diff --git "a/data/dm_maths/full_data/1225_11255.jsonl" "b/data/dm_maths/full_data/1225_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1225_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(c) = 2*c**4 - 2*c**3 - c**2 + c. Let s(b) = -3*b**4 - 225*b**3 + 217*b**2 - b. Let y(q) = d(q) + s(q). What is the third derivative of y(x) wrt x?\nAnswer: -24*x - 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021784299 rounded to 5 decimal places?\nAnswer: 0.02178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3052826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (945 - 991) + (-4 + 34 - 4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 9. Let a be u(7). Suppose -3*j - 12 = -4*j + 5*i, a = -j - 2*i. Suppose -2*b - k = 3 - 115, j*k - 278 = -5*b. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 243 - 129*b.\nAnswer: -129*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/669522 and 163\/916188.\nAnswer: 17407572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.9 + 19. Let v = 0.7 - o. Put 1, 5\/4, v in ascending order.\nAnswer: v, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*n + 228 = -m, 3*m - 85 = -5*n. Calculate the least common multiple of m and 376.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -4*j, 0 = -4*q + 5*j + 489. Suppose -3*u - 71 = -q. Solve l + u = 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -37, -0.5, -29\/5 in decreasing order.\nAnswer: 6, -0.5, -29\/5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.1010451 to the nearest integer.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**3 + 3*i**2 + 9. Let q(b) = -3 + 69083*b**2 + 0 + 3*b**3 - 69084*b**2. Let p(u) = -4*j(u) - 11*q(u). Determine p(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2737176*o = 2737173*o + 4*x + 14, -14 = -5*o + 2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208111063 to the power of 1\/2, to the nearest integer?\nAnswer: 46991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4869, 9661, 14295, 18693, 22777?\nAnswer: 26469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 874292 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 1\/4, -0.2, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -575136 (base 14) to base 11\nAnswer: -174a9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - r)*(-3*r**2 - 2*r**2 + 10*r**2) - 4*r**2 + 4*r**2 + r**3 - r**3 + 2*r**3 - 3*r**3 + 3*r**3 - 3*r**3 - r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 0*w + 4*w - 4*w - 3. Suppose -2*o - 2 = 2*o - 2*c, -2*c - 10 = 2*o. What is q(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*g + 143*g - 428*g to the form z + l*g and give l.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 4*h**5\/5 - 5*h**3\/3 + 4. What is the third derivative of d(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i - 4. Let t(z) = z**2 - z - 4. Let o be 5 + -3 + -3 + 3. Let a(l) = o*s(l) - 3*t(l). Let g be 4\/6 + (-12)\/18. Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3 - 2 - 3 + 3 - 1 + 2 + 0 + (2 - 2 - 1)*(1 - 2 + 0) + 5 - 2 - 2 + (0 - 3 + 1)*(-2 + 1 + 2) - 3 + 5 - 3 - 2 + 3 - 3)*(904*k - 1012*k + 873*k).\nAnswer: -3825*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34254 and 345378.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3 and -123\/6410.\nAnswer: 19230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 130 - 15*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -786*o + 49065?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.381619 and -118009.\nAnswer: -118028.381619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 - 16*h**3*u**3 - h**2*u + 8*h*u**3 - 12*h*u wrt h.\nAnswer: -12*h**2 - 96*h*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775078, -775141, -775246, -775393, -775582, -775813, -776086?\nAnswer: -776401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 891, -4, 1.1, 0, -100?\nAnswer: 891","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4*z + 5*z)*(4 - 5 - 1) - z - 3*z + 5*z + 4*z - 5*z + 0*z - 2*z + 5*z - z - 8*z - 4 + 0 + 7*z.\nAnswer: -3*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 6, y: 1, h: 3, q: 2, r: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (521\/(154737\/(-891)))\/(-6*(-11)\/(-2)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0*t**2 - 1\/10*t**6 - 3 + 3\/20*t**5 + 1\/4*t**4 - 6*t + 0*t**3 - 1\/14*t**7. Find c such that p(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1330 - 1328. Factor 0*b + 2\/5*b**y - 2\/5*b**3 + 0.\nAnswer: -2*b**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*154\/99?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)*h**(13\/6) assuming h is positive.\nAnswer: h**(53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-1)\/(-5))\/(9\/(-15)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/4)\/(4\/2). Let o(k) = k + 6*k - k**2 + 11 + 0*k**2. Let j be o(n). Solve h = -j*t - 8, -2*h + 5*t - 4 = 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3152995.\nAnswer: 5, 47, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*m = 2, a + 5*m - 6 = 3*a. Let j be 138\/24 - a\/(-8). Calculate the greatest common divisor of 48 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411546564 to the nearest integer?\nAnswer: 20287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*f + i - 101, -2*f + 66 = 2*i. Suppose -42*u - 1873 = -361. What is the units digit of (f + u)*2*(-61)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**7\/105 + q**6\/60 - q**5\/15 + q**2\/2 + 10. Let g(t) be the second derivative of n(t). Factor g(z).\nAnswer: 2*z**2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 217376*n + 1087632. Give r(-5).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.63159 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 74*l - 337. What is j(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181268 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, -4, -32, 0, 0.1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1961 and -87\/212.\nAnswer: 7844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 4 + 4*3\/6. Let g(l) = -8*l + 2. Determine g(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 1\/135*k**6 + 1\/90*k**5 - 1\/189*k**7 + k + 0*k**2 - 13 - 1\/54*k**4 + 0*k**3. Determine s, given that t(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212011020101 (base 3) to base 4\nAnswer: 3301001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*i**4\/3 + 355*i**3\/3 + 65*i**2 - 525*i + 90 = 0. Calculate i.\nAnswer: -2, 3\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. What is the tens digit of s\/(16\/116) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843.8313 nanograms to kilograms.\nAnswer: 0.0000000008438313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/24 in -10, 2\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1179738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -2 - (-3 - (-8 + 7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 14. Let k be y(12). List the prime factors of k\/8*10*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 6*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -6 (b) -3 (c) 20 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*r = 23, -7 = -2*h + 4*r + 3. Suppose -9*w = 2*w - h*w. Solve -2*j = -3*y, 7*j - 2*j + 3*y + 21 = w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*q = 14, 4*c + 2*q + 16 = -2*q. Let v(h) = 8*h**2 - 1. Give v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/11)\/((-5421)\/4587)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 18318*p + 128373.\nAnswer: -3*(p - 7)*(p + 6113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1352 divided by -3\nAnswer: 1352\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 344037.7 meters?\nAnswer: 344037700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 18. Calculate the remainder when w is divided by 0 - (-4 + 0\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40777\/621191 + -4\/4469. Is 0.2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/7)\/p)*p\/(p\/(p\/p**(-6))))\/(p\/p**(-1\/3))**(-29))**(-25) assuming p is positive.\nAnswer: p**(-24950\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31021132220 (base 4) in base 2?\nAnswer: 1101001001011110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -579*r + 46. Let d be l(14). What is the hundreds digit of (-23)\/(299\/d) + 1*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300101010 (base 5) to base 12.\nAnswer: 488076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313983 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 1812. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + 4*g**2 + 10 - g**3 - 11*g + 3*g - 8 - g**2 to q + d*g + i*g**3 + s*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 35. Calculate the remainder when 6 is divided by 6\/(-27) + i\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -26) + -1 - ((12 - 34) + 10 + 24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-5)\/(-2)*40\/200)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 4*z + 2. Let f(g) = -g**2 - g + 1. What is -6*f(b) - l(b)?\nAnswer: b**2 + 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**19*h)\/h)\/h**(-3)*h*h\/(h\/(h*h**(-13\/4)))*h**(-1\/2)\/h assuming h is positive.\nAnswer: h**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 318464 or 318453?\nAnswer: 318464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13\/53 - -144\/371. Which is the closest to 0? (a) 0 (b) -3 (c) -0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + sqrt(24) + sqrt(24))*-6)\/sqrt(8).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 232, 533, 954, 1495?\nAnswer: 2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17068878 and 99818?\nAnswer: 17068878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aglfagffdg. Give prob of picking 2 g, 1 l, and 1 f.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 8*s**2 + 19*s + 9. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74991, -142096, -209201, -276306?\nAnswer: -343411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and 139\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363874 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 34 + -11 + 5 - 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 480, 13 in descending order.\nAnswer: 480, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2191, 2188, 2183, 2176, 2167, 2156?\nAnswer: 2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -24*r. Let q(s) = s**2 - 1. Calculate q(c(t)).\nAnswer: 576*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5)\/2)\/((-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))\/k**(-8)*(k*k**(-2\/7))**(-2\/19))**(-29) assuming k is positive.\nAnswer: k**(-30566\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 11. Suppose 816 = 10*s - t*s. Suppose -g + s = -5*r, 0*g = g + r - 174. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 294*d**4 - 3639*d wrt d.\nAnswer: 20*d**3 - 3528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let b(l) = 3*l. Suppose 0 = -2*a - 3*y + 2, 2*a + 3*y - 2*y + 2 = 0. Let k(g) = a*b(g) + 7*j(g). Let w(n) = -3*n. What is k(w(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1021140 and 1021140?\nAnswer: 1021140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -91. Sort a, 4, 0 in decreasing order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 4*o + 21 = 0, 12 = 3*o. Let q(b) = -b**3 - 6*b**2 - b - 5. Let s = 16 - 10. Let g(x) = x**2 + 1. Give l*q(n) + s*g(n).\nAnswer: -n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 482+-8\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v - 1. Let g(z) = z + 3*z - 5*z. Let r be g(-1). List the prime factors of t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 9 - 2)*(-4*i + 2*i + 1 - 3) + 4*i + i - 3*i + (-5*i - 2*i + 5*i)*(-1 + 1 - 1).\nAnswer: -42*i - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.14 times -8.2\nAnswer: -25.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25755459 to the power of 1\/2, to the nearest integer?\nAnswer: 5075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -126?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)\/sqrt(2))\/(sqrt(396) + -2*sqrt(396) - sqrt(396)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451449 + -451448.712199. Let o = 0.288 - v. Round o to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1265 + 1270. Let l(r) = r**3 + 5*r**2 + 3*r - 9. Let t(g) = g**3 + 3*g**2 + 2*g - 5. Calculate f*t(b) - 3*l(b).\nAnswer: 2*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/13 - 14*a**3\/13 - 22*a**2\/13 - 10*a\/13 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -4\/9 (c) 1\/4 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14809\/(-38442)*1 + 1\/3. Let m = -6\/149 - u. Is m greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233 + 110?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:11 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4136348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**9\/252 - n**5\/60 - 6*n**2. What is the third derivative of y(m) wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4293*h + 4293*h + 1033*h**2.\nAnswer: 1033*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j + 1267. What is u(-62)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -2 + (-4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 8. Let a be n(-6). Let r be (12\/5 - 2) + (-68)\/20 + 7. Solve -a = -4*u - 4*m, -2*u - 2*m = u - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2208052 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:01 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexe when four letters picked without replacement from wetmmecetwxcexweex?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 130352\/(-50687) + 2 + (-20)\/(-35). Let x = -166567\/86892 - v. What is the third biggest value in -2, 0.2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 218337.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0349713 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -68*r - 3. Determine k(-3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d**2 + 2*d + 10. Let n be v(-5). Solve 18*i + n = -0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*g - 2 = -1211*g + 2*i, 4*i = 3*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104460 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.62 times 0.5\nAnswer: 4.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*l**5 + 114*l**3 - 114*l**3 + (-2*l**4 + 4*l**4 - 3*l**4)*(-3*l - 4*l + 6*l).\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 687458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2072, -2041, -2004, -1961, -1912, -1857?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56352)\/600*(-10)\/204. Let c = h - 76\/17. Let d = 0.27 - -0.03. Sort d, c, 0.4 in descending order.\nAnswer: 0.4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 - 122 - 13*c to n + w*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i - 38*i = 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + 36. Suppose 0 = f + 4*h - 8, 4*h + v - 1 = 4*f. Let r be (-94)\/(-4) - 3\/(-6). Calculate the highest common divisor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(496\/(-1612))\/((-18)\/39)*(-3)\/519\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21000000 (base 3) to base 7\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1) + -4)\/(-1). Suppose 3*r = -z*t - 10, -2*r - 3*t - 8 = -r. Calculate the common denominator of -3 + (-10)\/(-16) + r and 36\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -42*b**2 + 58*b**2 - 4*b**2 + 61*b**2 + 4 + 9*b**2. Let w(k) = -6*k**2. Determine w(m(q)).\nAnswer: -40344*q**4 - 3936*q**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25054 < 25059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b + 2. Let n be q(3). Let w(c) = c**2 + 12*c + 1. Let z = -29 - -17. Let l be w(z). Sort n, l, 2 in descending order.\nAnswer: 2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = w - 4*h, w + 5*h - 7 = 0. Calculate the greatest common divisor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -a - 8 + 23, 2*a = p - 15. Solve 3*l - 7 = -2*c + 6*c, -p*c - 23 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -49610.\nAnswer: -49609.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 + 0*h**3)*(-h**2 - 3 + 3)*(208 + 137 - 536).\nAnswer: -191*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1530 and 1525920.\nAnswer: 4577760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -2*r + r**3 + 0 + 1\/12*r**4 - 3*r**2. Let t(m) = -m**2 - 7*m + 7. Calculate -7*l(i) - 6*t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1093949590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/51? (a) -0.05 (b) 2 (c) 1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)\/a)**(-33)*a\/((a\/(a*(a*(a**(-1)*a)\/a)\/a))\/a)*a**(1\/2) assuming a is positive.\nAnswer: a**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 23 + 5. Solve 16 = 5*o - d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4533, -11169, -17805, -24441?\nAnswer: -31077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-4)\/15)\/((-4)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214573 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*a + v - 28, 4*a - 26 = -5*v. Which is smaller: a or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 75*q**2 + 3582*q - 138624. Let b(v) = -9*v**2 - 448*v + 17328. Let h(k) = -4*a(k) - 33*b(k). Factor h(p).\nAnswer: -3*(p - 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-133))\/(28608\/912)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.7775 millimeters to kilometers.\nAnswer: 0.0005457775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10)\/(-4)*(-18)\/(-72)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13809 in 156, -0.1, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 312\/13*(-3)\/(-12). Calculate the greatest common factor of 1746 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -14 + 8 + 0 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8178, -11685, -21196, -39711, -70230, -115753?\nAnswer: -179280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22053, 22070, 22087, 22104?\n\"Answer: 17*f + 22036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8073080*o - 315 = -8073017*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-9 - 0 - (-28 - -22))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + 38*j. What is b(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 205*m + 53714. Let u be n(-262). Let s = -604\/7 - -86. Which is the nearest to 4\/3? (a) u (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdkw when four letters picked without replacement from ksdwdsawdssdddddd?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 - -0.21. What is the nearest to -0.2 in n, -4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**6\/20 + l**5\/30 - l**3\/6 - l**2 + 2*l. Let b(a) be the first derivative of i(a). Suppose -2*n = -n - 1. Calculate b(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12188\/3050 - 1) + 9717\/(-3239). Are -1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 4*x**2 + x - 2. Let z be w(4). Let k(q) = z - 1 - 3 + 1 + 2*q. Calculate k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41670 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -11766.\nAnswer: 11766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvrvqqx. What is prob of picking 1 x and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y**2 - 6*y**2 - 4*y**2 - 5*y**2 + 2*y. Suppose 0*z = z + 4. Let n = -9 - z. Let l(f) = -2*f**2 + 2*f. What is n*l(g) + 6*j(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/3, 14\/9, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 67 + 47. Let x be 1*(-3)\/m*-6. Solve 7*h = x*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7*l = 0. What is the units digit of 202\/(-2*(-1 + l))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17161.5124804706 and -0.5?\nAnswer: 17162.0124804706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18949 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000739344 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 7. Let i be (-120)\/(-32) - l\/8. Solve -5*h + 5*c = 0, 5*c + i = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.7 + -100.1. What is the smallest value in -1, 0.05, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 460249343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241169065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 - 4*w - 18. Let d(b) = 4*b - 4. Let r be d(0). What is the tens digit of g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43706 + -43677.9984. Let f = -28 + g. What is f rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**5*x - 4*n**5 - 279*n**2*x + 4*n*x - 58*n - 5*x - 10 wrt n.\nAnswer: 100*n**3*x - 80*n**3 - 558*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*x - 13. Let p(v) be the third derivative of 0*v + 0*v**3 + 2*v**2 - 1\/12*v**x + 0. Let k(f) = -4*f**2. What is k(p(i))?\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21*-2013\nAnswer: 42273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 51 - 53 + 12 + 3*h**2.\nAnswer: 3*h**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 60?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pallmlmplqplallil. What is prob of sequence ll?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/57 <= 157\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 - -9.8. Let g = 225.9548 + -237.954888. Let t = m + g. Round t to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = -2*q, 5*g + 2*q + 8 = -0. Suppose g = -4*c + 8. Let t = c - -8. Calculate the remainder when 28 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2216029*c - 2216029*c - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3936.745l?\nAnswer: 3936745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082073 to 5 dps.\nAnswer: -0.00821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = -24*a + 85 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*c**3 + 1133*c**3 - c**2 - 374*c**3 - 374*c**3.\nAnswer: 11*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) 778 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 10*d. Let a be p(8). Let z = -1 + a. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -966.58?\nAnswer: -3866.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -40*m**2 + 79*m**2 - 41*m**2. Let x(v) = v + 1. Let n(c) = -2*c**2 - 14*c - 14. Let k(j) = 2*n(j) + 28*x(j). Give k(p(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5201.78956 to the nearest integer.\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48186899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:26 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/35)\/(10\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 134*z + 1838. Give j(79).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m - 2*m)*(m + m - m)*(40 + 3*m - 40).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w + 23. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214188 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 1\/2. Let l be 0 - (1 - 0 - -51). Let j be 7\/35 - l\/(-10). Which is the biggest value? (a) j (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437354\/89 - -4914. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*w = 14, 3*x - w + 9 = -5*w. Let v = 1 + x. Let s(k) = -k**3 - 4*k**2 - 5*k - 3. Let b be s(-3). Calculate the greatest common divisor of b and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 106080*p + 1406620800.\nAnswer: 2*(p - 26520)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*-3*4\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 - (-187)\/(-7). Let b = 48 + v. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 9)*(0*t - 2*t - 4*t) in the form y + z*t and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 6*p)*(32 + 244*p - 208*p + 53*p) + (-2*p - 2*p + 2*p)*(3*p + 3*p - 4*p).\nAnswer: 352*p**2 + 128*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18207 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.5 rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 460*v**2 - 4262*v - 9560.\nAnswer: 2*(v - 239)*(v + 4)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043 + ((-11)\/(-7 + 6) - 6)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(6\/(-173)) + 9\/6. Let w = f - -112. Calculate the remainder when 107 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69233614 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980 divided by 165?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + 30\/7. Let y = -24 + 24. Sort y, u, 2 in decreasing order.