nAnswer: 1294, 6, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 47*j**2 + 157*j + 42. Calculate c(22).\nAnswer: 2044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3327.4 - 3327. What is the nearest to 3 in -3\/5, -8, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9924 divided by 6.\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324308 divided by -220718?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:46 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 5270328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -42.8. What is the closest to n in -10, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose 0 = i + 2*i - 9, -2*b = 5*i - 29. Let r(t) = -t**2 + 5*t + 9. Let k be r(b). Sort k, j, -1.\nAnswer: k, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(24\/45)*570\/(-513).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 - 223?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*g - 3*g + 2, -32 = 4*n - 3*g. What is the third smallest value in 3\/4, -0.06, n, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.06418713 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -24*b - 66. Let m be f(-3). Solve 28 = -m*s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -719*j + 1287*j**2 - 714*j + 1436*j + 31*j**2 to q*j**2 + g*j + h and give q.\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 4*w)*(-3 + 5 - 3) - 137732*w + 9 - 7 + 137249*w.\nAnswer: -481*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 2.8. What is the nearest to m in 1, -0.3, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j - 6. Suppose 0 = t - 3*u + 15, 4*t + 5*u + 5 = -4. Let i(x) = 5*x + 3. What is t*h(m) - 13*i(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 41019562.\nAnswer: 41019561.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8611\/4 + 2172. Let z = 6 + 4. Calculate the common denominator of ((-207)\/z)\/(-3) + 2 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 minus 233014324?\nAnswer: -233014161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h. Suppose 0 = 4*n - 6*n + 58. Let j = -24 + n. Let f(g) = 23*g. Calculate j*f(m) - 8*u(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44181480 is divided by 132.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452*f + 780 = -1392*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210223462.\nAnswer: 2, 17, 31, 199453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800 (base 11) in base 3?\nAnswer: -11222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*v - 2. Let m(u) = -3*u + 4. What are the prime factors of m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*d = -23, 14 = 5*f - 4*d - 21. Let w be 8\/4 - 2\/1. Solve w = -0*a - 5*a + 10, -f*k + 3*a = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-14 - (-2257)\/(-2590)*-14?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*b + 32 = -201*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136408453?\nAnswer: 409, 333517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 2. Let j(x) = -2. Let y(h) = 2*i(h) - 2*j(h). Let n(z) = -1 - 38086*z**2 + 114229*z**2 + 1 - 38091*z**2 - 38073*z**2. Give n(y(d)).\nAnswer: -1344*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918728562?\nAnswer: 2, 2557, 570733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1550 + 1546. Let r be (1\/(-4))\/(6\/32). Which is the closest to -0.1? (a) r (b) -0.08 (c) 1\/5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3278, 5, -4, 16, 6, -3.\nAnswer: -3278, -4, -3, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -23098\/12259?\nAnswer: -23098\/12259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/3)*t*t)\/t**(2\/9)*(t*t**(5\/3))\/t*t**(-3\/7) assuming t is positive.\nAnswer: t**(274\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2996 = -13*m. Suppose -18*f + m = -14*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 199387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229891701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*i - p, -4*p - 106 = -5*i + 28. Suppose 6*f - i = 4*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1464)\/(-488)*103\/(-3).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - ((39 - -69) + -40) - -25.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 2887?\nAnswer: 94\/2887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8574 = -4046. Let z be v\/14 + 4\/(-14). Let u = z + -101. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38*(-1 - 2\/2). Let j = c + 81. Suppose 2*b + 14 = -j*v + 223, 2*v = -10. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 7*w - 7. Let p be j(6). Let x be p\/(-4) + 91\/84. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23034305, -92137172, -207308625, -368548670, -575857313, -829234560, -1128680417?\nAnswer: -1474194890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 67*w. Let c(b) = 5*b. Let k(n) = -3*n. Let m(i) = -2*c(i) - 3*k(i). Calculate m(h(u)).\nAnswer: -67*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 22 + 9 - 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - l = -19, 1 = -4*j + 3*j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 - 2\/((-360)\/52). Which is greater: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.552949 grams?\nAnswer: 0.000007552949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.7 or 116\/455?\nAnswer: 116\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-156)*1 - (-10412385)\/195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -38*p**2 - 11*p - 11. Let y be (-220)\/60*1*-3. Let b(u) = -13*u**2 - 4*u - 4. What is y*b(r) - 4*f(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 2\/7, 1\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 428\/275 - -12\/275. Factor 4*w - 8\/5 - t*w**2.\nAnswer: -4*(w - 2)*(2*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 142, 501, 1200, 2353, 4074, 6477, 9676?\n\"Answer: 19*f**3 - f**2 + 3*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 70 + 21 = 4*z, 2*z = -3*x + 43. Calculate the remainder when z is divided by 5\/(-15) - (-40)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55131460 and 2760?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1\/84*j**4 - j**2 - 2*j + 0 + 0*j**3 + 1\/210*j**5. Let w(h) be the first derivative of l(h). Find i such that w(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 1.89. Let p = t + -0.04. Let n = 0.35 + p. What is the closest to n in 1\/11, 2, 1\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411 and 11371?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 13\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2. Let b(i) = 185989701*i. What is a(b(j))?\nAnswer: -69184337756138802*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3956*o - 39562. Calculate t(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4\/2 + 9*p**3\/2 + 9*p**2 - 12*p = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let n(d) be the first derivative of 11*d**2\/2 - 2*d - 99. Determine n(c(j)).\nAnswer: 22*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/23))**31 assuming p is positive.\nAnswer: p**(775\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -21)*-1 + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2218*z + 95471. What is q(43)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 4. Let l be a(0). Let y(s) = 169*s + 9. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - t + 8. Let u be c(4). Let z be (u\/(-18))\/((-2)\/(-12)). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*t - 23, -2*j = -5*j - 2*t + 10. Suppose 5*w = -j*a + 217, 0 = 5*a - 2*w - 71 - 159. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**3*h*h)\/(((h*h**(-1))\/h)\/h*h)*(h\/h**(-2\/7))\/h*h**(-5))\/((h**1\/h**(-2\/23))\/(h**(2\/7)\/(h**3\/h))) assuming h is positive.\nAnswer: h**(-1049\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291396?\nAnswer: 2, 3, 7, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let q(v) = -2*v**2 - 12*v + 4. Let t(j) = 3*j - 1. Let b(l) = -q(l) - 4*t(l). Determine w(b(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 73*k**2 + 339*k - 46. What is l(68)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -2. Let q = -482 - -481.9. Let k = q + 0.1. Which is the nearest to 1? (a) k (b) 2\/15 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 7. Let c(i) = i**3 - 5*i**2 + 4*i - 5. Let s be c(4). What is h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-9)\/8) + -2 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.108 (b) 45 (c) -1 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m + 0*m)*(-12197*m - 128*m**4 - 3*m**2 + 12197*m).\nAnswer: -256*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14657647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/11, -95, -4950 in decreasing order.\nAnswer: 2\/3, -2\/11, -95, -4950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1102.958 - -1106. Let z = 0.33 - 0.372. Let j = z + d. What is the second biggest value in -4, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-960)\/360)\/(-2*(-2)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/(-8) - 875944\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -527 + 14*f**2 + 1048 - 521. Let l(a) = 28*a. What is l(s(r))?\nAnswer: 392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 174?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*y - 2*y + 6*d, 4*y + 4*d - 44 = 0. What is the second derivative of 156*t + 72*t - 12*t**2 + 4*t**3 + y*t + 19*t + 60*t wrt t?\nAnswer: 24*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6 - 4*l + 8*l - 13 + 6. Let f(p) = p - 4. What is -7*f(a) + 2*m(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 30. Suppose 3 + u = 3*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -137, -559, -1689, -3881, -7489, -12867, -20369?\n\"Answer: -59*v**3 - 9*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 2, -4\/3, 0.07 in increasing order.\nAnswer: -10, -4\/3, 0.07, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 671 = -0*z. Let b = 64 + z. Suppose -3*f + 229 + 367 = -5*x, -b*x = -4*f + 802. List the prime factors of f.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8429748.\nAnswer: 2, 3, 73, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -41*s**2 + 206*s + 8. Give g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*r + 31*r + 33 + 3*r wrt r?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let n be f(3). Let h = 3.6 + -3.5. Which is the closest to h? (a) 0.1 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 38220759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 230539 (base 10) to base 4\nAnswer: 320102023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, -2, 152, -0.5 in descending order.\nAnswer: 152, 0.5, -0.3, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11064 = -587*x + 11242 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -50. What is the tens digit of 4\/g + 105\/33 + 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r + 5*d + 15, 5*r - 2*d = 27. Suppose -3*h + 2*h - r = 2*p, -3*h + 7 = -p. Solve -h - 1 = 3*s - b, -4*b = -20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1*t**(2\/15)*(t**(-2\/15)*t)**(-16\/7))**(-41) assuming t is positive.\nAnswer: t**(-656\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9439\/2040 - 14\/85. Find the common denominator of i and -127\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {h: 15, j: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 75172060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46937784367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*v**2 + 12 + 421*v**2 - 113*v**2 + 611*v - 12 wrt v?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = -47*w + 4*j, -571*j + 572*j + 3 - 60 = 4*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1005853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 120\/(-18) + 1\/(-3). Let h(a) = -a**2 - 8*a + 9. What is the tens digit of h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 817 + -599. Let t be ((-7)\/15)\/((-34)\/p) + -3. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*(-16)\/(-288)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/(-10))\/((-24)\/88*(-44)\/40)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + sqrt(176) + 5*sqrt(176))*5)\/sqrt(4))\/((5*sqrt(2916))\/sqrt(9)).\nAnswer: 7*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862863547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2153*h + 19132 - 59845 = 131527 for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 40, 44, 66, 112, 188, 300?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62494*r**3*z**3 - r**2 + 390*r*z**2 - 2*z**3 - 57*z**2 wrt r?\nAnswer: 374964*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*u = 11, 3*z + 5 = z + u. What is the smallest common multiple of 8 - -3 - (5 + z) and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2987 - j**4 - 33*j**3 - 2*j + 2*j + 2983 to the form v*j + b*j**2 + q*j**4 + z + g*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l*y**6 + 15*l*y**4 + 2*l*y**2 - 876*l*y wrt y.\nAnswer: 1440*l*y**3 + 360*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1392*v**3 - 150*v**4 - 173*v**4 + 321*v**4 - 2*v + (-2*v + 1 - 1)*(0*v**2 + 2*v**3 + 0*v**2) to k*v**3 + d*v**4 + l + f*v + g*v**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62797 + -7535491\/120. What is the common denominator of 79\/56 and n?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7036 + 13500. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 + 0 = 2*f, 2*y - 4*f - 14 = 0. Let j = y + 4. Let p = j - -2. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*i + 26 + 2, -5*i - 3*x + 26 = 0. Suppose 6*o = -i*o + 150. Let f = 17 - o. Solve 3*r + 18 = -2*d, 4*r - 2*d = f - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -39*d**3 + 13*d**2 - 13. Let z(m) = -19*m**3 + 6*m**2 - 6. Let s(f) = -2*f**3 + 13*f**2 + 4*f + 27. Let q be s(7). Determine q*h(y) - 13*z(y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2270a9 - -596?\nAnswer: -226613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43 - -661?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 3\/2, 2\/93, 0.12, -0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*a + 2508 = 0, 0 = -2*f - 5*a - 1887 + 6918. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -604*k**2 + 48*k - 3 + 86*k + 1204*k**2 - 602*k**2 - 3*k - 3*k**4 - k**3 to a*k**3 + c*k + s*k**2 + f*k**4 + y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 47*p - 28. What is the remainder when 292 is divided by t(10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 442 + d**2 + 57*d - 59*d - 98. Let v be i(0). Is (v\/10)\/(10\/25) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-25) - (0 - 6856\/(-10)). Let f = c - -985. What are the prime factors of f?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -666 + 132. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 - l + 1. Let k(b) = 5*b**3 + 11*b**2 + 10*b - 3. Let j(c) = k(c) + 4*p(c). Let q be j(-6). What is the closest to q in -2, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1320 and 5\/1768404?\nAnswer: 17684040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*a**2 + 169*a**2 - 997*a**2.\nAnswer: -1423*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let r(a) = a**3 - 8*a**2 + 2*a - 2. Let q be r(7). Let n = q - -73. Let s(f) = 12*f - n*f**2 - 12*f. What is s(m(y))?\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/850 and 53\/1509430.\nAnswer: 7547150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-22) - -1) + -2. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 2, r: 1, q: 2, f: 1, y: 4}. Give prob of sequence xqyq.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21850*i**5 + 3*i**4 + 3*i**2 + 3161*i - 1 wrt i.\nAnswer: -1311000*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -6444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -0.01. Let v = -852.1 - -852. What is the biggest value in 1\/2, v, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4*g + 2*l + 4, 0 = 4*l + 8. Let r be ((-2)\/10 + -3)*10\/(-4). Let d be (5 - r)\/(6\/(-4)). Solve k - d*f - f - 1 = g, 13 = -k - 4*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 4 - 10)*(7*n - 3*n - 3*n + (5 - 3*n - 5)*(3 + 0 - 1)) as j + d*n and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 91753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.697 - 0.73. Let h = 0.049 - k. Let f = 0.08199931 - h. What is f rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.915 + 0.085. Let r be -4 + (-36)\/(-8) - 1. What is the smallest value in p, -3, r, 2.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2714952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 252 = -2*r. Calculate the remainder when 263 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847440281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.9, 0, -2, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -21?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-18) + (-8)\/15. Let l = -28 - -25. Which is the closest to l? (a) -1 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274651594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 307100 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.795 + 0.295. Let y = 1296982\/13 - 99454. Let o = -314 + y. Which is the nearest to -0.1? (a) r (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 6*h**2 + 2306 + 11*h + 0*h**2.\nAnswer: -6*h**2 + h + 2306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 35. Let p(u) = -u + 7. Let r(l) = 5*p(l) + w(l). Let z(n) = 398*n. What is r(z(c))?\nAnswer: 398*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + q - 26 = 2*q, g - 5*q = 4. Let t = 8 - g. Let x = -5 + 2. Sort x, t, -2 in descending order.\nAnswer: t, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -925.9 - -906.9. What is the smallest value in 0, 0.8, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 2 + 4)*1. Let f(n) = o*n + 2*n**2 - 3 + 2 + 0*n + 3*n**2. Let v be (4\/8)\/((-2)\/(-4)). Give f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {n: 2, p: 4, z: 5, w: 4, q: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - (10 - 5)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 7) in base 11?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**5 - 12258*b**4*i + 2*b*i - 16*b + 32*i + 5 wrt b?\nAnswer: -300*b**3 - 147096*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 85. Suppose 2*w = 154 - 52. Let y = w - m. Calculate the least common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**5 - 2*i**4 + 6*i**2 + 8. Let r(c) = 23*c**5 - 6*c**4 + 20*c**2 + 23. Let b(m) = 17*q(m) - 6*r(m). What is the third derivative of b(l) wrt l?\nAnswer: -120*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -543 >= -544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(425) + sqrt(425) + ((1 + sqrt(425) - sqrt(425))**2 + 4 - sqrt(425)) - (4 + (-6*(sqrt(425) + 0 + sqrt(425)))**2))*-2.\nAnswer: -20*sqrt(17) + 122388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.668 (b) 0.7 (c) 4 (d) 0.4 (e) -3\/5 (f) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63490?\nAnswer: 2, 5, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/6*j**4 - 1\/6*j**3 + 1\/120*j**6 - 1\/30*j**5 + 0*j + 0 - 26*j**2. Give u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 25, -x + 29 = -2*a + 5*a. Let q = 11 - a. Solve 2*y = 3*r + 14, -r + 4*y = q*y + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h + 2. Let p be s(0). Suppose 0 = 2*n + p*n + 32. Let x(q) = q**2 + 11. Does 23 divide x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.950407 years in decades?\nAnswer: 0.9950407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6913280 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93\/415 - -2\/83. Let x = 39 - 41. Which is the closest to 7? (a) 4 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 - 15. Determine x(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 4, -3, -26, -71, -144, -251?\n\"Answer: -w**3 + w**2 + 7*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/2)*a)\/a**(2\/15)*a*a**(3\/4)*a*a**(-7))**3)**(3\/25) assuming a is positive.\nAnswer: a**(-519\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 = 2*x, -3*x + 3*m = 4*m - 24 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008898 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - 0.09. Let i = -1.2 + x. Sort 0.5, i, 4 in ascending order.\nAnswer: i, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 454\/45 + -51\/5. Let l = 1914\/7 - 273. Let a = -126.4 - -126. What is the third biggest value in 5, a, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/40 + 3*t**5\/20 - t**4\/8 - 3*t**3\/2 + 5*t**2. Factor l(i).\nAnswer: 3*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -3, -41, -77, -111, -143, -173?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 13*u + 63. Let f be 1\/((-44)\/(-56) - 6\/u). What is the derivative of -13*l**3 + 147*l**2 - 147*l**f + 16 wrt l?\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-11))\/(54*31\/(-12276))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -11969?\nAnswer: -97\/11969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:11 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 4. Suppose -11*q - 18 = 15. Determine t(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 - 725530236.\nAnswer: -725530236.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 9*f + 13. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 6 - 22)*(-y - 9*y + 2*y) to v + p*y and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 5011. Let z(w) = -8*w. Determine f(z(i)).\nAnswer: -16*i + 5011","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p. Let v(i) be the first derivative of 4*i**2 - 19. Calculate m(v(a)).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 53 = 52. Put 5, -3, c in descending order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2. Let h(n) = 10*n + 16. Suppose 0*k + 68 = 3*i + 5*k, 4*i - 3*k - 52 = 0. Let o(m) = 3 - 1 + 2*m + 1. Let s(z) = i*o(z) - 3*h(z). Give j(s(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let d(y) = -10*y - 15. Let i(v) be the second derivative of 0 - 1\/2*v**2 - 1\/6*v**3 - 3*v. Let o(t) = -d(t) + 15*i(t). What is m(o(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 + 132*n + 3. Let u be t(33). Solve -q + 5 = -4*d + 1, 20 = u*d + 5*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:41 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -7. Let w = q - -2. Let c = -7 + 2. Put -0.2, w, c in ascending order.\nAnswer: c, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2 + -2)*(0 + 0). Suppose f = 81*w - 83*w + 10. Calculate the remainder when 29 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131762317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 11. Let v(i) = -4*i - 5. Let m be (-4 - -3)*-2*(-13)\/(-2). Let d = -18 + 24. What is d*q(r) + m*v(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-50)*(-20)\/24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4486.\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -5, 4, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cibbccbebev. Give prob of picking 1 e and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3414 and -49\/16.\nAnswer: 27312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39855, -79710, -119555, -159384, -199191, -238970, -278715?\nAnswer: -318420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2904 - m**2 + 5*m**2 - 4*m**2 - 5*m**2 + 2*m**2 + 2901*m.\nAnswer: -3*(m - 968)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 207. Let i(c) = -c + 6. What is the remainder when i(0) is divided by q(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -1550, -6 in descending order.\nAnswer: -6, -157, -1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let c(s) = -s - 10. Let z be c(-12). Let q(w) = -5*w**2 + w**z + w**2. What is q(a(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 17. Let j be a(11). Suppose 0 = -5*m + j + 9. Suppose 0 = -m*k - 2 + 59. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -32.999974. Round y to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 98650100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 9*h - 13*h - 4*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45635, -45638, -45641, -45644, -45647?\nAnswer: -45650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -73 + -61 + 70?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/12)\/(9\/180))\/((-5)\/4).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose 0*w - 5*w = q. Suppose -b - 672 = -5*b - 4*l, -b + 3*l + 172 = w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let j be (32\/72 - (-62)\/(-18)) + 7. Let g(n) = 3*n + 4. Determine j*x(o) + g(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:09 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**4 - 11*a**2 + 0*a**3 + 0 + 0*a + 1\/60*a**5. Let n(i) = -i. What is n(q(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*1*6 + sqrt(65) - sqrt(65)))\/sqrt(5))**2 + -2.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 100.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g*h**2*j - g*h**2 - 2659*g*h + j wrt j?\nAnswer: 22*g*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.68 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*m*m**(-22\/7)))))\/(((m*(m\/(m\/(m*m\/((m\/(m*m*m**(-36)))\/m)))*m*m)\/m)\/m*m*m)\/m)*((m*m**(-3\/26))\/m)\/(m*m**(4\/25)) assuming m is positive.\nAnswer: m**(140447\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 7:11 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/19, -8.035.\nAnswer: -8.035, -1\/2, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 99106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 - 296. Let k = f - -226. Suppose -6*r = -k - 294. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5852?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 3935*h\/3 = 0. What is h?\nAnswer: 0, 3935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16055827*c**4 + 3*c**2*u + 2*u + 2428711 wrt c?\nAnswer: 64223308*c**3 + 6*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 = -5*m, m - 6*m = -5*c + 20. Let r be 9\/(-6)*(-2)\/(-3). Sort c, r, -2.\nAnswer: -2, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*((-2)\/(-36))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 68525478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*s - 13*s + 1441 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 16 = 12*k - 4*n, 3 = 3*n. Solve -4*w - 20 = 0, -6 = b + 5*w - k*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33842 from 4116462900.\nAnswer: 4116496742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 964660 minus -14.48644?\nAnswer: 964674.48644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 36, 22, 8?\n\"Answer: -14*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21643.4 + 0.7894.\nAnswer: -21642.6106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 - 187. Let j(l) be the second derivative of 0 + 1\/10*l**4 - 3\/50*l**5 - 1\/15*l**3 + 0*l**2 + 1\/75*l**k - 5*l. Let j(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 16 - 28. Suppose 3 - 1 = 2*x. Let l = d - x. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -270*j + 259*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 6*x)*(-1 + x**3 + 1) + (0*x**2 - 5*x**2 - x**2)*(-x**2 - 5*x**2 + 9*x**2).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -86, -130, -174?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3) - (-6)\/(-10). Sort -0.2, q, -2 in descending order.\nAnswer: -0.2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0175 - 0.0258. Let n = t + -0.6567. Sort -3\/5, n, -2, -1\/5 in ascending order.\nAnswer: -2, n, -3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11907748 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 165.7. Let j = t - 13.5. Which is the smallest value? (a) 3\/8 (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g**2 + g + 304. Let x be m(0). Let r = x - 183. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/418)\/(6*(-20)\/480)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 less than -3.77?\nAnswer: -3.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22654 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -30, -3, 8, 5, -14 in ascending order.\nAnswer: -30, -14, -4, -3, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321430 is divided by 108.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*x**2 + 21*x**2 - 44 - 37*x**2 + 1138*x**6 + 21 wrt x.\nAnswer: 136560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 9. Suppose 96 = 5*d - 0*h + 4*h, 4*d - 77 = -a*h. Suppose 3*i + i = d. Solve -i = -5*p + p + 3*r, 0 = 4*p + 5*r - 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(80)*-5)**2.\nAnswer: 400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/((h\/h**(-10))\/h))\/h)*h)\/((h\/h**(-21))\/h*h)*(((h\/h**(1\/3))\/h)\/h)**(-26) assuming h is positive.\nAnswer: h**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 5*z**2 + 8*z + 4. Let k(i) = -i**3 - 8*i**2 - 44*i - 330. Calculate the remainder when k(-8) is divided by l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-3222.\nAnswer: 67662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6434.831t to micrograms.\nAnswer: 6434831000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 16. Let h be i(7). Is (6\/(-9))\/(h\/189) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3950 divided by -1\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1440, -3588, -7094, -11898, -17940, -25160?\n\"Answer: 10*c**3 - 739*c**2 - c - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 23\/2*f**2 + 6*f + 5 + 7\/3*f**3. Factor v(z).\nAnswer: (z + 3)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*c + 57*c - 10340 = -186*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 351.7511211 to 1 dp.\nAnswer: 351.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose h = t - 4*t. Suppose 3*m + t*m - 45 = 0. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/5 + 263*p**4\/12 - 2471*p**2\/2 - 212*p - 1. What is the first derivative of s(g) wrt g?\nAnswer: -12*g**2 + 526*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 + 24*i + 12. Let m be s(6). Let u(o) = 0*o + 246 + m*o - 246. Calculate u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, p: 1, t: 1, w: 1}. What is prob of sequence xw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 1:14 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86094.\nAnswer: 2, 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f + 1. Suppose 4 = -3*g - 3*r - 5, 5*g + 5 = -3*r. Suppose -2*s + 7 = -5*m, -3*m - 4*s + 3 = g. What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4) - (39 + 1). Suppose 3*u - 210 = -4*d, 117 = 2*d + 3*u + 15. Let t = d + a. Sort -4, -1, 3, t in increasing order.\nAnswer: -4, -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (1 - (4 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l - 4*l + 4*l - 3. Let w be j(5). What is the third derivative of w*g**4 + 2*g**2 - 5*g**2 + 4*g**2 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 23 + 62*x - 25*x - 29 + 66*x in the form l*x + w and give l.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48359595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 801 + 921 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 891*u + 10896 = 171*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13436969 = 13436984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 11 + 18 - 11 - 3. Let p be g(9). What is the second derivative of -6*b**4 + 0*b**4 - p*b**4 - 6*b wrt b?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a1 (base 11) to base 15\nAnswer: 3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30324.337617 from -6.\nAnswer: 30318.337617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086 + 3*u + 542 - 5*u + 544.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 453 and 54?\nAnswer: 8154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -3. Let n = z + 64. Suppose -3*i + 3*d + n = -1, 0 = 4*i - 3*d - 82. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 + 308. Suppose 243 = 5*t + k*z, -t - t + 88 = -3*z. Calculate the remainder when 186 is divided by t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -56\/3, 17, 1\/3, 4, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -178458\/11, 1\/9 in descending order.\nAnswer: 1\/3, 1\/9, -178458\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 8) to base 2.\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from {v: 9, r: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l = 43*l - 38*l + 2454480. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17749 divided by -18948?\nAnswer: -17749\/18948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let u(a) = -528*a. Give o(u(q)).\nAnswer: 528*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4817 - 4820.7. Which is the smallest value? (a) 7 (b) y (c) -4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15036646 is divided by 256.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 51*t + 0 + 0*t**3 + 2\/3*t**4 + t**2 + 4\/15*t**5 + 1\/30*t**6. Factor r(f).\nAnswer: 4*f*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 16*b. Does 11 divide n(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 43 + 40 + 34*x**2 - 2*x in the form z + q*x + j*x**2 and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 22281*y**4 - 338*y**3 - 33610122*y**2 wrt y.\nAnswer: 120*y**2 + 534744*y - 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25839 * -0.1.\nAnswer: 2583.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*h**2\/3 - 20*h\/3.\nAnswer: -h*(19*h + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Let n be (7\/3)\/((-1)\/(-3)). Suppose 2*p + n = 17. Solve p*y - 20 = o, 0*y - y = -a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1692, -4585, -7478, -10371, -13264?\nAnswer: -16157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6217376 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*u - 33, -81*u + 82*u - 5*v - 15 = 0. Let p(g) = 2*g**2 - 20*g - 11. What is p(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, u: 2, d: 5, h: 3, m: 1, l: 1}. Give prob of sequence luu.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 6. Let s(h) be the third derivative of -h**3\/6 + 12*h**2. Let t(w) = -k(w) + 6*s(w). Let y(q) = 3*q + 19. Give t(y(x)).\nAnswer: -3*x - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -a + 5*d + 6, 0 = -d + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let s be f(1). Suppose 0 = -5*w + c + 10, -4*w - 13 = -3*c - s*c. Let v be 2 + -1 + (3 - 4). Solve v = -2*t + 1 + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17020 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 56*a**3 + 2*a**2 + a. Calculate m(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 5 + 157*l**2 + l - 151*l**2 + 2*l + 2*l**3 - l. Calculate the least common multiple of y(3) and 77.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 12 + 88 + 2 + -16 + 0 + -8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 1630*c**4 - 131185*c**3 - 273880*c**2 + 403440*c = 0. What is c?\nAnswer: -3, 0, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((0 - 5)*2)\/(3565\/(-1426))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 7*y + 21, y + 123 = -2*a - 119 - 126 + 365 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -7, 899 = q - 2*k. Let j be 2\/(-8) + q\/36. Let x = j + -6. Solve 2*i - m - 2*m = x, -4*m = -5*i + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/579? (a) 2\/13 (b) 0.3 (c) 1 (d) 2.7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 7 + 1. Suppose i = 2*d - 2. What is the units digit of 33\/(d\/(-24)*-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134684600 + 0.0919.\nAnswer: 134684600.0919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*b + 79091 + 25906. Suppose 0 = -13*z + b - 384. List the prime factors of z.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -465 - -467. Solve -9*t - d*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 6*n + 13. Let o(c) = -10*c**2 + 11*c - 25. Let t(v) = 11*d(v) + 6*o(v). What is the first derivative of t(g) wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28022?\nAnswer: 2, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10123 (base 4) to base 5.\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170280)\/1419*3\/24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*f - 5. Suppose w = 2*x + 2*x - 96, 5 = x - f*w. Calculate the highest common divisor of 10 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -9 - 8 - 36\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmb when three letters picked without replacement from {z: 3, b: 2, t: 1, m: 6, a: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 4*n = 183*b + 4763, 3*b + 97 = -4*n for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 3, u: 3}. Give prob of picking 2 u, 1 j, and 1 h.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*n + 1282 = 461*n. What is o in 8\/7*o**n - 23\/7*o + 17\/7*o**3 - 6\/7 + 4\/7*o**4 = 0?\nAnswer: -3, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*4*(sqrt(1008) + sqrt(1008) + -1*(sqrt(1008)*-1 + sqrt(1008)) + sqrt(1008) - (sqrt(1008) + 1 + 1*sqrt(1008))))**2.\nAnswer: -13824*sqrt(7) + 581180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 + 11)*(-12*k - 3*k - 728 + 17*k)*(4*k + 0*k - 3*k)*(-1 + 5 - 3)*(4 - 4 - 2).\nAnswer: -72*k**2 + 26208*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149020 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246420745.\nAnswer: 5, 249284149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 120?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 5. Let a be h(-4). Suppose -3*f = -5*f + 4*i - 26, a*f - 5*i = -35. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823899?\nAnswer: 3, 67, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - 1 - (-124 + 110)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*a - 106 - 4, -3*h - a - 66 = 0. Let b = 61 + h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((121 + -1)\/(-15))\/((-264)\/(-297))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 0.017 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10799229*i**3 + 243433118*i**2?\nAnswer: -64795374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/12*-3 - 1*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.192?\nAnswer: 3.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 43089?\nAnswer: 473979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*3\/(-18)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4 - 21*m - 12*m**2 + 0 - 9 - 8 - m**3 - 1. Determine c(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 174.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10764 * -0.5.\nAnswer: 0.05382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 4\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155735553 and 345.\nAnswer: 778677765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*12\/18)\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 16) in base 12?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*q**2 - 2*m**2*q - 506*m**2 - 454869*m*q**3 + 5*m*q + 3*q**2 + 4*q + 22 wrt q.\nAnswer: 2*m**2 - 2729214*m*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 3 - 3)*(-3*n**2 + 5*n**2 - 3*n**2) - 3*n**4 + 3*n**4 - n**5 + 7*n**5 - 2*n**5 + 7*n**5.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 + 2*g**2 + 4*g + 3. Let z be w(-1). What is the highest common factor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102736 is divided by 319?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 141201631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011 (base 3) to base 10.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 5. Let j = 122 - 87. Suppose 0*q = -5*q - j. Let w(a) = a + 1. Let o(d) = -3*d + 2. Let u(v) = o(v) + 4*w(v). Give q*t(f) - 6*u(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 812*k**2 - 753*k - 2. Let z(m) = 1629*m**2 - 1506*m - 5. Let s(i) = 5*b(i) - 2*z(i). Find the second derivative of s(d) wrt d.\nAnswer: 1604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.87 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5 + 7 + i + 4. Let u(a) = -50*a - 357. Let d be u(-7). Calculate x(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 25 - 22 + r**3 + 0*r**3 + 0*r**3 - 4*r to y + l*r**3 + z*r + b*r**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10.7. Sort o, 0, -3 in ascending order.\nAnswer: -3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Let k(g) be the first derivative of -1\/2*g**f - 1 - g. Let t(c) = -2*c - 2. What is 10*k(a) - 4*t(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 804, 1616, 2436, 3264, 4100, 4944, 5796?\n\"Answer: 4*q**2 + 800*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/5, -1, 8995?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(13\/3)*q**(-25))\/(q**(-4)\/(q*q\/q**(-2\/7))) assuming q is positive.\nAnswer: q**(-302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 231*f**3 - 59*f**2 + 2*f + 17. Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3637*w - 1110 = 7296*w - 3629*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 31. Let h be n(4). Let f(r) = r**3 + 4*r**2 - 7*r - 6. Let o be f(-5). Sort 0, o, h in descending order.\nAnswer: o, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 235\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.064 (b) 3\/7 (c) -2\/9 (d) -44\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -15*q**5 - 21*q**4 + 39*q**3 + 33*q**2 - 24*q - 12 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8572392 divided by -4.\nAnswer: 2143098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 716608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 213\/44, 0, 3, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 37 + 2. Let y(p) = 211*p**2 - 3*p + 4. Let c be y(b). Let q = c + -2222. What is q rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 0.5 (c) -220.3 (d) 0 (e) 21 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 27 = -u, -5795*b + 33 = -5794*b + 4*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.430979mg to nanograms.\nAnswer: 7430979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t, -2*c + 4*t = 3*c - 46. Let b = c - -23. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.206? (a) 1\/4 (b) -2\/11 (c) 0.1 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 93333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + k)*(13 + 6 + 2)*(2 + k - 2*k + 2*k).\nAnswer: -21*k**2 - 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 24*k**2 - 824*k + 265. Calculate s(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -5. Calculate the common denominator of 7\/(-14)*(-109)\/h and 107\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/12 - 5*o**3\/6 - o**2\/2 + 15*o. Let r be p(4). Is r != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*r - 4*m + 14 = 117*r, 3*r - 14 = -2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.449.\nAnswer: 3.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13*15270898\nAnswer: -198521674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305470 rounded to the nearest ten thousand?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 5*k + 8. Let d be p(-6). Suppose d + 26 = 5*x. Solve x = -2*r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/7 (b) -1\/3 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.8 (b) 86 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhgx when four letters picked without replacement from {h: 7, x: 5, g: 8}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 + d. Let w(c) = 8*c**2 - 5 - 7*c**2 + 1. Let g(j) = 10*j**2 - 35. Let s(f) = 4*g(f) - 35*w(f). Calculate y(s(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*n = -43, -15*n + 2*n = -y - 11*n + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-7) + 22\/6. Which is the biggest value? (a) 2\/13 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 = 2172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -4. Suppose 0 = w*d - d. What is the remainder when 19 is divided by d + -1 - (0 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1968*n**2 + 210*n - 210. Give m(1).\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2006 = -46*y - 72*y. What is the remainder when 558 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 2*o + 2, 0*o - 3 = o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 - 990*l**3 - 75180*l**2 + 4295390*l + 4369575 = 0 for l.\nAnswer: -87, -1, 41, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015125392 to six dps.\nAnswer: 0.015125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 12*r**2 + 6*r - 12*r**2.\nAnswer: -3*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)\/z*z*(z**(1\/6)\/z)\/z*z**(1\/14)\/(z*z**(-7))*(z**0)**(-24)*(z**1*z*z*z)\/((z*z**(2\/5)\/z)\/z) assuming z is positive.\nAnswer: z**(403\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45038058 and 182?\nAnswer: 315266406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 130.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13144 and 318?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449 or 451?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.08 * 0.04\nAnswer: -0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 0.8. Let u = -2.05 + 0.05. Let t = 313 + -317. Which is the closest to m? (a) t (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4496*w + 2*w**2 - 4496*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.033074 - -0.14406259.\nAnswer: 0.17713659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 4*k**4 - 2*k**4 + (3 - 1 + 0)*(4*k**4 - k**4 - 4*k**4) - 3*k**4 - k**4 + k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16*v - 88. Let d be o(-6). Solve -d*b + 38 = -2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*s - 22, 22 - 4 = w - 4*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 2\/7, 1.1, -3\/8, 1161, 3 in increasing order.\nAnswer: -1.7, -3\/8, 2\/7, 1.1, 3, 1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -35 - -7) + -105 + -29.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28001 + 28421. Calculate the least common multiple of v and 585.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 32 = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108\/17 in -5, 20, -3\/22?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ood when three letters picked without replacement from {d: 5, o: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58952)\/280022*(-1)\/((-2)\/(-19))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6273301 and 32.4471.\nAnswer: -6273268.5529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057*p - 377*p + 1032*p + 101008 = 0 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3924, 3712, 3358, 2862, 2224, 1444, 522?\n\"Answer: -71*l**2 + l + 3994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/240 + 3\/16. Let f = 854 - 850. Which is the nearest to 0.2? (a) t (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 3, 1\/2, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1838 is divided by 258.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -25*t + s, 72 = 10*s - 20*s + 18*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20615000 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of (-50772)\/(-60) - (-12)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1302371 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -83208?\nAnswer: -499248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 21472*o**2 + 214356*o + 192888.\nAnswer: 4*(o + 1)*(o + 9)*(o + 5358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001100100100 - -11?\nAnswer: -100001100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -82*c + 11977. Let o be x(146). Suppose 0 = h + 3*h. Solve h = -3*t + 5*p + o, -t - p - 5 = -6*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 16*o - 27. What is the units digit of d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 13*x - 410. Calculate the remainder when x is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f + 8. Let u(r) = -2*r - 1. Let i(s) = s + 1. Let v(w) = 3*i(w) + 2*u(w). Calculate 12*v(k) - x(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**28\/m)**12 assuming m is positive.\nAnswer: m**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 5*k - 10. Let v be q(7). Let o(r) = -r**3 + 4*r**2 + 2*r + 2. Let j be o(3). Solve w + 1 = -c - 1, -v*w + c = -j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**3 - q**2 - q - 1. Let t be u(-1). Suppose -3*s + i = t, -3*i + 10 = 25. What is the units digit of (-2 - -1)\/(s\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/5 - 58*d - 45144\/5.\nAnswer: 2*(d + 76)*(2*d - 297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.31248 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98886 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/v**(-6))\/v)\/v)*v**6\/v)\/((v**2\/v)\/v**(-4\/7)))**32 assuming v is positive.\nAnswer: v**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6 - 6*m - 7 + 11. Let n(f) = -f. Let y = -75 - -74. Calculate y*o(d) + 4*n(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*3 - (4*sqrt(77)*1 + sqrt(77)))\/((2*sqrt(1408))\/(sqrt(2) + sqrt(16)\/(sqrt(8) + sqrt(16)\/sqrt(2)))).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (88\/10)\/(2\/35). Suppose -s = -16 - w. Suppose 2*h - 4*h = -s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 = -415666*i + 415638*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**6 + 0*j**3 + 71\/60*j**5 + 37\/210*j**7 + 0*j**4 + 0 - 13*j**2 + j. What is the third derivative of c(d) wrt d?\nAnswer: 888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - 67*t**2 + 36*t - 233. Determine b(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 6*h = -80 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 3}. Give prob of sequence xxo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 10. Let s be u(-4). Suppose -4*m - s = -g - 7*m, 22 = 2*g - 4*m. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17601.167508351 - 17600.967. Let p = -19.799495349 - q. Let u = p + 20. Round u to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v. Let o(d) = 4*d + 7 - 356*d**2 + 0*d + 360*d**2 - 3*d. Let l(k) = -5*f(k) + o(k). Factor l(t).\nAnswer: -(t - 7)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7882486591 - 7882486734.99999862. Let z = -203 - -59. Let k = g - z. What is k rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + 0 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from doxvyxyd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 + 2*u**2 + 0 + 9*u**2. Let g be y(1). Suppose 3*c = -2*c + 25. Solve -g - c = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 10*r. Suppose -4*f + 2*b + 16 = r, -3*b - b = -f - 3. What is the third derivative of -7 + 9 + 19*a**2 + 16*a**f - 2 wrt a?\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from aataabaaaaa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68305 - -68389.094. Let w = r + -84. Let c = w + -0.0940148. Round c to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3377 + 3378. Which is greater: -1516 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7378 - -0.6378. Is i greater than -567\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 4*l - 2*l + l + 4*l - 4*l + (1 - 1 + 2)*(0*l + 0*l + 2*l) + 97 - 4*l - 97)*(-141*l - 217*l + 50*l) to i*l + x + h*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8 - -5. Let n = -0.25 + d. Let c = n - -0.05. Put -2\/15, 5, c in decreasing order.\nAnswer: 5, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272666 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -742811, -1485626, -2228441, -2971256, -3714071, -4456886?\nAnswer: -5199701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*v - 40 = 0, 344*m + 6*v + 30 = 179*m + 170*m - 50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-6\/17))\/(l\/((l*l**(6\/29))\/l)))\/(l*l*l**33*l*l*l**(-1\/4)*l))**6 assuming l is positive.\nAnswer: l**(-220017\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32267.6 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 26*m**2. Let v(k) be the second derivative of 0*k**2 + 0*k**3 - 3*k + 1\/6*k**4 + 4. Give z(v(t)).\nAnswer: 104*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1597, 3199, 4811, 6433, 8065?\n\"Answer: 5*d**2 + 1587*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 40, 47, 68, 109, 176?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahhe when four letters picked without replacement from neenennhehnhnnanne.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1890 and 108675.\nAnswer: 217350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.88701 decades?\nAnswer: 3226.4412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4684197 divided by 4684197.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p - 9 = 3*m, m = 4*p - 10. Find the second derivative of -3 + 3 - d - 2*d**m + 5*d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 78, 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11286 is divided by 2255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9069 times 0.053\nAnswer: 480.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.572 and 1.\nAnswer: 1.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*l**3 - 50*l**3 + 107*l**3 - 14*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-1302))\/(-17)*12?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**4\/g))\/g)**(-48) assuming g is positive.\nAnswer: g**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132364.1m to millimeters.\nAnswer: 132364100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from sydyyyhu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/8, 11, -0.2, -1166, 10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 19. Let q be p(-11). Find the second derivative of -q + 8 + 3*n**4 - n + 0*n wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*c - 1 - 2, 3*q = 4*c + 1. What is the lowest common multiple of ((-29)\/3 - 1)\/(114\/(-171)) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 12 = -2*p + 121, d = -p + 84. Calculate the remainder when 232 is divided by p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -11110010001010010 (base 2) to base 4\nAnswer: -132101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 + 2*o**4 - 8*o**3 - 8*o**2.\nAnswer: 2*o**2*(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3139*(-230)\/(-4945))\/(-2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*g + 175, -x + g = 3*x - 140. Suppose 5*m + 10 = x. Suppose -2*p = -3*p. Solve p*j = -m*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.081 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-486)\/135)\/((-3)\/20))\/((-6)\/4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 29*x - 8 - 19*x.\nAnswer: -3*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n - 44*n + 18*n - 14*n**3 - 6*n**3 - 14*n**3.\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 26*o**2 - 2*o - 2. Let b(k) be the second derivative of 377*k**4\/3 - 39*k**3\/2 - 117*k**2\/2 + 464*k. Calculate -117*a(i) + 2*b(i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let b(p) = -67*p + 12. Calculate b(v(m)).\nAnswer: 134*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 3. Let o be x(-3). Let p = -29\/55 + -18934\/495. Let i = p + 39. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 6*a - 6. Let r(c) = -c**2 + 5*c + 1. Let q = 28 - 25. Let g be r(q). Determine o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-28 - (-17 + 9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let x be 24*4*y\/24. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:31 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -88.3.\nAnswer: -78.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -78*k + 124*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2738558\/(-6784320) - -2*(-1)\/(-1*5) and -69\/4.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/7 - 5748*s**3\/7 + 880485*s**2\/7 - 7404024*s\/7 - 8290260\/7 = 0. What is s?\nAnswer: -1, 10, 158, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 + 10 + 1410\/(-153). Which is the biggest value? (a) g (b) 21 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/42)\/(16\/30)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123.8 + -124. What is the fourth smallest value in l, -2, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1353\/84 + -16 - (-1404)\/(-53872).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27285507520 to the nearest 1000000.\nAnswer: -27286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 1138.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and 93\/70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442191 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-9)*(-4851)\/1848. What is the nearest to 32 in -0.3, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 m, and 1 e when three letters picked without replacement from {r: 1, o: 1, e: 1, m: 1, a: 1, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2523010 (base 7) to base 13\nAnswer: b5012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 2*o - 964689 + o.\nAnswer: 3*o - 964689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31768 divided by 15884\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211022 - -2?\nAnswer: -1211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:38 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90300\/(-294))\/(-43)*(-91)\/(-13).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4 + 2 + 2 - x. Let p be q(0). Let z be -1*p\/(-2) + -2. Solve 0 = z*w + 5 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236600 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:25 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvlla. What is prob of sequence aal?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 15*l + 332. Let a(u) = 4*u**2 + 9*u + 164. Calculate 10*a(m) - 6*y(m).\nAnswer: -14*m**2 - 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:09 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26630 or 24792?\nAnswer: 26630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 24 - (11 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 times -0.18?\nAnswer: -156.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, 1 i, and 1 v when four letters picked without replacement from {k: 7, v: 2, l: 1, n: 5, i: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (88\/10 - (-4)\/20). Solve 0 = -y*d + 2*d - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 352 = -1708. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*i**3 + 3283*f**3 + 2*f**2*i**2 + 176*f*i wrt i.\nAnswer: 3*f**3*i**2 + 4*f**2*i + 176*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -48. Suppose 2*s - 5*x = 39, 0*s - 2*s + z*x = -30. Suppose 7*y + 60 = s*y. What is the remainder when 22 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9167736*a**5 + 5*a**3 - 16853209*a + 2.\nAnswer: 183354720*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j**2 + 69*j**2 + 75*j**2 + 325*j**2 to f*j**2 + v*j + c and give f.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 59*m + 105. What is the hundreds digit of b(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1798 divided by -58.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 14*d + 14. Suppose -2*u + 1177 = b, 2*b = -5*u - d*b + 2944. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1000?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 2\/67 (c) -1\/6 (d) 0.1 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, o: 2, x: 8, r: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27563 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 5*q + 43, 4*q = -5*a + 215. Suppose 40*g - 3 = a*g. Which is greater: g or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 28*l**2 + l - 2. Let t be k(3). Let x be (-5)\/(105\/(-203)) - (-4)\/3. Calculate the highest common divisor of x and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/3026?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1925 and 55?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 372939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -814, -4, 0, -98, -3 in descending order.\nAnswer: 0, -2, -3, -4, -98, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 2346094.\nAnswer: -23460940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094 is divided by 694?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -281*a. Let s(j) = 4*j**2. What is c(s(m))?\nAnswer: -1124*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -117 - 2 - (-13 + 16 + (-34 - (-40 + 20)))\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 9, l: 1, j: 4, u: 1, y: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7411049.6 rounded to the nearest one thousand?\nAnswer: 7411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = 26. Let r(k) = k**3 + 5*k**2 + 4*k + 3. Let h be r(a). Suppose 5*s + 1 - 11 = 0. Solve 3*n - w = 14, s*w - 5 = -2*n + h*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 5)\/(2\/9). Let b(h) = -10*h - 45. Let x(q) = -q - 4. Let c(k) = f*x(k) + 4*b(k). Let m(g) be the first derivative of -g**2 - 2. Give m(c(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*r + 21 = 1428*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*f = 7, 0 = 3*b - f - 0 - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -10, 4, -8, -4 in descending order.\nAnswer: 29, 4, -4, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/25 (c) 797.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {a: 1, h: 2, r: 1, i: 1, f: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693086650.\nAnswer: 2, 5, 13861733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 340 = c. What is the remainder when c is divided by 79?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -70*a - 14. Let b be n(-11). Suppose -o + 5*o - b = 0. What is the greatest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 1, b: 5, y: 2}. What is prob of picking 2 b and 1 j?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040667 divided by 12?\nAnswer: -346889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2331845?\nAnswer: 4663690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -225164, -450330, -675540, -900794, -1126092, -1351434, -1576820?\n\"Answer: -22*l**2 - 225100*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*t - 6 = -7*t, 2*d - 2*t = -2. Let o = 0 + 0.1. Is d >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 36*j**2 - 58*j + 96 = 0. Calculate j.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -1*sqrt(130))*6)\/((1*sqrt(40) + sqrt(40))\/sqrt(4)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.05 (b) -0.3 (c) 0 (d) -0.1 (e) 2\/5 (f) -1\/158 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4071206*l**3 - 4071206*l**3 + 8142408*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1746 + 1718 = -4*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2952 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1892)\/8)\/(7\/(-109)). Let j = -3685 + o. Is j <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*r + 6 = 0, -r + 9 = -g + 1. Sort g, -1, -15.\nAnswer: -15, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -82. Let u(o) be the second derivative of 3\/2*o**2 + x*o - 3\/20*o**5 - 3\/2*o**3 + 3\/4*o**4 + 0. Factor u(y).\nAnswer: -3*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 320\/9?\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y + 47 - y**2 + 56 - 126. Let s be k(-5). Solve -16 = 3*l - l - s*h, l + 20 = 5*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 17}. Give prob of sequence kko.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/(16985\/(-632)))\/((-14)\/(2\/2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 701279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/7 + 362*j\/7 - 12240\/7 = 0. Calculate j.\nAnswer: 45, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*q + 20, -17 = 2*i - q - 2*q. Which is smaller: i or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - (-5 - (4 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.226364 to one dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21032\/33 - 2\/6. Let j = i - 633. Solve j*n - 13 = 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.39313mm to nanometers.\nAnswer: 35393130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -703700 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.5, -0.3, -2\/5.\nAnswer: -0.5, -2\/5, -0.3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from rqerhoenqeq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -15. Let t be (1\/(-2) - -1)*-268. Let n be t\/26 + 16\/104. Put n, 5, l in descending order.\nAnswer: 5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w + 25*o = 54*w + 27*o + 32, -2*o = 5*w - 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1 - (1 - 1). Is t < -11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 28, 0.4, 3, 10, 0.9 in increasing order.\nAnswer: 2\/21, 0.4, 0.9, 3, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*j, -4*j - 32 = -5*g - 0*j. Suppose 3*f = 2*b + 32, 4*b = -f + 5*f - 44. Let u = f - g. Calculate the highest common factor of 9 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:32 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 4*d + 4*d)*((-d + 0*d + 0*d)*(-3*d + 8*d - 3*d) + 25*d**2 - 5819*d + 5819*d).\nAnswer: -115*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -6. Let z = 6 + y. Let h = z + -1.8. What is the second smallest value in h, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2507395 and -29\/47640505.\nAnswer: 47640505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 2*z)*(15 + 15 - 5) + 2*z - 3*z - 33 + 2*z.\nAnswer: 26*z - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 42440*d + 381857. Calculate m(-9).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -12. Let o = 0.1 + 1.9. Suppose 9*d + 5*y = 15*d + 50, y - 29 = 5*d. What is the smallest value in o, f, d, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 25. Suppose -4*x + 13 = -6*g + g, 2*x - y = g. Which is the biggest value? (a) -0.5 (b) g (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287685784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9)*-4)\/((-2)\/(-12)). Suppose 3*t - p*t + 3565 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (114 - 0)\/(12*(-8)\/(-96)) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 0.009 (c) -2 (d) 0.67 (e) -0.3 (f) 0.3 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + (-8)\/(-3). Suppose 6 = 2*z + k. Sort -0.1, z, 5 in descending order.\nAnswer: 5, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1591 or 1605?\nAnswer: 1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 21. Suppose -2*d + 3*i - 9 = 0, -p*d + 5*i - 17 = -0*i. Let r be d + (7 - 3 - 1). Which is the second smallest value? (a) 4 (b) r (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 457.112355 to the nearest integer.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-6)*p)*p*p*p*p**(4\/5)*p*p*p*p**(3\/4)*p*p**(2\/33)\/p*p assuming p is positive.\nAnswer: p**(9643\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 29675 + 885445. Suppose -2*l - w + j = 2*l, 4*l = 3*w + 61024. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11741, 22161, 32579, 42995, 53409, 63821?\n\"Answer: -h**2 + 10423*h + 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-9)*(7 - 5). Let j(y) = -2*y**3 + y**2 - 2. Let t be j(2). Let r = t + 17. Which is the closest to -0.1? (a) 5\/4 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/4*21\/42)\/((-2126)\/(-6378)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000011200 (base 3) to base 2\nAnswer: -100110101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.2 + 8. Let j = 2 + g. Let h be 1\/6 + (-1736)\/2352. What is the closest to j in 3\/8, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-12)\/(-2)))\/((-88)\/(-22))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880185553?\nAnswer: 5399, 348247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z, -13*j + 2*z - 53 = -10*j. Let p = j + 37. What is the remainder when 31 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-69)\/46*238\/(-51)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-810)\/(-240))\/((-6)\/4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 1 + 0*y - 4 + 5*y - 8*y**2. Suppose 80*z + 270 = -370. Is s(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110011000100111100 - -1?\nAnswer: 101100110011000100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388 or -835987?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45268*j**3 + 272256*j**2 - 411300*j + 5832.\nAnswer: -4*(j - 3)**2*(11317*j - 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341 is divided by 85.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287.6 + 287.5. Let q = -5.4 - -3.3. Let x = -2 - q. Which is the third biggest value? (a) x (b) -12\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -296 + 157 - 8*z + 2*z**2 + 108. Let p be s(17). What is the units digit of ((-16)\/48)\/((-1)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 + -1 + 2546 + -2516 + (1 - 9)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m + 15. Suppose -6*p = -1179 - 345. Let y = p - 252. Solve -2*k + k + 10 = -3*i, m*k + 16 = -y*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 110*u - 14. Let a be t(3). Suppose 2*g - 7*g = -2*x + a, 811 = 5*x - 2*g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/132 - (-170)\/(-935). Put 1\/17, -2\/5, 1\/9, h, 0 in ascending order.\nAnswer: -2\/5, h, 0, 1\/17, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoueeeuuutuuee. Give prob of sequence et.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -2, -5\/16?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-4))\/(450\/200)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16024*-14126.\nAnswer: 226355024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:55 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 601583652 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 8\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 449\/4 (c) -7\/5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5627527, 11255049, 16882569, 22510087, 28137603?\nAnswer: 33765117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259505 - -201894817\/778. What is the common denominator of 1\/22 and d?\nAnswer: 8558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(22\/5))**(1\/4)*n\/(n\/((n*n**(-11))\/n))*n**(4\/3)\/n assuming n is positive.\nAnswer: n**(-287\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:36 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:26 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*sqrt(343))**2 + 2 + sqrt(343)*3)*-5.\nAnswer: -27495 - 945*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 + 30. Put b, 4, 2 in ascending order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3168 and 57\/22.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12055 + 12?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -15*v + 14*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 140\/120*106\/371\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - j = -9205, 7402 - 1256 = 2*i + 2*j. What are the prime factors of i?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27401788*a**2 - 8837659*a - 1?\nAnswer: -54803576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1*(1 - -1). Suppose -n - 1380 = 3*n + u, 690 = -2*n - j*u. Let o = 520 - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 11 = 100. What is the remainder when w is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*q - 166*q - 105*q to y*q + a and give y.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h**(-2\/53)\/h*h)\/h*h)*h\/h**(1\/34) assuming h is positive.\nAnswer: h**(1817\/1802)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w. Let p(d) = 34*d. What is s(p(g))?\nAnswer: -136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 28*q - 5*c + 65 = 0, q - 15 = -3*c for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 17 + 78*w**4 + 5*w**2 - 80 to a*w**2 + i*w**4 + k + v*w**3 + r*w and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2*j**2 - j**3 - 414 + 3*j + 418 + (-1 - 4*j + 1)*(2*j**2 - 2*j**2 - 2*j**2).\nAnswer: 7*j**3 - 2*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 45*h - 18. Let q(u) = -13*u + 5. Let f(m) = -5*k(m) - 18*q(m). Let s(o) = -3. Let t(w) = 2*w + 3. Let v(p) = -3*s(p) - 3*t(p). What is f(v(g))?\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:21 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 403*l**4 - 326*l wrt l?\nAnswer: 4836*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*z + 2*p, 0 = -7*z + 2*z - 2*p - 9. Let o be (-30)\/(-18)*8\/(-10). Let s = 1 - 0.7. Which is the nearest to z? (a) 2\/5 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -9. Let h(k) = 6*k**2 - 21 - 4*k**p + 12*k**2 + 0*k**2 + 5*k**3 + 14*k. What is the lowest common multiple of 16 and h(-17)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 7\/(-5))*-5. Let c be 3\/2*g\/18. Let o be (1\/(-1) + c)*-1. Solve o = -t + 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 + 5044*w**3 - 1552692*w**2 - 9631764*w + 42733008 = 0.\nAnswer: -1516, -9, 3, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 4*j + 46 + 2*j + 4*j - 9*j. Let c(g) = -g - 5. What is -6*c(i) - 30*t(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.406919735845 - 9.\nAnswer: -9.406919735845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 52\/390*2*2\/(-24)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -279. List the prime factors of m.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - 4*b, -2*r + 6*r - 3*b - 40 = 0. Let v be ((-6)\/r)\/(6\/(-90)). Solve 2*w - v = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 23.5\nAnswer: -23.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044473359.\nAnswer: 19, 191, 499, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/7 + 10\/35. Let t = g - -14. Solve 4*n - t = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Put 0.3, b, 3, -5 in descending order.\nAnswer: 3, b, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/27 and (-1*(-3)\/891)\/((-3)\/(-549))?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 1, m: 3}. Give prob of sequence mmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2491 at least -6164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 452 and 387644?\nAnswer: 43803772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = v + 2 - 0, -v = -4*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by -790454?\nAnswer: -111\/395227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 314*s + 4. Let a be w(2). Suppose 4*o - 1864 = a. Let n be 4\/(-10) + o\/(-90). Is -7 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.3 + 10.4. Suppose 4*g - 4 = -4*y, 0 = -2*g - 3*y + 6 + 1. What is the nearest to v in 1, g, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-4) + (-9)\/(-36). What is the nearest to 3 in -4\/7, c, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*o + 3*r, 0 = -0*o - o - 5*r + 19. Let y = o - -17. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i**4*x - i**3*x + 13345*i**2*x - 16013*i*x + x - 33 wrt i?\nAnswer: 156*i**2*x - 6*i*x + 26690*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/3 - 5*w\/3 + 2 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 939325*i**5*w - 13*i**5 + 24*i**2*w + i**2 + 2087*i*w - 3*i - 2*w + 1 wrt i.\nAnswer: 56359500*i**2*w - 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 - 3*b - 2. Let v(a) = 8*a**2 - 2*a - 1. Let y(t) = -5*v(t) + 6*x(t). Is y(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166569 = 278*h + 196037 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 + -1) - (-14 + 17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - s - 26 = 0, 3*f + 2*s = 7 + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -31*l**4 - 2*l**3\/3 + 301*l**2 + 2819. What is the second derivative of x(a) wrt a?\nAnswer: -744*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -5 - 5)*(-14)\/(-168). Let d be 10\/2*(-4)\/(-5). What is the nearest to j in d, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -682, -683, -684, -685?\n\"Answer: -h - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23879901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7*j**5\/24 + 2*j**4 - 98*j**3\/3 - 142*j. Let x(m) be the second derivative of h(m). Find the first derivative of x(q) wrt q.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -87, -235, -483, -855, -1375, -2067?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1368339 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*b**2 - 294*b**2 - 295*b**2 - 224*b**2 + 1116*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 less than or equal to 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n)\/n**(2\/17)*(n**(-3\/4)*n)\/n**2)\/((n**0)**(-28)*n**(3\/11)\/n**(5\/2)) assuming n is positive.\nAnswer: n**(3589\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2352) + 0)**2 - 4*(-2 + sqrt(48) + 1).\nAnswer: 208*sqrt(3) + 2372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 14*p - 3 + 4 + 15 = 0, -27*p + 29*p = 4*v - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920014?\nAnswer: 2, 173, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39357*5\nAnswer: -196785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/8928*62*(-7)\/(-3)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -427, -855, -1283?\n\"Answer: -428*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 458556416 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + 3\/((-6)\/(-4)). Suppose r = 3*u - 44 + 16, 3*u = -r - 16. Let q be 2\/(-5) + r\/(-55). Solve -2*l - l = -d + s, q = -l - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**3 - f**2 - f. Let j(n) = n**2 - n. Let k = -2789 - -2788. What is k*c(h) + j(h)?\nAnswer: -11*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 9*w - 67. What is j(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 7564900.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -24. Let n = y - -137\/8. Which is the third smallest value? (a) 0.5 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*j + 290 = -0*a, -a + 74 = j. Let n(t) = -84*t + 3183. Let y be n(37). Is a less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2. Let c(z) = -1533868*z**2. Determine r(c(g)).\nAnswer: 7058253124272*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -59\/3 (c) -33.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 12*q + 292. Let o be 174\/q*28\/(-8). Suppose o*v = 36*v - 315. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0. Suppose -7*w + 61 = 3*r - 2*w, -3*w + 15 = 0. Let s = 158\/13 - r. Put 0.2, 2\/3, o, s in decreasing order.\nAnswer: 2\/3, o, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 2, 255, 3, 0.2, 55?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*v - 46, -55587 + 55616 = x + 2*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 3*r - 9. What is t(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/2 + g**2 + 45*g\/2 - 63 = 0. What is g?\nAnswer: -7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 3*n = 92, -4*u = -0*u + 2*n + 237 - 213 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 + 28*b - 3. What is n(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 49, 48, 29, -14, -87?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:05 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-144)\/(-15) - 9)\/((-1)\/(-5)). What is the first derivative of 24*t**3 - 133*t**c + 121 - 2*t + 39*t**3 + 38*t**3 wrt t?\nAnswer: -96*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*y**3 + 433*y**3 - 89*y**3 - 99*y**3 - 126*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 2\/2751 (c) -8 (d) 1.7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d + 2*d. Put 0, d, -3 in increasing order.\nAnswer: -3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*n**3*x - n**3 - 775*n*x - 177735*n + 3*x wrt x?\nAnswer: 38*n**3 - 775*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 4, j: 2, e: 1, b: 2, f: 1}. What is prob of picking 1 f and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 415 = -29*c. Suppose 3*i = 3*a - c + 1031, -4*i = -3*a - 1263. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 662504540 by 331252270.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4089280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 6*p + 2. Let o(z) = -9*z**2 - 13*z - 4. Let v(g) = 3*o(g) + 7*y(g). Let w be -5*(-2)\/(-6)*3. What is the tens digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6837*-0.11.\nAnswer: 752.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -294120 divided by 152?\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 3*f, -4*f = u - 20. Suppose -f*d = -8*d + 52. Let p = -6 + d. Calculate the least common multiple of p and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3745762*o**2 - 3745762*o**2 - 1059*o**3.\nAnswer: -1059*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-20)\/r*r)\/r*r**(-35)*r**(-6)\/r*r**(-27))**(-41) assuming r is positive.\nAnswer: r**3649","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168853 is divided by 4221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 2. Let u be d(-2). Solve -4 - 1 = q - m, u = 5*q + 3*m + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9712479 and 462.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 0, 10, 24, 42, 64?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*x + 99, 2*d - 12*x - 184 = -9*x. Let w = d + -29. What is the derivative of w*r**3 - 11*r**3 - 6*r**3 + 3 - 28 wrt r?\nAnswer: 147*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/30)\/((-3)\/(-1740)). Let p(z) = z**2 - 5. Let s be p(3). Suppose -3*x = -b - 168, s*x - 4*b - q = -0*b. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2097499 (base 10) in base 9?