\nAnswer: u, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 times 566?\nAnswer: 143198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15933499 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynn when three letters picked without replacement from ynooono?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 0.5, 8, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Suppose -5*v - 2*s = 0, 3*s = v + v + 19. Let p be ((-1)\/1)\/(v\/4). Let r(c) = 0*c**2 - 2*c + p*c + c**2. Determine w(r(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 4*w**2 + 227 - 454 - 2*w**4 + w**3 + 224 as n*w + g*w**4 + r*w**2 + h + t*w**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 3*k**3 - 2*k**3 - 1 + k**3 + 1 + (3*k**2 + k - k)*(5*k - 3*k - 4*k) to the form q*k + w*k**2 + l*k**3 + d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v - 6. What is the smallest common multiple of f(7) and ((-2)\/(-24) - 6072\/1584)\/(2\/(-8))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 186 = -2*k. Suppose 2*d - 4*c = k, -225 = -2*d + 3*c - 37. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14241 + 13?\nAnswer: -14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 45*z**2 - z. Let o be l(1). Let x = o + -26. What is the remainder when 34 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/9 + 451953716*t\/9 + 25532770175776082\/9 = 0 for t.\nAnswer: -112988429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let r be ((-9)\/(-6))\/((-1)\/(-2)). Let s(k) = r*k - 5*k + k. Give h(s(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/32256665 and -13\/1071650.\nAnswer: 322566650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4216 + 4*m**2 + 4216.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 4, j: 1}. What is prob of sequence zjzw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3464 = 428*x + 2437 - 7961 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 19 - (-102 + 94).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -1, -9.\nAnswer: -9, -1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 7372572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80851420801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 517 or 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddydydydddy. Give prob of sequence ddd.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - 40 = 0. Let k be (3 - 1) + (x - 0). Let c(p) = 2*p + 8. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -9 + 4 + -4 + 3 + 0.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d. Let w(l) = 13*l. Let x(b) = 9*k(b) - 2*w(b). Let o(s) = -s**2. Calculate x(o(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100202202102 (base 3) to base 2\nAnswer: -101110111100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 443 = 5*m. Let z = 174 - m. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4910.6 + -4888.657. What is n rounded to 1 decimal place?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87040531\/242284 - 1\/60571. Let q = 360 - s. Let o = -152\/3 + 50. Put 3\/11, q, o in descending order.\nAnswer: q, 3\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3\/(-9) + (-6238)\/(-2 + 2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/4)\/u)**(-1\/3)*(u\/((u*u*u**0)\/u))**(-6))\/((u**(-3)\/((u*u**0)\/u))\/(u**(-5)*u*u**(-3))) assuming u is positive.\nAnswer: u**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -1\/5 (c) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 32 = -0. Let y = -3 + d. Suppose -37 = -4*t + y*h, -2*h = -t + h + 18. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 14*p - 2*l - 2338 = 0, 2*l + 3504 = 3*p. Calculate the highest common divisor of p and 424.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 20. Let s be 102\/9 - q\/(-15). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(14\/(-42)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22775 + -10208. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/(-94))\/(6\/16).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/11 and -71\/4683.\nAnswer: 51513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.82 - 22. Let i = c + -0.67. Round i to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*r - 8 = -9*z, 5*z - 16 = -4*r. Suppose 2*d - 3 - 1 = z. Suppose -2*j + 26 = -d*m - m, -4*j = 2*m - 84. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Let n(h) = 23*h**2 + 8*h. Let b(o) = 8*o**2 + 3*o. Let w be -2*4\/(-2)*(-2 + 0). Let c(d) = w*b(d) + 3*n(d). Calculate c(f(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*v - 17 = o - 1572*v + 5, -560 = 2*o - 96*v for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 103*j**4 - 17*j**3 - 67*j**2 - 13*j. Let n(f) = -514*f**4 + 86*f**3 + 334*f**2 + 66*f. Let p(k) = 14*l(k) + 3*n(k). What is d in p(d) = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 571*g - 7004. What is p(12)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(5\/1 + -2). Let l = 1 - m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6414232.89 rounded to the nearest 1000?\nAnswer: 6414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -479 * 3\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*g = 889*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 6*t - 5. What is c(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 + 2*u**2 - u. Give m(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575802?\nAnswer: 2, 3, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:37 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 584*z - 2471. Let y be n(4). Which is smaller: y or -120?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4971 = -4*n + 3*b, -5*n - 2*b + 3707 = -2*n. List the prime factors of n.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:07 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 5*k, -1 = -k + 3*j - 13. Let c(p) = -p + 6. Let h be c(6). Solve h = -k*f - f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*-3 - 0. Let y be -4 + (23 - 22)\/((-4)\/(-18)). Sort y, 4, q in descending order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -1\/12*k**4 + 0 - 3\/2*k**3 + 7\/2*k**2 - 7*k. What are the prime factors of p(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16*f*f)\/(f**(-14)\/f) assuming f is positive.\nAnswer: f**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/56493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-3))\/p)**(2\/5))**49\/((p**0)**(-1\/15)\/(p\/p**(-1\/2))**(28\/5)) assuming p is positive.\nAnswer: p**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 6, n: 4}. What is prob of picking 1 n and 3 z?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 + -1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w - w. Suppose -n + w = -0*n. Factor -2\/5*x**3 + 0*x**n + 0*x - 4\/5*x**4 + 0 - 2\/5*x**5.\nAnswer: -2*x**3*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1428*r**2 - 8084*r?\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 445 + -443. Suppose -r + 6 = -z*m + 5, 6 = -2*r. What is the third smallest value in 3, m, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*t + 72106, -5*t - 4*m = -9*m - 72115. What are the prime factors of t?\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -767*k + 4469. What is d(6)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 27 - 683*j**2 + 518*j**2 - 2*j - 25*j. Is z(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. Let u = 16 - 14. Let w(q) = -q + 6. Let i(r) = u*g(r) - w(r). What is i(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26319 minus 4596.2?\nAnswer: -30915.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -10 + 0 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120222100100 (base 3) to base 7\nAnswer: 2446524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/17 + 6614*x**2\/17 - 6612*x\/17 = 0 for x.\nAnswer: -58, 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*x = 354*x + 2538 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:01 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 26*v + 7. Let r be c(27). What is the common denominator of (-106)\/8 + (1 - 2) and (-10)\/15 + r*3\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrlx when four letters picked without replacement from mmxxlrnv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 7, l: 3, r: 6}. What is prob of picking 1 p, 1 r, and 2 l?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 2. Let n be i(1). Suppose -5 = n*u - 8. Does 20 divide u\/2 + (-730)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n + 2. Let o be s(0). Suppose 5*j = o*j + 21. Suppose 5*k = 2*q - 108, -j*k + 3*k + 208 = 3*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*f + 100*f + 115. Suppose 26*r = f*r + 3291. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/7))\/b)\/b**0)\/(b*b\/b**(-2\/7))**(-2\/7) assuming b is positive.\nAnswer: b**(25\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -7. Let y = -2 - i. Which is the biggest value? (a) 0.2 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4*(-9)\/((-135)\/(-10))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + -19 + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 1.073?\nAnswer: 1.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1068, -1675, -2286, -2901, -3520?\nAnswer: -4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txctqdqqntqttxt. Give prob of sequence xntd.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.54 and 1328?\nAnswer: 1327.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254898 and 2520.\nAnswer: 5097960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0939 + 20.3661. What is x rounded to one dp?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 divided by -171?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5549 * 342\nAnswer: 189.7758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*d - 246 = 66*d. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16251\/4610 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5385334724 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*t - 55*t - 47*t - 30 to the form m + h*t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31004 and 11049556?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c + 22. Let q be c + 1 - 2 - 2. Is 2\/29 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002122220 (base 3) to base 15.\nAnswer: -6619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x. Suppose -3*v + 5*v - 16 = x. Let b(t) = t + 4. Let n be b(v). What is the highest common factor of 96 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 5*c + 4. Let a = c - 7. Let h(u) = 82*u**2 + 2*u + 7. Is h(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, 2, 0.64?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 6*m**2 - m - 3. Let w(f) = 6*f**3 + 7*f**2 - f - 4. Calculate -5*t(s) + 4*w(s).\nAnswer: -s**3 - 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 171 = -4*o + 225, 2*y - 5*o = -67 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.12 (c) 1 (d) -31 (e) 1\/2 (f) 0.3 (g) -36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.6 in -2, 2, -3, -1\/11, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**4 + h**3 + h**2 + h. Let p(v) = 920*v**4 + 4*v**3 - 2016*v**2 + 4*v. Let r(z) = p(z) - 4*x(z). Find the third derivative of r(t) wrt t.\nAnswer: 21888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1 + sqrt(91) + sqrt(91))\/sqrt(7)*-3 - (-2*sqrt(1053)*-6)**2.\nAnswer: -151632 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -455 + 127 + 155 - 3*l - l**3 + 149 - 17*l**2. Let d be -17 + (3 - 2) + -1. What is the remainder when 63 is divided by o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouku when four letters picked without replacement from uunoouuuuukuu?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + (sqrt(152)*2 - sqrt(152)) + sqrt(152))*5)\/(sqrt(72)\/sqrt(36)) + -2*(-1 + ((-2*sqrt(171) + sqrt(171))**2 - sqrt(171))))*-5.\nAnswer: -180*sqrt(19) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 1 - (-2138 + 2188)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000697047 to seven decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and -0.10936?\nAnswer: 20.55968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 24*o - 23. Calculate n(-10).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 22. Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 224*k - 1865. Determine y(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-129)\/(-9030))\/(1\/2)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-108)\/5)\/(-4) + (-28)\/70. Suppose 3*k + o = -l + 13, 5*l - 8 = k. Solve 0 = 5*n + 2*u + 11, 2*n - 2*u = 4*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -86?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22907721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 86161296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c**4 + 0*c + 0 - 1\/60*c**5 - 7*c**2 + 0*c**3. Let u(s) = 3*s - 3*s + s**2. Determine u(i(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61698428 rounded to the nearest one hundred thousand?\nAnswer: 61700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 539 = 5*t, 3*h = -5*t + h + 563. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 1\/6, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/6, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5687 and 42911?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3511 - -4738. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -26*i**3 + 1232*i**2 + 767*i + 43. Calculate n(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*b*p**3 + 11*b*p**2 - 1445*p**3 + 35252*p**2 wrt p?\nAnswer: 1116*b - 8670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 - 2*y - 11. Suppose -t = 4*x + t - 42, -36 = -3*x - 3*t. Give h(x).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - -10. Calculate the remainder when j is divided by (5 + -6)\/(4\/(-32)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 10*f - 7. Let m be k(-9). Suppose m*l - 792 = -218. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.443 - 3.443. What is the closest to -0.2 in 5, 5\/3, 9, a?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62674, -63928, -65172, -66400, -67606, -68784, -69928, -71032?\nAnswer: -72090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/5472 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 6*c + 20. Let n be k(-8). Solve 0 - 1\/5*r**3 + 1\/5*r**n + 0*r + 0*r**2 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 10:23 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268200953 a multiple of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 17*q**2 + 9*q + 7. Let n(i) = -i**3 - 8*i**2 - 5*i - 4. Let g(r) = -5*n(r) - 3*s(r). Determine g(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015394 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220998057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19733 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23 (b) -2\/777 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 47. Let w = -11 + s. Which is smaller: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724.34 + -76.04. What is x rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 less than 457857?\nAnswer: 457849.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -510210 > 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:56 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -46 + 44 + (0 + -1)*-1. Suppose 5*w = y - 21, -3*y - w + 0 - 17 = 0. Is r greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3506, 7118, 10660, 14132?\n\"Answer: -35*z**2 + 3717*z - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-8) - 1)*(2 + 0). Let v be 24\/18 + (-11)\/(-3). Let j = 10 - v. Put -1, i, j in descending order.\nAnswer: j, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/(-6))\/(1 - 77\/66) + 32555.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 3*u**2 + 4*u - 4*u**2 + 0*u**2 to the form r*u + f + i*u**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20864 - -20863.95. Sort 3, t, 3\/140, -1.\nAnswer: -1, t, 3\/140, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yymy when four letters picked without replacement from {y: 5, m: 4, j: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b**3 - 20*b**3 + 40*b**3.\nAnswer: 70*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -2737?\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15061914 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -94*w - 79. What is the tens digit of v(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7742 + -7739. Solve 3 = v*w + 3*g, 0 = 5*w - 5*g + 36 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386877.4 hours to microseconds.\nAnswer: 1392758640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1974 (base 10) to base 6\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 19 + 4*y + 22 + 0*y - 35. Let m = -11 - -16. Let f(t) = 9 - 7*t + 13*t + 0. Determine m*f(i) - 7*w(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 3*n**2 + n + 1. Let p be u(1). Suppose -3*y = p*h - 12, -h + 3*y - 8 = 4. Solve h = o + 3 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + -5 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1850 - 4155?\nAnswer: -59a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3 + 11*i**2\/2 + 8*i + 5. Let x be g(-7). Suppose -2*c = c - x. Calculate the greatest common factor of c and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 5285.133674.\nAnswer: 5285.163674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - 1) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 - 1 = 0. Suppose -6*g + 16 + 74 = 0. Suppose -g = -2*z - 3. What is the greatest common factor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -43 + 19 - a + 34. Suppose -4*t + 2*t = 4*i - 46, -5*t + 61 = 4*i. Let o be p(i). Are 2 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t + 79*t = -4*i + 35*t - 50, 4*i + 3*t = -46 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from ccycfhoc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156194, -156633, -157072, -157511, -157950?\nAnswer: -158389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + w**2 - w - 4. Let m be t(-2). Let r = -33 + m. Let f(k) = 5*k**2 + 5*k - 33. What is the tens digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1211234, -1212060, -1213436, -1215362, -1217838, -1220864, -1224440?\n\"Answer: -275*g**2 - g - 1210958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001509 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = 2*z. Suppose p = -3*i - i - 2, 0 = -5*p - 5*i - 10. Let r be (6\/(-18))\/(p\/(-6)). Let n(a) = -4*a. Let o(b) = b. Calculate r*n(q) + z*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 485584 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 94 - 99. Suppose 518 = 9*y + r*y. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45213044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 600767\nAnswer: -3\/600767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086371291.\nAnswer: 3086371291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(891) + -2 + -3.\nAnswer: -3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -2\/13, 0.2, 1, -17\/7 in increasing order.\nAnswer: -17\/7, -2\/13, 1\/6, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 66*g - 49. Let y be m(-67). Let o(k) = -k**2 + 19*k + 2. Give o(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*i - 2650 = 117320. Put -2\/5, -5, i in decreasing order.\nAnswer: -2\/5, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3725, -7439, -11151, -14861?\n\"Answer: y**2 - 3717*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -589?\nAnswer: -4\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 6*x**2 - 16. Let u(i) = 7*i**2 + 37*i - 6*i**3 - 37*i - 10 - 4 - 3. Calculate -7*g(c) + 6*u(c).\nAnswer: -c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = -4. Is -22\/5 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189511103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 62. Suppose 2*m - 59 = -4*l + y, l = 0. Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 4}. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/20 and 52\/(-60)*70\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(242) + 0 + sqrt(242) + sqrt(242))**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4034 - 4035. Sort -11, 1, f, 0.\nAnswer: -11, f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*14\/((-140)\/(-46915))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 28 = -2*u, -3*u - 6*r + 53 = -10*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 2, q: 1, e: 2}. Give prob of picking 2 q and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x - 3*x**2 + x**2 + 10 + 3*x**2 + x. Let f be q(8). Solve 1 = 5*g - 14, 2*a - f*g = -16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6177 by 2059.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421*u**4 + 4*u**3*y + u**2*y + 10*u*y - u - 9*y wrt u.\nAnswer: -5052*u**2 + 24*u*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 2) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -264, 2, 1 in increasing order.\nAnswer: -264, 1, 2, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2355264597 rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ciciccc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 79054.\nAnswer: 237162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8948 times -0.1?\nAnswer: -894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-7)\/(-42)). Suppose g*n - n + 80 = 0. Let w be -2 + (-1 - 0) + n. Round w to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 18 + 66. Let d(g) = g + 8. Calculate d(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-0.33\nAnswer: 0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1037*k**4 - 22*k**2 + 1037*k**4 - 28*k**5 + 6*k**5 wrt k.\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4926*r + 192413 = 1705*r - 847 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -513\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980805 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3638, 14731, 33226, 59123, 92422, 133123?\n\"Answer: 3701*y**2 - 10*y - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 72*x**4 + 1796*x**3 + 17066*x**2 + 39675*x + 24334.\nAnswer: (x + 1)*(x + 2)*(x + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1575\/(-2250))\/((-91)\/(-52))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16686 and 79\/18996.\nAnswer: 52827876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6, e: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 459246, 459044, 458842?\n\"Answer: -202*x + 459448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10*y - 24 = 3*j, 0 = 2*y - 3*j - 21. Calculate the remainder when 27 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12343 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 420 + 4*t - 2*t**3 - 4*t**2 + 1\/4*t**4. Let o(u) = u**2 + 6*u + 7. Let a be o(-6). Give m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -5023693?\nAnswer: -5023687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1654399102 - 3036.\nAnswer: -3036.1654399102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) + 0 + 5. Suppose w*l + 83 = -7. What is the units digit of l\/(-63) - 939\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2 = -5*o + y, 0 = -3*o - 5*y + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -34.32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 89632804*r**2 - 4 + 89632806*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j**2 - 282*j + 40. Give u(17).\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238 and 70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*n - 15, 30 = 2*y + 3*n + 2*n. Let i be (1 - 0) + (-14 - 1). Let s be ((-30)\/(-4))\/((-1)\/i). Calculate the greatest common divisor of s and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1279, 1\/98, -4, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and -74.\nAnswer: 392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 21*c - 61. Let k be r(-20). Let h = k - -718. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5352065 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 13*m**2 - 61*m + 904. Determine h(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6830, 13658, 20486, 27314, 34142?\n\"Answer: 6828*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/(-105))\/(4\/(-10)). Suppose -x = w - 27. Calculate the remainder when 131 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*z, -26*q - 4*z = -31*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(95))\/sqrt(5))**2 + (sqrt(171)*-2 + sqrt(171))\/sqrt(9) + ((sqrt(38) - sqrt(152)\/sqrt(4))*3 + sqrt(38))\/((2*sqrt(10))\/sqrt(5) + sqrt(2)).