\nAnswer: 3846204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**4 + 2*y**3 - 2*y**3)*(-12183 + 34106 + 21564 + 5996 - 12721 + 29196) as q*y + f*y**2 + c*y**3 + o + l*y**4 and give l.\nAnswer: 131916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let z be 4 + m + 5\/1. Let t = z + -5. Solve c + 3 = t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148 < 9149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61110, 122209, 183324, 244461, 305626, 366825, 428064?\nAnswer: 489349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 11*y**3\/6 + 2*y**2 + 2366*y. Let m(i) = 9 - 25 + 13 - 7*i. What is 5*l(c) + 7*m(c)?\nAnswer: 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09365 to 3 dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79976014 and 2?\nAnswer: 79976014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.5 - -74. Let g = -10 - -14. Which is the second smallest value? (a) i (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583484?\nAnswer: 2, 3, 7, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/4))\/w*w\/w**5*w*((w*((w\/w**(-5))\/w)\/w*w*w)\/w)\/w**0)**(2\/21) assuming w is positive.\nAnswer: w**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4222513881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) -6 (c) -2.6 (d) 0 (e) -0.5 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77494762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 3. Let p(r) = 3*r - 3. Give 3*f(t) + 4*p(t).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)\/y*y**19\/y*(y*y**7)**16)**(-28) assuming y is positive.\nAnswer: y**(-3920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56113034*r**3 - 280347275 wrt r?\nAnswer: -168339102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.081, -2, -0.1 in ascending order.\nAnswer: -2, -0.1, 0.081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 127, 249, 389, 553?\n\"Answer: f**3 + 103*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2154542 or -2154514?\nAnswer: -2154514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 3*q + 2*q**3 + (-4*q + 1 - 1)*(4 - q**2 - 4) in the form v*q + a*q**3 + d*q**2 + u and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2. Let b(f) = -9*f**3 + 5*f**2 - 3*f - 2. Let m(i) = b(i) + 6*d(i). Let h = 2 + -4. Is m(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -20*s**3 - 2*s**2 + 8*s + 6. Let w be f(-3). Let l = 954 - w. Suppose l = a + 4*a. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**2*x**2 + 40*h**2 - 549575*h*x**2 - 760*h - 25*x wrt x.\nAnswer: 34*h**2 - 1099150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -15*f - 39. Let r be f\/(-6)*(-5 - -4). Sort -1\/6, -2\/3, r in decreasing order.\nAnswer: -1\/6, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350513.9g to micrograms.\nAnswer: 350513900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.399 (b) 2\/9 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*n**2 - 59\/2*n + 30 = 0. What is n?\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -919911, -919972, -920033, -920094, -920155?\n\"Answer: -61*m - 919850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13949136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**4 - 123*p**3 + 30*p**2.\nAnswer: 3*p**2*(p - 10)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*v - 15, 2*v - v + 5 = 0. Suppose -2*n = -5*p + 28 - 267, -2*p + 6 = l. What are the prime factors of n?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55560 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1940)\/1455)\/((-10)\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32652 - 13*p + 32652 + 25*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14057 divided by -43?\nAnswer: -14057\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*a - 25 - 16 = 0, 3*a = 5*m - 253. Let v = -48 + m. Suppose v*d = -d + 72. Solve -3*p - d = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*n - 495*n + 34*n - 345*n + 181*n to o*n + k and give o.\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + sqrt(405))**2)*2.\nAnswer: -144*sqrt(5) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 602868 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 + 2*q + 0*q - 2*q.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 17 - 47 = 0. Let w(h) = -7454*h + 7454*h + k - h**2. Suppose 2*r + 3 = 3*r. Give w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(1\/5))*h*h**3)**(-36) assuming h is positive.\nAnswer: h**(-684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123 and -425.\nAnswer: -52275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.79 or -0.082?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 2, l: 5, b: 3, p: 1, g: 3}. Give prob of picking 1 g and 2 c.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/4 - 3*w**2\/4 - w = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, b: 4, t: 1, e: 1, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * -0.077451\nAnswer: -0.2478432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:06 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 78 - j + j + 2*j.\nAnswer: -2*j - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179 and 4117?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 47*r - 46*r - 10 = 0, m - 3*r - 14 = 0. Suppose 0 = 2*b + 3*b - 380. Calculate the remainder when b is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45906 by -3.\nAnswer: -15302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161995 is divided by 590.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-12))\/(2\/(-30)). Suppose -u*d + 7 = -8. Let l(y) = -12*y + 1 + 4*y**2 + d*y**2 - y**2 - y**3 + 13*y. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/33834 and -63\/2?\nAnswer: 33834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:20 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*1)\/((sqrt(90)\/sqrt(3))\/sqrt(6)) + (2 + (sqrt(7) - (sqrt(7) + 4)) + sqrt(567) + -1)**2.\nAnswer: -53*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a - 4*a + 19*a + 15*a + 18*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 1 = r, 71 - 59 = -3*r - 3*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236 + (0\/6)\/(-3 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v + 31. Let f be l(2). Let u be (f\/(-7))\/((-6)\/(-21)). Factor 3*i + 9\/2 + u*i**2.\nAnswer: (i + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**3 - 4*m**2 + 4*m - 2. Suppose 2*j + 0 - 4 = 0. Let s be c(j). Let k = s - 20. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-9))\/(-17) + (83\/(-72) - -1). Which is the second smallest value? (a) -1.9 (b) q (c) -5 (d) 2 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3780517 by -7.\nAnswer: -3780517\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -591*m. Let c(q) = 2*q**2. Calculate r(c(p)).\nAnswer: -1182*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 88?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 44061959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -4*x - 1172. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**3\/((g*g\/((g*g*g**(1\/2))\/g)*g)\/g**(-2)) assuming g is positive.\nAnswer: g**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**2*w**2 + 2*t**2*w - 5*t**2 - 5*t*w**2 - 2*t*w + 8*w**3 - 47*w wrt w?\nAnswer: -14*t**2 - 10*t + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 32*r**2 + 1641*r\/4 - 3051\/2.\nAnswer: (r - 3)*(r + 18)*(r + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 191 + 158 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 49*s + 95. Calculate u(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(c - 4*c + 4*c) - 1 + 2*c + 1.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 2. Let w be c\/21 - 2\/7. Suppose w = r - 0*r - 3*p - 26, -p = 3*r - 38. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1226.8477 + 0.1523. Let s = n + -1226.999994618. Round s to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -124*w + 483. Determine n(5).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34597989 divided by 3?\nAnswer: -11532663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.1 - 15.1. Suppose -f + 3*f = -8, o + 3*f = -15. Which is the second smallest value? (a) -2 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232 divided by -4.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 100 (b) -2\/101 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2856 = 4*r, -954*r + 959*r - 3605 = -2*j. Calculate the remainder when r is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + 13*a**2 + 3*a - 15. Let b be q(6). Calculate the greatest common divisor of b and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-27) - -3 - 4\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*o - 100 + 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181\/77 + -33\/7. Find the common denominator of h and -3\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*y + 310*y - 22404 = 17120 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 6*s + 27. Let o(h) = h**2 + 15*h + 5. Let j be o(s). Sort -5, 9, j.\nAnswer: -5, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1582 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**5 - 16*m**4 - 27*m**3 - 9*m**2 - 11*m - 11. Let w(n) = -3*n**5 - 5*n**4 - 9*n**3 - 3*n**2 - 4*n - 4. Let z(q) = 4*h(q) - 11*w(q). Factor z(r).\nAnswer: -3*r**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2632*i - 94687. Determine y(-36).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505877 (base 10) in base 9?\nAnswer: -2744606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(76) - -3*sqrt(76)) + -5) + 5)**2.\nAnswer: -960*sqrt(19) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 5. Let t be h(7). Suppose z + 4*g = t, -2*z + 3*g = -z + 12. Let a be (1\/z)\/(5\/(-9)). Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 3*h**7\/7 + h**3\/2 - 2*h. Find the second derivative of q(n) wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -77. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -11. Let y = -106459 - -106282. What is the smallest value in 4, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -867.5 and -2851.\nAnswer: 2473242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1495, 3, -4 in descending order.\nAnswer: 3, -4, -1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12696 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(48) + 2)*6.\nAnswer: 12 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.3 - -7. Let w = -237.2 - -232.2. Let t = 431\/6 + -72. What is the third smallest value in t, w, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320232 - 22313?\nAnswer: -2343100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 5*u - u. Let w = -17 - u. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 174132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536\/(-469)*(1064\/(-80))\/19.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*k - 1093 = 539. Let d be (96\/20)\/(6\/940). What is the greatest common divisor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 5*w**3 - 12*w**2 + 35*w - 680. What is v(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*(-3)\/(-57)). Let s = -16 + b. Suppose -s*h = -4*o, -2*o = -h - 4 + 2. Solve h*g + 25 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225*t - 553*t - 391*t as w + m*t and give m.\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26810116 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6*(2 - -1). Let t(z) = -z. Let i(u) = 2*u - 1. Let j(l) = 4*i(l) + 9*t(l). Determine j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j - j**4 - 1\/3*j**3 - 3 - j**2. List the prime factors of v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/40509 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 15*x - 33. Let b be l(22). What is the greatest common factor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*v + 10*v + v**2 + 3*v - 9*v in the form q + y*v + g*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (2 + -3*sqrt(242) - sqrt(242)))*-6 + (sqrt(242) + (sqrt(242) - (-4 + sqrt(242) + -3)) + sqrt(242) + sqrt(242) - (4*sqrt(242) + 5)))**2.\nAnswer: -5060*sqrt(2) + 128118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*f + 1531 = 2*w, 8 = 4*f. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1\/2, -1\/4, -161\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33 - 27 - (1 - 10). Let i be (176\/(-55))\/((-6)\/h). Solve 0 = -4*p + 2*d - i, 4*p + 2*d = 6*d - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29737 is divided by 330.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*d**2 - 989*d**2 + 14*d**2)*(2*d**2 + 3*d**2 - 4*d**2).\nAnswer: -1125*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -281445 times -0.033\nAnswer: 9287.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 5. Let r(q) = -q**3 + 3*q**2 - q + 3. Let j be r(3). Suppose w*u - 22 + 7 = j. Calculate the remainder when 10 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - 8) - (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03814859144 rounded to six decimal places?\nAnswer: 0.038149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Let z = 4.4 - 7.4. Let m = -1.9 + 2. Which is the nearest to u? (a) z (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113233 - 21?\nAnswer: -113320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(1300))**2*-5.\nAnswer: -19515 + 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -471476591124 take away -0.2?\nAnswer: -471476591123.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5*g**3\/3 + g**2\/2 - g + 43. Let f be j(1). Solve 4*t - 4 = f*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16237? (a) 2\/11 (b) 1 (c) -3 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25101 is divided by 135.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2. Let m(g) = -2*g**2 - 2. Suppose 5*t = 3*a + 3, 2*t - 3*t = 0. Let z(x) = -3*x**2 + 4. Let c(n) = a*z(n) - 2*m(n). Give s(c(v)).\nAnswer: -245*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 1\/2, 2\/5, -0.1, 2\/11 in descending order.\nAnswer: 0.6, 1\/2, 2\/5, 2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 805 by 39322.\nAnswer: 805\/39322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173.7 - 13.3. Let v = z + 186.9999913. Round v to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350083000.\nAnswer: 2, 5, 23, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/39 (b) -3 (c) 5\/4 (d) -51 (e) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -2*j + 46. Let t = 63 + j. Let u(m) = 165*m**2 + 4*m + 3. What are the prime factors of u(t)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.0348?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**2 + 96*g + 63. Let i(d) = 5*d**3 - d**2 - 8*d + 7. Let v be i(2). Let q(c) = 3*c**2 - 14*c - 9. Let j(r) = v*q(r) + 4*z(r). Factor j(y).\nAnswer: -3*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*v - 64, 7 = 5*g + v - 55. Let d = g - 8. Solve d*p = 0, 2*p + 3*p = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 14*q = -76. Calculate the highest common factor of q and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/160 - 43*z**4\/16 + 1849*z**3\/4 - 245*z**2 + 4. Factor n(g).\nAnswer: 3*(g - 86)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = -12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30929 is divided by 10091.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434 - 15?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:13 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195516 = 549*b - 552*b + 5*m, -5*b + 5*m + 325870 = 0. What are the prime factors of b?\nAnswer: 7, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 5*b**2 - 6*b - 8. Let q(t) = 16*t**3 + 25*t**2 + 30*t + 41. Let a(j) = 11*m(j) + 2*q(j). Let d be a(-4). Solve -d*k = -0*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -47\/7, -406?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -33*s**3 + s**2 - s - 1. Let y be 0 - (-1)\/((-3)\/3). Let v be z(y). Is v\/1 - (0 + 0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7674.03777 - 0.03777. Let o = -7697.014 + x. Let k = 0.086 - o. Round k to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:24 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.7 - 50.7. Let x be ((-2)\/4)\/((-3)\/12). Let j be (-1)\/(-3)*(-2)\/x. What is the nearest to 0.1 in j, i, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63437 is divided by 3520?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 198708580.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 + 18*n**2 - 5 - 2*n**2 - 7*n**2 + 3.\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131 and 1429.71?\nAnswer: 187292.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/6 - 107*d**3\/6 + 577*d**2. What is p(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w - 1. Let x(t) = 17*t - 2. Suppose -40 = 3*v - 23*v. Suppose v*u + 76 = 86. What is u*s(z) - 2*x(z)?\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 - 25415*l**2 - 382620*l + 1376460 = 0. What is l?\nAnswer: -18, 3, 5098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = j - 2*d, -5 = -j + d. Suppose -2*k = j*k + 16. Is k equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-45) - 1\/(3\/(-11)). Factor 2 - 4*h**2 + 40*h**3 - 16*h**3 - 24*h**n + 2*h**4.\nAnswer: 2*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -437 - 1103. Calculate the least common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44694*47.\nAnswer: -2100618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 3*v - 1. Let z(y) = 4*y**2 - 4*y. Let b(u) = -3*a(u) - 2*z(u). Let m = 94 - 90. Let j be b(m). Solve -5*i + j = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = 5*m - p, m + 6*p = 8*p - 57. Let s = m + 19. Let x be (0 + -2*s\/(-8))\/(-3). Which is the third biggest value? (a) 10 (b) x (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.177298123 to four dps.\nAnswer: -0.1773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 169*x - 2054. Let j be u(-19). Calculate the highest common divisor of j and 7067.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5760\/(-1872))\/(4\/(-26)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 9 = 37 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31844068*0.1\nAnswer: 3184406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557779230 divided by 347526.\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 0.1 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -573, -859, -1145?\nAnswer: -1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 1:53 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -14\/3*t**3 - 2\/5*t**5 - 2*t - 10 - 9\/4*t**4 - 9\/2*t**2. Factor o(j).\nAnswer: -(j + 1)**2*(j + 2)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**2\/11 - 1182*v\/11 + 1020.\nAnswer: 6*(v - 187)*(v - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:18 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (63\/30)\/3*(-8)\/(-14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 184, 280, 380, 484, 592?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 - 83 - m**3 + 83.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-4)\/(-5))\/(-1). Let q = 4 - y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 160867, 321728, 482589, 643450, 804311?\n\"Answer: 160861*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -4, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 2357.\nAnswer: 70.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**36\/m**(-35) assuming m is positive.\nAnswer: m**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-0.9553.\nAnswer: -1.14636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 6, v: 2, x: 1, e: 1, l: 4}. What is prob of sequence xvl?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.51 in 26, 5, -292?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -756 + 986. Calculate the highest common divisor of t and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*v - 85. Find the second derivative of v + 0 - 117*k**3 + k**2 + 133*k**3 + 42*k + 0 wrt k.\nAnswer: 96*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 divided by 56.\nAnswer: 179\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 - 2*g - 2. Is 15 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z**5 - 204*z**4 - 908*z**3 - 1552*z**2 - 576*z + 256 = 0. Calculate z.\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7689?\nAnswer: 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 2\/49 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 26*o**2 - 1. Let h be n(1). Suppose 2*k + 3*t = 25, 2*k + t = -2*k + h. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2159.99 - 2160.39. Let d = 0.2 - 0.1. Suppose -g - 9 = 2*g. What is the closest to 1 in k, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*w + 6663 + 1342, 0 = 4*k - 3*w + 15975. Let x = 5833 + k. What are the prime factors of x?\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2116529*t + 3948376 wrt t?\nAnswer: 2116529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*o + 197600 = 197582, 2*k = 5*k + 3*o + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44861, 44846, 44821, 44786, 44741?\nAnswer: 44686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11326 - 11324. Solve m*h = 17*h + 90 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010010011 (base 2) to base 14.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3 + 9*j + 2 - 3*j**2 - 13. Let z(q) = -7*q**2 + 19*q - 17. Let s(b) = -9*n(b) + 4*z(b). Give s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + 1012022202021?\nAnswer: 1012022210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.5 - -53. Let r be 2\/9 + (-3)\/(-108). Let g = -35\/44 - -6\/11. What is the third biggest value in n, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*j**3\/11 - 1134*j**2\/11 + 624*j\/11 - 8 = 0.\nAnswer: 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 189, 393, 693, 1089, 1581, 2169?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g + 5*l = -115000015, -22999994 = g - 2*l. Round g to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z. Suppose 3*m - 2 - 13 = z. Suppose 4*i - 41 = -3*x, 29 = 4*i + m*x - 18. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 6*sqrt(1008))\/(sqrt(27)\/sqrt(108) - sqrt(9)) + ((sqrt(539)\/(sqrt(22)\/sqrt(2)))\/(sqrt(7)*1*5)*4)**2.\nAnswer: -30*sqrt(7) + 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 127269.\nAnswer: 254538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 231493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5012 - 4932. Let p be 191\/(-7) - (-4)\/14. Let b = r + p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61721?\nAnswer: 11, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let n = 0.7 + 0.3. Let w = n - o. Which is the closest to w? (a) -0.3 (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92\/423 - -1894\/2961. Factor 9\/7*y**2 + r*y**3 + 0 - 6\/7*y.\nAnswer: 3*y*(y + 2)*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2334, -2170, -2010, -1854, -1702?\n\"Answer: -2*i**2 + 170*i - 2502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 times 0.1?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2484)\/(-45)*(3 - -2). What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2744 and 80605?\nAnswer: 644840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q + 38. Let b be t(2). Let x(d) = d**2. Let h(k) = k**3 - 7*k**2 - k - 6. Let y(l) = -h(l) - x(l). Let z be y(b). Is z greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103344141 to the nearest ten thousand.\nAnswer: -103340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 + 2*u**4 - 6*u**2 - 4*u**4)*(-9*u - u + u)*(3 + 3 - 3).\nAnswer: 54*u**5 + 27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(12)\/sqrt(4)*5 - ((sqrt(24)\/sqrt(4))\/sqrt(2) + -4)) + 4)**2.\nAnswer: -176*sqrt(3) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.95 + -0.05. Let v be 629\/5032 - (-1)\/4. Let n = -10 + 6. Which is the third smallest value? (a) x (b) n (c) v (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -74*v**3 + 85*v**2 + v + 143. Is t(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 32. Let y = 3.5 + n. Let x = 485\/7 + -69. What is the second smallest value in x, y, -2\/21?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8070 + 8075. Let h(p) be the second derivative of 0*p**2 + 0 + 11\/4*p**4 + 13\/20*p**g + 0*p**3 + 37*p. Find the third derivative of h(r) wrt r.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*m + 6, -153*m - 3*q + 1 = -151*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/12*(-16)\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.1774 + 0.2.\nAnswer: -14.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -347. Let t = x + -507\/2. Factor 0*a - t*a**4 + 1\/3*a**3 + 0*a**2 + 1\/6*a**5 + 0.\nAnswer: a**3*(a - 2)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24037000 to the nearest one hundred thousand.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -835\nAnswer: -8\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11308195*j**5*w - 2*j**2 - 10041478*j*w - w - 1 wrt j?\nAnswer: 678491700*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -28. Let h = d - 15. Solve -6*q - 3*q**3 + h*q + q**2 + 2*q**3 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8434 kilometers?\nAnswer: 843400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(343) + sqrt(343) + 1 + sqrt(343) + (-2 + sqrt(343) + sqrt(343)*4)**2 + 1.\nAnswer: -119*sqrt(7) + 8581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {n: 1, x: 6, y: 2, f: 2, m: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * 79.\nAnswer: -3871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 38192952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/289 - -947\/1156. What is the common denominator of -43\/394 and p?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 97737.79 micrometers?\nAnswer: 9.773779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 20*s**2 + 34*s + 13. Let b be o(23). What is the units digit of (-420)\/(-63)*b\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuussuofsu. What is prob of picking 2 u and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 8) in base 11?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**3 + 1 - m**4 + 7*m + 0*m - 5*m to f + l*m + a*m**2 + y*m**4 + s*m**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28020)\/3736)\/(2\/(16\/(-3)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/60 - y**4\/24 + 53*y**3\/6 + 30*y**2. Let h be i(7). Sort 9, h, -1, 2.\nAnswer: h, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4357079 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304944868*l**3 + 405369483*l wrt l.\nAnswer: 1829669208*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 344327, 36, 1\/5 in increasing order.\nAnswer: 1\/5, 36, 344327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.1690571 and 1366?\nAnswer: 1374.1690571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30207 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. What is the third derivative of -u**x - 7*u**3 + u**2 - u**3 - 4*u**2 wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2 - -13)*-1. Let r = v + 32. Calculate the least common multiple of r and (-1)\/(((-5)\/(-6))\/(-5)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6*j + 8*j - 3)*(5*j**2 - 2*j**2 - j**2) in the form v*j**3 + o + z*j + l*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/115605176 and -9\/20.\nAnswer: 578025880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - s = 37*r - 5626, 0 = -r - 3*s + 5634. What are the prime factors of r?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -654144.\nAnswer: -1\/163536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 155, 267, 423?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 111 = 1617. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 4. Calculate c(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 180823*f**2 + 361649*f + 5. Calculate x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 5\/9*b**4 - 1\/36*b**6 + 27*b**2 + 0 - 4\/315*b**7 + 0*b + 4\/9*b**3 + 1\/6*b**5. Determine i, given that y(i) = 0.\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:04 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**3 + 18*n**2 + 5*n + 5. Let g(m) = 3*m**3 - 19*m**2 - 4*m - 4. Determine 4*a(r) + 5*g(r).\nAnswer: -r**3 - 23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/12)\/(3\/(-2727)). Let d = m + -539. Calculate the common denominator of -70\/9 and (-1)\/2 - d\/(-88).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let j = 362 - 1811\/5. Let r = 0.1 + -0.2. What is the nearest to r in j, -1, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-1\/8)*(c**(-1))**30*(c*c**3)\/c**1*(c\/c**0)**(-1\/3) assuming c is positive.\nAnswer: c**(-1309\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335 = -29*g + 480 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 934 - -348. Let s = 2621\/2 - y. Find the common denominator of s and 133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + c + 1. Let v(f) = 53*f**3 + 2*f**2 + 18*f + 6. Let j(m) = v(m) - 6*z(m). Find the third derivative of j(s) wrt s.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:16 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4724 is divided by 2356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(185*r**5 - 2110*r + 2110*r) - 3*r**4 + 3*r**4 + 2*r**5.\nAnswer: -553*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(1 + 7 - 1)*(7 - 2 - 3)*(2*j**2 + 0 + 0 + (2*j + j - 5*j)*(-2*j + 3*j + j) - j**2 - j**2 + j**2).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -5*l**4 - 22*l**3\/3 + 26*l**2. Let w be i(-18). Suppose 8*y - w - 5316 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyqyyxq. Give prob of picking 2 q and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25912 + -2.26?\nAnswer: -25914.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) 0 (b) -1 (c) -22\/9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = s - d, -3*s + 61 = -2*d. Let l be s\/3 + 7 + 6. What is the greatest common divisor of 12 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45836.\nAnswer: 2, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - m - 3*m + (-10*m - m + 5*m)*(0 + 1 + 0) + 0*m + 2*m - m + 2*m - 4*m + m + (2 - 3 - 1)*(m + 3*m - 5*m) to v*m + a and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151010022 (base 6) to base 10.\nAnswer: 3127262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-10))\/(9\/18). Suppose -7 = z - p*t + 5*t, 3*z + 3*t = -12. Put -47, -0.1, 2\/7, z in ascending order.\nAnswer: -47, z, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20613*c**3 + 26. Let u(d) = 15459*d**3 - 20. Give -10*f(l) - 13*u(l).\nAnswer: 5163*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 466 - 414. Let q be (-8)\/d + (-178)\/26. Let p(h) = -h + 7. Calculate p(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 + 9*b + 1. Let u be j(7). Let z be (-4)\/u*(-6)\/(-4). Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/(k\/(k\/(k*k\/((k\/(k*k\/k**(8\/3)*k))\/k)))))**(7\/5)*(k**(-2\/43)*k*k\/k**(-1\/5)*k)**(-20\/9) assuming k is positive.\nAnswer: k**(-1707\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2. Let l(g) = -4502058*g. Determine k(l(w)).\nAnswer: 121611157412184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-3) - (-1 - 5). Let c be ((-52)\/16 + f)*-28. Suppose 0 = -c*a + 2*a + 245. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 5. Let f be u(5). Let h = 1 + f. What is the second derivative of r - h*r**3 + 6*r**3 + 6*r**4 + 0*r**3 wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (36\/(-6) - 0). Is -1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 96. Is 16 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/5)*k*k)\/((k**(1\/4)*k)\/k))\/(k**0*k)**(-17))**(-2\/5) assuming k is positive.\nAnswer: k**(-367\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -81?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (5 + (-14 - -1))) + -22 + 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 232?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -1073\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23)*(i*(i\/i**(-2\/3))\/i)\/i)**(-7\/2) assuming i is positive.\nAnswer: i**(469\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 9*a + 1. Determine b(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h - 2. Let c(x) = x**3 - x**2 - 3*x - 4. Let s(m) = c(m) - 2*f(m). Let l be s(2). Solve z = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0466816 + 0.071708. Let d = t - 0.025. Round d to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(5*sqrt(216)) + sqrt(88)\/(-5*1*sqrt(8)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - (-28266)\/(-364)) + (-4)\/(-26).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12 - 13\/(-4). Let y be 9 - 3\/(0 - f). Suppose 5*p = 15 + y. Solve 0*c - c + p = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5) + (-646)\/(-170) + 4\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, 1787 in descending order.\nAnswer: 1787, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2025)*-6)\/(sqrt(245) + -4*1*sqrt(245) + sqrt(245) + sqrt(245)).\nAnswer: 54*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.05 + -0.05. Let n = x + 0. Let f = 5 - n. Which is the nearest to 2\/9? (a) -2 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 25. Let i(g) = g**2 + g - 2. Let v be i(-2). Is 11 a factor of y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27820 - -26622. Which is the second smallest value? (a) -2\/3 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b = d - 0*u + 2*u - 20, -d + 3*u = -15. Suppose 2*x = -d + 316. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-24)*374\/(-11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*i + 22. Let c(h) = 14*h + 36. Let a(z) = 3*z + 7. Let x(b) = i*a(b) + 3*c(b). Differentiate x(t) with respect to t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/12)\/((-5432)\/(-776)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.95. Let q = 48 + -9. Let a = q - 38. Sort x, a, 1\/7.\nAnswer: x, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. What is the common denominator of 2\/n + (-554)\/84 and 11\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6097904 is divided by 1524472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 5*d**3 + 3*d**3 - 6*d**3 + 8*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisjusuksvsu. What is prob of picking 1 j and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14\/(b\/b**20)*(b\/(b\/((b*(b*b**(-12))\/b)\/b)))**(-33))**(17\/2) assuming b is positive.\nAnswer: b**(7293\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 4*a + 4. Let o(j) = 39*j**2 + 33*j + 33. Let n(t) = 33*l(t) - 4*o(t). Let q(y) = 19*y**2. What is -13*n(s) + 6*q(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 58.264 + -5\nAnswer: 53.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (52 + -25)) + 8 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.8131824 - 244.186839. Let m = n + 488. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.45918 nanometers to kilometers.\nAnswer: 0.00000000003345918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + 0 - sqrt(147))*6) + 0 + -5)**2.\nAnswer: -70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 11*f - 2*f. Suppose -378 = -f*d - 6*d. Let l(m) = 3*m - 29. What is the remainder when d is divided by l(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266825511.\nAnswer: 3, 463, 64033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6e176 (base 15) to base 13\nAnswer: c3bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**7\/35 - g**6\/75 - 2*g**5\/75 - 3*g**2\/2 + 4. Let l(t) be the second derivative of y(t). Let l(z) = 0. Calculate z.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((-7)\/(-5)). Let c = 54 - 24. Suppose p - c + 31 = 0. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**3 + 0*b**4 - 23\/10*b**5 - 7*b + 19\/2*b**2 + 0. What is the derivative of s(k) wrt k?\nAnswer: -138*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 + -60 - (20 - -3)) + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 767*p**4 - 37921*p**3 - 7784*p**2 + 2*p + 29.\nAnswer: 18408*p - 227526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 1176 = -11*y. Let k = 699 - y. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-9) - 4\/6. Suppose 2*o = k + m, 2*k - 2 = k. Suppose -25001 = -o*i - 8601. What is i rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffkmfakkf. What is prob of picking 1 k and 2 f?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 14 (b) 1\/9 (c) -3\/8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55418526 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*b + 2430784 = -4456754. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451075 and 480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - w**4 + 2*w**3 + 37*w**2 - 19*w**2 - 20*w**2 to the form s*w + v*w**3 + a*w**4 + k*w**2 + g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 5*t, -395*p + 396*p + 3*t + 5 = 0. Suppose -3*q - 10 = 2. Is (-15638 - q)*1\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 14*k + 3*k**3 + 31*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467\/6 - -78. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tutujjpurrpu. Give prob of picking 1 p, 1 j, 1 r, and 1 u.\nAnswer: 32\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 64\/117, -4, 1\/4, -132, -4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -7\/4, -2\/7, 149, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 - r**2 - 2*r. Let f be t(-3). Calculate the remainder when 7 is divided by (5\/(-15))\/(f\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 92. What is the nearest to -2 in z, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**3 + 399*q**2 + 2238*q + 3528.\nAnswer: 3*(q + 3)*(q + 4)*(5*q + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203091749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 7, h: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.2536 millilitres in litres?\nAnswer: 0.5832536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -35*o**3 - 2*o**2 - 3*o - 3. What is x(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*114480\nAnswer: 286200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -69\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0717608 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/((-1)\/(-3)). Let c(j) = -j**2 - 2*j - 1. Let u be c(w). Suppose u = 3*p + p - 28. Calculate the remainder when 46 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/((f\/(f*f\/f**(8\/9)))\/f))\/f*f**(1\/44)\/f assuming f is positive.\nAnswer: f**(449\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + sqrt(475))*-2 + 1)*1.\nAnswer: -10*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6356*j**3 + 36703*j**2 wrt j.\nAnswer: -38136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppww. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 26*v - 4220. Let z = v + -215. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156337 + 8281 = -62*t. Let k = t - 40594\/17. Factor 8\/17*z**3 + 0 + k*z**4 + 0*z + 8\/17*z**2.\nAnswer: 2*z**2*(z + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*b**3 - 4179*b**4 - 195*b**2 + 17*b**5 + 4179*b**4 - 253*b**2 wrt b.\nAnswer: 1020*b**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2674, -2749, -2914, -3169, -3514, -3949?\nAnswer: -4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 93 = -3. Suppose l*v = 57 - 17. Solve -x - 21 = -3*x + v*q, -3*x + q = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 7}. What is prob of sequence dmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Suppose -8*u = -o*u. Solve -2*g = -u - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16355 - 16352. Solve 0 = 43*x - t*x - 320 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.078976 millilitres to litres.\nAnswer: 0.007078976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3575, -2341, -39 in descending order.\nAnswer: 3575, -39, -2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6036853 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -1*(3 + sqrt(833) + -2 + 3 + -2)*6.\nAnswer: -42*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-198)\/30 + 6)\/((-6)\/4). Which is the second biggest value? (a) -0.3 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = 4*h - 46531, -h + 11620 = -4*i. Let o = h + 6801. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5123184 weeks to days.\nAnswer: 3.5862288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 430*d**3 + 214135*d**2 - 432490*d + 5000.\nAnswer: 5*(d - 2)*(d + 500)*(86*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 24*t - 4)*(-56*t**2 + 889*t**2 + 254*t**2 + 5*t**2 - 97*t**2 + 1411*t**2) in the form o*t**2 + g + m*t + i*t**3 and give i.