\nAnswer: -2*sqrt(19)\/3 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 2. Suppose 0 = -3*j - 9, 5*w - j - 9 = 2*j. Let t(m) = 5*m + 2 - m - 1 + w. What is 13*t(p) + 6*x(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43423166 is divided by 8684618?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 4*v**2 + 5*v + 4. Let w be g(0). Let c(f) = 3*f. Let a be c(1). Suppose -103 = -w*l + a*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-42 + 52 - (5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/52712?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l**2 + 15*l + 1. Let c = 93 + -89. Suppose 42 = c*v - 11*v. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*r - 4, -4*r - 57 = 13*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 2249. What is x(-38)?\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*v**2 + 63*v**2 + 18*v**2 + 2*v**2 - 34*v**2 + 134*v**2.\nAnswer: 339*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 z, and 1 s when four letters picked without replacement from yzzzsyszszzs?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 2*q**3 - q**3)*(q - 2 + 3 + 2*q)*(-3*q + 0*q + 4*q).\nAnswer: -9*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 1262236*d + 15146896\/3.\nAnswer: -4*(d - 946681)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (47\/12)\/(4\/(-12)) and -58\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(15\/(-21) - -1). Let j = -5.3 - -5. Which is the closest to 0.1? (a) j (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/20 - k**4\/3 + k**2 + k. Let z be u(-4). Solve 4 - 6 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -7*y**4\/24 - 4*y**2. Let n(r) = 8*r**2 - 11. Let l(p) = -3*p**2 + 4. Let w(h) = 11*l(h) + 4*n(h). What is w(z(b))?\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((9505\/15)\/(4\/12))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15814*a + 14 = 15816*a - 4*v, -3*a + v = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-742))\/((6\/12)\/(21\/12)). Is c not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-4 - (93 - (28 + (-19 - -7))))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from xnnnbxbxnxnbxxnnxnn?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 9. Let o be (-8)\/v*1\/(-6). Let i(j) = -3*j**2 - j. Let f be i(1). Sort o, 0, f.\nAnswer: f, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912) + sqrt(912)*4 + sqrt(912))\/(-6*sqrt(24)\/sqrt(8)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39372066*v + 39372066*v + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:37 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(0 + -2) - (39 + -26 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -55, -1\/6.\nAnswer: -55, -1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134390313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6738129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b7 (base 15) to base 7.\nAnswer: -4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18*(-4410)\/9800\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-4)\/60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*h + 254*h**2 - 9*h - 254*h**2 - 36*h + 17*h**3 to the form z*h**3 + w + n*h + t*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (6 - (-26)\/(494\/(-513))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15427992, 15427985, 15427968, 15427935, 15427880, 15427797, 15427680?\n\"Answer: -s**3 + s**2 - 3*s + 15427995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 119*t - 6. Let l(v) = 2*v**2 - 58*v + 3. Give 7*l(i) + 4*p(i).\nAnswer: 2*i**2 + 70*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -2\/557?\nAnswer: -2\/557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13668 and 1836?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7\/2)*(-8)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555698 is divided by 738?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.018 and 22272.24.\nAnswer: -400.90032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63616, -4, -1.516.\nAnswer: -4, -1.516, 63616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 155*j**2 - 249*j - 1603. Calculate x(-76).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 328.\nAnswer: -19\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8\/(o\/o**(-2\/25)*o)*o*(o**4*o)\/o*o*o*o\/((o\/(o**16*o)*o)\/o) assuming o is positive.\nAnswer: o**(748\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**5 + 5*c**4 + 5*c**3 - 5*c**2.\nAnswer: -5*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3305, 3306, 3307, 3308, 3309?\n\"Answer: y + 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428868 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(26\/5)*(d**1*d)\/(d\/(((d*d**4*d)\/d)\/d*d))*((d**(-7)*d)\/(d**5*d))**(2\/17) assuming d is positive.\nAnswer: d**(832\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 41. Solve -p*c + 2 + 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 2. Let v be p(-3). Calculate the remainder when 12 - v\/(2\/4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:50 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*d + 1792. Which is greater: 178 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30499 is divided by 10140?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22200102 (base 3) to base 4.\nAnswer: 1202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = 2*b. Let d = 1.7 - -0.3. What is the closest to 2\/7 in d, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(-1\/5)*a*a)\/a*a**(-3)*a*a)\/(a**(-1\/2)*a**(-1)\/a*a) assuming a is positive.\nAnswer: a**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5a8228 (base 11) to base 12\nAnswer: -3a5075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/6 + i**2\/2 - 407*i - 1. Let a(r) be the second derivative of -r**3 - 5*r**2\/2 + 3*r. What is a(t) + 5*b(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*b*l**4*x**2 + b*l**3*x**2 - 2*b*l*x**2 - 16*b*l - 2*b*x**2 wrt l?\nAnswer: 1800*b*l**2*x**2 + 6*b*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 + 5895653*o**4 + 2*o**2 - 10166782*o.\nAnswer: 20*o**3 + 70747836*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 6, -w - 26 = -5*w - 2*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -3786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -105 (b) -2\/3 (c) 1 (d) -78 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j - 15 = 0. Suppose 3 - j = -i. Suppose 0 = i*n - 4*n - 4. Sort -1, n, 2 in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -120 in -2\/13, -1\/2, -0.1, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 86\/30)\/(256\/3072).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16780, -13, -0.0135 in descending order.\nAnswer: 16780, -0.0135, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*b - 157 + 157)*(2*b + b - b + (1 + 2*b - 1)*(0 + 0 - 1) + b + 1 - 1) as g*b**2 + p + m*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-3 + (260 - 3) + 0)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + r + (-203 - 109 + 146)*(-19 + r + 19).\nAnswer: -165*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/5)*n\/n**(-1\/11)*n*(n\/n**(1\/3))\/n**3*(n**(2\/11)*n*n\/((n**(-4\/3)\/n)\/n)*n)\/(n\/((n*n**(-2\/5))\/n))**(-22) assuming n is positive.\nAnswer: n**(2072\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -4*a, 2*s - 5*a = -2 - 3. Suppose -5*j = 3*t - 100, 5*t = 2*t + s*j + 50. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*f + 237 + 1644 = 0, -2*f + 3770 = 4*h. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3174578771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*n + 8, 5*q - 4*n = -6*n + 28. Suppose 10*k = q + 16. Let y be (((-14)\/8)\/7)\/(k\/(-24)). Solve 0*o + y = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19440)\/(-429624))\/(3\/17)*54\/(-3)?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6 - 3. Let r = 1 - j. Solve -4*f - f + 15 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 465*o - 9602. Calculate y(20).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 55*g - 4125. Let r(t) = -23*t - 3. Give b(r(z)).\nAnswer: 1587*z**2 - 851*z - 4263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*-15*10\/900\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/20 + 2*p**2. Let b(a) = -7 - 8*a - 2*a - a + 2*a. Let q(l) = 4*l + 3. Let d(u) = -3*b(u) - 7*q(u). Calculate o(d(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 9. Let q be 9 + 3\/((-9)\/6). Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/533778087 and 41\/345385821.\nAnswer: 5871558957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a11 (base 13) in base 5?\nAnswer: -2134411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h + 8 - 1\/10*h**4 + 2\/3*h**3 - 4\/5*h**2. Factor z(t).\nAnswer: -2*t*(t - 4)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 14*d = 24. Solve 0 = 2*j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(405).\nAnswer: -2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 9. Suppose -4*o = l - 2*l + 22, n*o - 43 = -l. Find the third derivative of 10*z**5 + 13*z**5 + 0*z**2 + l*z**2 + 10*z**2 wrt z.\nAnswer: 1380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -49*z**2 - 3*z - 2. Determine g(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.67 + -73.67. Let x = 71 + q. Which is the nearest to -2? (a) 0.2 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/(k**(-2\/5)*k)*k))\/k)\/k**6)\/(((k**(-1\/11)\/k)\/k)\/k**6) assuming k is positive.\nAnswer: k**(-17\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3493, 5, 0, 27, -2 in decreasing order.\nAnswer: 27, 5, 1, 0, -1, -2, -3493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + 3 + sqrt(112) + 0.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/12 + 23*z**3\/6 + 487*z**2. What is k(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.8789 centuries to decades.\nAnswer: 5268.789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -17*z + 6. Calculate the greatest common factor of 8 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = -2*p, 5*p + 5*x = 7 + 13. Find the second derivative of -12*v**4 - p*v**4 + 6*v + v**4 + 16*v wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13925 times 0.2\nAnswer: -2785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(11) + 0)**2*-2 - (sqrt(396)*-1 + sqrt(396) - -4*(sqrt(11)*3)**2).\nAnswer: -440 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:23 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 106*v - 1859. Let m be n(18). Which is greater: 648\/13 or m?\nAnswer: 648\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 1016, 1522, 2028?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + -20 + 19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346\/175 - 28\/25. Is 0 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0 (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - -43. Suppose -h = -z - w - 2*w, 0 = -4*z - 2*w + 856. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82941534 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.81692119 rounded to 2 dps?\nAnswer: -2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8746 + -4?\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.4. Let b be 10 + (30\/9)\/5. Let a = -10 + b. Sort -3, a, r in ascending order.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/7, 0.1, -36\/19, -6, 3\/2, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 - -10804 - (2*3)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13946 + -13956.872. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*l**4 - 26*a*l**3 + 68*a*l - l**5 + 8*l**3 - 147*l**2 wrt l?\nAnswer: -24*a*l - 156*a - 60*l**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -18*k + 27, -2*h + 8*k - 11*k = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0346 - 51.6346. What is v rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37367)\/474 + 73)*(-8)\/42?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41649247.400137 + 41649230. Let i = 17.4 + y. Round i to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.2*-301.3.\nAnswer: -1868.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2870456 and 29\/4?\nAnswer: 2870456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 9*g**5 - 87*g**4 - 27*g**3 + 783*g**2 - 486*g = 0.\nAnswer: -3, 0, 2\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2187, -4459, -6733, -9009, -11287?\nAnswer: -13567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -10, 7\/4, -2\/5, -6\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 715196232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 62*y - 6. Let j be u(-3). Let k be (-1 + 2)\/((-6)\/j). Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k + 8*k**4)*(15 - 39 + 0 - 73).\nAnswer: -776*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10417396 and 1683?\nAnswer: 93756564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 - 35*q**3 - 100*q**3.\nAnswer: -107*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-16) - (-1)\/4 - (-132)\/(-56)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 12*i**2 - 18*i + 23. Let z be j(-10). Suppose 3*x + 2*c + 0 = 3, 0 = z*x - c - 3. Is x greater than or equal to 2\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1496)\/88)\/(2*1\/2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*d + 10 = -140*d. What is the tens digit of (-4)\/(6 + d) - -88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5 - 312*m**4 + 5848*m**3 - 15632*m**2 + 14988*m - 4888 = 0.\nAnswer: -94, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-23)\/(a**4\/a**(7\/6)) assuming a is positive.\nAnswer: a**(-395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3899716138.681 + -0.5.\nAnswer: -3899716139.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**3 + 3845*i**2 + 255215*i - 128570.\nAnswer: 5*(i + 86)*(i + 299)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -10. Let t = 12 - 12. Which is the closest to t? (a) i (b) 10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f + 6*f**3 + 6*f)*(-f - 2*f + f) + 2 + 2*f**4 - 2 in the form x*f**4 + t*f + w*f**3 + r + u*f**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31665 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 4316?\nAnswer: 4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103057\/89580 + 2\/4479. Suppose t + 111 - 4 = 0. Calculate the common denominator of p and (1\/7)\/((-2)\/t).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.21383 - 11.004. Let u = -0.21 + b. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71740 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (0 + 1) - (-1003)\/221)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 3. Let n be b(2). Suppose 14 = 3*u - 4*z, -15 + 10 = z. What are the prime factors of (-78)\/4*n*u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 570 + 1116 - 663)*(3*h - 5*h + 3*h) in the form k*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5\/3 + 827*i**4\/3 + 624*i**3 - 13868*i**2\/3 - 28688*i\/3 = 0?\nAnswer: -163, -22\/5, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 398, 1391, 3322, 6503, 11246?\nAnswer: 17863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-20 + 25) - (2 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3117, 951, 5?\nAnswer: -3117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n - 4 = 93*n - 4*b, 9*b + 35 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.4. Let d = 75 - 449\/6. Which is the closest to -0.2? (a) i (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/4 (c) 193 (d) -1\/2 (e) -3 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 328.791 + 0.209. Let b = a - 329.00112. What is b rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(-1*sqrt(8)) + 4)*-5.\nAnswer: -20 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16176872928 and -2?\nAnswer: 16176872926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**19)\/y)\/y*y*y**15 assuming y is positive.\nAnswer: y**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 25 - 5)*6\/(-3)*8\/16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 50 - 59 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2)*(-1 + 0). Suppose -6 = -2*o - 2*s, -g*o + 4*s + 44 = o. Let l be (1\/2)\/((-2)\/(-20)). Solve -l*f + p = 2*p + 17, -4*p = f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/6 not equal to 0.022234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/(sqrt(6) - sqrt(24)))\/(sqrt(36)*-5).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -259819 (base 16) to base 5.\nAnswer: -1112320034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 22*q**2 - 16*q - 19. Let g be y(-14). Let z = 1954 - g. Suppose -4*b + z = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(8\/11)*k)\/(k**17*k))**46 assuming k is positive.\nAnswer: k**(-8234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283702771 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 803.9 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -15*u**3 + 52*u**2 - 13*u + 46. Let v(s) = -7*s**3 + 26*s**2 - 7*s + 23. Let n(c) = -6*q(c) + 13*v(c). What is the units digit of n(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18557 - -24785. What are the prime factors of m?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44132, 44117, 44092, 44057?\n\"Answer: -5*k**2 + 44137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 1, r: 1, m: 1, z: 1}. What is prob of picking 1 s, 1 z, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 154644 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 707756434 and 49.\nAnswer: 4954295038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 + 3. Let t be o(-3). Let a(y) = 2*y. Let z(v) be the first derivative of -v**2 + 64. Calculate t*a(w) + 4*z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:16 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 5*k**4 + 29*k**3 - 4*k - 27*k**3 + 2 to the form m*k**2 + v*k**3 + a*k + j + x*k**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 279 = -40*r. What is the least common multiple of r and 184?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 34*q**3 - 274*q**2 - 1320*q + 9288 = 0.\nAnswer: -6, 86\/17, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5494\/99 + 575\/11. Let d = 5\/18 - b. What is the common denominator of d and -1\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-200))\/(8\/35).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(2\/15)*(w\/(w*((((((w*w**(-1\/4))\/w)\/w)\/w)\/w)\/w)\/w))**(-3) assuming w is positive.\nAnswer: w**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963497.6 kilograms to milligrams.\nAnswer: 963497600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 89?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:40 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t - 18. Let j(m) = 33*m + 37. Let c(w) = -13*b(w) - 6*j(w). Is c(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -16. What are the prime factors of (-79)\/(-2) - y\/32?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9665?\nAnswer: 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k**2 + 28*k + 14. Let v be 1*(-44)\/(4 + 0). Let t be w(v). Let f be (t - -3)\/((-4)\/304). Round f to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 45 - 23)*(-1 + 2*r + 1) + 7 + r - 7.\nAnswer: 87*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzpvupzjpjupj. Give prob of picking 2 j and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230851.\nAnswer: 3, 7, 41, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12996)\/7581*(-49)\/(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 1. Suppose 3*c - 3 = -0*c. Let j be b(c). Let l = j + 6. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1964981 is divided by 130998.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.730025 meters to micrometers.\nAnswer: 730025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:18 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2877 - 544. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101100001100 (base 3) to base 16\nAnswer: -b3694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 31*n + 328. Let t be b(19). Calculate the highest common divisor of 42 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 9 - (-15 + 6 + (57 - -4 - 2)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 4*g**2 + g - 3. Let f be d(4). Let w = 362.99 + -361. Let z = w + 0.01. What is the third biggest value in -5, f, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 124 = 2*s, 0 = -m + 2*s + 34 - 6. Calculate the greatest common factor of m and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392522\/78 + 5\/(-15).\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)*y*y**8)**(-4\/11)*((y\/(y*y**1))**45)**46 assuming y is positive.\nAnswer: y**(-22778\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 15*i = 4. Suppose 2*j - 120 + i = -4*k, -2*k - 10 = 0. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19242*-17.5\nAnswer: -336735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-22)*26\/(-6). Let i = b + 1\/11. Suppose y = -2*y - 6. Are y and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b*(b**4*b)\/b)\/((b**(-1\/12)*b)\/b*b**(1\/3)\/b) assuming b is positive.\nAnswer: b**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36\/15)\/((-18)\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(1 - 1 + 2*y) + 6*y - y - 2*y)*(-7*y - 7*y - 25*y).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97147\/12 + -8091. Let p = 17\/4 - n. Which is the closest to 0? (a) -2 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 458. Let l(q) = 13*q + 915. What is -11*j(i) + 6*l(i)?\nAnswer: i + 452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Find the first derivative of 0*o**l + o**2 - 2*o**2 - 3 + 4*o**2 wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*a + 0)*(308 - 52 - 1060) in the form v*a + s and give v.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 43*v - 47. Let i = 11 + -3. Calculate the remainder when x(-23) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/2, 2\/13, 5 in ascending order.\nAnswer: -7, 2\/13, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 36 - (48 + -33 - 4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 80*p**3 + 0 - 79*p**3 - 1. Give m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705236 by -1246.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r + 0*r**2 + 2\/3*r**3 - 10. Let s(i) = 7*i. Calculate s(m(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 21*l**4\/8 + l**2 + 2*l - 772. Let p(c) = 0 + c + 0. What is p(h(k))?\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7083 is divided by 1011.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -101001111100111001000?\nAnswer: -101001111100111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 7704*o**2 + 333033*o - 340740.\nAnswer: 3*(o - 1)*(o + 45)*(o + 2524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 8 = 8*r, -3024*r + 3021*r = c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1562*q**2. Let a(o) = o. Give a(y(c)).\nAnswer: -1562*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.650961 rounded to 3 dps?\nAnswer: 1.651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1848312 divided by -231039\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -7*b**6\/10 + b**4\/6 + 40*b**3 - 90*b + 2. What is the second derivative of h(t) wrt t?\nAnswer: -252*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 7. Let d be x(-5). Suppose 0 = d*m - 12. Let w = 10 - m. What is the remainder when 10 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 34 = -22*y - 60 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:17 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871 = 22*p - 651 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-10))\/((-6)\/1721)*-8. Let p = 4835 - d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31\/7 - -8*(-4)\/(-56). Suppose -2*p + 4*p = w*l - 203, -2*p - 80 = -2*l. What is the first derivative of -43 + 18*i + l - 48*i wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66207.25 millilitres?\nAnswer: 66.20725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25994150 by -26390.\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -21. Let m = -3.00000018 + f. What is m rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l. Let w(o) be the third derivative of 8*o**2 - 1\/24*o**4 + 0 + 0*o + 0*o**3. Calculate y(w(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 13*u**2 + 12*u - 8. Determine l(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 14*f + 16.\nAnswer: -2*(f - 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836556 by 276.\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2446872 + -3?\nAnswer: 244686c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 11*y - 35. Let s be 2\/3 + (-154)\/(-66). Let m be t(s). Solve m = -j - 0*r + 2*r, 3*r - 23 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 8*m**2 - 4*m**2)*(2*m - 2*m + m + (-1 + 0 + 0)*(5*m - 3*m - 3*m))*(-4*m - 3*m + 10*m).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, -0.4, 52, 0.12, -12\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15556, -15547, -15538?\nAnswer: -15529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472 + -209. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/25 - 1129\/150. Find the common denominator of k and 11\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19729 - -33542. What are the prime factors of w?\nAnswer: 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/13, -0.04, -35, 0.2, 5\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*11\/2 - (204 - -27 - 245)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-6) + 2\/(-6). What is the second smallest value in -0.7, l, -0.3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c**3 - 257*c + 257*c)*(10*c - 6 + 6) + (-6 + 6 + 5*c)*(-c - c + 4*c)*(-3*c - c**2 + 3*c).\nAnswer: -170*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/30*(-25)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460133 + 460156. Suppose 0 = -2*h + 5*h - 6. Sort -2, h, k, -4.\nAnswer: -4, -2, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 40 = -29*b. Calculate the least common multiple of b and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -56.1\nAnswer: -58.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456414473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*w - 483 - 1765 = 6814 + 9700 for w.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyzyzyyyyzyyzyzyz. What is prob of sequence zz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*h - 1462*h - 113*h - 130633 + 21761 = 0 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1953 and 2100.\nAnswer: 195300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 131955 (base 10) to base 7\nAnswer: 1056465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201012313 (base 4) in base 11?\nAnswer: -9297a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -2054, -4820, -8712, -13742?\nAnswer: -19922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286174340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:43 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from tjxxj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25901*t**3 - 8962*t**3 + 8426*t**3.\nAnswer: -26437*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1637 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = -5*u + 1515, 5*t = -3*u + 1910. Let q be (-280)\/(-12)*(15\/(-10))\/(-1). Calculate the greatest common divisor of q and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5436 + -3091. Suppose -f - 805 = -5*q. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100\/(-5 - 0)*-1. Let t be 88\/k + -6*2\/(-20). Suppose 3*r + t*r = 10712. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 5*o + 26. Let c be a(17). What is the highest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Let c(x) = x**2 - 5*x - 2. Let r be c(g). Suppose -r*v + 49 = -3*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2643 = 5*l + u, u - 3 = -1. Let m = -468 - l. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - -1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0. Is s smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-3)\/(-4)))\/((66\/4)\/((-5841)\/(-44604)))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b - 2*s, -b = 3*b + 4*s. Suppose 0*y = -b*y + 4*z + 96, -22 = -y - z. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*h - 39*h + 6*h**2 - h**2 in the form c*h**2 + o*h + q and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1612087245 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 2*c + 2. Let l be y(-1). Let m be 2\/l + (1 - 2\/(-2)). Factor m*i + 2\/5*i**2 + 18\/5.\nAnswer: 2*(i + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + q + 14 = 0, 4*q + 8 = -4*c. Let j(b) be the third derivative of 0 + 0*b**c + 1\/24*b**4 + 2*b**2 + 1\/24*b**5 + 0*b. Factor j(y).\nAnswer: y*(5*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, a: 5, s: 2, z: 1, p: 1, c: 1}. Give prob of picking 1 q and 3 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 - 24 = 0. Suppose 3*u - 15 = 90. What is the remainder when u is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-2 - 0) - 4)*-11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.1 + 17.5. Sort 0.2, f, -2\/17, -1\/2.\nAnswer: -1\/2, -2\/17, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 379 - 364. Suppose 3*u + h = 6*u. Solve u*p = -2 - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bb8 (base 16) to base 5.\nAnswer: -442123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n**2 + n. Let s(g) = 275*g**2 - 6655*g + 13370. Let y(r) = -20*q(r) + s(r). Factor y(v).\nAnswer: -5*(v - 2)*(v + 1337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22774684 to the power of 1\/2, to the nearest integer?\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 9. Let p = -33 + 27. Let y be u(p). List the prime factors of (-235)\/(-3) - (-1)\/y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 36 = 4*y. Calculate the highest common factor of y and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1005 + -15121. Is -14116 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + r**3)*(1431 - 4 + 611 - 276) in the form k*r + x*r**3 + b*r**2 + h and give x.\nAnswer: 1762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 38959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 1, f: 2}. What is prob of picking 2 f and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3889 + 3914. Solve 16*n + 36 = t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:31 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 + -12 + -17 + 17 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*k = 760*k + 220 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-1*sqrt(75) + 2))*2.\nAnswer: -4 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 312 (c) -784 (d) -4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69\/17 - 449\/119. What is the nearest to t in 0.3, -2, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -581*o - 5806. Let m be j(-10). What is the nearest to -31 in 2, m, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -1 + 3 + 2. What is the first derivative of -w**2 + 0*w + 3 + 0*w - r wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*c - 20, 4*c + 6 + 0 = -5*j. Let q be 0\/j*3\/9. Let h be (-1)\/(1\/(-3)) - q. Solve -h*d = -7*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 99. Let u be (36\/i)\/((-3)\/(-20)). What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + n = 49, 4*l + 3*n = 61 + 1. Find the second derivative of 38*u**3 + 14*u - l*u - 21*u wrt u.\nAnswer: 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105342641 - 11579?\nAnswer: -105354220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971447109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 5, p: 11, s: 3}. What is prob of picking 1 s, 1 a, and 1 p?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-35)*j)\/j)\/(j\/j**(-5\/4)))\/(j**(-1\/7))**(-35) assuming j is positive.\nAnswer: j**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 4*g. Let o(a) = 31*a**3 + 13*a**2 - 4*a. Give -f(v) + o(v).\nAnswer: 30*v**3 + 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzxf when four letters picked without replacement from ozxifhxxffh.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2552 rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2362827563 from 5155.\nAnswer: 2362832718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-2)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1136 = 4*l + 4*u, -529 - 571 = -4*l + 5*u. What is the highest common factor of 455 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -142 + (1 - (5 - 27)) + 1 + 150\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/45 + 13*p**5\/120 - p**4\/6 + 4*p**3\/3 - 4*p. Let i(b) be the second derivative of t(b). Is i(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqpqqpqupuq. What is prob of picking 1 u and 3 p?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.7966 and 3.1?\nAnswer: -188.46946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.4, -0.042, -55323?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2205 + 7*u - 4412 + 2207.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 48 = -5*v, 2*i - 105 = -8*v - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -15 (b) 2 (c) 8\/169 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.27kg to micrograms.\nAnswer: 530270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*q**3*s**3 - 116*g**2*q**3*s + 58*g**2*q + 480407*g**2*s**3 + g**2*s**2 + 20*g**2*s - 2*g*q**2*s**2 + 7*q wrt s?\nAnswer: -6*g**2*q**3 + 2882442*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -116 (b) 1 (c) -4\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.82 - 2.18. Let f = l + 24.0000014. What is f rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**2 - u + 56. Let o(a) = 90*a**2 - 5*a + 281. Let s(f) = 2*o(f) - 11*z(f). Find the first derivative of s(g) wrt g.\nAnswer: -36*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11411 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 16 - 34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1247 and 1052787?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-70))\/(10\/35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 92. Which is greater: n or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t. Let k be (-378)\/(-22) - 16\/88. Suppose -16 = 2*w - 15*l + k*l, l + 28 = -5*w. Let h(s) = s**3 - 5*s. What is w*m(z) + 4*h(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14072 + 14074. Sort -2, u, 680 in descending order.\nAnswer: 680, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08033 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/201 (c) 2\/81 (d) 0.03 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 31*v**2 - 18*v + 13. Let g be z(-3). Solve -5*o + g = 331 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 4*i - 16, 5*h = -4*i + 2. Let b(t) = t**3 + 8*t**2 + 6*t - 25. Let l be b(-5). Solve h*v = -3*v + l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/16*8\/(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -7, -14, -23?\n\"Answer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2323 - 2324. Let g = 2 - 1. Which is the smallest value? (a) g (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -5*y - 2*v - 74, 3*y + 8 = -v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/((-45)\/6))\/((-360)\/675). What is the biggest value in n, 48, -0.4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900294 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42378 equal to 42378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z + z + 8*z.\nAnswer: 49*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 - -0.69. Let d = 0.4 - q. Which is the closest to -0.1? (a) -1 (b) 1\/12 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 10, 2*r - 37 = 2*s - 21 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2365 divided by 2.\nAnswer: 2365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.444 - 262.\nAnswer: -263.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1 + 11 = -2*y, -24684*y = 3*g - 24682*y + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3\/9 - 62488*w**2\/9 - 62492*w\/9 = 0.\nAnswer: -1, 0, 15623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 bigger than 3266\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o + 1. Let b(m) = -15*m - 1. Suppose 35*i = 33*i + 2. Let a(s) = i*z(s) + b(s). Let y(w) = -15*w. Determine a(y(v)).\nAnswer: 120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75474237.\nAnswer: 3, 17, 1479887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -8*c. Let s(x) be the first derivative of 3 - 1 + 6*x - 3*x**c + x. Find the first derivative of s(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085*29\/(-8700) - 7?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 8*p - 17. Let i(u) = 2*u**2 + 3*u + 6. Suppose 2*w + 3*r - 6*r - 7 = 0, 0 = -2*r - 10. What is w*x(j) - 11*i(j)?\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*i - 4, 0 = 5*q - 3*q - 3*i + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*j = 4*j - 1525, -5*x = 7*j - 1525. Calculate the remainder when x is divided by 55.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11528, -23031, -34544, -46067, -57600, -69143?\nAnswer: -80696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7*c + 1164. Calculate the remainder when c is divided by (4 - 0 - 2)\/(34\/357).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 69*w - 374. List the prime factors of r(23).\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156 and 0.001.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1014 * -1.423\nAnswer: 1442.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1290 + -1318. Which is smaller: c or -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232220001102 + 212?\nAnswer: -232220000230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -972742 or -972736?\nAnswer: -972742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 3) - -1 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1044 - 1082 = -3*b, 0 = -5*w - 5*b + 30. Solve 2*k + 4*j = 6, 0 = -5*k - 11*j + w*j - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:54 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 3*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-2 - (0 - -1)). Suppose 0*s + d*s = 298. Let b = s - 96. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 3*l**2 - l + (-3 + 3 + l)*(-2*l + 2 - 2) + 1 - 1 - 2*l**2 - 3*l**2 + 2*l**2 - 2*l**2 + (6 - 4 + 7)*(-5*l**2 - 3*l**2 + 4*l**2).\nAnswer: -46*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let w(i) = 18*i + 5. Let q(m) = -2*a(m) - w(m). Let n be q(-4). Suppose -5*c = -k - 1 - 67, 2*k - n = -5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368 - 20. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 35 = 11*r. Suppose 0*z - 2*k + 3 = 3*z, 5*z + 4*k = r. Let h be z\/((28\/(-36))\/7). Solve 3*s = t - 1, 0 = -3*s - 5*t + h - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.34 (b) -3 (c) -5\/3 (d) 102\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 47870*f + 2154312\/5.\nAnswer: -2*(f - 119684)*(f + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, v: 1, h: 3, r: 2}. What is prob of sequence hgv?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1337 - 1333. Let p(t) = t**3 + 12*t**2 + 11*t. Let i be p(-11). Suppose i = 5*n - 3*w - 290, d*n = -3*w - w + 200. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*h = -64, 3*n + 256*h - 54 = 260*h. Solve -3*v + 4*c = -6 + 14, -2*c = v - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-986)*51*(-3)\/(9\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 954, 1936, 2946, 3984, 5050, 6144, 7266?\n\"Answer: 14*x**2 + 940*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5 - 23. Let f(m) = -6*m + 21*m - 5*m**2 + y*m**2 - m**2. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/2)\/(-1)*-1. Let n = 16 + x. Suppose 20 = 8*v - 3*v. Calculate the least common multiple of v and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 295*v - 276. Give t(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13881437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (210*l - 164*l + 333*l)*(1 + 1 + 1)*(5 - 1 - 2)*(5*l - l - 6*l) in the form r*l**2 + n + f*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -1) + -587 + 570 - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 5*j - 13. Let z be w(3). What is the greatest common divisor of 187 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94913 is divided by 15639?\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 195*h - 100*h + 9 = 96*h, 4 = -6*t + 3*h - 23 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21*1*(-6)\/(-84)*2*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + 153. Let z = 576 - a. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 580*m**5 + 35858*m?\nAnswer: 11600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15\/61 - 5213\/610. Suppose 2*m = 4*m - 4. What is the common denominator of j and (-249)\/240 - m\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42816967 is divided by 277?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/5)*t)\/t)\/t*t**0)\/(t\/((t\/(t\/t**(-1\/4)))\/t)*t)**23*(t**3*t)\/(t*t\/(t*t**(-2\/3)))*(t*t\/(t\/(t**1\/t)))**(-5\/6) assuming t is positive.\nAnswer: t**(-1461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 16*n + 5)*(0 + 2 - 4) - 7 - 23*n + 2 + 0.\nAnswer: -55*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9052271 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120175 by -24035.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -2. Let l be 7\/(h\/8) - 2. Let j = -13 - -14. Solve n + j = 2*k, 0 = l*n - 3*n + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Suppose l*h = -5*s + 34, -1 = 2*h - 3*s - 3. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**28*o**(2\/15)*o\/o**(-11)*o**(-2\/41)*o assuming o is positive.\nAnswer: o**(25267\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 78. Let j = 3\/5 - 11\/35. Which is the nearest to h? (a) j (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 20 + 6*a**2 + 17 + a - a**3 in the form s*a + z*a**2 + o*a**3 + u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 490 + 200 = 70 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*g + 0 + 12 = 0, 5*o = -2*g + 6. Calculate the common denominator of 35\/3 and -1 - (50\/4 - o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*j + 9*j = -824, -h + j = -410. Suppose -h = -37*l + 35*l. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuahuu. What is prob of sequence uha?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 36 - 74*z + 68*z in the form x*z + g and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -451229*h**5 - 194*h**2 - 63718820*h.\nAnswer: -9024580*h**3 - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330 - 4001?\nAnswer: -4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1.1, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7643 + 7661. Let w = 3 - 1. Suppose -4*y - 2*t = -214, w*y + 66 = 3*y + 3*t. What is the remainder when y is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-6))\/(a\/a**(2\/7)*a)*a\/a**(1\/3)*a**(-2\/11) assuming a is positive.\nAnswer: a**(1333\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14946 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 p be (-4)\/14 + (6916\/(-490))\/(-13). Let g be 2\/(-4) + (-9)\/(-10). Factor g + 2\/5*d**2 - p*d.\nAnswer: 2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 21. Suppose -11*n + 21 = -4*n. Suppose -2*k - 35 + 7 = -4*h, -35 = -n*h - 2*k. Determine p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1*-4) + -3. List the prime factors of (-1)\/((3\/18)\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247416 + 11?\nAnswer: -247405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1095510.6, -4\/3, 1 in increasing order.\nAnswer: -4\/3, 1, 1095510.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -151*u**2 + 79*u**2 + 74*u**2. Let p(l) = 10*l**2. What is p(y(x))?\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41168 divided by -2.\nAnswer: 20584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92665 + 11119919\/120. Calculate the common denominator of b and 137\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.692071 and 1.\nAnswer: 0.692071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/160 and 87\/556160.\nAnswer: 556160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-55)\/(-11)) + (-8462)\/(-6). Let z = i - 1408. Factor 2\/3 + z*m - 1\/3*m**2.\nAnswer: -(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(36))**2 - (4 + sqrt(38)\/sqrt(2))**2.\nAnswer: -8*sqrt(19) - 121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*m - 136, 0 = 2*m - 4*g + 20 + 40. Let y = -24 - m. Suppose 5*z = -3*o + 75, y*o - 1 - 56 = -z. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 222?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 249\/1222 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2666 - 203c?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 - 42*t**4 + 62*t**3 + 418*t**2 + 492*t + 176.\nAnswer: -2*(t - 4)*(t + 1)**3*(t + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 73*o**2 + 74*o - 693. Is u(19) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -148. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 5}. What is prob of picking 1 t and 3 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 411041220?\nAnswer: 411041210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52282b (base 12) in base 7?\nAnswer: -13652510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 916451789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:59 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 26560?\nAnswer: 26565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 8.2. Let f = 7.8 - h. Let u = -0.28 - -0.3. What is the second biggest value in u, 5, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*m = -4, 19 - 39 = -3*p - 2*m. Suppose 3*g = 4*s + 6, 0 = -0*s - 4*s - 4*g + 8. Solve s*v = p*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 12 - 3 - 8 + 23.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-116)\/812)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 29*z**2 - 15*z - 7. Give c(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*y**4 + 4*y**3 - 640*y**2 - y?\nAnswer: 3648*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -1)\/(2 - 1). Suppose 12*v = 17*v + 5, 4*d - 3*v + 21 = 0. Let s = c - d. Calculate the lowest common multiple of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*r - 5 + 5 + (-1 - 2 + 1)*(-3*r + 2*r + 0*r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*f**5 + 10*f**4 - 105*f**3 + 40*f**2 + 20*f = 0. Calculate f.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(72\/(-288))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -12, 2\/19, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 7 = -7*b. Solve 4*o - 3*z = 10, 5*o - b*z = 3*o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/(3\/(54\/12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 156*t**3 + 6*t)*(2 + 1 - 1)*(5 + 2 - 15).\nAnswer: 2496*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**2 + 0 - 2*t + 1\/2*t**4 + 0*t**3 - 1\/5*t**5. What is the third derivative of a(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = 12. Let l = 37 - 49. Let c = l + 14. Solve t - 5*t - k*y = -32, -c*t + 22 = 3*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808*q = 806*q - 2. Let d be ((-3)\/(-126) + 0)\/(-1). Is q equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008 divided by 626?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2223*n**2 - 4*n + 4. Let r = -19 + 27. Suppose 5*k + 5*l - r = -53, 3 = -3*k + 5*l. Let p be i(k). Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 plus -394103480.051?\nAnswer: -394103480.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/3)\/b)\/b*b**(-5))**(-16\/9) assuming b is positive.\nAnswer: b**(272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 2\/9 (c) 4 (d) 1 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3 - k - 1. Let h(r) = -7*r**2 + r + 2. Let l(n) = 2*h(n) + 5*y(n). Let c = -3 - -1. What is l(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2145 - 1336. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 2*g**2 + 8*g - 80. Let x(a) be the second derivative of -a**3\/6 - a**2\/2 + a. Let c be x(5). Give k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2. Let b(m) = 965*m. Determine s(b(r)).\nAnswer: -3724900*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5812 + 12577. What are the prime factors of f?\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - j - 27, -3*b = -b + 2*j + 6. What are the prime factors of ((-36)\/15)\/(b\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266601536 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1010 - 1011. Let s(g) = -g**2 + 22*g + 55. Let n be s(24). Which is the biggest value? (a) n (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43117492*s**2 + 1735488*s wrt s?