\nAnswer: 57744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171253, -342508, -513763, -685018?\nAnswer: -856273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*r + 130, -1640 = 3*b + 252197*r - 252132*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2 - f**2 + 7*f**2 + 10*f - 2*f**3 - 4*f**2 + 0. Let o be k(7). Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.24 + 0.34. Let p = t + -0.1. Suppose -4*x + 5*g = -15, -3 = x - 3*g + 4*g. Which is the second smallest value? (a) p (b) 1\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -1 - (12 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -1205*v**5\/3 + 5452066*v**4 - 9948533*v**3\/3 - 2153584*v**2 + 54292*v\/3 = 0.\nAnswer: -2\/5, 0, 2\/241, 1, 13573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Which is the nearest to -1? (a) l (b) 0.2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*g + 3 = 0, -16*y + 7 = -17*y + 139*g - 137*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + 500. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 + 2*b**5\/15 + b**4\/4 - b**3\/2 - 2*b**2 + 3*b - 670. What is i(5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993278 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let b = 0.15 - -0.05. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15137757 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18428 is divided by 18428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) 1 (c) 2 (d) 14 (e) -0.1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.7, -0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403214?\nAnswer: 2, 7, 83, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 3, -2015\/462, -0.5?\nAnswer: -2015\/462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458056489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s. Suppose -7 = 5*l + 4*w, -w - 1 = l + l. Suppose -i + 2 + l = 0. Let c(m) = -i*m - m - 2*m + 3*m. What is c(v(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.942*0.06\nAnswer: -0.05652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6509 (base 12) to base 13\nAnswer: -5088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93256\/280 - (-4)\/(-70). What is the greatest common factor of s and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 437855872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssyh when four letters picked without replacement from {h: 5, s: 5, y: 4}.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -21*f + 5. Let j(r) = 8*r - 2. Let k(v) = 2*h(v) + 5*j(v). Let g(x) be the first derivative of -10*x**3\/3 - 1. Determine g(k(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 2. Let v be (1 + -3)*(-5)\/d. Suppose -4*r = v*x - 3*x - 6, 0 = -4*r + 4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 - 379 = -5*p, -185 = -2*p + 5*r. What is the lowest common multiple of 6\/(-21) - (-282)\/7 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.42016 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/14 + 289\/21. Calculate the common denominator of -119\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -7) + (-11 + 14\/2)*-8. Let j = 45 + -46. Put j, d, -1\/9, -0.1 in descending order.\nAnswer: d, -0.1, -1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*p**2 + 438*p**2 - 871*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15832.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 + 3*n - 2. Let d be y(1). Let h = d + 20. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55654297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -33*l + 304. Calculate the lowest common multiple of 95 and l.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/9276 and -13\/2280.\nAnswer: 1762440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 + -208. Let i = 56 + g. Which is the third biggest value? (a) i (b) 4\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w + 1. Let j be v(-1). Let a be j\/(-1 + (-99)\/(-96)). What is the greatest common divisor of a and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 13, 3, -255\/8, -1\/30, -1\/4?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, p: 3, y: 2, k: 3, v: 2}. What is prob of sequence kek?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (2 - (13 - (-2 + 5)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - -8) + -17 + (15 + -1 - 4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 2. Let f be 1 + 1 + 462\/(-6). Let y = -82 - f. Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3 + 12. Find the third derivative of 3*a**i + 3*a**4 + a**2 - a**3 - 2*a**3 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*f**3 - 19*f**2 + 1248*f + 10 wrt f.\nAnswer: 930*f - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.94 - 0.06. Let x = -5 + 26. Suppose -x*z = -112 + 7. Sort z, -3\/8, 40, c in ascending order.\nAnswer: c, -3\/8, z, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 24. Let c be l(0). Suppose c*s = 25*s. Suppose s = 4*p - 25 + 5. Solve 3*h = p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-24))\/((-810)\/(-15120))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79.857 + -0.143. Let u = -34 - 51. Let t = u - p. What is the second biggest value in 1\/5, -1, t, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/237843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(0 - 2*q + 0) + (2*q + 0 + 0)*(0 + 5 - 10)*(-4 + 1 + 1) in the form o + u*q and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let b(g) = -141*g**2 - 15*g - 15. Let t(a) = 20*a**2 + 2*a + 2. Let j = -132 - -117. Let f(m) = j*t(m) - 2*b(m). What is z(f(l))?\nAnswer: 324*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 785.7301 millennia?\nAnswer: 78573.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = 5*t. Let v be -3 + -3 + 14 + -4. What is the derivative of -2 + 3*r**v - r**4 + t wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, o: 2, i: 9}. Give prob of sequence oo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1048.57 - 0.59821164\nAnswer: -1049.16821164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - (-213400)\/3050) + (921\/183 - 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - k - 2 = 6, -3*x + 4 = -k. Suppose 0 = -2*d - 8, 2*p + 2*d = -p - x. Suppose 0 = -r - p + 4. Solve 0 = -2*h - r*f - 8, 3 = 2*f + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 104*m**3 - 101*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462825035, 462825036, 462825037?\nAnswer: 462825038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 + 9*q**2 - 9*q**2. Let o(j) = 5*j. Let s(t) = -24*t. Let a(d) = 14*o(d) + 3*s(d). Calculate a(m(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*t - 276*t - 12774 = 111*t - 3094 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20196745708 + 20196755944.340011. Let m = 10227.14 - q. Let i = m + 9.2. Round i to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -16. Suppose -c + 5216 = 3*c - s*l, 1320 = c - 5*l. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/14)\/(28\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**6 + 4*o**4 + 16*o**2 - 15*o wrt o.\nAnswer: 960*o**3 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a**(-1\/18))\/(a**(-1\/13))**(-6\/13) assuming a is positive.\nAnswer: a**(48395\/3042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6012.4719837635.\nAnswer: -6003.4719837635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 11 + -5 - (-1 + 1). Let l = 0 + g. Solve l*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*w + 106*w + 570*w + 2112 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59521 or 0.8?\nAnswer: -59521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:02 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.039774472.\nAnswer: -0.019887236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10a (base 12) to base 10\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -0.5 (b) 2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**2 + u**3 - 3 - 6*u - 4*u**3 + 2*u**3. Suppose 5*v - 20 = 0, -8*v + 3*v = -4*r. Suppose r*b + 6*s = 2*s - 41, -b = -s + 1. Give z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 12*w**2 - 32*w + 25. What is z(5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2700)\/(-120)*(-3)\/((-660)\/16)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/4))**(21\/2)\/((g*g**(2\/3)*g)\/g)**12 assuming g is positive.\nAnswer: g**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158512?\nAnswer: 2, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*f**2 + 15*f**2 + 222*f + 48*f**2)*(f - 1 + 3 + 0*f).\nAnswer: -3*f**3 + 216*f**2 + 444*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -932 + 3613*r**4 + 934 - 8*r**2 - 17*r**2 + 7*r wrt r.\nAnswer: 86712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -259 + 292. Find the third derivative of 12*v - v - 5*v**2 + v**2 + 56*v**3 + a*v**3 - 9*v**3 wrt v.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -289 and 92526014124.\nAnswer: 92526013835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 1766273123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -32*b - 9. Let u be l(-9). Suppose 10*x + 79 = u. Calculate the least common multiple of 28 and 25 - -4*(-25)\/x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 49 in descending order.\nAnswer: 49, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010110102120 - 0?\nAnswer: 22010110102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20943648 divided by -2617956?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1506790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 403 + 3282. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 1\/9 (b) -1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31894.\nAnswer: 2, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 20. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 3*p - 5. Suppose w - 13 = 3*w - 3*i, 7 = w + 3*i. Let q be (-7)\/(-7) - (1 - w). Let n be (q\/(-3))\/(2\/15). Calculate c(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.91101939 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 1 = 6*i. Let b(j) = 5 - 4 - 3*j**3 + 0*j**2 - j**2. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7014605 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-85)\/7 - (-45)\/315. Let l be ((-100)\/40)\/(5\/b). Let d(v) = 4*v + 5. Calculate d(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 - 26*q + 48. List the prime factors of b(9).\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142420 (base 5) to base 12\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. What is the smallest common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3223\/518 + -32\/37. What is the common denominator of a and -42\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 125, 218, 343, 512, 737?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -643, -2550, -5723, -10156, -15843?\n\"Answer: u**3 - 639*u**2 + 3*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4818 + 4851. Suppose 67 = 2*n - 0*l + 3*l, 0 = -3*n + 3*l + 93. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(2) + 3)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbgb when four letters picked without replacement from sssbssccssgscscg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from {u: 3, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/720 and ((-2945580)\/(-6912))\/55 + 0 + -8.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01272 + 30.51728. Let w = d + -32.711. Let o = w - -2.2. What is o rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -42*f**2 + 6*f. Let z(m) = 42*m**2 - 5*m. Give 5*r(a) + 6*z(a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4763430 and 1050?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*22940.\nAnswer: 91760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 5*u + 4*u + (-14 + 31 + 35)*(2*u - u + u) as y*u + f and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:40 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b - 1, 7 = 3*p - b. Suppose -3*z - 20 = 2*z, p*d + 4*z = 5. Suppose d*j - j = 450. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 10*f**2 - 8 - 5 - 10*f + 1 + 3. Let k be l(-9). Is k - 2\/2*-43 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3894651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9 + 861\/(-98))\/((-60)\/(-574)) and 125\/1806?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 58. Let c(m) be the third derivative of 7*m**4\/6 + m**3\/2 - 7*m**2. What are the prime factors of c(h)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 6. Solve u*b + 2*b - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6897 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305441550 divided by 226253.\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5181 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 10*b**2 - b - 11. Let p be t(-5). Let q be p\/45 + -2 + (1 - -1). Let s = 4.3 + -7.3. Sort s, q, -2, 5 in decreasing order.\nAnswer: 5, q, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*q - 83. Suppose -4*l + 62 = -t, 5*l + 11 = t + 88. Calculate the remainder when q is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 5) in base 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 34 = -g. Let a = 51652\/195 - 3440\/13. What is the common denominator of -4*(-2 + (-199)\/g) and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 220?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14599621 (base 10) to base 9.\nAnswer: -30421821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**5\/25 - 7*y**4\/20 - y**3\/15 + 7*y**2\/10 - 2*y\/5 - 2. Suppose o(r) = 0. Calculate r.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2660 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/62428 and 97\/1061276?\nAnswer: 1061276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d. Suppose 0*k = 7*k - 28. Let t(x) = 14*x - 4. Let r be t(k). Let n(q) = r*q**2 - 4*q - 50*q**2 + 4*q. Determine h(n(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 3.02. Let c = -4 - i. Let a = c + 1.04. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(-z - 27 + 27)*(1 - 1 - 2)*(-66 + 136 - 53).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -122420412 divided by 4689\nAnswer: -26108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4544, -4543, -4542, -4541, -4540, -4539?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8723 divided by -22?\nAnswer: 793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*p + 8 + 11, -5*s + 5 = p. Let r(y) = 0*y + 8 - 3 - 41*y**2 - 5*y + 6*y**s. Let t be r(2). Round t to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4030*v**2 - 9*v + 14. Let g(h) = -2687*h**2 - 5*h + 9. Let t(o) = 8*g(o) - 5*k(o). Find the second derivative of t(a) wrt a.\nAnswer: -2692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29488 and 3344?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 times -13.0736\nAnswer: 2.2617328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.80495222 + 319667?\nAnswer: 319671.80495222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 5*s + 7. Let n be d(-5). Let m(w) = -2*w + 12. Let o be m(n). Put -5, 1, o in increasing order.\nAnswer: -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183408124 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 41793389 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5711977.\nAnswer: 83, 68819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335 + 330. Let q(v) = -4 - 18*v - 1 - 13*v + 30*v. Let h(b) = -5*b + 4*b + 4*b - 2*b + 4. What is m*q(l) - 6*h(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40351\/1044 + -26\/261. Let t be ((-15)\/20)\/(22\/1154). Let u = i - t. What is the common denominator of u and 73\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32 (b) 2\/11 (c) 0.4 (d) -4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18*n - 3. Let p be l(1). Let o = -12 + p. Solve 5*b = o*q + 5, q = -0*q - 5*b + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 3. Let s = 32.9 + p. Let l = -4 - s. Which is the second biggest value? (a) l (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 356*w**4\/3 + 293698*w**3\/3 + 20240186*w**2 + 60087728*w\/3 - 339488\/3 = 0.\nAnswer: -412, -1, 1\/178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 58. List the prime factors of (-5 + i)\/(4\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529943.86 rounded to the nearest one thousand?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.3 + 25. Sort 3, -2\/7, j in ascending order.\nAnswer: j, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from kddkww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -90 and -90 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*a + 114988 - 35808 = 0, 0 = -3*m + 9*a + 59409. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(135)\/(sqrt(108)*2) + -1*((-3*sqrt(720))**2 + -4)).\nAnswer: -38856 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685682*j**2 - 55*j**3 - 685682*j**2 + 2*j.\nAnswer: -55*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1539 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 575 + 0?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009249 to six decimal places.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101287017 to the power of 1\/2, to the nearest integer?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -13, -34, -63?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 211\/812 - 2\/203. Which is the closest to 0.1? (a) 2\/7 (b) -0.0306 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 18 = 9. Suppose s + 3*q - c = 0, -6*q + 2 = -4*q. Put -1, s, 3, 2 in descending order.\nAnswer: 3, 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1431508365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 586 - 589.06. Let x = 44.44 - s. What is x rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(1\/(-15)). Let h(b) = -b + 3*b + 2 - 4*b. What are the prime factors of h(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*n + 44*n + 9. Let l(v) be the second derivative of 1\/3*v**3 - 1\/36*v**4 + 0 + n*v - 3\/2*v**2. Factor l(m).\nAnswer: -(m - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*s + 1. Is 6006 + (-91)\/(-77) + 2\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3139*k**4*v - 22169*k**4 + 10*k**2*v - 1007*k**2 - 8*k*v + 2*k - 17*v + 3 wrt k?\nAnswer: 75336*k*v - 532056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 - 11563\/28. Let l = -140011\/4 - -8820505\/252. Calculate the common denominator of u and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 3, w: 5, a: 2, p: 2}. Give prob of picking 2 w and 2 a.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 16*g**2 + 97*g + 1549. Give l(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345*p**2*x**3 - p**2*x + 3*p**2 + 1412*p*x**4 + 2643*p*x**2 - p - 22*x**2 wrt x?\nAnswer: 2070*p**2 + 33888*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 1:08 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/273 and 7\/13590096.\nAnswer: 95130672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 398063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (175 - 171) - (0 + -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 60737 = z + 4*l, -3*z + 182171 = 4*l. Let i = z - 6729. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 3*a**2 + 6*a + 8.\nAnswer: -(a - 2)*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5165 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7343 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 5 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*k**2 - 107*k**2 + 287*k**2.\nAnswer: 418*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 78427170?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 6. Let p(c) = -c**3 - 6*c**2 + 26*c - 5. Let m be p(-9). What is s(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 2. Let f be s(-3). Let t = 10916 + -10887. Suppose f*v = 9*v + t. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11885 divided by -5\nAnswer: -2377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 5*c - 16. Calculate the remainder when r(4) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 72326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 15, -5*q = 24*i - 19*i - 21870. What are the prime factors of i?\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12509\/3 + 4170. Let s(g) be the first derivative of -g - d*g**3 - 6 - g**2. Determine w so that s(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1359610, 2719224, 4078838, 5438452?\n\"Answer: 1359614*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52977, 105932, 158883, 211830?\nAnswer: 264773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967355152?\nAnswer: 2, 53, 1140749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from tjpttjpj?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let f be z(-4). Sort f, -0.2, -3 in descending order.\nAnswer: -0.2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-32)*-14*(-158)\/13825?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-68) + 7665\/(-595)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 - 6931705*j**3 - 2402437107825*j**2 - 7207179621515*j + 24024163128050 = 0. Calculate j.\nAnswer: -693169, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -473953 or -473952?\nAnswer: -473953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-17))**(2\/29) assuming w is positive.\nAnswer: w**(-30\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 8*o**2 - 7*o + 9. What are the prime factors of b(-7)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/21 (b) 1\/4 (c) -0.1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5)\/4 + (-22 - (-12135)\/540)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*q + 4, 5*q - 60 = 3*z + 2*q. Let t = -0.3 + 0.4. Let l = 232 + -231.5. Which is the nearest to z? (a) l (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:51 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (0 - (-58 + 23)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045655 rounded to 5 dps?\nAnswer: -0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.25 (b) 11 (c) 0 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/7645 + -498511\/932690. Let k = u - -2\/61. Let o = -0.4 + 0.5. Which is bigger: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -10*w + 85, -4*w + 6*n + 20 - 25 = 5*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27068*h**2 + 7108*h**2 - 12959*h**2 + 47 - 47.\nAnswer: -32919*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.06 - -2.46. Suppose -3*q + 8 + 1 = 0. What is the nearest to -2 in 4\/7, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -32*i - 1. Let u(j) = -29*j. Let r(k) = -7*u(k) + 6*x(k). Let l be r(1). Put 1, -1, l in increasing order.\nAnswer: -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-10)\/(-4))*(-3 + -31). Let c be m - (-2 + 10)\/2. Let i be (-36)\/c + 24\/(-14) + 2. Solve -o + i = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g**2 + 8*g**2 - 28 - 7*g**2 + g**4 + 20 in the form r + s*g**2 + b*g**3 + h*g**4 + k*g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -11. What are the prime factors of (16 - i) + 3*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 45. Let h(n) = n**3 - 13*n**2 + n - 4. Let v be h(o). Suppose 10*i - v*i - 4 = 0. What is the least common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, g: 2, p: 1, q: 1, c: 1}. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*d, 5*i + 2 = 6*i + 5*d. Let n be i\/(-2)*(-2 - -3). Let k = n - -16. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:53 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 3*s + 3, 4*d - 3*s = 3. Let n be (9\/(-2) + 3)*(-2 - 0). Suppose n*l - 40 + 28 = 0. Solve d*o + t - 7 = 0, l*o = 3*o + 5*t - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2668342 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720.22 decades to millennia.\nAnswer: 7.2022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -89 (b) -369 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7321 - 31. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 8:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4, -1\/2, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 8*q - 9. Let a(r) = -r**3 - 5*r**2 + 5*r. Let m be a(-6). Calculate the smallest common multiple of g(m) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5. What is the closest to u in 0.9, 5, -2\/9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6668.53 - -6667.53. Let p = -1 - -1.1. Let v be (-5)\/(-22)*8 - 2. Which is the nearest to -0.6? (a) p (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n = 0. Let q be 26\/(-3) + 8 - 16\/(-6). Solve n*r - r = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*z - 2 = 584*z. What is the fifth biggest value in -0.1, -2\/9, z, -0.077, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 15*z - 11*z + 11*z + 16*z. Let l(i) = i**2 + i - 1. Let t(r) = 7*r**2 + 6*r - 6. Let u(a) = 6*l(a) - t(a). Determine f(u(b)).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -150635 and -151184 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j + 75201 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*a = 1147*a - 49 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**(-1\/21))**17*(c\/(c*c\/(c**(-2\/5)\/c)))**(-12)\/(c\/(c*c**(2\/13))*c*c*c**(-4\/5)\/c) assuming c is positive.\nAnswer: c**(115537\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 0*l)*(0 + 0 + 3*l) + 0*l**2 + 0*l**2 - 3*l**2 + (0*l + 0*l + 2*l)*(2*l + l - 5*l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*d = 946564 - 942879 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5.64 (b) 7 (c) -1\/3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j**(-7))\/(j\/(j\/(j**(1\/3)\/j)))**(-1\/11) assuming j is positive.\nAnswer: j**(-239\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1959, 3931, 5901, 7869, 9835, 11799, 13761?\n\"Answer: -d**2 + 1975*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 175661*y + 904*y**2 - 175661*y as w*y + x*y**2 + p and give x.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**(2\/23))**36\/(((z\/(z**1\/z))\/z)\/(z*z*(z**(-2)\/z)\/z))**(27\/4) assuming z is positive.\nAnswer: z**(-573\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.2. Put 0.2, -0.5, j in ascending order.\nAnswer: -0.5, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2\/11, 1, -3.437, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - 22 - -17 - -73.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/33 and -7\/30858.\nAnswer: 339438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-2 - -5) - -4. Suppose -z + 6 = -s. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 4. Let v(l) = 27*l - 22. Let g(j) = -33*h(j) + 6*v(j). Let k(d) = 15*d**2. Give g(k(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26746913*u**2 - 53493775*u**2 + 26746866*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43529724 is divided by 944.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 4 (c) 2\/3 (d) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328823272.74 take away -0.2?\nAnswer: -2328823272.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -49*o + 3. What is the tens digit of g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - 7)*(-2)\/70)\/((-60)\/(-70)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 32*a**2 - 2*a**2 + 2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3, 2*g - 3*v + 67 = 7*g. Suppose 3*f - 151 = 209. Let b = f + 34. What is the highest common factor of g and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 483, 1835, 4091, 7251, 11315?\n\"Answer: 452*a**2 - 4*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -51, -54?\n\"Answer: -3*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 276167 > 77\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5.2, 2\/3, 0.4, -3\/5 in descending order.\nAnswer: 2\/3, 0.4, 0.3, -3\/5, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32609151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 2*d - 4. Let h be o(6). Suppose 38 - 2 = -3*n. Let y be -4*(-2 + n\/16). Calculate the greatest common factor of y and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -653*0.59\nAnswer: -385.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2275346, -2275318, -2275290, -2275262, -2275234, -2275206?\n\"Answer: 28*k - 2275374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4)*8\/(-1). Let s be 58\/18 - g\/90. Suppose 3*y - 2*y = -3, s*n - 30 = 5*y. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 514985036 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1073270 and 97570?\nAnswer: 1073270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 67*x**2 - 141*x - 1493. Give s(-32).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 5) in base 16?\nAnswer: af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.011 - 0.211. Let d = b - -0.622. Let u be 1 - 1*(-2 - -1). Put -2\/13, 0.6, u, d in descending order.\nAnswer: u, 0.6, d, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(264) + sqrt(264) + 5*(sqrt(264) - sqrt(264)*1) + sqrt(264))\/(sqrt(48)\/sqrt(4)*-3))\/(-1*(-1*sqrt(72) - sqrt(200)*-2)).\nAnswer: sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 16, s: 1, p: 3}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 68650915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*j - j + 7 = 0, -a = -j - 2. Suppose a*f - 12 = -0*f. Suppose f*z = k - 3, z - 4*z + 9 = -3*k. Is -12\/11 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1) + (-12)\/(-10). Which is the second biggest value? (a) 0 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5*f**4 - 6*f - 18. Differentiate j(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 111 - 144 = -2*h, 22 = -2*d + 3*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20 + 11 + 9 + 5*x. Suppose 2*n - 3 - 13 = 2*w, 0 = 3*n + 2*w - 49. Let i(s) = -11*s. Calculate n*h(t) + 6*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14443*w**2 + 8*w + 4. Let g be x(6). Round g to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -4*c + 77 + 104 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 151*p - 146*p - 15. Suppose 3*g = -p*d + 5 - 2, 5*d - 35 = 5*g. Are -39\/10 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 9)\/1 - 3. Suppose 3*j - s = -j. Let n be ((-4)\/(-3))\/(26\/39). Calculate the highest common factor of j and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33368*q**4 - 2804*q**2 + 2*q.\nAnswer: -800832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*n + n. Suppose -u - 2*u = -n. Let b(p) = -p**3 + p**2 - p. Let c(l) = -6*l**3 + 9*l**2 - 7*l + 4. Let f(w) = 4*b(w) - c(w). What is f(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 3\/7, 88?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 11 - ((-8 - -24 - 17) + (2 - 11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/19))**(-6)*((x*x*x\/(x\/((x\/(x\/(x*x**(-2\/7))))\/x)))\/x*x)**23)**(-15\/4) assuming x is positive.\nAnswer: x**(-33975\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -255078698 divided by 4181618?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -33749?\nAnswer: 1\/33749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r\/(r**(-34)\/r)*r)\/r)**(-42))**(-13\/6) assuming r is positive.\nAnswer: r**3458","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -392 - -5882\/15. Let m = -1 - 1. Let j = 3 - m. Sort 0, w, j in descending order.\nAnswer: j, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from uyyuuuu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 115*f\/6 - 19\/6.\nAnswer: -(f - 19)*(6*f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 > 660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 2*p + 2. What is t(-4)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*i + 944, -2*l + 5*i = -419 + 30. Suppose 10*w = -w + l. Let a(s) = 4*s - 6. What is the remainder when w is divided by a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 - 0 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = -2. Suppose 0 = -2*n + c*d + 31, 6*n = n - 3*d. Solve 0 = n*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-15))\/(1\/(-5)). Let j(a) = -1 + 0*a**d - 6 - a + 0*a + a**2. Give j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(9*2\/300). Suppose -5*o = -4*m - 0*o + r, 0 = 5*m - 3*o - 125. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 5) in base 3?\nAnswer: -220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 - 1714*g - 6866. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.395 + 0.228. Let x = j + 0.467. What is the closest to -7 in -5, -3, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178 = -q - 1181 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56141832 is divided by 51.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2075 + -1162. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599.7581 - -631.6. Let w = 31.8 - q. What is w rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00566 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 171*x + 86 - 1120 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**2 + 0*f - 2 - 5*f + 4*f + 38*f**2 to the form o*f**2 + w*f + x and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 19*j**2\/2 - 15*j = 0. What is j?\nAnswer: -3, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.773 - -14.99. Let y = p + 1.283. Let j = 0.8 - -0.2. Put 3, y, j, 3\/7 in increasing order.\nAnswer: 3\/7, y, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 39*q**2 + 18*q - 43. Let y be i(-20). Let a(v) = -3*v**2 + 11*v + 18. Let k(z) = z**2 - 4*z - 6. What is y*a(u) - 8*k(u)?\nAnswer: u**2 - u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 5*j + 15. Let h(u) = -2*u**2 - 6 - 4*u**2 + 2*u**2 + 5*u - u**3 - 8*u. Let s be h(-4). Solve 0*q - j*q - s = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(76)*1*4*5)**2.\nAnswer: 39398400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w - 1. Let g = 4 - 0. Suppose 2*n - 4*n + g = 0. Suppose -8*i = -4*l - 9*i - 36, -4*i = 0. Let u(t) = -17*t - 5. Give l*j(d) + n*u(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**3*t**3 - 34526*l**3*t**2 - 4*l**3*t + l**2*t**2 + 8333*t**3 wrt l.\nAnswer: -24*t**3 - 207156*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 12:53 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 220032713 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + w + 7, 2*l - 4*w + 2*w = 4. Let s = -1\/508 + -419\/45212. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31174624*k**3*n + 122*k**2*n + 3*k**2 - 26*k*n + 3*k - 11*n + 1 wrt k?\nAnswer: -187047744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -42 - (14 - 7 - -19).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.76 + -8. Let b = m - -0.04. Let r = b + -0.02. What is r rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/246)\/(((-258)\/693)\/43)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -146 + (62 - 36) + -26\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-8) - 40\/160. What is the second biggest value in 1, 0.7, w, -1\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 285 = -33*z. Let g = 33 + -31. Suppose -g*y = -y - z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86 and 18?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3 + 3212*j**2 - 8600*j + 4304.\nAnswer: 2*(j - 2)*(j + 538)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -17) + (-1 - 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1019*y + 1 + 1126*y)*(-3*y - y + 3*y) to the form x + m*y + b*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/18*108\/(-45)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443 - 455. Let w be -2 + c\/(-8) + 27\/6. What is a in 8\/5*a**2 - 4\/5*a**w - 2\/5*a**5 + 4\/5*a**3 - 4\/5 - 2\/5*a = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/114 + 32*x**3\/57 - 105*x**2\/19 - 361*x. Factor n(h).\nAnswer: 2*(h - 3)*(h + 35)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 5)*(-72 - j + 107 - 65) - 3 + 3 + 3*j + (-2*j - j + 2*j)*(1 + 1 - 4) - 5 + 5 + 2*j + 0*j - j + 0*j.\nAnswer: 4*j - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j - 10436. Let d(s) = -3*s + 3517. Determine 11*d(g) + 4*h(g).\nAnswer: 3*g - 3057","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/54758 and 35\/4598.\nAnswer: 602338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*m - 66*m - 5*k - 1385, 5*m + 2*k - 3419 = 0. Which is the second smallest value? (a) -5 (b) -0.3 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/((-167)\/(-109552)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1*62\/(-22). Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329296393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1731 and -2.\nAnswer: 0.3462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10446, 15436, 20426, 25416, 30406?\n\"Answer: 4990*i + 5456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 3202 - 3199 - g - 7*g**2 + 6401.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxxx when four letters picked without replacement from xjxjjxxxxxxxxx.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.5792106 - -51.6492. Let w = -3251.93 - -3252. Let j = k - w. What is j rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1116 + -1114.8. Which is the biggest value? (a) o (b) -2\/15 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -154750, -154917, -155364, -156229, -157650, -159765, -162712?\n\"Answer: -23*p**3 - 2*p**2 - 154725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5390 and 10780?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265869194 to the power of 1\/2, to the nearest integer?\nAnswer: 35579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2462 + -4554635?\nAnswer: -4552143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by -2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 14427.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 68 - -29 - 43 - 27\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4881 = -2*k, 2937 = 3*s - k - 2*k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 14. Suppose -4*n + 27 = 2*d + x, 4*d - 8 = -2*n. Let m = d - -4. Solve 0 = -2*b + m*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63831 - -305287.\nAnswer: 305287.63831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/2)\/n)\/(n\/(n\/(n*(n\/(n*n\/(n\/(n*n**(-1)*n))))\/n*n))))\/((n*n**(-1\/7))\/(n*(n\/n**3)\/n)) assuming n is positive.\nAnswer: n**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.0694 to 1 decimal place.\nAnswer: -85.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 3\/5*x**2 + 0 - 3\/25*x**5 + 13\/300*x**6 + 17\/15*x**3 - 71*x - 23\/40*x**4. Solve d(f) = 0.\nAnswer: -2, -2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let m(g) = 3*g - 1. Suppose 16 + 2 = -2*l - 2*i, -5*i = -2*l + 10. Let o = l + 2. Let z be 3\/6*(o + 1). Calculate z*m(k) - 5*s(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 1951*u**2\/2 + 3798585*u\/4 + 3814209.\nAnswer: (u - 1953)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8.7, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - 37 = -5*k, 3*k + 4*y = -1. Let u be -1 + 1 + -2 + 33. Suppose k*h + u = 76. Solve -2*b - b = -h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + -1)\/((-12)\/42). Suppose 0 = -f - 2*j + 18, 6*j = -3*f + j + b. Let l be 1128\/(-987)*(-50 + 1). What is the greatest common divisor of l and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/(-680))\/((-3)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 + 99. Suppose 5*l + 3*t = 2225, b*l - 10*l - t + 2215 = 0. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*k - 4*k. Suppose 5*j = 2*f - 6*f + 10, -2*j = -k*f + 24. What is the closest to 2 in j, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let i = h - 0. Let v = 6 + i. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let r(c) be the third derivative of 215*c**4\/12 - 38*c**2 - 2*c. Determine r(o(z)).\nAnswer: 860*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -7. What is the common denominator of n\/6 - 87\/(-15) and -59\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 45. Calculate the greatest common factor of d and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 21\/6 + 22\/(-4). Let p be 1\/(-4) - (-10)\/8. Let l be (1 - p) + 8\/(-14). Which is the second biggest value? (a) -2\/9 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.2576 months to years.\nAnswer: 65.6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*n - 138 = 662*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1194760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (26 + -104 + 66)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 41, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/1710 and 67\/3591?\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729 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: Simplify (t*(t*t*t**(-7\/5))\/t*t\/(t\/(t*t**2)))**(2\/49) assuming t is positive.