\nAnswer: 86234984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(365\/(-1898))\/((-10)\/6).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -22, -3, -6, -12 in decreasing order.\nAnswer: 10, 2, -3, -6, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = -4*w, 4*t - 5*w = -8 - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 207*c**2. Let p(q) = 120015*q. What is v(p(j))?\nAnswer: 2981545246575*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-540)\/(-144))\/((-6)\/(-8)). Solve 4*c = q*p - 24, 13 = -5*c + 2*p - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1083 + -1078. What is the biggest value in 1\/29, 13, y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, q: 7, l: 2, s: 3}. What is prob of picking 1 l and 3 s?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 + 44 - 3*m + 27 + (6 + 3 - 4)*(-5*m + 3*m + 0*m).\nAnswer: -13*m + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792ba (base 12) in base 2?\nAnswer: -1100100000101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0341342 rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1163 and -11\/3.\nAnswer: 3489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6570)\/18*1\/5)\/(-1) is divided by (38\/(-5))\/(2\/(-10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34404 = -643*j - 89*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7ca9 + -2?\nAnswer: -7cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109714 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6182, 6222, 6276, 6344, 6426?\nAnswer: 6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/266 and 34\/7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.109 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1662 - -1300.5. Let d = -387 - m. What is d rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1509, 14426, 57683, 141924, 280811, 488006, 777171, 1161968?\n\"Answer: 2277*n**3 - n**2 - n - 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -213, -669, -1527, -2913, -4953, -7773, -11499?\n\"Answer: -21*a**3 - 12*a**2 + 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*z**4*z**6*z**7*(((z*z\/((z\/(z**(-1\/20)\/z*z))\/z)*z)\/z)\/(z*z**(-1)))**(-2\/63) assuming z is positive.\nAnswer: z**(3767\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*g = -550, -3*d + 2*g - 4*g = -334. Suppose 2*r = -2*r + d. Differentiate -r - 14 + 21 + 9*q wrt q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -2, 0, 3\/5, 2\/7, -0.12955 in decreasing order.\nAnswer: 3\/5, 3\/8, 2\/7, 0, -0.12955, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1338 - 1273. Sort 1, -4, c in descending order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozdoodoodolzttyolol. What is prob of sequence loz?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 2.34, -0.2 in ascending order.\nAnswer: -5, -0.2, 2.34, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2198*a**4 + 3*a**3*h**2 - 9*a**3*h*y**2 + 2465*a**2*y**2 - 4*a**2 + a*y**2 + 2*h**2*y**2 + 6*y wrt a.\nAnswer: 52752*a + 18*h**2 - 54*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -h + 3*q, -h + q - 1 - 3 = 0. Let s be h*(-1)\/2*-12. Suppose -3*p + s = 2*l, -2*p = 2*l + l - 9. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w**2 + 2. Let f be t(-2). Let o be (2370\/(-711))\/((-4)\/(-18)*3). Let d be f\/(-5) - 2\/o. Solve d = -2*u + 2*x + 4, u = x - 4*x + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.98068 decades to millennia.\nAnswer: 0.7198068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by -9\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/11 - 8577*l**2\/11 - 18404091*l\/11 - 55135107\/11 = 0.\nAnswer: -4287, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -1.2. Let v = a + -2.6. Let b = -0.4 + 0.3. Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 19767335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2828858 and 1\/20.\nAnswer: 28288580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2, -5 in descending order.\nAnswer: -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 + 9*u - 12. Let x be c(8). Let k be x\/(-1) - (-1 + 1). Suppose -y + 12 = 2*t - 59, k*t = -y + 139. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c - 29*c - 5*c**6 + 5*c**2 + 16*c wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 equal to 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 2363?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = -210. Suppose 4*m + m = l. Solve 5*d = m + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 27 + 8 = 0. Suppose -1 = -4*k + j. Suppose 40000 = 9*x - k*x. Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4937, -9900, -14849, -19778, -24681, -29552?\nAnswer: -34385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7670*4*-6*(-4)\/120?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 1\/5, -7\/11, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 40*i**2 + 75*i + 62. Let c be w(38). Let s = -1.8 + 1.4. Is c less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 12 + 6 + (-6 + 3 + 1)*(-2 - 3 + 4) - 3 + 5 + 4 - 2 + 2 + 1)*(6*p**3 - p**3 - p**3)*(1 - 1 - 3*p**2).\nAnswer: -312*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274551451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 197*w**2 + 2959*w + 1231. What is z(-211)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/369 - -4045\/2583. Let r(d) be the first derivative of 1\/2*d**4 + l*d**2 - 32\/21*d**3 - 4\/7*d + 1. Suppose r(n) = 0. What is n?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.2 - -3.8. Let a = 9 - s. Put 2\/7, a, 2\/11 in descending order.\nAnswer: 2\/7, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121015561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - c)*((1 - 4 + 4)*(6 - 1 - 2) + 6 - 6 - 16 + 1 - 3 + 3)*(7 - 3 - 2)*(3 + 1 - 2) as x*c + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8400 divided by -56\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 - 99*p**2 + 54*p + 305. Give g(-25).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/78 and -79\/111165.\nAnswer: 2890290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4420 and -119\/380?\nAnswer: 83980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 264*l - 3407. Calculate the least common multiple of 316 and a(15).\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, p: 5, l: 2, b: 2}. What is prob of sequence bpv?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3030, 534 in decreasing order.\nAnswer: 3030, 534, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*100\/125*(-135)\/216*(-2)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(170) + (sqrt(170) - (sqrt(170) - 2*sqrt(170)))*6)\/sqrt(10) - (-1 + sqrt(153)\/(3*sqrt(9) - sqrt(9)))).\nAnswer: 2 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*q + 28 = 0, -3*q + 41 = 4*n + 16. Suppose -n = r - 0. Put 1, -3, r in increasing order.\nAnswer: r, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885 by 19.\nAnswer: 885\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/42 + (1 - 110\/56). Let q = -1 - 1. What is the biggest value in q, 1\/10, i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -0.0417.\nAnswer: 0.9591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 6\/13 (d) -1\/13 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 9*r**2 - 10*r - 13. Let v be j(-8). Suppose -5*t - 3*g = -1507, t - v*g = -2*t + 885. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/7 - (-2)\/7. Suppose -19 = a + 3*g - 5, -f*g - 9 = 0. Let n be (12\/15)\/((-2)\/10). Put n, 1, a in descending order.\nAnswer: 1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639494?\nAnswer: 2, 319747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbtt when four letters picked without replacement from ssbtssbbsbstt?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.7 - 7.7. Sort 2\/17, v, 1.9 in ascending order.\nAnswer: 2\/17, 1.9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1308 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927 + -5.68?\nAnswer: 7921.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/170*34*(8\/10)\/(-4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/6 - y**2\/2 + 8*y. Let c be w(3). Find m such that 2*m**c - 4*m + m + 6 + m - 6*m = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5300, -10580, -15858, -21134?\nAnswer: -26408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -339 + 78. Let m = -58 - i. Suppose 349 = 3*q + 2*r, 310 = 3*q - 5*r - 4. Calculate the remainder when q is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/45 and -12\/5215445.\nAnswer: 46939005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - -0.120941.\nAnswer: -65.879059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from letltozltkttleotttee. Give prob of sequence tl.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(10\/3)*-1)\/3.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 59*s - 571. What is j(-27)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - -4. Let y be -3*1*(-20)\/(-6). Let f = y + t. 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 0 - (3 + (-1 - -2) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 - 29*z + 12. Calculate q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 4*y - 25, 5*y - 4*k = 5. Let v(h) = 7*h**2 - 1. Let f be (-20)\/30*3\/2. Let w be v(f). Solve 14 + w = -y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2 - 88660*a - 88665 = 0?\nAnswer: -1, 17733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/151, 0, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 40939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*c = -21, -5*x + 2*c - 14 = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112, 102, 92, 88, 96, 122, 172?\n\"Answer: f**3 - 6*f**2 + f + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.81722 + 253.\nAnswer: 251.18278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r**5 - 2019*r**4 + 54417*r**3 + 362019*r**2 - 1063296*r - 1368900 = 0. Calculate r.\nAnswer: -117, -50\/7, -1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 1 + 1 - 3*w**3 + 0 + 0 + (-2*w**3 + 0 + 0)*(0 + 3 - 1) + 0*w**3 + 3*w**3 - 4*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 - (4 + -9). Suppose -4*i = -3*c - q + 14, 0 = c - i - 3. Find the third derivative of -14*n**3 - 10*n**2 - c*n**2 + 3*n**2 wrt n.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 144?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 22*x**4\/5 + 2*x**3\/5.\nAnswer: 2*x**3*(x - 1)*(10*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-384*c - 790*c - 620*c + 546*c)*(4*c + 5*c + 4*c) to the form v + b*c + n*c**2 and give n.\nAnswer: -16224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 21. Let b be l(4). Let i(m) = m**2 - m + 1. Let a(p) = 2*p**3 + 21*p**2 + 25*p - 53. Let k(j) = b*i(j) + a(j). Solve k(v) = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22136947 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1602967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 704. Solve 2*g - 33 = 5*u - 0*g, -5*u - 2*g = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - t + 30 = 0, -5*c = 12*t - 13*t - 150. What is the highest common factor of 3290 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/3 - 54*t**3 + 164*t**2\/3.\nAnswer: -2*t**2*(t - 1)*(t + 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 2 - 2*r - 3*r - r.\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652\/1*(-150 - -156) is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -59. Let p(d) = 7*d**2 + 3*d + 3. Let f be p(t). What is the highest common factor of 91 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*k - 9*k + 4*q, -4*k - 4*q + 12 = 0. Solve k*c = -c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408050772 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 850*u**2 + 1694*u + 846.\nAnswer: 2*(u + 1)**2*(u + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77928965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35349 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2 + (1 - -3)). Let l(s) = -s**2 + 5. Let t be l(j). Differentiate -t + 2 - 3*u**4 + 2*u**4 - 3*u**4 wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 25*a**2 - a - 7. Let u(z) = 57*z**2 - 2*z - 14. Give 9*o(v) - 4*u(v).\nAnswer: -3*v**2 - v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 7. Let d be r(10). Let a = d - -8. Suppose -23 = -2*l - 3*b + 22, a*l = -4*b + 95. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 8*o**2 + 32*o - 75. Give s(11).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6 = -3*w. Suppose 0 = -5*t + x + 8 + 16, 4*t - 18 = w*x. Let c be 5\/(t\/(-3)) - -1. Put -5, -4, 3, c in increasing order.\nAnswer: -5, -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76*r + 66*r - 26*r)*(4*r - 2*r + 0*r) to q + a*r + g*r**2 and give g.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 + 0)) + (-1 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (80\/14)\/((-12)\/(-84)) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 499822, 1999186, 4498126, 7996642, 12494734?\n\"Answer: 499788*j**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-9)\/12)\/(5\/60)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27704.\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34331 is divided by 315?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**9\/336 - f**6\/72 - 7*f**3\/3 + 6. Let d(u) be the third derivative of c(u). Find the third derivative of d(o) wrt o.\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 21 + 2394*i - 22.\nAnswer: 2394*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/11170 and -81\/1049980?\nAnswer: 1049980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 22*g - 10*g - 12*g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*m + 4 = -19, -t + 9 = 3*m. What are the prime factors of (-1138)\/(-2) - 3\/(t\/8)?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/16))\/(i\/i**(2\/11))*(i*i**(-3\/5)*i)**(-49) assuming i is positive.\nAnswer: i**(-60153\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 4 (b) 0.4 (c) 3\/8 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -36 + (1 - 1). Let x = -7889 + 94535\/12. What is the common denominator of (-5)\/(-10) + 162\/z and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - -5) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32280996.12 to the nearest one hundred thousand.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 13, 9.\nAnswer: -3, 1, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/3 - 7. Which is the closest to f? (a) 0.2 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + j**2 - j**2)*(23*j - 8*j + 7*j).\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g**2*j**2 + 2*g**2*j*v + 51*g**2*j - 55*g*j**4 + 4*g*v - j**2*v wrt j.\nAnswer: -32*g**2 - 660*g*j**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 3*c**2 + 13*c - 19. Suppose 5*i + 40 = 3*v - 7*v, 5*i - 4*v = 0. What is the smallest common multiple of y(i) and 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72845.85 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 8, -118, -408, -922, -1720, -2862?\nAnswer: -4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-8)\/(-10))\/((-72)\/60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**2 + 79 - d**2 + 476*d**3 - 109 - 141 wrt d?\nAnswer: 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 2*k**2 + 4*k + 4. Let g(x) = -x**2 - 17*x - 4. Let o be g(-17). Let r(b) = 2*b**3 - b**2 + 3*b + 3. Calculate o*r(v) + 3*f(v).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*i**2 + 29*d**2*i - 685630*d**2 + d*i + 612*d + 213*i**2 - i wrt d?\nAnswer: 2*i**2 + 58*i - 1371260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47183 divided by 54?\nAnswer: 47183\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149967 and 14193?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -149*c + 167*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 3 + 6*o - o - 4 - 70*o**2.\nAnswer: -70*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 + 68*k + 226. Calculate w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 7367\/7294?\nAnswer: 7367\/7294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 75*n - 6. Let u be y(-2). Calculate the common denominator of (-934)\/u - 6\/39 and -34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, a: 2}. Give prob of sequence wa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 521227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 2*x - 48. Let j be b(-13). Let u = j - -623. What is the remainder when 194 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4 = 0, 93*l - 91*l + 2*o + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/7 - 45*g**4\/7 + 124*g**3\/7 + 96*g**2\/7 - 512*g\/7 + 48 = 0.\nAnswer: -2, 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 21*x**2 + 19*x - 13. Let m be r(-20). Solve 5*k - w - m = -0, -4 = k - 2*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3.7. Let l = -0.3 + a. Let x = 304\/65 - 23\/5. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**5\/60 - d**4\/24 - d**3 - 27*d**2. Let b be g(-3). Solve 2 = -k + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 20, 0.1, 2 in descending order.\nAnswer: 20, 2, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1044694, 1044712, 1044736, 1044766, 1044802, 1044844, 1044892?\nAnswer: 1044946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1220*m**5*v**3 + m**5*v + 5*m**2*v**3 - 2*m**2*v**2 + m**2 wrt m?\nAnswer: -73200*m**2*v**3 + 60*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*h - 37 + 12, 3*i = -2*h - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -2\/39 in descending order.\nAnswer: -2\/39, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 1. Let d be u(0). Sort d, -1\/10, 1\/3 in decreasing order.\nAnswer: 1\/3, -1\/10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250160 is divided by 187.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6be - -4442?\nAnswer: 4b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -2*m - 29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aogoavovo. Give prob of picking 3 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -99 + -18 + 95\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 950503*i**3 - 83*i**2 - 36090601*i.\nAnswer: 5703018*i - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - (-21 + 18 - (-6 + 2 - (15 + -10)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 794*s**2 - 2381*s + 1. Calculate j(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/13, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -647, -642, -629, -602, -555, -482?\n\"Answer: m**3 - 2*m**2 + 4*m - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(9\/54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r**2 + 240*r - 3478. Let z be j(14). What is the highest common factor of 1550 and z?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 8*y + 39. Find the second derivative of -6*h - 8 + 12*h**4 + 55*h**y + 13*h - 55*h**3 - 8*h wrt h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12273982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 8 - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -4*t, -9 = -4*y + 2*t - 19. Is (1\/y)\/(14\/(-62188)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 m when four letters picked without replacement from mmlmmlmlmmmmml.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1171*k**2 + 5 - 5 - 1172*k**2. Let f(r) = -10*r**2 + 7*r - 5. Let a(s) = -9*s**2 + 7*s - 4. Let c(g) = 5*a(g) - 4*f(g). Calculate c(p(j)).\nAnswer: -5*j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -1 + (sqrt(7) - (2 + sqrt(28))) + 2 + ((1 + sqrt(7))*3)**2.\nAnswer: 22*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 57.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, r: 7, k: 6}. What is prob of sequence ekke?\nAnswer: 25\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*92\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r. Let z(b) = -6*b**2 - 2634*b - 22. Calculate d(z(g)).\nAnswer: -90*g**2 - 39510*g - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:26 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-9)*367\/(-3). Let d = -449 - k. Let u be (-17)\/(-217) + (-4080)\/(-63240). What is the closest to 1 in u, d, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + -27 + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 2. Suppose 16 = -3*f - 3*h + 1, -h = -4. Let s be r(f). What is the units digit of ((-1)\/(-1))\/(s\/(-550))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 73*b**3 - 2704*b + 2704*b)*(0*b - 3*b + 0*b).\nAnswer: -6*b**5 + 219*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 44. Suppose 0 = 2*z - s, 2*f + z - 29 = -4*z. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2388498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = -3*d + 8*j - 12, j = -d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*l**2 - 5*l**4 + 8*l + 11*l**3 - 148*l**2 + 90*l**3 + 3*l**4 wrt l.\nAnswer: -48*l + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let z = 21 - 36. Let y = -14 - z. Suppose -3*i - o = -4, i + 5*o + 9 + 13 = 0. Let d(n) = 2*n + 2. Give i*g(b) + y*d(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*o**2 - 95*o**2 - 104*o**2 - 100*o**2 + 385*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*-2)\/(sqrt(700)*-1))**2 + (-6*(sqrt(14)\/sqrt(2) + sqrt(7)) + 0)*2 + -1.\nAnswer: -24*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12 and 18\/(-6) + 106\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 659, 1680, 3115, 4970, 7251?\n\"Answer: p**3 + 198*p**2 + 12*p - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*l + 13396, 5*f = 3*l - 18104 + 1358. Let j = 5394 + f. Suppose 2*q - j = -4*x, 2*q - 2054 = 4*x - 6*x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872115.9979 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = 2*q, 3*q + 3 + 9 = 3*p. Let x = 29 - 32. Is x less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c43 (base 13) to base 14\nAnswer: -3d67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a (base 11) to base 16.\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let p = 23\/10 - 9\/5. Which is the closest to p? (a) h (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1078.686574 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 242, 449, 666?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1433 * 0.42925\nAnswer: -0.061511525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*h - 1217207, 20*y = 4*h + 16*y - 1217200. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130354538773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 - -225.25. Let r = -20.204 + n. Let o = r + -0.046. What is the smallest value in o, -2\/19, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1896*i = -950*i - 241910 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 60*l**3 - l**2 - 4*l + 3. Suppose -29*f = -235 + 32. Let y(o) = 20*o**3 - o + 1. Determine f*y(c) - 2*p(c).\nAnswer: 20*c**3 + 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2049383075 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13*d**2 + 1. Let i be o(-1). Calculate the common denominator of (-1)\/i - 1 - 0 and (-10)\/(-9) - 2900\/1827.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-36))\/((-1)\/(-8))*(-6)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 7}. What is prob of sequence aeee?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98265\/27244 - 2\/6811. What is the common denominator of z and -73\/518?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, f: 5, e: 1, t: 1}. Give prob of sequence uef.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**2 + 2*f - 18. Let w(u) = 3*u**2 - 6. Let s(z) = 3*h(z) - 10*w(z). Let b(t) = 7*t**2 - 5*t - 5. Determine 6*b(g) + 5*s(g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 233\/765 or -1?\nAnswer: 233\/765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452*o**3 + 1012*o**2\/3 - 215*o\/3 - 50\/3 = 0 for o.\nAnswer: -5\/22, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from wfnnw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 290541636 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 + 135*y + 267\/2.\nAnswer: 3*(y + 1)*(y + 89)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/108 - 1*(-1)\/45. Sort -2, 1\/6, w, 2\/11 in increasing order.\nAnswer: -2, w, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -484*b - 4546. Determine y(-9).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -18, -13, 0, 21?