\nAnswer: t**(36\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-4)\/(-4) - 2). Suppose 3*f + f - c + 17 = b, 0 = -4*f + 4*c - 20. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44607, 44604, 44601, 44598, 44595?\nAnswer: 44592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7)*i)\/i**7*(i\/(i**6\/i)*i)\/(i**(-4)*i*i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(288) - 1*(3*sqrt(288))**2) + -1)*-4.\nAnswer: -48*sqrt(2) + 10388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.8284273 rounded to 1 dp?\nAnswer: 130.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81796 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*o**2 + 418 + 66*o**2 - 382 + (2*o + 0 + 0)*(5 - 2 - 2)*(o + 3*o - 2*o).\nAnswer: 38*o**2 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(45\/171). Let g = q + 7\/5. What is the second smallest value in 3\/2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(120))\/sqrt(2))\/(sqrt(84)\/(sqrt(28)\/sqrt(4))))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 512, 793, 1080?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4019?\nAnswer: 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 6*r + 0*r**2 + 0*r + 3*r as j*r**2 + g*r + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 38 + i - 2*i.\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*p**2 + 66*p**2 - 270*p**3 - 222*p**3.\nAnswer: -492*p**3 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = a + a - 54, 0 = a - v - 30. Let j(c) = -c**2 + 28*c - 181. Calculate the smallest common multiple of j(16) and a.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.9. Let z = 69 - 68. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, l: 5, r: 4}. Give prob of picking 2 g.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*s - 546, -2680 = 4*h + h - 5*s. Let o = h - -1584. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/4 + 3*u + 6. Find the first derivative of b(x) wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 29. What is the least common multiple of l and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -136*k**3 - 279 - 131*k**3 + 268*k**3. Let s(i) = 42*i**2. Determine s(a(x)).\nAnswer: 378*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 236. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -10*z - 5. Solve -7 = 3*b - 1, z*b = 2*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*t - 722*t - 727*t + 2168*t - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2151173 (base 9) to base 8.\nAnswer: 4321034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.74919643 to zero dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*j + 2*j. Let z = -11 - j. Suppose z*f = -f + 500000. Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-24)*28\/(-21)*(-2)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 3, -2, 1, -3, -4 in descending order.\nAnswer: 3, 1, -2, -3, -4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1, 4\/27, 0.3 in decreasing order.\nAnswer: 0.3, 4\/27, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*7\/(-14)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1 - 2*w + 4*w - w. Let c(z) be the second derivative of z**4\/12 - 11*z**3\/6 - 6*z**2 + 11*z. Give -2*c(l) - 22*j(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1675324031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1493 - -2343. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20334041 + 1?\nAnswer: 20334042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = 40*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/47558452 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**5 + 4410*w**4 + 76015*w**3 + 359280*w**2 + 287680*w = 0.\nAnswer: -8, -1, 0, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 109 + 73 = -2*v, 2*w = 5*v - 26. Suppose -c - 2*j - 9 = 2*j, 0 = 3*c - 5*j - 24. Solve -z - 8 = 2*i, -2 = -v*z + c*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - t + 2*t**3 + 3*t - 24*t**3.\nAnswer: -22*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v + 1. Let g(d) = 3*d**2 - 9*d + 5. What is g(f) - 4*y(f)?\nAnswer: -f**2 - 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 2, 3, -3, 9 in descending order.\nAnswer: 47, 9, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723232709 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -28 - -5 - (31 - (-22 - -46))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 29*h + 56. Let s be f(-28). What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = -4*n, -3*n + 1 = 4*z - 19. Suppose 3*t + 4*q - 5 - 3 = 0, n = -4*t + q + 17. Suppose 59 - 23 = t*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 166.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l. Let x be (-27)\/(1*(-12)\/8). Suppose -2*o + x = 5*d, -2*o + 4*d = 2*d + 10. Give q(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25916 divided by -12012?\nAnswer: 589\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m + 3. Suppose -b = 3*d - 18, -3*d = -4*b + 1 - 4. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 390*f + 15259. Determine j(54).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 + h**4\/2 + 4*h**3\/3 - h**2 + 27*h. Let a be c(7). Solve -w - 16 = -a*t, 0 = -2*w + w + 2*t - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(228)\/(sqrt(24)\/sqrt(2)) - (sqrt(19) - sqrt(76)\/sqrt(4))*-4) + 4.\nAnswer: -2*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 510510.\nAnswer: 510510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (-2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 - 12?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581490714.99999972 + 581490671. Let s = -127 + 83. Let b = s - h. Round b to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 13) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 4*h + 35. Let q be d(4). Let g(u) = -4*u + 20 + u - 3*u - 17 + q*u - u**2. Let j(w) = -w**2 - w + 1. Determine g(k) - 3*j(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 371*v**3 - 35*v**2 + 34*v - 17. Let t(r) = 125*r**3 - 12*r**2 + 12*r - 6. What is -6*c(j) + 17*t(j)?\nAnswer: -101*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x**3\/3 + 4*x - 154. Let u(v) = 53*v**2. What is m(u(i))?\nAnswer: -212*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 times 684639?\nAnswer: -100641933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10656.8 weeks to nanoseconds.\nAnswer: 6445232640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3034 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Calculate q(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126903.87 months to centuries.\nAnswer: 105.753225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 6. Let d be (1 + 2 - -6) + -3. Let r be m(d). Solve -4*g + 3*o = r, g - 3*g = -o + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.5, -0.4, 0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.25808+17341\nAnswer: 17340.74192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 >= -6692\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-2)\/(-4) + 112\/128. Which is the closest to -0.1? (a) 1\/2 (b) -0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 839*z - 3374. Determine m(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:42 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 - 415.8. Let w = 48.7 + i. Let p be (-6)\/(-5)*(-10)\/3. Which is the closest to w? (a) p (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 991401, 991418, 991435, 991452?\n\"Answer: 17*f + 991384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -22 + 2*m**2 + 4 - 21*m + 11*m + 0. Is c(-7) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*g + 49*g + 436*g + 51852 for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -36*(11\/(-2))\/(-11). Let q = 16 + x. Let m = 1 + -4. Is q smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from xttwnwnxnntwtnntttn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 100222202112002?\nAnswer: 100222202112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11592\/(-114264))\/((-2)\/((-24)\/(-14))). Let n be (5 - 0) + 0 + -1. Suppose -n*g = -2*g + 6. What is the closest to k in 0.3, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*a + 13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -0.06, -3, 994, -21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124488093.\nAnswer: 3, 17, 2440943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2062 + -551?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*u + 7 = 0, -2*w - u - 14 = u. Let d be (6\/8)\/(w\/(-8)). Suppose -4*q = d*h - 58, 0*h = h + 4*q - 14. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*n - 142, 5*p + 0*n - 246 = -n. Let t be (p\/(-10))\/(1\/(-1320202)). Let a = t - 2801010. Round a to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20897082 is divided by 451.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {a: 7, w: 3, e: 7, q: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202636*a**3 + 405282*a**3 - 202637*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 - 5*u**3)*(112*u**2 - 233*u**2 + 120*u**2 - 59*u).\nAnswer: 5*u**5 + 295*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/50070 and -19\/250350?\nAnswer: 250350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 35. Suppose 4*g = -7*k + s*k + 134, 4*k = g + 204. Calculate the greatest common factor of k and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(304) - sqrt(133)\/(sqrt(28)\/sqrt(4))).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133304 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.3745 + 38.4. Round y to two dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 14 = 3*v, 5*p - v = -9 - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718 is divided by 293?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**2\/2 + 5*w - 3. Let p be l(0). What is the derivative of -p*b + 4 - 2*b**4 + 5*b - 2*b**4 wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.01 + -0.01. Let j = -0.034 - -1.974. Let r = j - p. What is r rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 404015950.\nAnswer: 2\/202007975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1982\/9 + 9991\/45. What is the common denominator of -83\/66 and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0 + 0)*(6*r + 2*r - r)*(3 - 1 - 4)*(-24*r + 47*r + 53*r).\nAnswer: 1064*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.98 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.127299 millilitres to litres.\nAnswer: 0.005127299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**3 + 17*w**2 + 2*w - 8.\nAnswer: (w + 1)*(w + 2)*(7*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 + v + 2. Let j be r(3). Let d = j + 42. Calculate the remainder when d is divided by (-2)\/(-5) + (-65)\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -31*o**2. Let h(x) be the second derivative of -13*x**4\/12 + 3*x - 41. Calculate h(g(t)).\nAnswer: -12493*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3220, -3190, -3158, -3124, -3088?\nAnswer: -3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1531 and 1\/6?\nAnswer: 9186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 - 2*h**2)*(3*h + h - 6*h)*(7 + 26 + 14).\nAnswer: -94*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 - 5*y + 5*y)*(2 + 7 - 3).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 31. Is 23 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3\/6 + 13*h**2\/2 - 11092*h. Determine a(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -178. Suppose 5*j = j + f. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.04, -0.0481, -6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 11*w - w - 23.\nAnswer: -12*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2153880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -737 + 731. Suppose 5*x + 2051 = -2019. Is x*(0 - (-3)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*h - 4*o = -842*h + 101, -2*h - 4*o - 86 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59967\/7 + -8567. Which is the nearest to 0.1? (a) 0.1 (b) q (c) 3\/2 (d) -161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321807755 to the power of 1\/2, to the nearest integer?\nAnswer: 17939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 100*f - 8. Let b(s) = -3*s**2 - 67*s - 5. Let v(x) = 8*b(x) - 5*m(x). What is the second derivative of v(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*d - 2*l, d = -17*l + 18*l + 12. Suppose -4 + 6 = -k, k + d = 5*t. Solve -2*a = -3*b - 5, 4*b + 3 + 13 = -t*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 572bcf?\nAnswer: -572bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138.3 + 138. Let r = -0.3 - 0.7. Which is the closest to r? (a) n (b) 3\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4279646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69379638 divided by -4899.\nAnswer: -14162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {c: 5, f: 3, g: 4, e: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 2, -2, -4041.\nAnswer: -4041, -9, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*d. Let w(r) = -r**3 + r**2 + 5. Calculate the remainder when 5 is divided by w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000321055563 to 7 dps.\nAnswer: -0.0003211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8177108 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/5 - 288*z**4\/5 - 12364*z**3\/5 - 21312*z**2\/5 + 18880*z = 0?\nAnswer: -236, -50, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:45 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 1399\nAnswer: 68551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**10*m**4)\/(m**(-1))**(3\/31) assuming m is positive.\nAnswer: m**(-152\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -47, 3, 0.3, 2, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/2 - 11*r**3\/2 + 19*r**2\/2 + 99*r\/2 - 126 = 0. What is r?\nAnswer: -3, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*p + 4*v + 737, 0 = 2*p + 5*v - 606. Let i = -289 + p. Let r be 26\/(-8) - (-5)\/20. Put i, -2, r, 3 in increasing order.\nAnswer: r, -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-444)\/(-1924))\/((-81)\/819)*(-423)\/7.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:25 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**7\/210 + 13*s**6\/120 - 3281*s**5\/60 - 1165*s**2 - 2. Find the third derivative of a(h) wrt h.\nAnswer: -24*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/21)*y**(-1\/4))\/(y**(-1\/2)\/y*y*y**(-5)) assuming y is positive.\nAnswer: y**(533\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((21\/(-483))\/(1\/1)). Sort r, 0.4, -0.5, -2\/15 in descending order.\nAnswer: r, 0.4, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-6)\/(-3) - 11. Solve 4*d + 8 = 3*c + 5*d, 4*c = -f*d + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/20 (b) -4\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 37*a**2 + 10*a - 101. Let i be y(-41). What is the highest common factor of i and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-4)\/2) + 3. Let d(a) = 0*a - g*a + 6*a. Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**6 - 49521*v**5 - 7*v**3 + 5848151*v**2.\nAnswer: -120*v**3 - 2971260*v**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**4\/24 - 2*g**3 - 2*g**2. Let h be l(8). Let f = 19 + h. Solve -2*k + f = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122744008 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30044431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3 + 1642*x**2 + 1635*x - 9846 = 0.\nAnswer: -1641, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3.7, 0.5, 2, 355, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = 2*a - 18, f - 1 = -2*a. Solve 0 = 5*m + 5*s, 2*s + a + 5 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 5\/4, -25.5, 6\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/390)\/((-15)\/(-75)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/13, -0.3, 0 in decreasing order.\nAnswer: 1, 2\/13, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, 5, -4 in descending order.\nAnswer: 5, 1, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5712600 divided by 1142520.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28389195641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*q - 0*z - 5*z, 3*q + 3*z = 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 125 = -337 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 637*x**4\/4 + 53*x + 289. What is the first derivative of t(q) wrt q?\nAnswer: 1911*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68, 67, 56, 29, -20, -97?\n\"Answer: -v**3 + v**2 + 3*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 27. Let r(m) = -2*m**2 - 16*m - 4. Let n be r(p). Let c = -2 + n. What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.09, -3\/8, 2\/229, -3?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 227*v**5 - 8*v**2 + 40*v + 1848. Find the second derivative of n(p) wrt p.\nAnswer: 13620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485084777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -85310.5 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -52. Let a be (-64)\/(-5) + (6\/5)\/6. Let t = 37 - a. What is the highest common divisor of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -387 + 175. Let z = -209 - q. Solve -3*u - 15 = -z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 + 9*h**2 + 7*h + 36. Let l be v(-10). Let r = -6086 - -12952. What is the third derivative of r + 15*y**2 + 14*y**5 - l wrt y?\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19256225.\nAnswer: 5, 53, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11.5*2.19\nAnswer: -25.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174\/19723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 a factor of 54990910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*t**2 + 18*t**2 - 5573 + 5571 in the form v + a*t**2 + h*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2024 * 59065\nAnswer: -119547560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1210\/(-20)*(-86)\/473 + 1*-9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2134*l - 70424. Give j(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -99*f**2 + 0*f - 3*f + 95*f**2 - 2 + f**3. Let a(s) = s**2 - 4*s. Let y be a(5). Let u be v(y). Is u smaller than 17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 9 = 0. Let z(v) be the first derivative of -6*v**o + 4*v + 9*v**3 - v**4 - 4*v - 11. What is the third derivative of z(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**2 - 159*c**3 - 54836 + 54874 - 1696*c**3 + 44*c**2 wrt c?\nAnswer: -11130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750\/1549 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 2*g**5 - 3*g**5 + (-5 + 5 + 2*g**3)*(-g - 4*g + 2*g)*(127 + 43 - 44)*(g - 4*g + 0*g).\nAnswer: 2266*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 502*c - 15399.\nAnswer: (c - 29)*(c + 531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 28 = 41. Let o be (12\/16)\/((6\/(-8))\/k). Solve 5*s = -d - 11, 2*s + 9 = -o*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 7*l**6\/30 + 3*l**5\/5 + 190*l**2 - l - 205. What is the derivative of f(c) wrt c?\nAnswer: 28*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4339 and 6.\nAnswer: 26034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 0, -2, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 720.6584mm?\nAnswer: 0.0007206584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-9)\/6)\/(-1))\/(1\/(-2)) + 2. Let j(r) be the third derivative of -r**6\/15 - r**5\/60 - 2*r**2. Determine j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114993 is divided by 1250?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 4*o + o + (5 - 4 + 0)*(3*o - 3*o + o) - 2*o + 0*o + 3*o + (-2*o - 1 + 1)*(5 + 0 - 10) in the form j + w*o and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1413235 divided by 23\nAnswer: 61445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2560*g + 5 - 3.\nAnswer: -2560*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2. Let j(z) = -5. Let p(n) = n + 6. Let c(b) = -6*j(b) - 5*p(b). Determine c(m(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206961194 to the nearest integer?\nAnswer: 14386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 34. Suppose 0 = 2*l + u - 33. Suppose -l*f + 4*f = -144. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.6820638 and -115.94?\nAnswer: 113.2579362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 10*f**2 - 9*f + 2. Calculate a(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4936442777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + p + 2 = 31, -19 = -3*w + 2*p. Suppose w*o - 20772 = -11*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbboboldj. Give prob of sequence bbj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 12*n**2 - 9*n - 7. Let r be d(11). Let u(t) = -t**2 + 16*t + 4. Let x be u(r). Solve -4*f - 3*i = x, -3*i + 12 = -5*f - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b + 2. Let w be m(2). Suppose -z + 4*c + c = -140, 2*z - 313 = -c. Suppose 0 = 3*v + w*v - z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4064778672?\nAnswer: 2, 3, 479, 176791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1277 + 1279. Solve 5*q - 40 = 7*a - n*a, -5*a = 4*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1279.561 to 0 decimal places.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -74, 3, 5, 0, 7, 15.\nAnswer: -74, 0, 3, 5, 7, 15, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*r**3 - 799*r - 3215.\nAnswer: 12*r**2 - 799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7454366 (base 8) in base 12?\nAnswer: -7bab5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*p + 8*z, -10*z = -5*p - 8*z - 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f + 2*f**2 - 12 + 29 - 12. Let c be s(-2). Let r(u) = -u**3 + 3*u**2 - 2*u + 4. Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 - 6*g + 3. Suppose -3*h + 25 = 7. Let l be f(h). Suppose -2*d - j - 54 + 163 = 0, 0 = -l*j + 15. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -444585*z**4 - 6*z**3 - z**2 - 24*z - 12693639 wrt z?\nAnswer: -5335020*z**2 - 36*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2381 + -51533?\nAnswer: -538b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**9*i*i))*i)\/i**(6\/17)*(i\/(i**(2\/5)\/i))**(-16\/5) assuming i is positive.\nAnswer: i**(-4451\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + (-11 + (-1 - 1) - (2107 + -2120)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5603216 and 44.\nAnswer: 61635376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + sqrt(5))**2*-6 + (sqrt(55)*1)\/sqrt(11).\nAnswer: -120 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055227 to 6 decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 53. List the prime factors of l\/(-2) - 9\/3.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 9*t + 7*t + 5*k - 11, 0*k = -17*t - 5*k - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) - (sqrt(2) - sqrt(72)*3)) + -3 + (sqrt(96)\/sqrt(8))\/sqrt(6) + sqrt(2))**2.\nAnswer: -37*sqrt(2)\/3 + 2827\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11812086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2901*y + 6026. Determine x(-2).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74923 and 367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*j - 2)*(-1 - 3 + 1)*(2 - 2 + 1).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*v - 2 - 4 = 0, -4*w - 13 = 5*v. Suppose -16 = w*a - 283. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10778, -2, -4, -3 in decreasing order.\nAnswer: -2, -3, -4, -10778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 27 + d**3 - 1\/24*d**4 + d**2 - 1\/60*d**5 + 0*d. Factor r(u).\nAnswer: -(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -4*d - l, 0 = 3*d + l - 6. Suppose 0 = 3*b - 15, 0 = -d*z - z + 2*b + 2674. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16679202 divided by -16679202\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 168, 289, 448, 657, 928?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. What is the closest to -0.1 in 1, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27409 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 + 4*w - 3. Determine s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14279*s + 1. Let j be g(-7). Let z = 19490893\/195 - j. Let m = z + 10\/13. Which is greater: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46451 by 5.\nAnswer: -46451\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3373, 12004, 26387, 46516, 72385, 103988?\n\"Answer: -r**3 + 2882*r**2 - 8*r + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let m be d(6). Let r(j) = -j**2 - 3*j - 3. Let f be r(m). Calculate the common denominator of f\/12 + 16\/(-24) and 13\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, d: 3}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (212441\/(-1417))\/((-1)\/13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2\/11*m**3 + 40\/11*m**2 + 0 + 72\/11*m = 0.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + 1*sqrt(11) - (sqrt(11) + -1 + 3) - (5 + sqrt(33)\/(-2*sqrt(3)))))**2.\nAnswer: -125*sqrt(11) + 2775\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:49 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 1318342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -17823519.\nAnswer: -1\/1980391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 199319119.\nAnswer: 199319118.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49866624 and 49632?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-16)*-8)\/((-8)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(304) + sqrt(304) + 0 + sqrt(19) + (5*(sqrt(19) + sqrt(304)) - sqrt(19))**2 + 1.\nAnswer: 9*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -15*s**2 - 24*s - 11. Let g(n) = -7*n**2 - 12*n - 5. Let a(c) = -9*g(c) + 4*q(c). Let b be a(-9). Calculate the greatest common divisor of 34 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3462?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -y + 3*y, u + 10 = 4*y. Suppose 4*b - y = -2*m - 12, m + 12 = 5*b. Let s(d) = -2*d - 5. Determine s(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1863 - 7475 + i**2 + 1888 + 1856 + 1868.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14902 = 443*m + 7593 - 21043 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -144114 (base 5) to base 12\nAnswer: -3693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127138142.\nAnswer: 2, 37, 1718083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2304*y**2 - 15*y - 30. Let b(s) = -3*s**2 + s + 2. Calculate 45*b(z) + 3*f(z).\nAnswer: 6777*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.15 + -19. Let v = j - 0.05. Let d = v + 2.9. Sort -1, -0.2, d in descending order.\nAnswer: d, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + d + 1 = 0, d - 9 = -5*v - 0. Solve 2*p = -5*m, -6 = p - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:01 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 35. Give c(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - x + 58, 0*x + 3*x + 6 = -j. Let z = j - -20. List the prime factors of (z\/(-3))\/((-6)\/513).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, 4\/7, -14, 0.006, 0.3, -0.4, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-1113246)\/74) + (6 - 5). Let t = -15047 + j. Find the common denominator of t and -3\/5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350.16 + -356. Let y = 57.46 - o. What is y rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11740 + -4548. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let d(v) = -212*v**2. Determine d(j(q)).\nAnswer: -1908*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 123*x**2 - 1260*x.\nAnswer: -3*x*(x - 21)*(x - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/5 + 8144*z**3\/5 - 3027326*z**2\/5 + 1204412*z = 0. What is z?\nAnswer: -4415, 0, 2, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 f when four letters picked without replacement from affaaafffaafa?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Let n = -41 + 39. Which is the nearest to n? (a) -0.1 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83100 = 114*b + 262*b - 83852 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*-10*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 - 44 - 35)*(0*s - 4 + 2*s + 2) in the form a*s + j and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 42*h = 0. Suppose h = 4*o - 38 - 138. Find the second derivative of 4*n + 24 - o - n**2 + 20 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 1, -15, 3, -11 in descending order.\nAnswer: 3, 1, 0, -7, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -88*i. Let r(u) = 3*u**2 + 233*u + 11. Calculate z(r(x)).\nAnswer: -264*x**2 - 20504*x - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.84, -1448\/5, 2\/19, 2\/15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177.257 - -177. Let r = 0.047 + y. Let n = r - -0.01. Sort n, -1, -0.5 in decreasing order.\nAnswer: n, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 c when four letters picked without replacement from {c: 3, s: 2, l: 4, q: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1292803569*-0.5\nAnswer: 646401784.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10665)\/(-12) - 9\/(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/14)\/(6\/(-12)). Let n = 0.4 + 20.6. Which is the third biggest value? (a) -1\/5 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820433075 to the power of 1\/2, to the nearest integer?\nAnswer: 28643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6401 from -510176982.\nAnswer: -510176980.3599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1214 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -4\/9, -1\/724?\nAnswer: -1\/724","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13552321 (base 7) in base 10?\nAnswer: -1273378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(15\/(-10)*2\/(-6)). Which is the third biggest value? (a) -1 (b) 11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*z - 796*z**2 - 193*z**3 + 833*z**2 + z**4 + 190*z**3 to the form f*z + p*z**4 + h*z**3 + c*z**2 + w and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 224*n**5 - 1028*n**4 - 676*n**3 + 988*n**2 + 452*n + 40 = 0.\nAnswer: -1, -2\/7, -1\/8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000887156 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:01 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389123, 389103, 389081, 389057, 389031?\nAnswer: 389003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2014*l**3 - 8596*l**3 - 2491*l**3 + 2532*l**3 - 4707 with respect to l.\nAnswer: -31707*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14186 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-24) + 2\/3. Suppose 3*u - 17 = -2*r - 0*r, 2*r = 3*u - n. Suppose -2*t + 185 = u*t. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-1710)*(-108)\/(-8))\/((-2970)\/72)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 600509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15392*j**3*s**5 - 2*j**3*s**3 - 443*j**3*s + 4*j**2*s - 3*s + 6 wrt s?\nAnswer: 307840*j**3*s**3 - 12*j**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.2 (b) 6 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 17. Let h = -25 + c. Let j be (0 - 1)*(-4 - h). Put -1, 3, j in decreasing order.\nAnswer: 3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -1, 9\/17, -2\/147, -0.1 in ascending order.\nAnswer: -5, -1, -0.1, -2\/147, 9\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3195366735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1046777379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 2*t + 14*t. Let n(w) be the third derivative of w**4\/24 - 10*w**2. Calculate v(n(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:33 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14485*u - 12999*u = -28234 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.4 + 23.5. What is the nearest to 1\/2 in 1, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13411553 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = -c, 0 = -0*c - c + 3*h + 22. Let y = 12 + -7. Calculate the remainder when c is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 4*g + 8*g)*(5*g - 5*g + 7*g**2) + 0*g**3 - 3*g**3 + g**3 + (-2 + 4 - 1)*(3*g**2 - 2*g**3 - 3*g**2).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2 - 5*a + 7. Let p(n) = -3*n**2 - n. Let h(l) = 3*p(l) - q(l). Let c(j) = 7*j**2 + 5*j - 15. Determine 4*c(x) - 9*h(x).\nAnswer: x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 60375624871693.\nAnswer: 60375624871692.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-29)\/(46023\/46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.4 or -46697?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-9 - -5)\/1 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 17 = -4*m + 6*t, -6 = -2*m + 4*t. Calculate the remainder when 1032 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 6. Let j(t) = -3*t - 6. Suppose -6*i + 7 - 25 = 0. Calculate i*j(s) + 2*m(s).\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 426.29 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y = -113*y + 41*y - 3610 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7450*x + 7322*x = -8320 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/48889224 and -45\/34403528?\nAnswer: 928895256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 6*p - 2. Let o be b(-5). Find the common denominator of -39\/10 and 59\/o + (-8)\/2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 9 = -2*f - 11, 0 = 4*f + 3*c + 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/426030 and -51\/110.\nAnswer: 426030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from rxrrbrnxrrnrrb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 0. Let k(z) = -z**2 + z - 1. Let h(l) = -3*l**2 - l - 12. Let c(j) = h(j) - 2*k(j). Let q(f) be the first derivative of c(f). Determine q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1952)\/488*10\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 + 76*l**2\/7 - 746*l\/7 + 96.\nAnswer: -2*(l - 21)*(l - 16)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3) + 2 + 0. Suppose -20 = -r*n - 4. Find the second derivative of -4*p + 3*p + p - 3*p**n - 3*p wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(40)\/(sqrt(5)*6)) + -1*(sqrt(468) + -6*sqrt(468)))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14)*5\/10. Let a = m - 37\/14. Put a, 0, 5 in decreasing order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + (-60 - -69)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3323 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 31, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 10) in base 2?\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27542 divided by 13771\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 1140232 = 26*r + 382839. Is 304 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*1)\/sqrt(6) - ((sqrt(19) - 2*sqrt(19)*1 - sqrt(19)) + sqrt(19) + sqrt(19)))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1200*f**2 + 8*f. Let j(k) = k. Calculate j(y(s)).\nAnswer: -1200*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/9150 and 173\/45024.\nAnswer: 68661600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-45)*5\/(-6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(480) - (sqrt(480) + sqrt(480) + sqrt(480)*3))*-3*2)\/(3*(sqrt(54)*3 + sqrt(54))\/sqrt(9)*-3).\nAnswer: -8*sqrt(5)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 2*i + 3. Let y = -26 - -31. Suppose -3*h + 2*h - y = -q, -h - 8 = -2*q. Let z be u(h). Solve x = -2*x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**0))**(1\/9)*(u*u**4)\/(u*u*u**(2\/3)*u) assuming u is positive.\nAnswer: u**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 1. Let u(p) = -4*p**2 + 6*p + 13. Let n(a) = -5*h(a) + u(a). Let l be n(6). Let x = l - 28. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 3*w + 2*t, 0 = 2*w + t - 7. Let p be w*10\/(-20)*(-2)\/(-4). Let k be (-1)\/(-1*1\/3). Which is the smallest value? (a) p (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -35*n - 37*n + 1624834. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**6\/3 - 5*m**2\/2 - 4. What is the second derivative of o(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by 1581731.\nAnswer: -328\/1581731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-264)\/(-330) + (-12)\/(-10). Sort 53, 0.3, v, -0.2, -2 in descending order.\nAnswer: 53, v, 0.3, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 17460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-1)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/120 + 3*u**5\/40 + u**4\/4 - 23*u**3\/6 + 12*u**2. Let m(g) be the first derivative of l(g). Solve m(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 0, 0*p - p + n + 3 = 0. Suppose y + 6628 = p*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by -396.\nAnswer: -175\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 7*c**2 + 5*c - 8. Let v(o) = o**3 - 2*o**2 - 2*o + 3. Give -3*n(z) - 8*v(z).\nAnswer: z**3 - 5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*b*t**3 - b*t**2 + 705*b*t - 5112*b - 2*t + 183 wrt t.\nAnswer: 264*b*t**2 - 2*b*t + 705*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213505240 is divided by 237?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58981994\/27 or -2184519?\nAnswer: -58981994\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 121801*a**5\/6 - 123197*a**4\/6 - 364703*a**3\/3 + 4186*a**2\/3 - 4*a = 0?\nAnswer: -2, 0, 2\/349, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 4*d + 3. Let s be (-6)\/9 + 26\/(-6). Let k be c(s). List the prime factors of (k - -2 - -17) + -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-20) + 3\/(-15). Suppose -p = -3*p + 18. Let l be (-12)\/p + 1\/3. Is y greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54608063 is divided by 1982.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 - -126. What is the closest to -1\/3 in 1\/5, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5917483 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 4*(1*sqrt(91) - sqrt(91)))\/(sqrt(70)\/(sqrt(10) - sqrt(10)*-2)) + -2)**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 4. What is the smallest common multiple of -3 + 7 + 1*(-2 + 2) and q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -57. Suppose 0 = 2*g - 1 + r. List the prime factors of (-1)\/(g\/222)*(-3)\/(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22536 + -0.17464. Put 0.732, a, -4, 3 in ascending order.\nAnswer: -4, a, 0.732, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000672432 to 5 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.12838 - -0.49102. Let h = 13.58939776 - v. Let s = 0.03 + h. What is s rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:14 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/537906 and -39\/1406.\nAnswer: 10220214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 2468897?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000443 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2848 - -5968. Does 39 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/(v*v**(3\/4)))\/((v*v\/(v*v**(-3\/2)))\/v**2) assuming v is positive.\nAnswer: v**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9)*r\/(r\/(r\/r**(-3)))*(r\/((r*(r**(2\/3)\/r)\/r)\/r))**50)\/((r*r**(-1)*r)**23\/(r*r**(2\/5))**(-9)) assuming r is positive.\nAnswer: r**(3863\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q + 11. Let z be b(-2). Solve 2*u - 2 = -t + 1, 5*u = z*t - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19*4\/(-1045))\/((-4)\/20)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -5. Let y be (2\/(-5))\/((-1)\/c). Let i be (-9 + y)*(-6)\/5. Calculate the greatest common factor of 54 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -a + 30. Solve -7 - 1 = -a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 987 - 951 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**3*y**3 - 43*w**3*y + 138*w**2*y**3 + 14*w**2*y**2 - 6*w**2 + 3*w*y**3 + 2*w*y**2 + 15*y**3 - 3 wrt y.\nAnswer: 12*w**3 + 828*w**2 + 18*w + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.376 + 0.624. Which is the closest to 0? (a) -3 (b) -0.4 (c) 53 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 25*a - 43*a + 4 + 10 + 9 - 37 + 33*a.\nAnswer: 15*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24595 * 20\nAnswer: -491900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and 203697?\nAnswer: -15480972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -3*m**5\/20 - m**4\/12 - 11*m**2 - 2*m + 10. Find the first derivative of x(d) wrt d.\nAnswer: -9*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15242 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 c(i) be the first derivative of 1\/6*i**3 + 1 + 0*i**2 + 0*i. Solve c(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29689.69 years?\nAnswer: 296.8969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-5)\/3 + 3)*1. Factor 10\/3*o**2 - 1\/3*o**3 - h*o**5 + 4\/3*o - 4\/3*o**4 - 8\/3.\nAnswer: -(o - 1)**2*(o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k - 30. Let z = -45\/14 + 629\/126. Find the common denominator of z and (-8)\/k - 4\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 1523.\nAnswer: -38\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -46b (base 12) to base 15\nAnswer: -2de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 2\/5 (c) -3\/5 (d) 25 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -226, 135309, -3 in increasing order.\nAnswer: -226, -3, -1, 135309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10374 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -922, -1834, -2724, -3592, -4438?\n\"Answer: 11*c**2 - 945*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1197327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.630047nm in centimeters?\nAnswer: 0.0000008630047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69842 by -94.\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1)\/(132\/(-30) - 6\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 676 = -11*x. Let v(g) = 6*g + 144. Let j be v(-11). Calculate the highest common factor of x and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 7 - 19 - 23*p to r + a*p and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 4*i - 4. Let s(l) = -5*l**2 - 11*l + 11. Let n(t) = -11*b(t) - 4*s(t). Let m(j) = -5*j + 5*j + j. Give m(n(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 16. Let y = t + -5. Suppose 0*k + k - 14 = y. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38073062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-17 - -75) - 44?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -43, -53, -63, -73, -83?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 287572577 and 2.\nAnswer: 287572579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*i + 11511 - 11055 = 37031 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - 8) + (-13 - -1) + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u - 863. Give f(-58).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1742*s + 57*s**3 - 54*s**3 - 1742*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -62*a + 61. Let f(o) = 94*o - 92. Let w(u) = 5*f(u) + 7*q(u). Calculate the remainder when w(4) is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*h - 17*h - 13*h - 11 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -23. Is g greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z**2 + 938*z - 5677. What is a(6)?\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91891?\nAnswer: 43, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/10*(-4 - 0). Let b = -6 + r. Suppose -2*i + b*i - 14 = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(7*n + 36*n + 104*n) - 3*n + n + 0*n in the form y*n + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171 - 0.12859?\nAnswer: -0.29959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5898631*l**3*n - 17*l**2*n - 42167*n wrt l?\nAnswer: -35391786*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2203 divided by -91.\nAnswer: 2203\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*s, -4*l - 3*s + 4 = s. Let m(b) be the first derivative of 0*b**3 - b**2 + b**4 + 4\/5*b**5 + l - 4\/5*b + 1\/5*b**6. Factor m(w).\nAnswer: 2*(w + 1)**4*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 4. Let o(x) = 3*x + 11. Let y(k) = -11*j(k) - 4*o(k). Let q(g) = 21*g. Let h(w) = -716*w. Let b(m) = -2*h(m) - 68*q(m). What is b(y(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -338, -680, -1024, -1370?\n\"Answer: -p**2 - 339*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -1, 4, 641, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (27\/81)\/((-1)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14769 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 3. Let k(x) = x**2 + 6*x - 54. Let g be k(5). Let y(q) = 3*q - 10. Let h(l) = g*y(l) + s(l). What is h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1889609876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-720) - 96\/(-555)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7 - 2*t**2 - 9*t - 2*t**2 + 3*t**2 + 2*t**2. Calculate the remainder when u(10) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6.03. Suppose 16*z = -9*z + 4*z + 42. Let h = -4\/25 - 38\/75. What is the closest to 1\/3 in z, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(80)*2*2 + 2)**2.\nAnswer: -512*sqrt(5) + 81924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -824 in 3, 0, -9, -2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/8)\/((-4)\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -16.76. Let x = c + 4.76. What is the smallest value in x, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -368 and 1.2.\nAnswer: -366.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(130)*-1 - sqrt(130)))\/(2*sqrt(2560)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o + 16. Let a be j(-4). What are the prime factors of -4*(-3 - -35*(-2)\/a)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**5\/5 + 109088*p**4\/5 + 5992266*p**3\/5 + 77460296*p**2\/5 - 121914912*p\/5 + 7670656 = 0. What is p?\nAnswer: -28, 4\/9, 1, 6115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3 - 204*g**2 + 202*g = 0?\nAnswer: 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36087*3565\nAnswer: 128650155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 - 4*i + 6*i - 3*i + 3*i**2. Let u(a) = -2*a**2. Let f be (-2)\/(-4)*6\/(-3). Let c(q) = f*u(q) + m(q). Let c(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -5.5. Let x = g - 4. Let d = 0.3 + -0.5. What is the closest to 2\/7 in x, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163735 and 16731?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134788355 or 134788354?\nAnswer: 134788355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 4*s + 0 + 4\/3*s**3 - 5\/2*s**2 - 1\/12*s**4. What is the units digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/12 + 4*j**2 - 3*j. Let v(d) = d + 9. Let c(p) = 9*p. Let y be c(-1). Let m be v(y). Give x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(20\/9)\/u**(-18)*(u**4)**(-5\/9))**7 assuming u is positive.\nAnswer: u**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2669739?\nAnswer: 3, 353, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + s**3 - 13*s + 2*s**3 + 11*s - s**4 + 0 to j*s + g*s**4 + v*s**2 + a*s**3 + u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -5, -14, 1 in increasing order.\nAnswer: -14, -5, 1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -2, -0.2 in decreasing order.\nAnswer: 132, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12\/(-48) - ((-17498)\/4)\/((-18)\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-476)\/24*(-8892)\/5187?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**6 + 16*n**5 + n**3 + 33517*n**2?\nAnswer: -720*n**3 + 960*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 3*w - 5*d, 0 = -55*w + 57*w + 3*d - 89. Solve 7*z = -w + 69 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 381511735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 708446846 divided by -6\nAnswer: -354223423\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 3*q. Let u be p(-4). Let v be ((u\/2)\/10)\/((-5)\/(-3)). Put -12, -1, v, 4 in ascending order.\nAnswer: -12, -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -f - 3*r - 8, 8 = -4*f + 2*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/2 + 45171*x**3\/2 + 226005*x**2\/2 - 1129275*x\/2 - 2824125 = 0?\nAnswer: -5, 5, 15062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 36 + 11 = 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {i: 1, k: 2, r: 1, x: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 64*l**3 - 186*l**2 + 1036*l - 784 = 0. Calculate l.\nAnswer: -28, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335 - 4600. Is 7\/((-14)\/(-8)) - o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 19879*u\/2 + 19878.\nAnswer: (u + 2)*(u + 39756)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 37*n + 44 - 1 - 15 + n**2 + n**2. Is q(-35) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/133784 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1633 = -3*r + 337, -5*z + 9860 = 5*r. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940 a factor of 320937174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 - 180*d**3 + 1220*d**2 + 7200*d + 8000 = 0. What is d?\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = -2*a, -a = -2*x - 1. Let p be (-3)\/x*(3 - -1). Let c = -2 + p. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*s + 3 = 0, 1 + 3 = -4*s. Suppose 4 + 14 = 3*r. Suppose r = 3*n - n. Put -4, n, m in decreasing order.\nAnswer: n, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 2, -5, 1\/7, -52?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0 - 1\/3*p**3 + 14*p**2 + 0*p + 1\/24*p**4 + 7\/12*p**5. Let n be k(1). Which is bigger: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5 = 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 294*y + 7. Let g be x(-1). Let j = -292 - g. Let h(r) = 5*r - 4. Determine h(j).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5488 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 22*l**2 + 110*l + 47. Let n be x(14). Solve 14 = n*f - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 2. Let v be f(3). Let j be (-20)\/v - 27\/63. Solve j + 3 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 10.5. Let c = w - -3.676. Let p = 0.078 - c. Round p to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -55 and -449397.\nAnswer: -449452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2) + (-3 - -1) - -10. Let d be (27\/(-12))\/(3\/(-324)). Suppose d = v*a - 5*a. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 1. Let k be m(-2). Let o = -3 - k. Suppose -2*f - 31 = -5*f - o*a, -5*a + 46 = 3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.01, 0.2, 3\/2, 315?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*18\/(-60).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10. Suppose 2*z - 11 - 3 = a. Let i = 557 + -553. Solve -z*y - i = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s - 11. Suppose -3*v + 2*v = 6. Let d be (-2)\/(-6) - v\/9. Solve s*a + 1 = b - d, 0 = a - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 11*x + 5. Calculate the remainder when y(-8) is divided by (-108)\/16 + 6 + 54\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1403 and 262246?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107328 + -1?\nAnswer: -107330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 85, 456, 1067, 1912, 2985, 4280?\n\"Answer: -b**3 + 126*b**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 21. Let a be d(15). What is the greatest common factor of a and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048*s - 23367 + 6134 = -186*s + 327*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111000122 - 10?\nAnswer: 111000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 18*z**2 - 6*z + 42. Let u(h) = -52*h**2 + 17*h - 127. Determine 8*d(f) + 3*u(f).\nAnswer: -12*f**2 + 3*f - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 1827364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 3*u**2 + 2\/3*u**4 - 1\/6*u**3 + 0 + 0*u. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4156*x + 121843. Determine s(29).\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - f + 75. What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-18)\/(-30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 197 (b) -208 (c) 3 (d) 0.251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2 - 2*x**3 + x**3 + 3. Suppose 2*f - 5*f = 0. Let z be t(f). Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 30 - 4 - (-1 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110100000001100001100 (base 2) in base 11?\nAnswer: -6976981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 10*s**2 - 10*s + 1. Let z be t(-9). Suppose 15 = 5*g + z. Let p(m) = 5*m**2 - m + 1. Calculate p(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304543997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976470 divided by -5918.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 504 = 54*k + 9*k, 2*a - 49*k + 52*k = 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - 6*o**2 - 5. Let b(x) = -x**3 + x**2 + 1. Let i(r) = -11*b(r) - 2*y(r). Let m(j) = -j**3 - 5*j**2 + 6*j - 2. Let n be m(-6). Give i(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x*((x*x*((x*x**(1\/3))\/x)\/x)\/x*x)\/x*x)\/x)*x*x)\/x**(-5)*x**(-3)*((x\/(x**(-3)\/x))\/x)\/x assuming x is positive.\nAnswer: x**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (92 - 22 - (36 + -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1487503 is divided by 248.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/207101920 and 87\/362428360.\nAnswer: 1449713440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 3. Let o(l) = -11*l + 100. Let z(x) = -c(x) - o(x). Determine z(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + -9. Let t = c + 27. What is the nearest to 2 in t, -3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:22 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 338510950 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n. Let t be 4 - 1 - -1*1. Suppose -6*u + 9 = -3*u + 3*c, 0 = 4*u + 3*c - 7. Let h(d) = d**3 + 2*d**2 - 2*d. Calculate t*p(k) + u*h(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 1604?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, -4, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -262, 0.1 in increasing order.\nAnswer: -262, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(192) + -3 + 3 + 5.\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/975 and -11\/225?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 569478 divided by -149\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and -1122080569.\nAnswer: -1122080607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.26 minus 0.3?\nAnswer: -146.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -667\/5 + 134. Suppose 9 = 3*r, -3*q + q - r = -11. Let l be (q\/(-8)*0)\/2. Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -24, 1.\nAnswer: -24, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -1, 8, 11, 2, -25, -76?\n\"Answer: -f**3 + 6*f**2 - 2*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4770 divided by -53.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1756284*p**3 + 21449556*p**2.\nAnswer: -10537704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 835, 1260, 1685?\nAnswer: 2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24763 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 6*s - s + 596, -2 = 2*c. Let d be s\/(-34) + 1\/2. Let h = -0.3 - -0.1. Sort h, d, -1\/6 in decreasing order.\nAnswer: d, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 3) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*m**2 - 103*m**2 + m**3 + 2*m - 23*m**3 + 21*m**3 to the form p*m**2 + g + s*m + v*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*t = -10 + 26, 2*v + 5*t = -18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 6*m**2 + 9*m + m**3 + 0*m**2. Let v(j) = -3*j + 26. Let n be v(7). Determine a(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65502, 65505, 65508, 65511, 65514, 65517?\nAnswer: 65520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 108. Suppose 101 - 16 = v*l. Suppose l*c = 109 + 251. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + 3*sqrt(133)*2)\/(sqrt(56)\/sqrt(8)*4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1281)\/126)\/(36\/(-216))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 1 = 0. Let s = 13563 + -13563.1. What is the nearest to s in -6, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 107*o + 249. Let v be h(-7). Let m = -495 - v. Which is greater: -43 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose 2*z - 3 = 3*z, -2*z = x*r - 14. List the prime factors of (r\/(-1) - -21)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.95 + -0.05. Let w = -8 - a. Let k = w - 0.8. Sort 0, k, -4 in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163544 (base 9) in base 13?\nAnswer: -36cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqriqqrrrrqz. What is prob of sequence qs?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -87335140080160\nAnswer: 87335140080159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391\/35145 + -15\/781. Calculate the common denominator of o and -83\/792.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m. Suppose m = -2*l + 4*t - 9*t, 4*l = 4*t. Let a be -1*(8\/(-20) - l). Which is bigger: a or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3586171\/288 - -12452. Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -35. Let r(o) = o - 3. Let c be r(y). Let f(u) = 3*u + 7. Let v be f(c). Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -32.28\nAnswer: -161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*c + 45, -3*o + 15 = -0*o - 3*c. Suppose 48 - 17*i - o*i + 3*i + 3*i**2 = 0. What is i?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 divided by -109920?\nAnswer: -1609\/109920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008863416 rounded to five decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.9305, 14 in decreasing order.\nAnswer: 14, 7, -0.9305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 10. Let v = -8 + 29. Let x = v + z. Solve 0*h - 5*h = -3*n + x, 3*h = 4*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 45*q**2 - 136*q + 7. Determine w(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 19*c - 344. Determine d(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -661925, -1323461, -1985001, -2646545?\n\"Answer: -2*z**2 - 661530*z - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1500 = -257*t - 1165 - 933 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-27)*k**(2\/3) assuming k is positive.\nAnswer: k**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -842, -2, 23, -0.2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnuuunnuffztfffuf. What is prob of sequence fn?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) -1 (c) -4\/3 (d) 4 (e) 19 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 10*i**2 - 9*i - 18. Give f(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212200 (base 3) to base 10.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1336609 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -130 * -205686\nAnswer: 26739180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 41*t**2 + t - 26844. Let h(k) = -2*k**2. Give v(h(l)).\nAnswer: 164*l**4 - 2*l**2 - 26844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2829166\nAnswer: 5\/2829166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6012\/21 + 76\/28 + -3.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**3*d*k**3 + 177*c**3*d + c**3*k**3 + 31*c**2*d*k**3 + 15*c**2*k wrt c.\nAnswer: -42*d*k**3 + 1062*d + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*j + 27, -7*j + 15*h - 16*h = -5*j + 27 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*-1*sqrt(133))\/(2*sqrt(252)*-4).\nAnswer: 5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121175 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -18*k - 18. Let q = -0.3 - 0.2. Let y be 2\/(-4)*-3*-1. Which is the third biggest value? (a) q (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Suppose -4*n = 4*z - 52, -2*n - 15 = -5*n + 5*z. Let k be 7\/5 - 4\/n. What is the closest to 0.1 in -0.5, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2609 - 10321\/4. Let o be 2\/6*3*23. Let r = w - o. Is r less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, o: 2}. What is prob of sequence ooi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 15) to base 4.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234393.\nAnswer: 1234393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339202 is divided by 1776.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 31 = -3*v + 5*h, 28 = -4*v + 4*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 24\/11, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u**2 + 2*u + 11. Let w be x(4). Suppose w*b - 70 = -2*b. Calculate the smallest common multiple of b and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1900579082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 8*q**2 + 7*q + 19. Let t be j(9). Let h(p) = p + 3. Let r be h(t). Solve -4*y - y + 36 = r*w, 0 = 5*y - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8938 + (-4 - -7 - -10).\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1261994kg in micrograms?\nAnswer: 126199400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 79, 81, 83?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4867280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -6 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - m - 2 - 2)*(1 - 3 - 2) + m - m - 2*m)*(-7 + 2 + 0) to g*m + c and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 13 + (-15 + 11 - 20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*d = k - 8, 5*k + 4*d = 34. Let s(j) = j - k*j + 3*j. Let o(i) be the first derivative of 2*i**3\/3 + 2. Give o(s(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863 = 11088*g - 11115*g for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45832337099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 d when four letters picked without replacement from oghoooggrhgddo?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9\/4 (b) -258 (c) -4 (d) 3 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-142)\/4473*36*-3*(-3)\/9?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6417*m**5 + 9*m**2 - 6344*m**5 + 12818*m**5 + (-m**2 - 2*m**2 + 5*m**2)*(2*m**3 + 5*m**3 - 5*m**3) + 0*m**5 + 2*m**5 - 3*m**5.\nAnswer: 60*m**5 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-5))\/((-1)\/(-4)). List the prime factors of 12\/(-6)*(q + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2079 + -0.1799. Which is smaller: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - 1000100110000000000100?\nAnswer: -1000100101111111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/7 - 46*a**3\/7 - 24*a**2\/7 + 520*a\/7 + 736\/7 = 0.\nAnswer: -2, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 3580\/4 - 24\/(-4) - -3?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1015\/20 - 1\/(-4). Suppose -g = -2*i - 13. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + 0)\/(-4) - -3. Is 1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -3\/8 (b) 0.09 (c) 2\/7 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eel when three letters picked without replacement from {e: 18, l: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**6\/18 + y**4\/6 - y**2\/6 + 3. Determine w so that f(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 times 0.5?\nAnswer: -625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1008 and 2184.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.1072.\nAnswer: 0.02144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -87 + 3 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (4 - (-2 - -1)). Suppose 2*g - 3*g + 2 = 5*o, 3*o + 6 = 0. Solve 0 = s*m - 28 + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11724395?\nAnswer: 5, 53, 151, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 16, 95, 260, 541, 968, 1571?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*b = 12, 2*s - 4 = 392*b - 393*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 60, -4, -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 12 = 8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 36.00000022. Round o to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3581 + 678 = 233*p + 1098 - 4062 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/12*v**4 + 0*v**2 + 0*v**3 + 0 - 2*v + 0*v**6 - 2\/21*v**7 + 0*v**5. What is the third derivative of x(b) wrt b?\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 11 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c - 9*c + 5*c + (3*c - 2*c + 1 - 2)*(-7 - 9 + 7)*(-1 + 4 - 2).\nAnswer: -19*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5396*f**3 + 242\/5 + 17492\/5*f**2 + 50*f**5 + 3586\/5*f - 1070*f**4 = 0.\nAnswer: -1\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 5:00 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0316936725 to 5 dps.\nAnswer: -0.03169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:38 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)*(-2 + -1). Let u(c) = -c**2 - 9*c + 3. Let w be u(j). Suppose 0 = -w*k + 40 + 20. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 595\/(-45) + (-185 - -112) + 88\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*q*x**2 + 144638*m**2 + 4*m*q*x + m - 38*q*x**2 wrt m?\nAnswer: 4*q*x**2 + 289276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5441*i*l**2 - 3*i*l*m + 1570*i*l - i*m + i - 20335*l**2*m - l*m - l wrt l.\nAnswer: 10882*i - 40670*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 108612282.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 + 2383820*w - 284129889620 = 0.\nAnswer: 238382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11, -1, 3, 4, 28 in decreasing order.\nAnswer: 28, 10, 4, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7959552 days in minutes?\nAnswer: 1146.175488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 + 135. Let t = p + -473. What is the second biggest value in t, 0.3, 0.003?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -737*y**7\/35 - 3943*y**3\/6 - 2498*y**2. Differentiate q(c) wrt c.\nAnswer: -17688*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 19*u - 13. Let l(a) = -a**3 - 13*a**2 - 13*a - 4. Let h be l(-12). What is the remainder when 4\/(-6)*615\/(-10) is divided by c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143 - 6*s + 2*s**2 + 0*s**2 - 2*s**3 + 144 to the form c + h*s + v*s**2 + o*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13034 and 302916677.\nAnswer: 605833354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 300*l. Let j be t(2). Suppose -218*y + j = -217*y. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.478 + 0.679. Let t = -0.201 + q. Which is the closest to 1\/4? (a) t (b) 4 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -26?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, r: 2, z: 3}. Give prob of picking 3 r and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42160182, -42160181, -42160180, -42160179?\nAnswer: -42160178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:19 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.99. Let s = q - 0.41. Let j be (2391\/(-25504))\/((-6)\/(-8)) - 3\/40. Which is the closest to j? (a) 5 (b) 2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*p*v**3 - 3*p - 28*v**3 + 195 wrt v.\nAnswer: 201*p*v**2 - 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-three fifths of a millennium?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.529 + 0.029. Let i(w) = 19*w**2 - 2*w + 1. Let q be i(1). Let o be 23\/q - (-15)\/(-10). Which is the nearest to -2\/3? (a) d (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3657 = f + 422, -10 = 2*f. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 256*d - 5600. Is 20 a factor of c(112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6785 (base 14) to base 10.\nAnswer: 17953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101418 - 45131. Is 39 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2. Let p(c) = -6*c. Determine v(p(n)).\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3352*b*c*j**3 + 1303*b*c - 3*b*j**3 + 3*c*j**3 + 2*c*j**2 - 1753750*c*j + 3*j**2 - 2*j wrt b.\nAnswer: -3352*c*j**3 + 1303*c - 3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.4238ug to kilograms.\nAnswer: 0.0000000364238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -128, -4, 0.\nAnswer: -128, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24133, -24132, -24131, -24130, -24129?\n\"Answer: i - 24134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7257 + 7259. Let z(d) = d**2 + 7*d - 21. Determine z(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.622g in micrograms?\nAnswer: 942622000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 21 - (-2 + -10)) + -42\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a - 1\/20*a**5 + 0 + 1\/120*a**6 + 4*a**2 + 1\/6*a**3 + 1\/12*a**4. What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 20*w - f - 252 = 0, -243 = -w + 4*f. What is the greatest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1644 = 5*d + 2*a, 8*d + 318 = 7*d + 5*a. Let f = -296 - d. What is the remainder when f is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2*w - 179*u**2 - 79*u*w + 620162*u + 8361*w wrt w.\nAnswer: 2*u**2 - 79*u + 8361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1869000 and -103\/89000.\nAnswer: 1869000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35552 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 2*t - t)*((-5 + 4 + 4)*(1 + 1 - 4) - 1 - 1 + 7) to r + w*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1829 divide 259489375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21 + 28 + -12)*(-1)\/4 and 13\/(1*(-7 - 0))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/7, -0.5, 0.1, 0.06, 0 in decreasing order.\nAnswer: 3\/7, 0.1, 0.06, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.343 times -4449?\nAnswer: -1526.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -396 (base 15) to base 7\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(1\/8)\/m))\/(m\/m**(4\/11)*m*m))\/(m**(-5)\/m**(-7)) assuming m is positive.\nAnswer: m**(-155\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Let w(g) = -4*g**2 + 4*g - b + 3 - g**3 - 3. Give w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -5*z**4\/24 - 13*z**2\/2 - 5*z. Let p(k) be the first derivative of l(k). Let v(j) = 2*j. Calculate v(p(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(15 - 348\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021477 rounded to 7 decimal places?\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/112 - 21\/(-4). Solve -r = -5*x + 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8618.485cm?\nAnswer: 86184850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/210 and 88\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(6*x - 3*x + 0*x)*(29*x - x + 10*x).\nAnswer: -114*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8443 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: Does 6 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5224*f**4 + 29318*f**3 + 330844*f**2 - 30*f - 5?\nAnswer: 125376*f + 175908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**5\/80 - t**3\/24 - 4*t. What is o in r(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 968 by 121.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*v + 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 8\/7, 8023, -0.2, 3 in decreasing order.\nAnswer: 8023, 4, 3, 8\/7, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 4 + (-3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -689 - -2854. Suppose -4*w + 3*d = -2935, -w - v = -4*w - 5*d. Suppose -12*s + w = -7*s. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-2)**2 + 4 - (sqrt(68)*-1 - (sqrt(153) + -3)).\nAnswer: 5*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 291, 582, 887, 1212, 1563, 1946, 2367, 2832?\n\"Answer: v**3 + v**2 + 281*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.258 - 0.158. Which is the smallest value? (a) 3 (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 29*w**3 - 2*w**2 + 4*w + 2. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-7) + (-84)\/(-49) + -2. Let i(g) = 53*g**3 - g**2 - 4*g + 3. What is the units digit of i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 541, 662, 823, 1018, 1241?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = 4*a, -2*a = f + 2*a + 15. Suppose f*n - 6*n + 2 = 0. Solve n*z - z = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 + f**2 - 4*f**2)*(-3*f**2 + 5*f**2 - f**2) - 36*f**4 + 34*f**4 + 172*f**3 - 535*f**3 to o*f**2 + t*f**4 + d*f**3 + i + u*f and give d.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4\/7*b**2 + 3\/7*b**3 + 0 + 1\/7*b = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, c: 3, f: 2}. What is prob of picking 2 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + d - 2*d**4 - 39*d**3 - 13*d**3 + 51*d**3 + 126 - 2*d to the form p*d + q + z*d**3 + u*d**2 + k*d**4 and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -3 (b) -0.5 (c) -2 (d) -0.3 (e) 18.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47207, -188938, -425187, -755966, -1181287?\nAnswer: -1701162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.34666 millilitres to litres.\nAnswer: 0.09134666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2086 + 2112. Solve 0 = 15*n + c*n - 41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 6*l**2 + 5. Suppose -4*f - m - 22 = -0, 5*f + 3*m = -24. Let i = f - -10. Is y(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2 and -61\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i + 11. Suppose -2*r + 5*r - 18 = 0. Suppose -3*b + 4*f + f + 34 = 0, -r = 3*f. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q*q\/(q**(1\/2)*q)*(q*q**(-7)\/q)\/(q**(-6\/5)\/q)*q\/((q\/(q**(2\/7)*q*q)*q)\/q)*q*q**(2\/15)\/q*q*q**(2\/15)\/(q\/q**(-7)) assuming q is positive.\nAnswer: q**(-367\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = -n, 0 = 3*n + s - 498 + 494 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1030*q**4 - 256*q**4 + 543*q**2 - 543*q**2 - 2*q**4 - 2*q**2 + 2*q**2 + (5*q - 4*q - 2*q)*(-4*q**3 + 7*q**3 - 2*q**3).\nAnswer: 771*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -73.33 (b) 39 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 15. What are the prime factors of v(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -461?\nAnswer: 2\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(3\/(-54)) - 0. Let u be 1083\/8 + d\/(-48). Let k = 40 + -25. Calculate the highest common divisor of k and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 z when three letters picked without replacement from gugggqdqugdegzg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 163. Let b be ((-10)\/6)\/((-1)\/(-3)). Put 4, v, b in decreasing order.\nAnswer: 4, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 791\/9 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 1. Let j = 36 - 32. Let q(v) = -v**2 - v - 1. Let m(y) = j*q(y) - 3*r(y). Give m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1028*c - 665?\nAnswer: -1028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3222*v + 21712 - 111928 = 0 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/24 - r**3\/6 - 9*r**2 + 1. Let q(j) be the second derivative of -j**3\/6 + j. Calculate q(c) - 2*s(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 16 + 3*x)*(9*x**4 - 32*x**4 + 59*x**4).\nAnswer: 108*x**5 + 468*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -41*x**2 - 1 + 0*x**3 - 8*x**3 + 43*x**2. What is g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**5\/20 - j**4\/6 + 3*j - 3. Let d(y) be the first derivative of f(y). Find the third derivative of d(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 75, -1, -2.\nAnswer: -5, -2, -1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 2\/9 (c) 1 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237620017.\nAnswer: 237620017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 110390*d**3 + 812212740*d**2 - 1990190110330*d - 9971269672025 = 0. What is d?\nAnswer: -5, 7361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 341, 304, 235, 140, 25?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2166540 - -3?\nAnswer: -2166536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15966, -31939, -47930, -63945, -79990?\n\"Answer: -w**3 - 3*w**2 - 15957*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 563553270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22659 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 9 + 45. Let q be 2\/7 + 1 + 25\/35. Suppose 0 = -4*h - q*h + f. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 0.5 (c) -2 (d) -0.3 (e) 19\/2 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (844\/5908)\/((-2)\/(-175))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-717)\/(-54) - 10\/(-60). Suppose -17*r + 12*r + u = 0. Sort 0, r, 4.\nAnswer: 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**21)**(12\/5))**(2\/3) assuming i is positive.\nAnswer: i**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 25*r**2 - 3*r - 3. Let a(v) = -19*v**2 + 2*v + 2. Let o(k) = 3*a(k) + 2*w(k). Let h(x) = 11*x**2. Calculate o(h(u)).\nAnswer: -847*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + t**2 - 152*t + 48. List the prime factors of f(14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3804 + 7104. Let r = 1 + 3. Suppose 0 = -m - r, m - i = -4*g - 3*m. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:28 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80723, 82358, 85083, 88898?\n\"Answer: 545*o**2 + 80178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (-69)\/(-21). Let y(a) = 120*a**2 - 13. Is y(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*d + 53*d - 22572. What are the prime factors of d?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z + z - 3*z + (-37*z - 24*z + 16*z)*(-3 - 5 + 1) to the form s*z + c and give s.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a factor of 1708788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*k**3*u**3 + 3*k**3*u**2 + 190*k**3*u - k**3 + 2*k**2*u**3 + 34*k*u**3 wrt u.\nAnswer: 120*k**3 + 12*k**2 + 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6371 (base 12) in base 11?\nAnswer: 81a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, z: 1}. Give prob of sequence zk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 - 39*c + 19. Let q(z) = -3*z**2 + 19*z - 9. Let h(m) = 4*l(m) + 9*q(m). Let j be h(-16). Let p be j\/3 + 4\/(-6). Solve p*t - 8 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 193674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - (-8857680)\/12525. Let q = -10 + 17. What is the highest common factor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321530098, -643060197, -964590296?\nAnswer: -1286120395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -65. Calculate the remainder when k is divided by 399\/28 + (-20)\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 divided by -5?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m**2 + 0 + 0.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-1) + (2 - -2). Let o = 53 + m. Suppose 388 + 758 = o*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342471 (base 8) to base 15\nAnswer: 245a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -5*n, 2*n - n - k = 3. Solve n = -0*g + g + 5*m - 22, 0 = 2*g + 5*m - 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11287271461 and -7015.\nAnswer: -11287278476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6945, 6943, 6949, 6969, 7009, 7075, 7173?\n\"Answer: z**3 - 2*z**2 - 3*z + 6949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*d - 33, -158*r + 152*r + 3*d + 48 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/522 and -95\/2668.\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 150\/35)*(17 - -2664)?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/524129 and -1\/127?\nAnswer: 524129","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i + 86*i + 4*g - 8 = 0, -i + 2*g = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 326*z - 8613.\nAnswer: -(z + 29)*(z + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 620775.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.1 + 39.0816. Let l = d - -0.1257. Round l to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 5:48 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 74 in ascending order.\nAnswer: -5, 10, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-2)\/(-4)*(14 + -8). Let h be w + (2 - 2) + 5 + -13. Does 24 divide 2*10\/(-4)*48\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4457 is divided by 907?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2323330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**31*h\/(h*h\/(h**(-1\/17)\/h))*h**(-1\/28)\/(h**14*h) assuming h is positive.\nAnswer: h**(7095\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/18*((-12)\/30)\/(1\/(-7)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 5, q: 4}. Give prob of sequence cqf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346535?