\n\"Answer: 4*d**2 - 15*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 8 - 3)*(-1 - 10 - 18*c + 7) as d*c + j and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 36. Let o be r(13). Suppose 3*b = 5 + o. Calculate the greatest common divisor of b and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5895*u**2 - 5888*u**2 + 17676*u**2 - 5892*u**2. Let r(h) = 10 - 10 + 250*h. Give g(r(c)).\nAnswer: 62500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -74 (b) 7 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h = -392*h - 319*h + 7293 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5038361.\nAnswer: 313, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2038 - -1 - (14 - 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 0, 5, -2.56, -1\/9, -48.47?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 divided by 4?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 741556591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - (-27 - -56)) + (1 - (1 - 2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from hhhheheehhehhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 864 and 864 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/238*(-21641)\/(-53466).\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14)*v*v**18\/v assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41623 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 0) - (0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114221254.\nAnswer: 2, 7, 53, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(5))**2 - (-1 + 2 + sqrt(5)).\nAnswer: -sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 5, 8, 1\/3, -18, -0.16 in increasing order.\nAnswer: -54, -18, -0.16, 1\/3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 178, 2\/5, 991225\/4 in increasing order.\nAnswer: 0.1, 2\/5, 178, 991225\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(9\/(-12)) + (-18 - (-16 + -2)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*-3*sqrt(117))\/sqrt(9))**2.\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.5 - 2.5. Let s = a - 53. Let k = s + 37.4. Round k to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 1:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 123334*r**2 - 3801215040*r - 98914982400.\nAnswer: -(r - 61680)**2*(r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*l - 2523697 = -225*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:03 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 5. Let n be -41 + 39 + (-4 - 0). Let h(a) = a + 2. What is n*o(p) - 17*h(p)?\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -893 + 2686\/3. Let f(s) be the third derivative of -10*s**2 + 0*s**4 + 0*s - m*s**3 + 0 + 3\/10*s**5. What is the first derivative of f(j) wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555 + 559. Let i be (33\/9*1)\/1. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -1. Let v = u + -11.999974. What is v rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-25))\/((-1)\/5). Let q be (51\/(-5))\/(n\/20). What are the prime factors of q\/(-85) - 187\/(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10 - (-210)\/50. Suppose -r = 3*k - p*r + 18, 5*r - 12 = 3*k. Let g(w) = w + 13. Calculate g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19501.95 decades in months?\nAnswer: 2340234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - -2 - (-1 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*b - 3*v + 30 = 896*b, 48 - 8 = 4*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2 = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3)*t*t)**(-18)\/(t*t\/((t\/t**0)\/t))**(-3\/47))**(-33) assuming t is positive.\nAnswer: t**(102168\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47987 - 19241. What are the prime factors of a?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005886 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/117, -1\/2, 2\/3, 3 in ascending order.\nAnswer: -1\/2, -4\/117, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -543, -1836, -4355, -8508, -14703, -23348, -34851?\n\"Answer: -68*w**3 - w**2 + 4*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11021 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u - 14. Let o be y(0). Let i be 0 + (-4)\/o + (-2900)\/(-140). What are the prime factors of (i\/14 - (-1)\/(-2)) + 32?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(2*sqrt(75)).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = -2. Let m be a\/4 + 34\/8. Let f = -1 + m. Solve -q = -f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u + 32*u**3 + u + 9*u wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/5 of a century in decades?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - (4 - (2 - -5))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -2270. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - ((-55214)\/(-6061) + -10) and -19\/1073?\nAnswer: 11803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 21 = -5*d. Let f be (-2 - -1)\/(d\/144). Suppose 3*q - 4*k = f, 2*k - 4 = -q + 4*k. Solve -p - q = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 2726040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 3*f**2 + 6*f - 4. Let j be v(4). Suppose -j*p = -p - 48. Suppose -c - 5*h = c - p, -5*c + 3*h + 40 = 0. Solve -c*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 - 9*f + 83. Determine n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/2 (b) 4 (c) -1\/9 (d) -2\/17 (e) -0.00082 (f) -5 (g) 2\/31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(1 - 74\/(-6)). Suppose 3*z + t - 5*t = 31, -5*t = -4*z + l. Find the second derivative of -p**3 + p + p**z + p**3 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.472 and 10.4?\nAnswer: -25.7088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 24, -17*z - 5405 = -28*z - 3*n. Calculate the greatest common divisor of 29 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841591617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12422*h + 6 + 12411*h - 37254*h + 12404*h.\nAnswer: -17*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*c + 8, 7 - 18 = -3*y + 2*c. Solve -4*q - 2 = 2*p - 8, -2*q = -5*p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*p - 6*p = 44062, -33041 = -3*s - 4*p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - j + 62 = 66, -3*h - 5*j + 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664 and 29797?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)**(-1\/5)\/(((m\/m**(-4\/9))\/m)\/(m\/(m**(2\/7)*m))))\/((((m*m**(-2)*m*m*m*m)\/m)\/m)\/m*m**(1\/6))**(5\/4) assuming m is positive.\nAnswer: m**(-2869\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h. Is h less than 3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 42 = -4*l. Let y(w) = -9 + l - w + 3*w + 2. Let z(k) = -14*k**2 + 3*k. Let c(s) = 29*s**2 - 7*s. Let o(b) = -3*c(b) - 7*z(b). Calculate y(o(m)).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 128 - 154 = 113 - 349 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let q(r) = -r + 3. What is -4*o(p) - q(p)?\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*f**2 + 447*f**2 + 63*f + 2*f**3 - 63*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 75. Let q(n) = 122*n + 69*n - 194*n - 38. Determine -4*g(o) - 7*q(o).\nAnswer: o - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 7*p**3\/6 + 3*p**2 - 3*p. Let o be d(-7). Let x = 0 - -9. What is the highest common divisor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 60. Suppose w + 37 = 2*n. Suppose -45 - n = -5*v. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63*6\/216*8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/((((s\/(s*s*s**(1\/2))*s)\/s)\/s*s)\/s))\/(s**(1\/8)\/s*s\/(s\/(s\/s**(-3)))) assuming s is positive.\nAnswer: s**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2448)*-2 + -1).\nAnswer: 4 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32696*o - 32696*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27368070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1892)\/(-9) - 4\/18. Let y be f\/45 - (-4)\/(-6). What is the third smallest value in y, -0.3, 2\/13, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2366 - -2626. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2643 is divided by 1036?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4233.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327166961?\nAnswer: 3, 1009, 438443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 1\/2*l**4 - 24 + 0*l**3 - 3*l**2 + 4*l. Find q such that c(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20136258.45 to the nearest one hundred thousand.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 95 = -51 - 16. Solve -5*g - 7*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - a**2 + 16*a + 0*a.\nAnswer: -a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o + 12. Calculate j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1622029823 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(3\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23906, -23879, -23852, -23819, -23774, -23711, -23624?\n\"Answer: m**3 - 6*m**2 + 38*m - 23939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.14.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 6. Let h be r(-8). Suppose w - 3 = 2*w, h*x + 2*w = 89999994. What is x rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*p - 2*q + 1622, -32450*p - 184 = -32445*p - 4*q for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + w + 3. Let s be p(0). Suppose 0 = 4*d - x - 31, s*d - 4*x - 18 = -5*x. What is the remainder when 19 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 0.5.\nAnswer: -5, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(2448)*1 + ((sqrt(102) + (sqrt(102) - -2*sqrt(102)))*5 + sqrt(102) + sqrt(102))\/(sqrt(486) - sqrt(486)*-2))*-2)**2.\nAnswer: 2768*sqrt(17)\/27 + 8143604\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j - 175124 = -173967 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*d = 1685*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2. Suppose -3*c - 11 + 20 = 0. Let n(a) be the second derivative of 1\/6*a**4 - 5*a + 0*a**2 + 0 + 0*a**c. What is d(n(m))?\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 15*h - 39. Calculate the least common multiple of 26\/h - (-6 - -8) and 74\/8 - (-18)\/(-72).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -8*x. Suppose x = 11*u - 207 - 57. What is the remainder when 108 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119197286 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -111 - -2?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 11 = -14. Let c(o) = 3*o**3 - 2*o**2 + 2*o - 1. Let y be c(j). Solve -y = g - 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - 0.05. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllplppplq. Give prob of picking 1 q and 1 l.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 662*v - 530*v - 1056 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/3, 4\/9, -0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 - 4*h**4 + 3*h**4)*(-4 + 5 - 2) + (4*h**3 - h**3 - 4*h**3)*(-3*h + 3*h + h) - 2*h**3 + 2*h**3 - 2*h**4 + 0*h**4 - 4*h**4 + 3*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/4617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (108\/16)\/(15\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 11. Let m be u(7). Let s = 14 - 9. Let z = -1 + 0.7. What is the nearest to 0.1 in s, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9684 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 30 + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 0 - 3 + 4 - 3. Let k be v(2). Suppose -p + 7 = -k. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28153 + 28441. Let k be 0 + 0 + 6*3. What is the greatest common factor of k and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/159954 and -2\/10317033?\nAnswer: 20634066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and -0.12?\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 3*s + 3*s)*(0*s + 2*s - 6*s) - 4*s**3 + 4*s**2 + 5 + 7*s**3 - 4.\nAnswer: -45*s**3 + 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 806308169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -18. Calculate the remainder when 78 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = 9*z - 8*z, 113 = 6*h + 5*z. Suppose -8 = -5*v + 17. Solve -h = -v*x - 4*m + 7, 3*x = m - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z**(-5)))*z)\/(z*z**(-2)*z))\/(z*z**(1\/2)*z)**(-9\/13) assuming z is positive.\nAnswer: z**(-7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/8 + 2\/(-16). Is 15 - (2 - o)*3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2. Let c(o) = -o**2 - 36617. Give c(f(v)).\nAnswer: -36*v**4 - 36617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = -3*r. Is (-1)\/(r\/75) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103292319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51.72 (b) -22 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:15 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26784 and 720?\nAnswer: 133920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m + 1028 - 146 = 0. Solve 2*u + 3*f + 8 = m*f, 0 = -2*u - 5*f - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-4 + 3 + -6). Let j(f) = -f**3 - 2. Let v(i) be the third derivative of -i**6\/40 - 7*i**3\/6 + 13*i**2. Determine t*j(n) + 2*v(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 93*k**5\/20 - 11*k**4\/12 + 56*k. What is the third derivative of l(y) wrt y?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 2*l + 8. Let c be s(14). Let i = c + 20198\/27. Let b = 18236\/11 + -1654. What is the common denominator of b and i?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.397 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 20*v**2 + 0 + 1\/24*v**4 + 1\/3*v**3 - 1\/30*v**5 - 1\/120*v**6 + 0*v. What is z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1622280 divided by 54076.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9878*g**2*j**2*u**2 + 2*g**2*j**2*u + 2*g**2*j*u**2 - 1018*g**2*j - 2*g*j**2*u + g*j**2 - g*u wrt u?\nAnswer: 19756*g**2*j**2 + 4*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Let f = -2.14 + s. Round f to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-32)\/147) + 2\/(24\/33)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + u - u)*(2*u - 6*u + 3*u) + 14*u**5 - 2*u**5 + 6*u**5 + 0*u**5 + 3*u**5 - 4*u**5.\nAnswer: 19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q + 4. Let n(l) = 9*l + 6. Let b(r) = 4*n(r) - 7*x(r). Let s(h) = 2*h + 24. Let o(t) = -6*b(t) - s(t). Let a(k) = -k**2. What is o(a(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -3)\/(-2 - 207\/(-105)). Suppose -107*g = -u*g - 4. Solve 3*q - 2*q + 16 = -4*r, 20 = -g*q - 4*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = -292 + 292. Which is bigger: n or 2\/6451?\nAnswer: 2\/6451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303291.\nAnswer: 3, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39074355 and 3895.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*f - 90. Let i(y) = -y**2 + 5*y + 15. Let d be i(7). What is the remainder when (d - 66)*(-34)\/85 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -3 + -1)**2*-6*6.\nAnswer: -4140 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6492.29960303 - -6492.3. What is d rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -536318.37 rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a + 21. Let c(u) = -1. Let f(z) = -2*z**2 - 13*z + 48. Let b(m) = -3*c(m) - f(m). Let h be b(-9). What is t(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-0.51.\nAnswer: 20.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*o - 86 = 234*o + 5*x, -o - 3*x + 13 = 0. Calculate the greatest common divisor of 2375 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/72 + r**5\/12 + 19*r**3\/6 - 8*r. Let p(t) be the second derivative of k(t). Let p(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 4. Let a(o) = 0*o + o - 5 + 7 - 3 - 2. Calculate -3*a(s) - 2*h(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgbg when four letters picked without replacement from gugggvvvuvnbbvuvvgb.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155461\/12 - 12967. Calculate the common denominator of p and ((-111)\/(-44))\/((-2)\/(-4)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -60) + -177 + 106?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 2*y - 4 = -3*d, -2*d = -y + 2. Suppose 3*o = -9 + 3. Sort d, 0, o in decreasing order.\nAnswer: 0, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(12\/13))**(4\/11))**(-33) assuming l is positive.\nAnswer: l**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 14*v - 6773 = 0. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + 3*l. Let f be b(6). Suppose -32 = 2*w - 0. Let p = w - f. Solve 0*n + p = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 31*z - 85. Give j(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 583*p**2 + 8 - 2*p**3 - 3.\nAnswer: -p**3 - 583*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.617 + 0.417. Let m = 0.04 - 2.04. Let w = 2.4 + m. Which is the closest to q? (a) -2 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 - -178. Which is the second biggest value? (a) -0.01 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/90 and -119\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -160 and -165 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohoooklhelkk. Give prob of picking 1 k, 1 l, 1 o, and 1 e.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by ((-12)\/(-3))\/((-27)\/14 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903484.2ug to nanograms.\nAnswer: 903484200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/143 + 337\/429. Which is the second biggest value? (a) 1.38 (b) 10 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-5))\/(-5*36\/(-600)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1695 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - 72 - -210 - 205.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 2224, 44, 2.\nAnswer: -30, -3, 2, 44, 2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-11))**(-1\/5))**(2\/13) assuming s is positive.\nAnswer: s**(22\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.4851 centuries in millennia?\nAnswer: 62.14851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -270, -843, -1950, -3771?\nAnswer: -6486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 - u)*(7 + 4*u**3 - 7).\nAnswer: -4*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2438\/887 or -3?\nAnswer: -2438\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413945484808947 - 413945479824564.94000018. Let b = t - 4984382. Let k = 0.06 - b. What is k rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 93000376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/54 - (4 - 5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47443?\nAnswer: 11, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.2. Let d = -0.2 - l. Let p be (-3)\/4*(-16)\/54. Which is the nearest to 0.2? (a) p (b) d (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a379 (base 12) to base 3\nAnswer: -22021112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1666271*q**2 + 2295124*q.\nAnswer: -3332542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 244*q**3 + 117894*q**2 + 95229909*q.\nAnswer: 1464*q + 235788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170167.\nAnswer: 170167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 13*p - 63. Let t = 56 + -30. What is the remainder when g(-19) is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + s**2 + s**2 + s**2 - 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.85 + 37. Let l = 0.15 - u. Put 3.7, l, 0.2 in ascending order.\nAnswer: l, 0.2, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85269.99mm to meters.\nAnswer: 85.26999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - 21. Let w = c - 17. Let u = -49 - w. What is the biggest value in -2\/7, 4, -0.5, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {c: 2, a: 1, z: 1, n: 1, m: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196060 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/405 or 21?\nAnswer: 2\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4394.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-15))\/(170\/(-50)). What is the smallest value in z, 2\/3, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79\/1027*28\/7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/5 (c) 0.02 (d) -5 (e) -0.25 (f) -184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-6)\/(-14))\/(160\/280)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -666, -988, -1294, -1578?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-110))\/((315\/(-54))\/35)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 4. Let j(z) = 2*z + 2. Let t(y) = 11*j(y) + 6*v(y). Let b(q) = -7*q**2. Let s be b(-1). What is the common denominator of t(s) and 38\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w**2 + 6*w**2 - w + 5*w**2)*(3*w**2 - 4*w**2 + 0*w**2).\nAnswer: -2*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 516 = 3*a - 87, 4*a = f + 804. Calculate the greatest common divisor of 12 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/66 - (-10)\/(-66). Which is bigger: -37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76884400 divided by 305\nAnswer: -252080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8.7. Let z = m + 0.6. What is the nearest to 3 in 1\/3, 0, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + (-8 - -9) - (20 - 32).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 - 48*d + 6891. Calculate l(-49).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.3 - 39. Sort i, -4, 0.5 in descending order.\nAnswer: 0.5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 15 - 24 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2. Let t(a) = 3*a - 5. Let m(d) = 2*d - 3. Let b(h) = -10*m(h) + 6*t(h). What is b(w(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 6, 21, 52, 105, 186, 301?\n\"Answer: x**3 - x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -448 - -454. Calculate the least common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let s be p(3). Suppose u = 4*g - 76, 0*g - 4*g = 4*u - 56. Suppose -s*m - 10 = -g. Which is the nearest to -2? (a) m (b) 1\/9 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 1*(sqrt(35) - (sqrt(35) + (1*(sqrt(35) - sqrt(280)\/sqrt(8)) - sqrt(35))))\/((4*sqrt(25))\/sqrt(5))).\nAnswer: -3 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.657598 to two decimal places.\nAnswer: -7.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 15*u**2 - 15*u - 11. Let y be w(16). Let b = -158 + 466. Suppose -3*g + y*g = -2*c + b, -4*c + 606 = 2*g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - (-10)\/(-35). Suppose h = -6*v + 5*v. Let s = 15 + -11. Solve v = -6*n + s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -12*p + 360. Let w be (-59)\/p + (-9)\/(-6). Let v = w + -4\/9. What is the nearest to v in -1\/7, -8, -2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l + 2508 = -88*l. What are the prime factors of l?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(sqrt(3) - sqrt(3)*-2) - sqrt(3))**2 - (1 + sqrt(108)))*1.\nAnswer: -2530 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from {k: 8, u: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 97.7. Let r = i + 6.4. Let o = 1 - 3. Put 1, r, o in ascending order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 1\/4 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = v - o, 2*o = -v + 31 + 35. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929523 rounded to the nearest 1000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -259*k - 6155 - 5241 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1155.9 times -0.2\nAnswer: 231.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.012 + 0.988. Which is the biggest value? (a) 0.1 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0524*-1268.\nAnswer: -66.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a factor of 5309379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 678 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 721859 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (8 - 5) - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -42 + (-11 - (-6 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + -5*sqrt(33)\/sqrt(3) + sqrt(11) + 4*(0 + sqrt(11)) + sqrt(11)*-2*-2 + -4*sqrt(44))**2.