\nAnswer: 3, 5, 23, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 91.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**2 + 127*x - 13965. Determine o(-60).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 38400772*i + 38400768 = 0. Calculate i.\nAnswer: 1, 9600192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 + 0 = 2*m, -4*m + 5*c - 29 = 0. Suppose 5*z = -0*z - 2*u - 11, u + 1 = -z. Calculate the remainder when 55 is divided by 0 - (-56)\/12*z*m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/1 + 18\/(-6). Let r(n) = -3*n. Let u(y) = -7*y - 6. Let a(f) = f + 1. Let p(l) = -6*a(l) - u(l). What is w*p(q) - 3*r(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 2. Let u be 0 - (2 - t) - 5. Let a(j) = -j + j - 25 + 32 + j. Calculate a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2484 and 10476.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -250*(-2 - -849602)\/(-3). Suppose q = i + 2*i. Suppose -7*b + 5*b = i. What is b rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 196, 347, 500, 667, 860, 1091, 1372?\n\"Answer: 2*k**3 - 11*k**2 + 170*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 1 + 0 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 6. Let i be n(0). Suppose v - i*v = -420. Suppose 2*m = -5*m + v. Solve -x = -5*x - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 15 = 13*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 870 - 510. Let u = x - 2155\/6. Calculate the common denominator of (77\/(-132))\/((-27)\/(-72)) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 2*a**4 + 2*a**4)*(2*a - a + 0*a) - 7*a**5 - 2*a**5 - 6*a**5 + 15*a**5 + 58*a**5 - 18*a**5.\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -57*r**2 - 68. Suppose n - p + 5 = 1, -3*n - p = 0. Let t(k) = -k**2. Let x(f) = n*j(f) + 6*t(f). Differentiate x(s) wrt s.\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 50*g**2 + 45*g - 188. Calculate the smallest common multiple of a(-49) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a18 + -20?\nAnswer: 9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*j**3 - 1 + (-1 + 1 + 2*j)*(2*j**2 + j**2 - 5*j**2) - 338*j**2 - 49*j**3 + 338*j**2.\nAnswer: -49*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18522, -642, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.4. Let n = -1.8 - x. Let l = 1.7 + -1.3. Which is the nearest to -1\/3? (a) n (b) -1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j - 69. Determine l(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(96) + sqrt(96)*2*-5))\/(1*sqrt(243)*-4).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-24)\/(-9))*(-3)\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 42 = 4*a + 105 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -4*i**6\/15 - i**5\/10 + 3*i**2 + 45*i. What is the first derivative of y(h) wrt h?\nAnswer: -32*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4926705 kilograms to tonnes.\nAnswer: 0.0004926705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and 16506.\nAnswer: 16529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(2\/5)))**(3\/2)*(i\/((i\/i**(-1\/4))\/i))**(12\/5)*(i**(-4)*i**(2\/5))**(-9\/8) assuming i is positive.\nAnswer: i**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540746951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15940*115\nAnswer: -1833100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31342269*x - 67930898 wrt x.\nAnswer: -31342269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 658 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from hfhrfixlrifi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = -10. Suppose a = -z + 42, 0 = -f*z - 5 - 5. Calculate the remainder when a is divided by -11 + -19 + 25 + -2 + 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - -69) + 69 + 14?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 14384?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164*t + 38*t - 51*t + 2268 wrt t?\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*v + 66*v = 2147 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 4)*(8102*j - 6226*j + 13 - 13).\nAnswer: 15008*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106862\/(-770) + (-4)\/(-22). Let h = c + 139. Factor 2\/5*f - h*f**2 + 4\/5.\nAnswer: -2*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3999, -15979, -35937, -63873?\n\"Answer: -3989*y**2 - 13*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 21800 + 30215 = 0. Suppose 3*p + 77988 = -4*j, 2*p + 0*j = 5*j - v. Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -40.689.\nAnswer: -40.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -171, -281, -497, -855, -1391?\nAnswer: -2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116706.\nAnswer: 2, 3, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 15 = -51. Suppose 9*w - 4*w = 20. Solve -r - w*l = -2, -c*r - 4*l + 10 = -6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 2, 9, -0.3, 0.1, 17?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - d**3 - d - 2*d - 15*d**4 + 16*d**4 + (28*d - 100*d - 95*d)*(-3*d - d**3 + 3*d) to the form v + z*d**2 + q*d + g*d**3 + w*d**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g + 43. Let a be f(5). Suppose -w = -a*r + 111, 89 = 4*r - w - 59. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*t + t + 29, 0 = 4*w + t + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 427 - 379. Solve -69 = -7*d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 587550 - 219090. Round c to the nearest 1000.\nAnswer: 368000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-8) - 3\/6)\/(-1). Solve 1 + c = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 - -197. Which is the closest to 2? (a) -0.3 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhh when three letters picked without replacement from {h: 5, b: 1, z: 1, q: 2, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -170078 divided by -5\nAnswer: 170078\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 2*w + 6. Let i be u(-4). Let t = i - -22. Let j be 0 + (-4)\/(-4) + t. Sort 1, j, 2 in descending order.\nAnswer: j, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 4*q - 1. Suppose -68 = -24*a + 220. Let k be 64\/a + 1*2\/(-6). Let u(t) = -t**2 + 4*t - 1. Give k*u(j) - 6*c(j).\nAnswer: j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let k = 219 - 219. Let r(v) be the second derivative of k - v + 0*v**2 - 1\/6*v**3. Calculate f(r(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*m - 238*m = 5*h - 16, m + 4 = 3*h. Let k(u) = 8*u - 8. Calculate the remainder when k(4) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 17*f**2 + 16*f + 40. Let z be s(18). Find the second derivative of 18*i - 34*i**z + i - 4*i + 7*i wrt i.\nAnswer: -408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39687 - -382?\nAnswer: -39305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-64)*(-2)\/15)\/((-4)\/(2*370))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23958 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5 - 15*v**4 + 21*v**3 + 3*v**2 - 24*v + 12 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(33) - sqrt(2673)) + sqrt(33)))\/sqrt(11) + 2.\nAnswer: -21*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-9) + (3 - 0))\/(42\/(-7245)). Solve 160*h = g*h + 135 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o + 1 + 35*o**2 - 5*o + 2*o**3 - 5*o as c*o**3 + t + n*o + w*o**2 and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1088) + (sqrt(1088)*2 - sqrt(1088)).\nAnswer: 3 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b + 0 + 12 + 10*b**2 - 7*b + 12*b**2 = 0.\nAnswer: -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 1299 = -6*w. Calculate the remainder when w is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 145*w - 2*w**2 + 123*w to the form u*w**2 + f*w + y and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*o)*((-5*o + o + 3*o)*(1 + 0 + 0) + 8*o + 4*o + o + 0 - 2 + 0*o + o) to the form y*o + w + x*o**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Suppose 4*k = -r*k. Let o be 0 + -2 + 35\/14. Is o greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {l: 5, q: 1, w: 3, m: 1, n: 3, g: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 994*x**5\/5 + 17*x**3 - x**2 - 997. What is the third derivative of z(j) wrt j?\nAnswer: 23856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/17 - 132\/425. Are 3 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmgg when four letters picked without replacement from gmvgmv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12363759 by -8.\nAnswer: 12363759\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1724 + 608101.72?\nAnswer: 606377.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f - 481*f**3 + 3 + 29*f + 484*f**3 + 2*f**2 as u*f**3 + g*f**2 + b + y*f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-9 + 8) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3, -c - w - 17 = -11. Put c, -2, -4 in descending order.\nAnswer: -2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + j = -86, 0 = -v - 2*j - 0*j + 26. What is the remainder when 170\/(-4)*4\/(-2) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + 14?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 + 14))\/((-4)\/(-8)) + (4 - 11).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -0.3 (c) 1\/6 (d) -139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1886*x**5 - 15782*x?\nAnswer: -37720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -9.6. Let j = 4 + d. Which is the third smallest value? (a) -0.06 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t + 17. Let d be b(10). Let i = d + 147. Let z = i - 59. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 8. Let w = -1533 + 904. Let g = 636 + w. Determine u(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805954 is divided by 20139?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 6 + 0)*(-4*c + 6*c - 4*c + (2 - 5 + 2)*(2*c + 0 + 0) + 5*c + 2*c - 6*c + 0*c - 3*c + 2*c) in the form b*c + a and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllc. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 4*r**2 + 3*r**3 + 60 - 224 - r**3 as c + a*r**3 + j*r**2 + h*r and give c.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b + 87. Let t be k(-14). Suppose m - t*o = -3*m + 389, 2*m - 187 = 3*o. What is the remainder when m is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*i - 157 = 0, -5*i + 111 = 3*s - 2*i. Solve -b + q - 3*q + 8 = 0, -5*q + s = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3153 - -3158. Let k be (-2)\/(-6) + 95\/3. Suppose x - k = -x. Sort x, q, -4.\nAnswer: -4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925 (base 11) in base 9?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccoooc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:15 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183427?\nAnswer: 43, 271, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-5)\/200)*219\/365.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -5ad488?\nAnswer: -5ad485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccrc. Give prob of picking 3 c.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1*2\/4. Let d be 9 + 2 + b + -1. Suppose v - d = -2*v. Solve -v*x = -6*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263981709.\nAnswer: 3, 31, 61, 15511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88856 and 144?\nAnswer: 1599408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 384. Suppose -2*f - f = 3*v - 18, -4*f + 12 = 0. Suppose -5*w = -v*w - y. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -125*s + 441. Let h be t(3). Suppose -2*p - 207 = 4*q + p, q + 5*p = -39. Let o = q + h. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52739 - -65.\nAnswer: -52674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -20. Let k be 0*(-4)\/l*1. Solve k = 2*h + h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27b3 + 5?\nAnswer: 27b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7378 - 3671. List the prime factors of m.\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*o = 54, 2*o - 6*o + 28 = 3*y. Let g = y - 9. Factor -11*u**3 + 2*u**2 + 5*u**3 + 0*u**g + 6*u**4 - 2*u**5.\nAnswer: -2*u**2*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4673 times -33\nAnswer: 154209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1964 + 1967)*(-1 - (1 + -1844))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + -3*sqrt(363) + sqrt(363) + sqrt(363))\/sqrt(11))\/(sqrt(150)\/sqrt(2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x = -3*v + 67, 24 = 2*x + 4*v. Suppose 2*t - x = -6. List the prime factors of 61\/9 + t\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 2*y**3 - 3 + 2*y**4 - y + 5 + 2*y**3 to the form g + d*y + l*y**2 + n*y**3 + x*y**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2dbab8 (base 14) to base 6\nAnswer: 54241254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 888\/74 - ((-1 - 1) + (-4864)\/(-348))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15\/8)*o*o**4*o)\/(o*o\/((o*o*o\/(o\/((o*o**(-1\/39)\/o)\/o))*o)\/o)*o\/(o*o**(-1\/42))))**(1\/82) assuming o is positive.\nAnswer: o**(2239\/59696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 55, 1\/4, 0.14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 - 6*u + 2. Let g be (-2)\/(6\/(-21)) + 2. Suppose 49 = 5*c + g. Calculate the remainder when j(5) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57700919?\nAnswer: 71, 812689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -107*r**7\/210 + 11*r**4\/2 - r**2 - 22*r. What is the second derivative of c(k) wrt k?\nAnswer: -1284*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*y - 125*y + 5*g = -4830, 0 = -y - 5*g + 2400. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -4, 0, -5 in increasing order.\nAnswer: -5, -4, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*m + 588 - 588 to the form p + r*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 544871 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 46 = -9. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - 1) + (8 - 3). Let c(s) = -11*s - 22. Let z be c(r). Let x be (88\/z)\/((-4)\/(-14)). Put -0.5, x, -1\/15 in descending order.\nAnswer: x, -1\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 3, h: 1, u: 5, f: 1}. What is prob of picking 1 c, 1 h, and 1 f?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -80. Suppose 0*g - 4*j - 96 = -4*g, 3*j = 2*g - v. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -29 + 8*i**2 + 26*i**2 - i**2 + 20*i - 2*i**3. Let g be z(17). Calculate the highest common factor of 99 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 472387539 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224140 - -42113?\nAnswer: -132022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 12*9\/(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 148 = -6*o, -2*o = -5*v + o + 143. Calculate the remainder when 139 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21738 divided by -74.\nAnswer: 10869\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/220 and 19\/198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 2*a + 1. What is the units digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 4, w: 3, h: 4, x: 4, r: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 - 1069*k + 2578. What is m(92)?\nAnswer: -2666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130380 (base 9) to base 16.\nAnswer: 134c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g - 5. Suppose 0 = -3*q - 0*q. Determine o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10169664, -10169634, -10169604, -10169574?\n\"Answer: 30*v - 10169694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 17 = -8*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5762*f**2 - 6543*f**2 - 3083*f**2 + 65.\nAnswer: -15388*f**2 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/54*-1*3\/(-1). Suppose -m + 35 = -4*s + 3*s, -s + b*m - 32 = 0. Let g = -37 - s. Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 2. Suppose 0 = h + 2*f - 2, -42*h + 45*h + 5*f - 4 = 0. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*g + 43, 13*h + 7*h = 23*h + 5*g - 76 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.86 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -1195, -1784?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (4 - -2 - 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 285*k - 286*k - 2, -25*v + 27*v - 32 = -11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-5) + (-36)\/11. Is b at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 0. Let r(z) = f - 7*z + 0*z**2 - 3*z**2 + 4 + 5*z**2. Give r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 f, and 1 j when four letters picked without replacement from {b: 3, j: 8, u: 2, f: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + 8 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 10*i**2 - 2. Suppose 2*o - 16 - 16 = -3*k, -o - k + 14 = 0. Determine b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let j be 10792\/(-570) + 5\/(-3). Let t = j - -102\/5. What is the closest to v in -2\/3, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -47 + 55 - y**2 + 11*y + 13 + 32. Let x be b(14). What is the greatest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.9 - -5.3. Let f = -28.4 + o. Let h = 30.028 + f. What is h rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zonnnznojj. What is prob of picking 2 j and 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 16*h + 17. Let v = -14 - -21. Let j be t(v). Let -1\/2*b**4 + 1\/2*b**2 - 1\/2*b**5 + 1\/2*b**j + 0 + 0*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 107676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59205501*b + 39515451.\nAnswer: 59205501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113687?\nAnswer: 7, 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from ftsxu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*p = -231, q - 5*p + 255 = 5*q. Suppose 25*t - 20*t = q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0 (b) 0.547 (c) -0.2 (d) 6\/5 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/1459 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + sqrt(168) + -1*sqrt(168) + sqrt(168) + sqrt(168))\/sqrt(12))\/sqrt(7))**2 + 4 + 5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7335427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 35436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 94\/(-8) - 2\/8. Let q = 17 + c. Suppose 0 = -t + q - 3. Solve -3 = t*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3368 and 45\/3368.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -142.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -650, -1150, -1666, -2204, -2770, -3370?\n\"Answer: -i**3 - 2*i**2 - 487*i - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (31 + 0)*(-6)\/(-3) is divided by (-232)\/24 - -9 - 116\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3146 + -2351. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s - 801. Calculate i(53).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3454, 6916, 10380, 13846, 17314?\nAnswer: 20784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 42 = -4*i. Let p(o) = -16*o - 80. Let x be p(i). Solve 2*s + 8 - 4 = x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:23 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 7. Let a(x) = -19*x + 114. Let i(c) = 36*c - 226. Let p(n) = -11*a(n) - 6*i(n). Let g be p(-15). Calculate the greatest common factor of j and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/66*2*(-3)\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, r: 1, m: 1, x: 1}. What is prob of sequence rz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 25*j - 749. Give u(-44).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 12*h**2 + h + 16. Let j be s(-12). Suppose -j*d + 2*d = -404. Suppose -7 = 13*a - d. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -176 - -835?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-930)\/(-39) + 4\/26. Suppose -b + p = 2*b. Calculate the lowest common multiple of 10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.8 + -18. Let a = b + 0.19999965. Round a to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 11, 1 in increasing order.\nAnswer: -5, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = l + 5. Suppose 5*g = l*u + 910 - 235, 3*u = -g + 135. Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4901?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**3 + d**2 - d - 1. Let b be w(-1). Let c = b - 5. What is the greatest common divisor of 8 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 8. Let n(y) = 2*y - 3. Let q(g) = -g**3 + 5*g**2 - 5. Let p be q(4). Let v = -55 - -59. Determine p*n(l) + v*z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Let b(g) = 163425*g**2 - 2*g. What is b(w(z))?\nAnswer: 163425*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 + 33*w - 126. Suppose -30*t - 20 = -35*t. List the prime factors of d(t).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233 - 101130?\nAnswer: -110023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430.26 litres to millilitres.\nAnswer: 3430260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -7*t + 36. What is the remainder when 60 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 254, 826, 1936, 3764, 6490, 10294?\nAnswer: 15356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 11*n**2 + 18*n. Let k be g(9). Find the common denominator of 2 - k - (2 + (-168)\/(-54)) and -76\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 21, 43, 87, 159, 265, 411, 603?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183312 and 32160.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129054 and 494707.\nAnswer: 2968242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/28)\/4 - 46\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 31944 = -4*h, j - 26*h = -27*h + 31926. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = -2*u. Suppose 8*w - 7*w - u = 0. Let x(b) = -b**2 + 3*b + 3. Let a be x(w). Solve m - 6 = 3*m - a*v, 3*m + v - 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4136 and 51\/2552.\nAnswer: 119944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -115 (b) 1 (c) -3 (d) 2\/37 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 9. Let g be f(-4). Suppose 3*c = -u + g, -4*u - c = -0*u - 115. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {d: 3, r: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96561691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(468))*-3)**2.\nAnswer: 324*sqrt(13) + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7065407\/6 + 1172941. Let k = d + 4645. Find the common denominator of -49\/724 and k.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/14 (b) -47\/7 (c) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61654151863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5263686.58 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(6\/7)\/f)*f**(-6)\/f*f**(2\/5)*f\/(f\/(f*f\/f**(-3))))\/(f**4*f*f*f**4*(((f*f**(-5))\/f)\/f)\/f*f*f**(3\/5)) assuming f is positive.\nAnswer: f**(-247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993958623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23373*q**3 + 23360*q**3 + 4*q + 2 - q**2 + 0*q**2 to the form l*q + w*q**3 + n + a*q**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -11 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 414 - 126?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5601.71 - -5543. Let i = h + 60. Let r = 0.29 - i. Which is the third smallest value? (a) r (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93753551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/(2\/240). Suppose -3*r = -3*d + 341 - 86, 3*r + 345 = 4*d. Calculate the highest common factor of d and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2630809554 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -32. Let r = o + 34. Solve r*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtm when four letters picked without replacement from mtqmmmmqqt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t - 5*s - 5 = 0, 29 = 5*t - 2*s. Put -5, -3, 8, t in descending order.\nAnswer: 8, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1315 - -1276. Put 1, 0, s in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 52*f**3 - f**2 + 43 wrt f?\nAnswer: 120*f**3 + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1788 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 93 = 4*k + 305, -233 = -2*p - 3*k. Suppose 0 = -3*y - 3 + 6. Let f be 12 - (2 - 4\/y). What is the greatest common divisor of p and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 - ((134 - 195) + -94)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.011 and -42671.\nAnswer: -42669.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(6 - (-2091)\/(-162) - (-15)\/5 - -4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 3}. Give prob of sequence tt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -73, -9 in decreasing order.\nAnswer: 5, -3, -9, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -1. What is the smallest value in c, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 12*x - 33*x - x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-459)\/(-85) + -48 + 53?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - q + 3. Suppose 0 = 189*z - 192*z + 9. Let v(x) = -x**2 + 2*x - 4. Determine z*v(t) + 4*f(t).\nAnswer: 5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6328769?\nAnswer: 3164384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-29 + 32 + -10 + -7 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:13 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let g(f) = 3*f**2 + 9*f**l - 4*f**2 - 2*f**2. Let u(m) = -3*m. Calculate g(u(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (615 - 433 + 185)*(5 - r - 5)*(1 - 1 - r)*(2*r + r - 5*r)*(1 - 4 + 1).\nAnswer: 1468*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 12}. Give prob of picking 1 j and 2 s.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:47 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 129.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3719*s**2 - 468*s**2 - 4520*s**2 + 3542*s**2 - 9830*s**2.\nAnswer: -14995*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 - 20*l - 72. What is w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07121989 - 2.92878361. Let m = 3 + w. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x + 8. Let t be 2958\/(-66) + 4\/(-22). Let b = t + 34. List the prime factors of w(b).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b - 227*b**3 + 22 + 11*b**2 + 2*b + b + 226*b**3. List the prime factors of o(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/6*14\/(70\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (3 - (5 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*z**2 - 1 + 4*z**2 + 78*z**3.\nAnswer: 78*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 u when four letters picked without replacement from {h: 12, u: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + (-300)\/45. Let l(w) = w**3 + 6*w**2 - 8*w - 3. Let f be l(i). Let b be (0 - 0)\/(-3 + f). Which is greater: -1\/15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4480104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:56 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 3*u - 12, -3*c + 6 = u. Let g = u + 6. Let s(f) = f**3 - 10*f**2 + 7*f + 13. Let o be s(g). What is the smallest value in o, 0, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 + -1 + 1). Let x = i - -1. What is the units digit of 5*(x - (-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 8e237?\nAnswer: 8e239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**2 + w - 3. Let o(k) = -k. Let d = 44 - 50. What is d*o(j) - t(j)?\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 7*k + 9. Suppose 3*q = -v - 8, -3*v + q = -6*v. Let r(x) = -x**2 - 4*x - 4 - v + 0*x. Give -3*h(b) - 5*r(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407414543?\nAnswer: 71, 103, 55711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + (11 - 12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/3 + v**3\/3 - v**2\/2 + 1402*v. Let w(p) = 4*p**2 - 2*p + 2. Give -2*w(f) - 3*y(f).\nAnswer: 4*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2270666 = -4*f, -5*m - 3*f + 1892280 = -8*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 54*x**2 - 192*x - 1134. Give s(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h - 2*b - 1, 3*b = -3*h - 6. What is the second derivative of -h*c**2 + 3*c**2 - 2*c + c**3 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66567524 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9)*-10 - 3. Which is the third biggest value? (a) i (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 53. Let z = q + -18. Solve 0 = 2*u - z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 726, 675, 678, 735, 846, 1011?\n\"Answer: 27*p**2 - 132*p + 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nonn when four letters picked without replacement from {o: 5, d: 2, n: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 313209, 626396, 939583, 1252770, 1565957?\n\"Answer: 313187*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*v**4 - 262*v**2 - 94818*v?\nAnswer: 1104*v**2 - 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3931 - -3933. Let d(a) be the third derivative of 10*a**m + 0 + 2\/15*a**4 + 0*a - 1\/75*a**5 - 8\/15*a**3. Suppose d(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427648113 divided by 3879.\nAnswer: -110247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0 - 8\/21*z**3 + 2\/3*z**2 - 2\/7*z = 0.\nAnswer: 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 34 = -4*w + 5*w, -n - 4*w = -16. Let z = 66 + -45. Suppose 9 = -4*g + z. Solve -n*r = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 374 - 374. Let k(w) = -35*w**2. Let p(s) = -69*s**2. Let n(l) = 13*k(l) - 6*p(l). Give v(n(g)).\nAnswer: 1681*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/3)*d**(7\/3)*d)\/(d**3*((d**(1\/4)*d)\/d)\/d))**(-1\/9))**(2\/57) assuming d is positive.\nAnswer: d**(-5\/3078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*i**2 + 1475*i**2 + i**3 - 736*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 1 + (-53)\/((-118985)\/6750). Let u = -3605275841\/169709428 - -47\/94493. Let j = h - u. What is the common denominator of j and 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11374 and 1999286?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/70 - 23*j**6\/240 + 7*j**5\/60 + j**4\/16 - 361*j**2. Factor a(b).\nAnswer: b*(b - 3)*(b - 1)*(6*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(9)*4 - sqrt(14)\/sqrt(7)*4 - (-5 + ((sqrt(8) + 2*sqrt(8))**2 - (sqrt(2)*1 + 5))).\nAnswer: -62 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 - 131103176*n\/3 - 2148505344660872\/3 = 0. What is n?\nAnswer: -32775794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 742049.7 micrograms?\nAnswer: 742.0497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/15 - 1519\/245. Let w(a) = 9 + 19 - 10 + 2*a. Let u be w(r). Solve -u*b = -5*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31160 rounded to the nearest one hundred?\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6226\/51, 4, 15, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:56 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)*k**(2\/17))\/(k**(-1\/4))**(-39))\/(((k\/k**6)\/k)\/(k*k**(-2\/5))*(k*k\/(k**2\/k*k))\/k**(2\/7)) assuming k is positive.\nAnswer: k**(-17231\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -630 + 623. Which is the biggest value? (a) j (b) 4\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 + 1191*j**3 - 3600*j**2 + 12*j + 4800 = 0 for j.\nAnswer: -400, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 16.9. Let g = 0.8 + a. Let z = -2 - -2.1. What is the smallest value in z, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010010011101 (base 2) in base 10?\nAnswer: -17565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.343854 to 3 dps.\nAnswer: 0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-2 + (-3 - -6)). Let o(v) = 8*v**3 - v**2 - 2*v + 8. Let a be o(x). Suppose a = 5*g + 393. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251\/114 - -12647\/2508. Let p = 11\/4 - j. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5411 (base 14) to base 10\nAnswer: -14519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/9 and -53\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221 times 35.33?\nAnswer: 0.780793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-8 + (1 - 5) + -5 - -9)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12279719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -126555 times 0.183\nAnswer: -23159.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (676\/390*(-60)\/(-8))\/1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1818163904 smaller than -1818163903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 35*c + 38*c**2 + c**3 - 107*c**2 + 0*c**3 + 48*c**2 in the form k + z*c**2 + t*c + l*c**3 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4978 is divided by 268?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10372206 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 10.1. What is the third biggest value in q, -1, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71279*m**2*w - 8*m**2 + 16*m*w - 8*m - 4*w + 1675 wrt m.\nAnswer: 142558*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 14 = 2*c - 5*t, 2*t = -4. Suppose -4*p + 5 + 5 = 2*l, -4*p + l + 19 = 0. Let w be (-4)\/p + (-3)\/(-1). Sort c, w, -5 in decreasing order.\nAnswer: w, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 468 = 3*a, -390 = 4*a + 5*g - 1033. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*w - 12 = -3, 5*h - 42 = -4*w. Suppose x + 6*o + h = 2*o, -5*o + 9 = 4*x. Calculate the least common multiple of x and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5511746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-8))\/(3\/(-72)*147\/98)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.45 - -0.45. Let s = 0.08 - 0.28. Let q = -13\/20 + 1\/20. What is the nearest to s in a, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 1800. Let s be ((-380)\/(-9) - 3*-1) + 398\/(-1791). Calculate the greatest common factor of s and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkttktkttktkttkt. What is prob of sequence ttk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -293, -275, -257?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*a - 14, -4934*a = -4930*a - 4*f - 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 2*g - 4. Let b(z) = -24*z**2 - 56*z + 112. Let o(d) = 2*b(d) + 56*x(d). Let f(q) = -33*q. Determine f(o(u)).\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3\/8)\/d))**(41\/5)\/(d**5\/d**(1\/9)) assuming d is positive.\nAnswer: d**(5251\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r + 21. Let v(z) be the third derivative of -z**6\/120 + z**5\/30 - 5*z**4\/24 - z**3 + 36*z**2 - 2*z. List the prime factors of v(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*p = -93, -6386*f + 6383*f + 5*p = 67 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 3*c + 0 + 6 - 2. Let s be y(-3). Is 3 + -3 + s + 27 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9249380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5100 and 22?\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111011011 (base 2) to base 12.\nAnswer: 32a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21951*j - m - 50 = -21952*j, -5*j + 4*m + 197 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3951705 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(363) + (sqrt(363) - (-1 + 0 + sqrt(363))) - ((sqrt(363) - -1*sqrt(363)) + -1))*1*-3 + 4)**2.\nAnswer: -2112*sqrt(3) + 13324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11994.585 to the nearest 100.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**3 - 2*m**3 + 0*m**3)*(3*m - 3 + 3) + (65*m**2 - 15*m**2 + m**2)*(-m**2 + 0*m**2 - m**2) as h*m**3 + a + x*m + d*m**4 + s*m**2 and give d.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2399.6754 milliseconds to hours.\nAnswer: 0.0006665765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*g - 135*g - 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/(v\/v**6))\/v*v))\/v*v\/(v**(-3\/7)\/v)*v**1\/(v*v*v*v**(2\/9)*v) assuming v is positive.\nAnswer: v**(-491\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 1 - 328*f - 44 to the form g + h*f and give h.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 80*h**2 + 48*h**2 - 2 in the form o + v*h + k*h**2 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 - (4 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 13 - 0)*3. Let d = -20 + m. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130.7358 <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 1, f: 2, w: 1, g: 10}. Give prob of sequence gw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-7) + (-14 - -1 - -21)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-10605)\/(-550))\/7)\/(-2 - 10) and 103\/770?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 709057.7 centuries?\nAnswer: 7090577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-1*sqrt(5)))\/((2*sqrt(16))\/sqrt(8))*-1.\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -220*v**3 - 12*v**2 - 3*v + 58. What are the prime factors of y(-4)?\nAnswer: 2, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014076331 rounded to 6 dps?\nAnswer: 0.014076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3973 + -d2?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86485027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2055177443 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -598 + 0.025509921418\nAnswer: -597.974490078582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6 (b) 0.4 (c) -0.4 (d) 0.64 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/5, 2, -0.3, -12, 10, 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.312 and -1.2.\nAnswer: -0.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34650 and 87?\nAnswer: 1004850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7334885 to the power of 1\/2, to the nearest integer?\nAnswer: 2708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -103*s**2 - 296*s - 2. Determine z(-2).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 6*z + 14. Let x be v(8). Let t be -30*(-40)\/(-12)*x. Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.01 (c) -523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2 - 23607*g + 1885533?\nAnswer: 2*g - 23607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1233 (base 4) to base 7\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/60 + t**3 - 2*t**2 - 9*t. Let v(o) be the first derivative of a(o). Let c be v(0). Solve -5*y + 21 = c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -96*k + 131. Give o(0).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -740\/23 greater than or equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*(-158841)\/(-4293).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and -24875089.\nAnswer: -6965024.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165 + (4 - 85) + -91.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b8 (base 14) in base 3?\nAnswer: 1211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-2\/3)*j**(-4)\/(j\/(j*j\/j**(-2))) assuming j is positive.\nAnswer: j**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(4 - 2) - 0. Suppose r = 2*r + t. What is the remainder when 19 is divided by 16\/r*15\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 67, 208, 477, 916, 1567, 2472?\nAnswer: 3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 + 4*z - 3. Let c = -8 - -2. Let b be m(c). Suppose b = -3*s + 36. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 28656*k - 143279. Calculate u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2276, 4531, 6774, 9005, 11224, 13431?\nAnswer: 15626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 5. Let j(d) = -d**2 + 7*d + 2. Let q(k) = -k - 1. Let i(o) = -j(o) - q(o). Let g be i(7). Suppose g = -2*l - 8. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4574 is divided by 82.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7632310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4571101 is divided by 281.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9665 is divided by 1606.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*8 + -1 + 1. Let g be -9*((-6)\/(-8) - 102\/n). Suppose -5*a = 0, 0 = 3*q + a - 2*a - g. Solve 0 = 4*v - q*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - i**2 - 5.