\nAnswer: -32*sqrt(11) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 225354, 901418, 2028204, 3605718, 5633966?\n\"Answer: x**3 + 225355*x**2 - 8*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 4762, 17361, 42612, 84907, 148638?\nAnswer: 238197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.711 meters in nanometers?\nAnswer: 1538711000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + 672*f + 371. Calculate o(-134).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 - 90) + (87 - (-8 + (1 - (-13 + 8))))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (29 - 1) + 1*(0 - 7). Solve 97*f - g = 104*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + g = -264. Let w(o) = -12*o + g*o - 26*o. Let x(b) = b + 3. Let t(n) = 6*n + 17. Let h(r) = -6*t(r) + 34*x(r). Calculate h(w(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 16.8. What is the smallest value in -2, r, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-4)\/(-5))*-1. Suppose -2*z + 19 = 5*b, 2*b + o*z = 3 + 13. Let s be ((-32)\/b - -4)*-39. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:37 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18436652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-341)\/(-33))\/(3\/9). Is j at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h + 0)*(-3*h**3 + h**3 - 2*h**3) - 2*h**3 - 2*h**4 + 2*h**3.\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.367 + -2.257. Let m = v + 1.89. Is 1\/81 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2))**(-17)\/((z*z\/(z*z**(3\/13)*z))\/(z*z*(z\/(z*z**9*z*z))\/z)) assuming z is positive.\nAnswer: z**(-790\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 115\/3. What is the third smallest value in -0.1, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11807 - -0.11807005689. What is x rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-12 - -12) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8 - 18*h**2 - 18*h**2 + 44*h**2 - h**3 - 7*h + 2*h**3 + 3. Determine c(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.858 + 56.\nAnswer: 55.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27681865*r**4 - 43564148*r wrt r.\nAnswer: -332182380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - 9*a + 17. Let d(c) = c**2 + 2*c - 4. Let u(k) = 9*d(k) + 2*o(k). Give u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 16 = -2*d. Suppose 2*v = -5*a - 23, 4*a + v + 10 = -6. Sort a, d, 3 in increasing order.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*f**5 - 792*f**3 + 1820714*f**2 wrt f.\nAnswer: -8880*f**2 - 4752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crm when three letters picked without replacement from mrkrmcmmmmmckcrcrh.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303 + 229. Let o = f + 78. Sort o, -0.4, -9 in descending order.\nAnswer: o, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((609\/49)\/29)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*n + 6*g + 8, -2*n + 11 = 5*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 + 8*t + 7. Let o be k(-7). Let q = o + 13. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372374 (base 8) in base 5?\nAnswer: 131340130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -1876926268717.\nAnswer: -1876926268705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j + 5*b - 3014 = 0, 0 = j - 5*b - 1507. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/27)\/(2\/(-15))*59. Let f = -982 - d. Let h = -2117\/6 - -341. Find the common denominator of h and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/168 - 4*c**7\/105 - c**6\/30 + 2*c**5\/5 + 3*c**4\/4 + 4*c**2. Factor t(o).\nAnswer: 2*o*(o - 3)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.26648mm in nanometers?\nAnswer: 46266480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 + 132033?\nAnswer: 131110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27198, -27197, -27196, -27195, -27194?\nAnswer: -27193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 1\/144 (c) 31 (d) 3\/7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - ((20 - (1 + 5)) + 6)) + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/240 and -7\/192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284608549.\nAnswer: 3, 37, 1759, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27111 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*t = 4*v + 2, -4*v + 2*t = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2877688418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 14. Calculate b(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4609429 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -3\/5 (b) -6\/5 (c) -5.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/12 + 11*v**4\/24 + v**3 + 163*v**2. Calculate b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - i - 2*i + 4*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237309445112637.999678 + 237309232837614. Let t = x + 212274809. Let a = -215 - t. What is a rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -6 (c) -2 (d) 2 (e) -102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/3 - 42*z**2 - 682*z - 1922\/3 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-31 - -9) + -150 + 37.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 137503, 137499, 137493, 137485, 137475?\n\"Answer: -m**2 - m + 137505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 58*w - 115. Let b be t(2). Sort 91, -3, b in descending order.\nAnswer: 91, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 23*t. Let o(h) be the second derivative of -h**4\/6 + 58*h + 2. Calculate l(o(q)).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8.45 * -0.35758\nAnswer: 3.021551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*h + 31*h + 17*h**2)*(4*h - h - 8*h) - 3*h**3 + 0*h**3 + 2*h**3.\nAnswer: -86*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc + 4d?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k + 5. Let q(j) = 19*j + 4. Calculate 7*b(g) - 6*q(g).\nAnswer: -2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 83, 125, 167, 209?\n\"Answer: 42*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = m. Suppose 2*u - 1947 - 1827 = 3*c, u + c - 1897 = m. What are the prime factors of u?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1145 - 1118. Suppose -c = -2*c + 1019. What is the second derivative of c*h**3 - 1019*h**3 + 16*h**4 + a*h wrt h?\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 41. Let i(j) = -j**3 - 8*j**2 - 4*j + 1. Let c be i(-5). Let q be 120\/c - z\/18. Which is greater: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 5)*(45*m**2 - 45*m**2 + 17*m**3) + 4*m + 2*m**3 - 4*m to the form i*m**2 + j*m**3 + p + t*m and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 - 0.3. Let d = -5\/29 + 131\/87. Let n = 0.4 + 0.6. Which is the closest to n? (a) 0.2 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -4*g - 5*t + 912, -4*t = -5*g + 1373. Let w = -119 + g. What are the prime factors of w?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Let y(x) = -80*x + 2. Let v(q) = y(q) - 4*z(q). Let r be v(1). Let m = r + 135. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8368.598cm to kilometers.\nAnswer: 0.08368598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 3*z**7\/14 - z**6\/15 + 31*z**4\/12 + 13*z + 2. What is the third derivative of b(p) wrt p?\nAnswer: 540*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1 + -4 + (-25)\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 410641?\nAnswer: 76\/410641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**11\/c)\/c)**(-31) assuming c is positive.\nAnswer: c**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6310*d - 68 = -6327*d. Solve -3 - 9 = -d*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 589\/225 or -0.349?\nAnswer: 589\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3585687 (b) 0.4 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*v - 26 = -7*a, 5*a + 5*v = 1 + 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75963 and 25.\nAnswer: 1899075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*c = -4 - 3, 0 = 4*v - 2*c. Let z = -2081\/9 + 231. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -49. Suppose 2*s - 3 + 1 = l. Calculate the common denominator of 391\/(-92) - (-1)\/s and 3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 100, 107, 126, 163?\n\"Answer: h**3 - 3*h**2 + 3*h + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108870*l**2 + 1 + 108857*l**2 - 1.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 13*w + 14*w)*(4*w - 3*w + 2*w) - w**2 + 5*w**2 - 2*w**2.\nAnswer: 5*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0\/(1 - -2). Let y(w) = -5*w**2 + 4*w**2 + u*w - 3*w. Let i(p) = 53*p**2. Give i(y(v)).\nAnswer: 53*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 885?\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1108 - 772277\/697. Let t = 1 + -1. Are i and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6409842866?\nAnswer: 2, 7, 457845919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o + 5*i, 4*i - 35 = -5*o - 9. Find the second derivative of 16*f + 47*f**2 + 11*f + 39*f**o - f wrt f.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2848824356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3020 + (-30)\/(-12)*(-60)\/(-25). Round r to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22966 + -23021. Sort -4, 0.5, 2\/21, -0.03, w in descending order.\nAnswer: 0.5, 2\/21, -0.03, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1655.5 * 23320.\nAnswer: 38606260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:45 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -52\/4661, -0.5, -0.15, 4 in decreasing order.\nAnswer: 4, -52\/4661, -0.15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1827 = 14*m - 17*m, -n + 612 = -4*m. Calculate the highest common factor of 266 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.45 + -0.4. Let l = t - 0.65. Let j = -5209 + 5211. Which is the nearest to 1? (a) l (b) j (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1671 + 1725. Solve -j*s = -59*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4 - 3 + 4 + 0 - 2 + 5 - 1 + (5 - 1 - 2)*(0 - 2 + 0))*(0 - 8 - 9*u + 5).\nAnswer: 18*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 3*j**6\/40 + j**4\/3 + 8*j**2. Find the second derivative of r(m) wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i + 20*i + 20*i + 13*i + 19 - 74*i. Determine w(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 831886529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/102870 and -113\/435780?\nAnswer: 55344060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131465.214ns to days.\nAnswer: 0.000000001521588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.7 + -26. What is the third smallest value in -0.1, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.1, 478699\/42?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26146 - -16366. Round f to the nearest one hundred.\nAnswer: -9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -33981093?\nAnswer: 5\/33981093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -3*k**5\/10 + 4*k**4\/3 - k**3 - 2*k**2 + 28*k. Solve d(x) = 0 for x.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -2, -19 in decreasing order.\nAnswer: 6, -2, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*p = -1454, -3*w - 4*p - p - 1105 = 0. Find the common denominator of 7\/20 and -2 - (w\/150 - -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)\/y*y*y**2\/y*y*y*(y*y*y**(-2))\/y**(1\/8) assuming y is positive.\nAnswer: y**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4977, -9968, -14957, -19944?\nAnswer: -24929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/9 or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*x - 3 = -6*x, -4*x - 16 = 2*h. Let c(j) = 5*j**2 + 213*j + 128. Let b be c(-42). Solve -h*v = v + b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v = 4*f + 101*v + 11, -4*v + 12 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 17*h. What is the nearest to -1 in h, -3\/4, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/7029*27*((-2)\/2)\/(-1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(81\/18*2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*6*(-11)\/264. What is the closest to -0.07 in -2\/9, f, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13569 * 300\nAnswer: 4070700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*z = 94*z - 90. Let i = z - -92. Suppose 2349 = i*m + 415. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 3*r**3 + 2*r**3 + (2 - 2 - 1)*(2*r**2 - r**2 - 4*r**2)*(0*r + 0*r - r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-105)*(-48)\/448*10\/(-22).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204630 and 247710.\nAnswer: 4706490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9169 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/((-450)\/2125))\/(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10335 - -3253?\nAnswer: 14032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-56)\/(-96))\/1\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.31. Sort -2\/5, g, 4 in decreasing order.\nAnswer: 4, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166 + -262.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*z + 1, -4*z = -0*z + 4. Suppose -3*m + 9 = -6. Suppose 6 = m*h + 1. What is the remainder when g is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 4*n + 12 = 17*a, 3*a + 29 = -n for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -25*t**2. Let u(x) = 2*x. Let m(a) = a. Let k(o) = -8*m(o) + 3*u(o). Determine r(k(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/532131 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -16 (c) -51 (d) -0.3 (e) -5 (f) 3\/2 (g) -593\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 56. Let u = 2396\/7 + -342. Which is the fourth smallest value? (a) m (b) u (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 124*o + 29*o**2 + 29*o**2 - 90*o**2 - 3*o**3 - 3 + 32*o**2 to x*o + d*o**2 + u + t*o**3 + c*o**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.5 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10111010?\nAnswer: -10111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -5*t**4\/24 + 11*t**3\/6 - 2*t**2. Let h be 4\/(-14) + (-128)\/(-56). Let x(g) = g - 2. Give h*c(l) + 11*x(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(m**4*m)\/m))\/m*m**(1\/5)*m\/(m\/m**(1\/6))*m**(-2)\/m*m assuming m is positive.\nAnswer: m**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 12*p = -25. Let u be (p\/10)\/(2\/(-24)). Suppose -u*b - 1 = -7*b. Sort b, 0.5, 0.8, 3\/2 in decreasing order.\nAnswer: 3\/2, b, 0.8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**4 - 17710*z**3 + 769965*z**2 - 1416060*z - 2203740 = 0.\nAnswer: -1, 3, 42, 3498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j**2 - 55*j**2 + 10*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let i be 110\/6 - 2\/c. Solve -4*j - z = -i, j + 3*z + 3 = 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5181355533.914 and -0.184.\nAnswer: -5181355534.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.38 (b) 0.1 (c) 5 (d) 2\/3 (e) -4\/15 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-297)\/12 - 1) + (-2)\/(-6). Let k = -99\/4 - q. Let w(h) = -2*h**3 - 3*h**2 - 2*h - 3. Let x be w(-2). Put -3\/5, x, k, -0.2 in increasing order.\nAnswer: -3\/5, -0.2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109684 - 109681. Let u(j) = -j**3 + 5*j**2 + 5*j + 8. Let c be u(6). Solve c = -d*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Solve 3*i - m = 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 38. Let a be r\/(-3)*2*90. What is the common denominator of (6\/4)\/(a\/1700) and 85\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69222*i - 69227*i + 2*h - 50, -65 = 5*i - 3*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -19 + 3 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/112 and 169\/14826?\nAnswer: 118608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012*w - 40320 = 428*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 31*t + 92. Let f be a(-3). Solve 0 = -5*z - f - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805 = 220*x - 215*x. Calculate the greatest common divisor of 57 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 4*k**3 + k**3 + 13*k**2 to d*k**2 + c*k + q + f*k**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72727 (base 9) to base 2.\nAnswer: -1011101101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/13))**(-3\/13)*l\/l**(1\/9)*l*l**(-17) assuming l is positive.\nAnswer: l**(-23146\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277533 by 92511.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20061*v + 140394. Determine w(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1990 is divided by 1072?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -15615, -9 in descending order.\nAnswer: -1, -5, -9, -15615","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 19*r - 27. Calculate k(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6, -2*m = a + a - 176. Suppose 0 = 2*t - 21 - a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 75. Calculate the least common multiple of 52 and q(13).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 994 and 26024908?\nAnswer: 26024908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8897000 divided by 574\nAnswer: -15500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2*g**2 + 14*g + 24. What is q(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (414\/(-27) - -14 - 146\/(-60))*-4\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -315.6 - -316. Let z = 26.7 + -2.7. Let j = -24.2 + z. What is the second biggest value in j, -1\/9, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - 10 - (71 - 168).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*u**2 - 96 + 193 - 97 + 9*u wrt u.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53878292.9 and -2.\nAnswer: 107756585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*h**4 + 189*h**3 - 82*h**2 - 12189*h + 16 wrt h.\nAnswer: -2232*h**2 + 1134*h - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*6\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7597 - 3794. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91\/48 or 3?\nAnswer: 91\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 2*f + 0*f**3 + 0*f**2 + 0 - 1\/6*f**4 + 3\/20*f**5. What is the third derivative of b(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 1\/10 (c) -12.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 22695?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + 0 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 111\/(-6))*4\/26?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246552 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294249 or -294247?\nAnswer: -294247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 3}. Give prob of picking 3 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.55 + -14. Let r = v - 0.5500054. What is r rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 12905. Let c(f) = 458*f. What is c(g(u))?\nAnswer: -458*u - 5910490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -1824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151.3 + -1053.7. Let s = u + 1219.57. Round s to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4693190 and 1052980?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -37*y**3 + 6*y**2 - 6*y. Let a(k) = -75*k**3 + 13*k**2 - 13*k. What is -6*a(b) + 13*n(b)?\nAnswer: -31*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*x**4 - 21*x**2 - 15*x**2 + 24*x**2 wrt x?\nAnswer: -744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 6*j + j. What is the tens digit of ((-32)\/(-10))\/(j\/100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -176?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -3. Let a = 3 + 2. Let r = f - a. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1198656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(33\/3)\/(-99).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4409986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and ((56\/12)\/(1\/3))\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1948*y**2 + 2678*y**3 + 883*y**3 - 1855*y**2 wrt y?\nAnswer: 21366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -198. Let k = 206 + y. Which is the second biggest value? (a) k (b) 0.2 (c) 0.008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 165905, 165904, 165903, 165902?\n\"Answer: -u + 165906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224835011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.074, -3\/8, 2, 25, -4, -0.13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:39 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*l + 9, 3*p - 12 = -2*l + 1. Suppose -5 = p*z - 14. Let f(a) = 3*a - 4*a + 2*a - z*a. Let v(y) = -20*y**2. Calculate v(f(w)).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -19.562148?\nAnswer: 97.81074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 6) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 7) to base 6\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -307\/2. Let m = w + 35\/6. Suppose 3*s + 5*g - 20 + 4 = 0, -3*g = -3*s. Which is the nearest to m? (a) 0.3 (b) -2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 26. Let r(c) = 412*c + 2. Calculate r(y(k)).\nAnswer: 2060*k**2 + 10714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:28 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -217?\nAnswer: -21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 10. Let z be y(6). Solve -24 = i - 0*u - 5*u, 4*i = -z*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 230 = h + 75 + 79, -15 = -2*d - 2*h + 3*h for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131189899 - 223994589. Let h = 92804690.230000404 + q. Let l = h + -0.23. Round l to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8525522, 17051040, 25576558, 34102076, 42627594?\nAnswer: 51153112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/35 + 1317\/15?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n + 4. Let o be b(4). Sort -4, 3, o in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o**2 - 3*o + 22. Let u(b) = 8*b**2 - 2*b + 14. Calculate 5*f(m) - 8*u(m).\nAnswer: -4*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(1 + sqrt(11)))**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75949 + -75946.799936. Let b = g - 2.2. Round b to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m + 89. Let v be w(-17). Let j = -142 + v. What is the remainder when 53 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 12*h**2 - 11*h - 16. Calculate g(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027, 9928, 26457, 54362, 96391, 155292, 233813?\nAnswer: 334702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**3 - 506*a**2 + 17340*a - 196518. Let o(j) = -110*j**3 + 6070*j**2 - 208080*j + 2358215. Let l(g) = 25*c(g) + 2*o(g). Factor l(h).\nAnswer: 5*(h - 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 6*t + 5. Let u be c(7). Let r(q) = -4*q**2 + 3*q + 3. Let i(v) = 3*v**2 - 3*v - 2. Suppose 0 = -22*g - 40 - 26. Determine g*i(o) + u*r(o).\nAnswer: -o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -2*o**6\/3 - o**4 + 691*o**2\/2 - 3015. What is the second derivative of u(r) wrt r?\nAnswer: -80*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -54 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -3\/4 (c) -0.4 (d) -1\/5 (e) -71 (f) 31161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*t - 4379 + 4379.\nAnswer: 435*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 58 = -3*h. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304050.2g to tonnes.\nAnswer: 0.3040502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6303606 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-2 + sqrt(12)\/(sqrt(8)\/sqrt(2)))**2*-4 + -5.\nAnswer: -32*sqrt(3) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87566657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**7\/210 - k**5\/25 + k**4\/30 + k**3\/10 - k**2\/5 + 9*k - 8. Let y(c) be the first derivative of p(c). Solve y(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17007 - (-3)\/(-4)*4. Let u be (-58550)\/15*(5 - 2). Let x = u - v. What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (543567\/(-19588))\/((-2)\/((-8)\/3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q - 191. Let n be j(-14). Let v be ((-1)\/10)\/(n\/(-20)). Which is the third biggest value? (a) v (b) -1 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (-2 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + 2.1. Sort 2, -2, w in decreasing order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(33)\/sqrt(3) - ((sqrt(1584))**2 - sqrt(11))) + (sqrt(1331)*-2)**2 + 0 + 3.