\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4*y*z + 3*q**4*z - 6*q**3*y*z - 4*q**2*y*z - 2*q*y*z - 6*q*y wrt q?\nAnswer: 24*q*y*z + 72*q*z - 36*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -3, 5, 2, 3, -114\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1479079 or 1479077?\nAnswer: 1479077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 347046.532 and 55.45?\nAnswer: 346991.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 4, -96*q + 98*q - 2*s = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -461, -1537, -3635, -7097, -12265, -19481, -29087?\n\"Answer: -57*d**3 + 2*d**2 - 3*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -18, 2, 5, -457, -5 in increasing order.\nAnswer: -457, -75, -18, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/15 + 970*c**4\/3 - 14642*c**3\/15 - 179738*c**2\/15 - 53368*c\/5 + 116544\/5 = 0. What is c?\nAnswer: -2428, -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 4) + 6 - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157853556 and 4248.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) - 273\/63. Sort 0, -9, p, 2.\nAnswer: -9, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 10. Let w(h) = -h**3 - 2*h. Let i be w(-2). Let s = i - -43. What is the greatest common divisor of s and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*n = 12, 3*o - 4*n - 22 = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 - 3*a - 3. Let k be v(-1). Suppose 3*i - 13 - 59 = k. Calculate the highest common factor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -446?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 446615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022122 (base 3) to base 16.\nAnswer: -974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*g = -2*o - 10, 0 = 2*g - 10. Suppose -3*p - p = -4. What is the smallest common multiple of p and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40192621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 15) + 35\/5 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1685\/176 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16911404 to the nearest 1000.\nAnswer: 16911000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)\/m**(-5)*(m**3\/m)\/m**(-6)*(m\/(m\/(m*m**3))*m**(-5\/6))**48 assuming m is positive.\nAnswer: m**(331\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -47*a**5\/60 - 29*a**2. Let v(l) be the first derivative of 3*l**2 + 122. Calculate v(o(x)).\nAnswer: -282*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 23 + -20 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -866351.828 rounded to the nearest 1000?\nAnswer: -866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50157078 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c24 - -4f?\nAnswer: -5bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 6. Let j be r(-8). Suppose v - 4*v + 102 = -g, 5*g - 68 = -j*v. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.42898 and -5?\nAnswer: 3.57102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4*h - 3*h + (h + h - 4*h)*(1 - 3 + 0) + (0*h + 2*h - 4*h)*(2 + 4 - 5) + 1 - 2*h - 1 - 2*h - 5*h + h)*(-3 + 3 + 2*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 56, 6 in decreasing order.\nAnswer: 56, 6, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 8 - 21 + 5 - 228*d in the form a + b*d and give b.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -918 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 49*g = 0. Solve -5*c + g*c + 4*j + 37 = 0, -j + 17 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523753 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = q + 3*b, 3*q + 4*b = 5*q - 140. Suppose -4*a + 64 = -2*a. Calculate the highest common factor of q and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 1673, 9, 2, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -816774 and -15416?\nAnswer: 801358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (65\/(-4))\/(9\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 10, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-6)*(1358\/84 - 16). Which is the nearest to -2? (a) h (b) 0.2 (c) 2\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123137 = -52*l + 3*l. What are the prime factors of l?\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/5)\/u)\/u**5)\/((u*u*u\/(u**(-1)*u)*u*u)\/u*u*u*u*(u\/u**6)\/u) assuming u is positive.\nAnswer: u**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*h - 495, 2*h = -z + 7*h - 91. Let w = z - -103. Solve -w - 7 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112.31244276 + -3\nAnswer: 109.31244276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2\/(6\/(-9)). Suppose -d - 105 = -0*n + 5*n, 4*d + 477 = -n. Let p be (-2500)\/(t\/d*1). What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.058, -1\/63, 18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*3)\/((2*sqrt(55))\/sqrt(11)).\nAnswer: 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(188\/(-48)))\/((-132)\/(-8))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98575 - -0.01425. Which is the closest to -51? (a) -1 (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359453.\nAnswer: 113, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95) + sqrt(95) + 2*sqrt(95)*-1)\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*u - 40, 0 = 2*g - 3*g - 3*u + 55. Let x be (-159)\/(-9) - (-2)\/6. Let p = x + g. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14)\/((-50)\/(-20)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4072093573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 40, 159, 328, 547, 816, 1135?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 611 - 610.999181. What is o rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 76 = -41*l + 42*l, x - 10 = 3*l. Calculate the highest common divisor of x and 6749.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.16786?\nAnswer: 0.050358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - d + 538 = 554, -d + 12 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12339 or 15849?\nAnswer: 15849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 - 180*k**4 + 1203*k**3 + 53226*k**2 - 111456*k - 163296 = 0. Calculate k.\nAnswer: -14, -1, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-5) - (-2)\/(-5). What is the third derivative of -2*a**5 - 4*a**2 + 5*a**5 - x*a**5 + a**2 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = 13, -r = -5*p + 126. Let g = 3 + 0. What is the remainder when p is divided by (0 - (-8)\/3)*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81664 and 11792?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*(-6)\/72.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192936367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5 - 4 = 0. Let g = -8 - a. Let x(v) = v**2 + 2. Let p(m) = -m**2 - 4 - 1 - m**2. Give g*x(q) - 2*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -25, -28, -35, -46, -61, -80?\n\"Answer: -2*u**2 + 7*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414311890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-3 - -4))*-95 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211102101 (base 3) in base 5?\nAnswer: -12133020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-4))*v)*v\/(v*(v*(v*v**(-4\/7)*v)\/v)\/v))\/((v\/((v*v**11*v)\/v))\/v*v**12))**(25\/3) assuming v is positive.\nAnswer: v**(-775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-42))\/h*h)\/(h\/(h**2*h*h)))\/(h**(-41))**(-23))**(-2\/7) assuming h is positive.\nAnswer: h**(1794\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416 + 419. Let z(u) be the second derivative of 1\/20*u**5 - 2*u + 1\/4*u**4 + 0 - u**d - 1\/2*u**2. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -368 + 869. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylgxrvx. Give prob of picking 1 y and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1382 + 741 = 11*r. Suppose r*c = 195*c - 6. Solve -9*a + 12*a + c = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 50 = -238. Calculate the remainder when 78 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {f: 1, p: 1, a: 1, x: 6}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180223599.\nAnswer: 3, 60074533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 + 126. List the prime factors of (-4096)\/o + -3 + 1.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 10, -198 = -2*d + 2*x + 130. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + 616\/40. Sort -1, 3, y in ascending order.\nAnswer: -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98)*-2 + -1 + sqrt(98) + -1)**2 + (-3*sqrt(216) + sqrt(216))\/((sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12))*4).\nAnswer: -1123*sqrt(2)\/8 + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154.663 + -154.6. Let r = 0.1 + -0.2. Is i at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1770470 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110000011110101011 (base 2) in base 10?\nAnswer: -4392875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2 + 2)*(6014*q**2 + 3602*q**2 - 2812*q**2) to the form b*q**2 + r*q + u*q**3 + i and give u.\nAnswer: -13608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 7*n - 28 + 26 + 3*n - 17*n. Let o(x) = 7*x + 3. Calculate 4*o(d) + 5*y(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306954468.00096 - -306908611. Let u = k - -45851. Let g = 6 + u. Round g to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 14*v**2 - 10*v**2)*(2*v - 2*v - 2*v)*(-2*v + v - v) - 44*v**4 - 25*v**4 + 81*v**4.\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57843, 57844, 57845?\nAnswer: 57846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3274 and 8?\nAnswer: 13096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-14)\/4. Let p = -0.04 - -0.04. Which is the closest to -1? (a) p (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 278*f**2 + 936*f - 91856. Calculate w(140).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 0*b = 6*r + 5*b + 2, -2*r - 14*b - 2218 = -2182 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 12. What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o + 16. Let y(c) = 7*c + 20. Let k(t) = -5*b(t) + 4*y(t). Let s(f) = -6*f + 1. What is k(s(p))?\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1711, -1828, -1945, -2062, -2179, -2296?\n\"Answer: -117*g - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65885 is divided by 8216?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/18)\/(s\/s**(-1\/2))*(s*s**(-7\/3)*s)\/(s\/(s\/(s\/(s**(-3\/4)*s)))) assuming s is positive.\nAnswer: s**(-91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 11, 2, 1, 14, 47, 106, 197?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**2 + 6*q**2 - 3 + 6*q**2 + 18*q. What are the prime factors of x(15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 4716760*g + 2780978112200.\nAnswer: 2*(g - 1179190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566343 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 = 60. Suppose -t = 2*z - 2*w, 4*z + 0*z - 5*w = -21. Let u(n) = n**2 + 7*n - 13. List the prime factors of u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73317805 and 19107?\nAnswer: 659860245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 320c + 4?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.5, -1\/7, 3\/7 in decreasing order.\nAnswer: 0.5, 3\/7, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*w + 5*i, -4 + 1 = -3*w + 3*i. Suppose -2*l + 0 = -w. What is the smallest common multiple of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 87. Let l(g) = -188*g - 66. Let w be l(k). Let c be w\/14 - (-15)\/(-35). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -4*z + 274. Suppose 4*v - 65 = 5*x, 5*x + 10 = 2*v - 15. Let g be -1 - -3 - v\/(-5). Is z not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 1 u when three letters picked without replacement from {r: 6, a: 1, u: 7, k: 6}?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7142 divided by -3571.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z*((z\/z**(2\/9))\/z*z)\/z)))**(-1\/2) assuming z is positive.\nAnswer: z**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-7) + 28860\/(-2590))*3\/((-9)\/7)?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -6 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(-4)*l)\/l)**(-2\/67))**5\/(l\/l**(1\/5)*l*l**(4\/11)*l)**(-4\/21) assuming l is positive.\nAnswer: l**(19394\/25795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84896 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*c**4 + 108*c**2 + 51*c**4 + 86*c - 108*c**2 + 79*c wrt c?\nAnswer: 2232*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10203500 (base 6) to base 12\nAnswer: 123590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 + 9*z + 9. Let m be s(-7). Let t(w) = w**3 + 5*w**2 - w + 5. Determine t(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41378, -1, -27 in ascending order.\nAnswer: -41378, -27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose -v*y = 4 - 0. List the prime factors of y\/10 - 66\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -322 + -30419?\nAnswer: -3073b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 5, -14, -37, -64, -95, -130?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735, -515, -297, -81?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:41 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**2 + 26*s - 26*s.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 331*u**2 - 78*u - 39*u + 663*u**2.\nAnswer: 994*u**2 - 117*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7411*w = 7348*w - 504 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/3 + 860423860*y\/3 + 92541152357162450\/3 = 0.\nAnswer: -215105965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2255.45ug to kilograms.\nAnswer: 0.00000225545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -820*t + 2695. Determine a(3).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 3, b: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13 + 7*w + (1 + 2 - 1)*(-1 + 1 + 2*w) + 0*w + 4*w - 2*w + 2*w - w + 1 + 0.\nAnswer: 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (2 + -6))\/((-1)\/(-1)). Suppose 24 = -9*y + 42. Put k, y, -2 in ascending order.\nAnswer: -2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, z: 8, i: 3, k: 2}. Give prob of picking 3 z and 1 v.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, -146*m + 3*p = -141*m - 14. Solve m*c - 1 = n - 2*n, -5*n + 5 = -3*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p - 3. Let c be (2 - (-3 - -2))*-1. Let h be j(c). Suppose 8*b - h = 4*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317 and 266914.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 0, k + 18 = -2*m - 35. Find the common denominator of 48\/k - 3\/6 and 23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(6\/13)*u*u**14*(u*u**5)**(-43))**(-1\/14) assuming u is positive.\nAnswer: u**(1570\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 18*j - 38 + 56 + 95, -53*j + 50*j = -18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*c = -222 + 615. Put -5, -2, 25, -10, c in descending order.\nAnswer: 25, -2, c, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2235 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 47*i**2 + 124 - 35*i**2 + 47*i**2.\nAnswer: 59*i**2 + 2*i + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -31. Let y = 4 + -1. Let g be (27\/(-4))\/(y\/(-8)). What is the greatest common factor of j and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 8*m - 10. Let p be o(7). Let f(b) = -20*b - 3. Suppose -2*g = 5*y - 76 + 22, 24 = y - 4*g. Calculate the remainder when f(p) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*5 + sqrt(187) + -6*(sqrt(187) + 2*sqrt(187) + sqrt(187) - sqrt(187)))\/(sqrt(1584) - (sqrt(1584) - -4*(sqrt(1584) - sqrt(1584)*-1))).\nAnswer: 7*sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:29 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -528 + 212. Let i = h + 316.304. Round i to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2238792.\nAnswer: 2, 3, 93283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/24*w**4 + 0*w + 82*w**2 + 0 + 4\/3*w**3. Determine f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -126747997748 and -39.\nAnswer: -126747997787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 20*m + 3. Let i = 86 - 66. Let d be v(i). Solve 15 = -3*o - 2*p, p - d*p - 5 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 106423?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 5*r. Let o = -12 + r. Let j be 942 - o - (-6)\/(-3). Round j to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -14.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.291 + -2071.191. What is r rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 0*s**2 + 0*s**2 - 1857608*s + 1857608*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11132\/1615 + -117\/17. Is f at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.9 - 2.1. Let r = -34.9791 - a. Round r to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-14)*4\/(-3). Let i be (4\/8)\/(111\/12). Let r = 33\/74 + i. Which is the closest to 1\/4? (a) n (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25453233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121)\/((-157905)\/348)*390\/(-24)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - -36227?\nAnswer: 36215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1250613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j**2 - 29*j**2 + j**2 + 4*j**2 + 3*j**2 - j**2 + (-j + 3*j - 3*j)*(-j + 0*j + 0*j) - j**2 + 5*j**2 - 3*j**2.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 14 - (-247 + 252) - -20.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1320, 1313, 1306, 1299, 1292?\n\"Answer: -7*x + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 - 301 = -89*f + 21*f + 128 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 2585704 = 66*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 16*o. Let i(c) = 170 - 150*c**2 - 170 + 147*c**2. Give p(i(x)).\nAnswer: -9*x**4 + 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/2)\/(j\/j**(3\/4))*(j**(1\/3))**(-1\/10))**(-7\/10))**37 assuming j is positive.\nAnswer: j**(-49987\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21227732.\nAnswer: 2, 149, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.35 minus 8660500.3?\nAnswer: -8660567.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6058, 22865, 50402, 88669, 137666, 197393?\n\"Answer: 5365*h**2 + 712*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 22. Let c be s(9). Sort c, -5, -4, 1 in descending order.\nAnswer: c, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16038 and 648.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 6*r + r - 4*r. Let s be h(-4). Which is the second biggest value? (a) s (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 33783258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31*a**3 - 29*a**2 - 17*a - 45. Let g(u) = -11*u**3 - 10*u**2 - 6*u - 15. Give -17*g(w) + 6*r(w).\nAnswer: w**3 - 4*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*t + 4 = -15, -5*s - t + 17 = 0. Let q be (2\/(-4))\/(7\/(-14)). Let w be (s + 0 - -4)*q. Solve -2*m + w + 0 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**8)\/g)\/g**23)\/((g\/g**25)\/g*g**(9\/2)))**25 assuming g is positive.\nAnswer: g**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 3133.\nAnswer: -6266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:20 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-206)\/(-4) - (-2)\/(-4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 155\/2. Let j = 3 - 4. What is the second biggest value in q, -3\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5, -0.5, 992?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**2 + y - 21. Let s be z(6). Calculate the highest common divisor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s + 1. Let p be t(-2). Let o = 188 - 192. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309423 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 4. Suppose -3*v = 5*v - 112. Calculate the lowest common multiple of j(3) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032121 * 13099\nAnswer: 420.752979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.654649 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -12. Let l(o) be the third derivative of -1\/420*o**6 - 1\/210*o**5 + 0*o**4 + 0 + 0*o**z + 0*o + o**2. Find d, given that l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/20 + 7*l**4\/12 - 2*l**3\/3 - 2*l**2 + 257*l. Suppose 5*s = -16 - 19. What is the least common multiple of a(s) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -34. Which is the second smallest value? (a) -3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62439 divided by 705\nAnswer: 20813\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 243, 1904, 6409, 15180, 29639, 51208?\n\"Answer: 237*l**3 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -2)**2 - sqrt(245)) + 0 - (-2 + -1*sqrt(245)).\nAnswer: -28*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 + 6 - 1 + 17*w**3 + 0.\nAnswer: -w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 789769 and 119.\nAnswer: 5528383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*h + 26*h + 265 + 266 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 0*z**2 + 0 + 1\/4*z**3.\nAnswer: z**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3 - -6 - -2. Let u be (2\/s)\/((-3)\/10). Let h = -198.65 - -194.65. Which is the closest to 1? (a) 4 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35*n + 8. Let r be u(-2). Let s = 151 - r. Suppose p + 28 - s = 0. Solve 4*v + 13 = 3*w + 5, -5*w = 5*v + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 - 20*r**2 - 28. Let g(i) = -28*i**3 - 41*i**2 - 55. Let l(p) = -6*g(p) + 13*o(p). Differentiate l(h) with respect to h.\nAnswer: -3*h**2 - 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 1609512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-200)*2\/10)\/((-15)\/48)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((24\/200)\/3). Calculate the highest common divisor of 475 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1898*f. Let t(q) = -9*q**2 + 100. Determine v(t(r)).\nAnswer: 17082*r**2 - 189800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 46285, -0.3, 30?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 - (0 - -2)). Suppose -y - 13 = -3*v. Suppose -v = -f - 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 9*i + 24. Let a be o(-11). Solve -a*q = -7*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376 - -102458?\nAnswer: 102845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 1. Let b(v) = -9*v**2 + 9*v - 9. Let p(x) = -b(x) + 9*f(x). Let h(c) = -2*c**2. Give h(p(u)).\nAnswer: -648*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5897\/6 + 182803\/186. Sort -3, -0.5, a, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, a, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.39, -0.4, -8\/3, -1.\nAnswer: -8\/3, -1, -0.4, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 342807439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12048 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times -0.1559?\nAnswer: 0.035857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 12 + 19)*(63 + 10 - 4 + 199)*(r**2 - r**2 + 3*r**2).\nAnswer: -8844*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -0.1. Let r = 73 + -73.2. Which is the closest to d? (a) -2\/7 (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*275046.\nAnswer: -2475414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 4 - (-5 + (sqrt(85)\/sqrt(5))**2).\nAnswer: -8 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/6)\/((-21)\/(-147)*(-14)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 2. Let h be r(4). Let z(f) = -2*f - 3. What is z(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.2 + -69. Which is the closest to -2\/9? (a) -4\/7 (b) s (c) -10 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.8 - 6.82. Let b = -1.020047 - a. Round b to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5180945 is divided by 1726980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 15*o**2 + 4*o - 247. Let p be v(14). Find the third derivative of 20*y**5 + 111*y**5 - 7 + 13*y**p + 19*y**2 + 2 wrt y.\nAnswer: 8640*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*c**3 - 8*c**2 - 8.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 6688.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -0. Let k(y) = y - 6. Let t be k(4). Let j be 0*t*f\/(-4). Solve -2 + 1 = -s, -2*l + 2*s - 12 = j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5\/17 - 18*c**4\/17 + 110*c**3\/17 + 282*c**2\/17 - 1908*c\/17 + 2160\/17 = 0.\nAnswer: -12, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 7*x + 4. Suppose -r + 1 = 8. Let s be l(r). Let t(z) be the first derivative of -z**4\/4 + z**3 + 2*z**2 - 3*z - 1. What is t(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11 + 266*l - 650*l + 10 - 721*l. Let h(k) = -4*k**2. Calculate h(j(b)).\nAnswer: -4884100*b**2 - 8840*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3511 - 7029 - 8*w**2 + 3518.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -q + 20*q + 216 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from jejeejjjjeejjeeejeje.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 3 - (-70 - -73)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022100 + -42?\nAnswer: 1022003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 15. Suppose -j*l + 23 = -4. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = -5*c. Suppose -5*y + 3*u = -2*u + 35, -5*y + c*u - 33 = 0. Let j(q) = -q**2 - 12*q - 2. What are the prime factors of j(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/28*50\/(-45)*6\/(-3)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230 - 228 - 51*a**2 - 881*a**4 - 19*a**2 - 1086*a**4 + 80*a**2 wrt a?\nAnswer: -47208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24383, 3, -2\/11 in increasing order.\nAnswer: -24383, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:20 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1408808 millimeters in micrometers?\nAnswer: 140.8808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 149*h + 170442 = 31*h. Solve -16*x = 1242 - h for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 + 4. Let c be o(6). Let r be ((-708)\/264)\/((-3)\/36). Let b = r + c. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -1, -5.\nAnswer: -5, -1, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52.5 + -52.3. Which is the biggest value? (a) 1 (b) 4.13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/((-3)\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**8\/3360 - j**7\/1260 - j**4\/4 - 3*j. Let c(t) be the third derivative of b(t). Factor c(w).\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/(-91))\/((-8)\/(-52)). Solve s*r - 13*r - 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 6*s + 1. Let d be -4*(-5)\/(-70)*-7. Let k(o) = o**2 + 5*o + 2. Let g(l) = d*a(l) - 3*k(l). Give g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -21.\nAnswer: 83\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + -2 + sqrt(612) + sqrt(17) + sqrt(17) + -6*(sqrt(612) - sqrt(17)) + -1.\nAnswer: -20*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 6. Let i be c(4). Let g be ((-1150)\/(-3))\/(i\/(-72)). Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, j: 2, u: 1, c: 1, y: 2}. What is prob of sequence kty?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -2\/9 (b) -3\/284 (c) -7 (d) -1\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(9)\/sqrt(3))**2*6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 5*j - 14, -11700*b + 11703*b - 22 = 5*j for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 40231\/4, 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 8. Let h(w) = -w - 1. Let n be 30\/20*6\/(-9). Give n*r(g) + 6*h(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-24))\/((-46)\/24 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 46*k - 66. Give j(7).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60775 is divided by 2637.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cub when three letters picked without replacement from {u: 1, e: 6, b: 1, y: 8, c: 1}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 43. Let v = y + 100.53. Let m = v - 0.41. Round m to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -117*k**2 + 8*k. Let l(b) = 106*b**2 - 9*b + 1. Give 3*l(d) + 2*n(d).\nAnswer: 84*d**2 - 11*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 20*y**2 + 65*y + 7. Determine u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/3 - 23036*c\/3 + 46060 = 0. Calculate c.\nAnswer: 6, 23030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061.9487 rounded to the nearest ten?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/3, 0.3, -39, -0.69?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*p = 20, 4*b + 4*p - 10 = 50. Let k be (b\/40 + (-19)\/(-4))\/1. Sort k, 1, 16 in ascending order.\nAnswer: 1, k, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/11 - 108*i**3\/11 + 342*i**2\/11 = 0 for i.\nAnswer: -57, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j - 75 = -5*v - 63*j, 0 = -2*j + j. Let u = 3 + 2. Suppose -5*l + 153 = -2*m + m, -3*m - 159 = -u*l. What is the least common multiple of v and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4\/7 + 52*a**3\/7 + 916*a**2\/7 + 6240*a\/7 + 14400\/7 = 0.\nAnswer: -20, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-105)\/14)*(-3)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42456.\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 not equal to 845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008479450.\nAnswer: 2, 5, 11, 61, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97334298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 195 + 30. Let c = l + -71. Suppose -3*p - z = 2*z - 12, 4 = 4*p - 2*z. Solve 0*k - k = 2*o + c, -2*k - 8 = p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 0 - (47 + 22)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*a - 2)*(3 - 3 + 1)*(14 + 21 - 12).\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 569*o - 1133. Let q be k(2). Solve -3*l = 0, 2*f - 12 = q*l - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41967 at least 23171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 39, -4 in ascending order.\nAnswer: -4, 39, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 9*t + 1. Let u be q(8). Suppose 0 = 16*b - 19*b + u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/18)\/((-3)\/18). Suppose n = 6*g - 25. Suppose 11*c - g*c - 234 = 0. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 212*s**7\/7 - 5*s**3 - 47*s - 885. Find the third derivative of j(f) wrt f.\nAnswer: 25440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*42\/980 - 2\/(-170)*(-4077)\/81?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2448) + -1*(1*sqrt(2448) - sqrt(2448))).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*t + 8*t. Let a = 40 + t. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.284 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v - 2*y - 62, y + 163 = -5*v. Let z = -6 - v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10225901 and 0.2.\nAnswer: 2045180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 3 - 6*a + 7*a as u*a + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 26*n**2 - 9*n**2 - 9 + 2 - 11*n**2 in the form x + b*n + l*n**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001143823 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -847*l + 703. Does 65 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4889 is divided by 556.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 20, -3*a + 8 = -2*s + a. Let f = -1 + 5. Suppose 0*k + k - 19 = -5*l, -2*l - 4*k + f = 0. Solve 5*o - z = -0*o - 3, l*o = -2*z + s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w + 487. Let u(v) = -5*v + 239. Determine -2*p(b) + 5*u(b).\nAnswer: b + 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppfffpfpfppfdffdfp. Give prob of sequence pf.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*b - 12, -16 = 4*b - 0*b - 2*d. Let z be (-10)\/b*(-6 - -4). Let m(o) = -o**3 - 5*o**2 - 2*o - 2. List the prime factors of m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 627*h**4 + 4333*h**3 - 22*h**2 - 1049*h - 21119.\nAnswer: 7524*h**2 + 25998*h - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1539) + 2 + 0 - (1*2*sqrt(1539) + 0))*1)**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 8*x + 41*x**3 + 8*x - 14*x - 38*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 6. Let u = 12 + -15. Let k be w(u). Let f be ((-32)\/(-6))\/(5\/90). Calculate the greatest common factor of f and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 + 11*n + 16*n - 34*n + 4*n. Let k(w) = -1. Let p = -43 - -44. Give p*j(z) - k(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 435, 628, 821, 1014?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/1*589\/2356.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*x**3 - 105*x**3 + 2414*x**3.\nAnswer: 2759*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-2 - (-3)\/(-3)). Solve o*k = -5*y + 22, k - 9 = -y - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = 5*y, 0 = -l - 101*y + 98*y + 5. Sort 0, 3, 19, -3, l in ascending order.\nAnswer: -3, 0, 3, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -32. Let c be (336\/(-98))\/(1\/k). What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 629*w**3 - 191*w**3 + 645*w**3.\nAnswer: 1083*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1065 (base 7) to base 6.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:38 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 27 - 22 - 78*q**2 - 2*q in the form n*q**2 + x*q + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -49321?\nAnswer: -1282346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170061a (base 11) to base 15.\nAnswer: -3c4260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 + 0*p**3)*(4 - 1 + 0) + p**3 - 28*p + 28*p.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.05, 7, 3, -344?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.33. Let q = -13.742 + 10.742. Are g and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -107*h**4\/2 + 7*h**3\/6 + 15*h**2\/2 + 1151*h. What is the second derivative of x(s) wrt s?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x + 5 - 3 - 3*x**2 + x**3 - 1 - 5. Does 29 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1593.987975 + 1594. What is u rounded to 4 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60470997 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 4:12 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*39\/(-7280))\/((-45)\/(-1150))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/188 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**3 + 1\/3*f**4 - 1\/3*f**2 - 1\/3*f + 0.\nAnswer: f*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1*(-5)\/15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3768*z**2 + 2537 - 2537 to v*z**2 + i*z + c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/3 - 113*m. Let b(d) = d + 32. Calculate y(b(h)).\nAnswer: 2*h + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8938 is divided by 497?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 2*x**3 - 4*x**3 + (-3 - 5 - 3)*(0 + 2 - 3)*(4 + 2 - 4)*(28*x - 10*x**3 - 28*x) in the form k*x + d + o*x**2 + q*x**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(3146)*-3)\/(5*sqrt(4)\/(sqrt(128)*-2)).\nAnswer: -2112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.379 and 635392364?\nAnswer: 635392365.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4613.444 litres?\nAnswer: 4613444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 930641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 295, 423, 535, 625?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:17 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -1\/3*s**3 - 2 - 7*s + 9\/2*s**2. Determine l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxv when three letters picked without replacement from vxvvvvvvvvvxvvvvvv?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2737467*g**3*t - 8*g**3 - 2285*g**2 - 2426*t wrt g?\nAnswer: -16424802*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 19792, 5, 0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*o - 2987 = 1641 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3560334?\nAnswer: 2, 3, 19, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 11)*(0*x - 3*x + 4*x)*(4 - 2 - 5).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**3 - 11*m**2 - 5*m + 14. Let q be b(-5). Suppose -5*v = -n - q - 167066, -2*n = 3*v - 100623. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33406 and 14?\nAnswer: 233842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14982*x + 71467 - 71467.\nAnswer: -14982*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 61*a - 364. What is t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, 15.\nAnswer: -15, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-8)*(-24)\/9. What is the second derivative of -a + 3 - 3*a**o - 1 - 2 wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 7*k**2 + 13*k + 158. What is q(9)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1425, -1347, -1291, -1269, -1293, -1375, -1527?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/8 - 10*l**3 - 117*l**2\/4 - 29*l + 243. Factor p(d).\nAnswer: -(d + 1)**2*(d + 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-8))\/((-2)\/(-4)*15)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -693 - 127. Suppose 4*w + y + r = 863, 2*y - 6 = 0. Let v = w + -53. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-357)\/(-17) - (2 + -1). What is the highest common factor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 110.21?\nAnswer: 551.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*q - 288 + 851 - 403. Let o(b) = -4*b**3 - 2 + 3*b**3 + b**2 + 7. Let t be o(0). Solve 0 = -5*y - 2*a - q, -3*y - t*a = -9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-66))\/((24\/(-6))\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -6 - -3 - (1 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 + w + 2. Let v be t(-2). Suppose g + 3*z = 22, 121 = 7*g - 2*g + 4*z. Suppose v = -f + g. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36 + 0)*(-4)\/3. Let h be (-32)\/(-80)*5*(7 + -1). Calculate the highest common divisor of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 1. Let k be p(2). Does 26 divide k*1 + 2 + 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -922*k**2 + 4*k + 5. Let y be f(3). Let s = -4916 - y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*y + 3, 11 = -5*y - 4. Suppose 3*u - 8 = 4*u - 3*l, 2*u - 3*l + 4 = 0. Is u >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35686 + -1?\nAnswer: -35687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62079276*h*y**3 - h*y**2 + 120856*y**3 - 191 wrt h?\nAnswer: -62079276*y**3 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) - sqrt(500)) + -1 + sqrt(180).\nAnswer: -24*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 19. Let h(l) = -5*l**3 - 16*l**2 - 16*l. Let r(z) = z**3 + 3*z**2 + 3*z. Let c be (-5)\/15 + 10\/(-6). Give c*h(o) + y*r(o).\nAnswer: -o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose 0 = -4*m + 20 - c. Solve -m*h - 7 = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79504 + 79504. Suppose -1\/2*n**4 + 1\/4*n**3 + 1\/2*n**2 - 1\/4*n**5 + r + 0*n = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i + 60 = 4*o, 6 = -3*o. Let r = 409 - 392. What is the highest common factor of r and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41283460 divided by 4\nAnswer: -10320865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (1 - 3 - (-1 + -1)). Let x(a) = -7*a + 12. Let c(k) = -4*k + 6. Let q(t) = -5*c(t) + 3*x(t). Determine q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/707 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**2 + 9*t**3 - 168875 + 2*t**4 + 168875 to the form u*t + x*t**3 + o*t**2 + d + s*t**4 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1671692\nAnswer: 1671691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -428, -1724, -3882, -6902?\n\"Answer: -431*v**2 - 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/6)\/(2\/(-3)). Suppose 4*p + m*l - 95 - 45 = 0, -4*p + 100 = -4*l. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:46 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}