\nAnswer: 2*sqrt(11) + 3743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/65406 and 34\/970189.\nAnswer: 5821134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 27235*s**2 + 9252875*s + 9225645 = 0.\nAnswer: -5083, -363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2591.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 30 = 2*h, n + h + 30 = -4*n. Let i = n - -105. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1671959 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 317 + -317. Which is the fourth biggest value? (a) 0.3 (b) 2\/21 (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171556 and 2618?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*v - 3*v - 2*v)*(-2*v - 10 + 9 + 9*v) to s*v + k*v**2 + c and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/20*3\/((-36)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -18*b + 12. Put b, 5, -4 in increasing order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-77)\/105 - (-2)\/5. Let l = 0.8 + -1.1. What is the closest to l in d, 0, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 35*j - 17*j - 195 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let d = -0.5 + 1. Let w = d + m. Which is the second smallest value? (a) -2\/7 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -154*x**2. Let j(s) = 20*s. Give j(w(c)).\nAnswer: -3080*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j)\/j)**21 assuming j is positive.\nAnswer: j**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 421783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = -v, -30*z + 28*z - 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) -2\/7 (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -222 + 0*d - 4*d + 3*d**2 + 218. What is h(-5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 6*j = 9. Solve 0 = j*z, -q - z = -0*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 112*c - 276*c**3 - 76*c**2 + 87*c**3 + 85*c**3 + 96*c**3 - 48.\nAnswer: 4*(c - 6)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -121. Suppose -r*n + 199 = -191. Let p = -15 + n. What is the greatest common factor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from zpzzpzzzpzp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 294311779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/3*((-1568970)\/(-3120))\/(-447)\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*i**3 - 6*i**2 + 425*i?\nAnswer: -102*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5999033101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m\/(m\/(m**(-1\/3)\/m))*m)\/m*m*m)**(-1\/9)*(m*m**(-1\/4)*m)\/m**(-3\/2))**5 assuming m is positive.\nAnswer: m**(1595\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z + 19. Let w be r(-5). Suppose 5*q = -w*j + 339, -2*j + q + 117 = -70. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, k: 2, g: 3, d: 4, e: 3}. What is prob of sequence kgeg?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:27 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -281, -587, -903, -1223, -1541, -1851, -2147, -2423?\n\"Answer: h**3 - 11*h**2 - 280*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7030)\/247*(-12)\/(-45) + (-7)\/(-364)*-4.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z - 25. What is y(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -133*v + 14. Let h(p) = -1. Let x(s) = 7*h(s) + t(s). Let m be x(-3). Suppose 3*j - m = -f, -4*j = 3*f - 160 - 383. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 4*n - 2*u, 4*u = -4*n + 156 + 40. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55327, -53397, -51467, -49537?\nAnswer: -47607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19553287 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 - 14455*s = 0.\nAnswer: 0, 2891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 199*k + 2390. Calculate j(-8).\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i + 3. Let t(w) = -19*w - 11. Calculate -2*t(x) - 7*z(x).\nAnswer: -11*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 346027.32 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 77594868*m + 2257861327476534.\nAnswer: 2*(m + 58196151)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*l - 169*l + 45*l - 6*l**3 - 351*l**2 + 80*l + 4*l**3 as d*l**3 + m + v*l + s*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3349*d**2 - 125*d + 2631461 wrt d?\nAnswer: -6698*d - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, g: 2, v: 2, b: 6}. Give prob of sequence vg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 1547060*b**2 - 299169689216*b - 1795073829888 = 0. What is b?\nAnswer: -6, 386768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 + 91768*c**2 - 12 - c**3 + 67*c - 91676*c**2 + 3*c**4 wrt c.\nAnswer: 36*c**2 + 12*c + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/24 + f**3\/3 - 18*f**2. Let i(j) = -j + 1 - 3*j + 5*j. Suppose 3*b - 2 = 4*b. Calculate b*i(n) + q(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 915742*n + 33 - 12 + 12*n**4 + 2*n**2 - 915764*n - 15*n**3 wrt n?\nAnswer: 144*n**2 - 90*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, v: 1, r: 3, p: 1, x: 3, f: 2}. What is prob of sequence cpr?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -980, -997, -1036, -1109, -1228, -1405?\n\"Answer: -2*j**3 + j**2 - 6*j - 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v. Let l(q) = -q**3 - 8*q**2 - 2*q - 3. Let m be l(-8). Let j(g) = -5*g. Determine m*j(a) + 6*n(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4200 and 4800.\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(27) - (sqrt(54)\/sqrt(2))**2)) + 1*sqrt(12).\nAnswer: 2*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 2.1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 60*q. Let v(w) = 10*w + 4. Let p(g) = 12*g + 5. Let b(l) = 4*p(l) - 5*v(l). Give b(x(u)).\nAnswer: -120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 342085*a**2 - 18487170*a.\nAnswer: 5*a*(a - 68471)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28273490 - -0.1\nAnswer: -28273489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2)\/7*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1 - 1 + 1. Let s(c) = 668*c + 4675. Let u be s(-7). Let b(q) = -15*q + 25. Determine u*b(w) - 25*d(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119, -244, -367, -488, -607, -724?\n\"Answer: z**2 - 128*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((3 - 11)\/(-4)). Let 1592*m**2 + 2156*m**5 + 32 - 184*m - 185*m - 128*m - 1624*m**4 - 1756*m**s + 97*m = 0. Calculate m.\nAnswer: -1, 2\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9268 + -9268.3. Let o = 0.7 - 0.7. What is the closest to 2\/3 in -1.6, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440893879 divided by -4?\nAnswer: 440893879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(86\/(-20) - -4)*(-27)\/(-108).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 - -3)) + (2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 + -205. Suppose 0 = h*p + 15, -4*p + p - 4 = 5*f. What is the closest to f in -5, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231379.\nAnswer: 231379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1228\/6119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let i(k) = 8*k + 3. Let a(p) = i(p) + 5*t(p). Let j be a(2). Let w = 4 - j. Solve l = -w*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcd when three letters picked without replacement from adacdxaaccbaawwdaaa.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34329 + -32168. Is 2161 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 13, 2, -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 y, and 1 o when three letters picked without replacement from {o: 5, y: 1, a: 3, i: 1, r: 1, l: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -7122.\nAnswer: 5\/7122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 25906056*f - 51812096.\nAnswer: -4*(f - 6476512)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/1 - 3447\/(-1149)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 48*w**3 + w.\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015811 to 5 decimal places.\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1047, -2, 4 in descending order.\nAnswer: 1047, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011201100212211 (base 3) in base 11?\nAnswer: -9573062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.6 + 24. Which is the smallest value? (a) -1\/3 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 112*d. Let x(l) = -3*l. Give x(w(b)).\nAnswer: -336*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4115 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and 1264.\nAnswer: 1263.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = -0*v. Suppose o = 16 + v. Suppose -5*d = 2*g + o, -g + 4*d = -d - 26. What is the nearest to -3 in 2\/3, g, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -0.1 in descending order.\nAnswer: 9, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121677668 and 214536.\nAnswer: 730066008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.11, -0.4.\nAnswer: -41, -0.4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3182 - 4328. Let w = 12147 + u. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8 and 81\/182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0064933 take away -0.3?\nAnswer: -2.7064933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/30 - (-2)\/5. Let p be 2 - (-10 + -2 + j). Let k = 38 - p. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22*x**3 - 6*x**2 - x - 6. Let c(g) = g**2 - g + 1. What is 6*c(z) + y(z)?\nAnswer: -22*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768961101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14203 + 10272?\nAnswer: -3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 1266\/5)*740\/111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -31*o**3 + 4*o**2 + 15*o + 30. Let p be d(-2). Let m = 277 - p. Calculate the greatest common factor of m and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -55. Let d(r) = r**3 + 6*r**2 + 3*r - 1. Give d(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*q + 23*q + 26*q)*(1 + 0 - 3) + q + 2*q - 4*q - q - 3*q + 6*q + (5 - 2 - 4)*(-q + 0*q - 2*q).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2119152201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 13 = g, -4*g = -2*g + 3*b - 9 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*g**2 - 1253109*g**3 + 1253108*g**3 + 257*g**2 + 258*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*-2*1)\/(-1). Suppose -u + 4 = -0. Let i(x) = x**2 + 0 - u*x - 3 - 1. Calculate i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 3*x + 3. Let b(k) = -k**2 - k - 1. Determine -7*b(z) - 2*d(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*b**3 - 22*b**3 - 13*b**4 + (-3 + 4 - 3)*(98*b**4 + 20*b - 20*b).\nAnswer: -209*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1485*d**2 - 15*d + 66. Let o(p) = -114*p**2 + p - 5. Give -2*b(c) - 27*o(c).\nAnswer: 108*c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6126166 (base 7) in base 12?\nAnswer: 2b230a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Let n be g(8). Let o be (2 - 0)\/((-6)\/(-12)). Suppose -j = -o*j - n. What is the third biggest value in -0.4, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 360 + -160. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d + 27. Let p(w) = 90*w - 80. Give -5*p(q) - 14*s(q).\nAnswer: -2*q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (318\/(-12) - (-16)\/32)\/((-4)\/(-2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -40*s. Let u(p) = -4*p - 2*p + 7*p. Calculate n(u(z)).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -62, 5, 3, 6, 26?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.03, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 10*m + 9. Let r be i(-9). Let g(z) = -z - 2. Let n be g(r). Sort 0, -3, n in ascending order.\nAnswer: -3, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, s: 11}. What is prob of sequence nn?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/13)\/(((-39)\/(-2))\/(-13)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 - 159. Let g = w - -285.98. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*f - 171, 5*o - 3*f = -8*f + 170. Calculate the lowest common multiple of o and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5392307ml to litres.\nAnswer: 0.0005392307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2827 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*w - 2*w + 932, w = -4. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*b = -b - 76, 4*b = -4*j - 140. Let d be (-3)\/(34\/j + (-2)\/(-2)). Is -53 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4870029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-34)*6\/(-52). Let i be ((-1818)\/(-117))\/(544\/135). Let s = d + i. What is the common denominator of 85\/12 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -18\/49967?\nAnswer: -18\/49967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1 + 7*w - 3 + w**2 - 2*w. Let o(g) = 2*g**2 + 11*g - 5. Let x(b) = 7*i(b) - 3*o(b). Give x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o**4 + 6*o**4 + (-3*o**2 - 11*o**2 + 9*o**2)*(-8 + 4*o**2 + 8).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 7)*(-5*y + 4*y + 2*y) - 5*y + 3*y + y + (-13 + 14 + 16)*(-9 - 2*y + 9) to the form z*y + c and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -173 and -177 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*d + 166 + 55*d - 110*d wrt d?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15929770 is divided by 15929613.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -be3 (base 16) in base 15?\nAnswer: -d7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2260*o**2 - 281 + 92 + 94 + 105 + 55*o wrt o?\nAnswer: -4520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.008 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2939, -2943, -2955, -2981, -3027, -3099, -3203?\nAnswer: -3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*z + 10, 5*z - h - 5 = -0*z. Suppose z = -4*s - 1 - 3. Let y(x) = 12*x**2 - x. What is y(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-10)*(-6)\/18*2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 2073, 4566, 8079, 12624, 18213, 24858?\nAnswer: 32571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 49170?\nAnswer: -49175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -54050121?\nAnswer: 54050130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 5. Let i(p) = -2*p - 5. Let z(u) = -3*c(u) + 2*i(u). Let g be z(5). Suppose g = v - 3 + 1. Solve 6 = 2*d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206005 (base 9) to base 6.\nAnswer: -2343005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Suppose 5*q - 2*l = 132, 6*q - 2*q - w*l = 106. What is the greatest common factor of q and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 0.0584994?\nAnswer: 0.0584994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, -522, -1\/4.\nAnswer: -522, -1\/4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1862183*n**2*x - 3*n**2 + 69*n*x + 6*n + x + 1508838 wrt x?\nAnswer: 1862183*n**2 + 69*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1504 = 22*v + 10*v. Let h = 101 - 47. Let i = h - v. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32202 - -32207. Let f(c) be the third derivative of 0 + 32*c**2 + 1\/2*c**3 + 1\/120*c**6 - 1\/24*c**4 + 0*c - 1\/15*c**v. Give f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -963 - -939 - (-35 + 1) - (3 + -71)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 36 = -4*z, -z = -5*h + 10*h + 29. Let g(c) = 26*c**2 + 17*c - 12. What is the hundreds digit of g(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 14*u**2 - 14*u + 23. Let b be n(-13). What is the second derivative of 103*z + 14*z**3 + 11*z**3 - 56*z**4 + 18*z**4 + b*z**4 - 7*z**3 wrt z?\nAnswer: -24*z**2 + 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a4e9 + -f?\nAnswer: -a4f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340.38325 rounded to the nearest integer?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-16)\/(-5 - 3)). Solve 5*k + 15 = -w*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (1*sqrt(75) + -5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 66.22853 millennia?\nAnswer: 6622.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -77 * -1.338\nAnswer: 103.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c - 28. Let u = 10 + c. Suppose 57 = 53*h - 420. Calculate the highest common factor of h and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -297, -672, -1197, -1872?\n\"Answer: -75*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13ae6 + 279?\nAnswer: -1386c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4383309806 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982 divided by -42.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-21) + 1)*(-7)\/1. Solve 15*d = 8*d + m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1801344, -3602686, -5404026, -7205364, -9006700, -10808034, -12609366?\nAnswer: -14410696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29197.437 rounded to the nearest 10?\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8837964*q**5 + 3*q**4 - 164803393*q wrt q.\nAnswer: -176759280*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*69\/1127)\/(-18)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1228\/2187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from gqqgiqigicq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(14)\/sqrt(2) + 3)**2.\nAnswer: -32 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1157 and 9523.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 567*k**4\/4 - 2631*k**2\/2 + 1110*k. What is the first derivative of q(t) wrt t?\nAnswer: 3402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 5 + a + 4*a - a - 7*a. Let n(s) = -s + 3. What is 5*n(c) + 3*z(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -48*m**3 - 12*m**2 + 9*m + 25. Let r(o) = 125*o**3 + 30*o**2 - 23*o - 63. Let y(s) = 13*f(s) + 5*r(s). Determine y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -124, 1 in decreasing order.\nAnswer: 5, 1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + 4*o - 3. What are the prime factors of z(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/9)\/((-9)\/((-405)\/(-10))). What are the prime factors of (-92)\/(-46) + (-410)\/(-1) + s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -16. Let l = 11 - s. Let w(y) = 3*y**3 - y + 1. Let r be w(1). Which is the biggest value? (a) r (b) l (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060606 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30198142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 5*d + 1. Let m be v(4). Let i = 4 + 1. Let g = i - 5. Solve -b + 4*j - 10 = -2*b, g = -m*b - 2*j + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 2*x. Let q be t(-2). Let a(f) = -2*f + 4*f**3 - 3 - 3*f**2 - 4*f**3 + f**3. Let y be a(4). Put 4, q, y in increasing order.\nAnswer: q, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67\/3104 or -1?\nAnswer: -67\/3104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321 + 349.8. Let u = -28.798492 + l. Round u to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**2. Let g(t) = 5*t. Let o(m) = -m - 5. Let x be o(4). Let h(v) = -11*v. Let d(k) = x*g(k) - 4*h(k). Determine r(d(a)).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*z + 18, 390 = -3*z - 15*h - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 409493216 and 0.5.\nAnswer: 409493216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from nnbznzzfznzbnzzzzb.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 0.051.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.2*-0.4.\nAnswer: 28.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/16)\/(1 - 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28\/2915 (b) -1 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 - 58202232.\nAnswer: -58202232.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 511\/19 + 88\/836?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*v + a, -129 = -v - 2*v + 3*a. Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:06 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = -2*k, -2*k + 5*b - 7 = 2*k. Suppose -4*s + 103 = 107. Sort s, 2, k.\nAnswer: k, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*m + 69*m + 3060. Is m at most -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260.97401326 + -239.974014. Let o = -21 + c. What is o rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Let w = -19 - -32. Suppose -w = 4*g - 33. Put q, -1, g in decreasing order.\nAnswer: g, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739 = 43*p - 219*p + 21 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 4. Let r(i) = -4*i + 9. Let m(j) = 4*r(j) - 9*v(j). Let a(l) = 2*l. Give m(a(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z + 290. Let s be v(38). Sort -2, s, -5, 4 in decreasing order.\nAnswer: 4, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-87984)*-1032 + (-2)\/(-39)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -26 - 50)\/(1 + -4 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = -2*y + 2*c, -4*y = -5*c + 5. Solve -t = -r + 5, -4*t - y*r - 3 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**2\/2 + 1. Let s(i) be the first derivative of -3*i**2\/2 + 2. Give s(c(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2)*3)\/((-17)\/34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 8) to base 14.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + r**2 + r + 8. Let q(y) = y**3 - y**2 + y - 1. Let w(i) = -a(i) - 5*q(i). Let v be w(-5). Differentiate 4 - 6 + 3 - u**v wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 8) to base 15.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 1\/56*n**8 + 11\/20*n**6 + 0 + 0*n - 1\/5*n**5 - 3*n**4 - 31*n**2 + 13\/70*n**7 - 9\/2*n**3. Determine g so that o(g) = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 36.03. Let m = 0.03 - r. Sort -0.4, 4, m in decreasing order.\nAnswer: 4, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 20 = 0. Suppose -d + y*d - 6 = -2*k, 0 = 4*k. Let d + 2*h + 1\/2*h**2 = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 5674*y**2\/3 - 5681*y\/3 - 11350.\nAnswer: (y - 3)*(y + 2)*(y + 5675)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 794 - 218. Suppose -6*d = -10*d + k. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*v + 62 - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*t**4 - 4*t**3 + 4*t**3 + (-t + 0*t + 3*t)*(2*t - t**2 - t**3 - 16*t - t**2).\nAnswer: 15*t**4 - 4*t**3 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 2:21 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0250535 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 68*y**2 + 1246*y + 315. Calculate l(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-15\/7))**43 assuming j is positive.\nAnswer: j**(645\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19472 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6242019 millennia in decades?\nAnswer: 62.42019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1584 - 530 - 531 - 4421*n - 521 + 16786*n as c + y*n and give y.\nAnswer: 12365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d - 3. What is u(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:42 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132) + sqrt(132))\/(sqrt(55)\/sqrt(5)*-4).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 9 - (0 - -2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from zjblb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:47 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.324282386 to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = 120. Let x = -8 + l. Let d = -11 + x. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 3. Let h be r(-5). Suppose 0 = -h*m + v + 311 + 193, 3*v = -5*m + 1282. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:50 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 24*k + 37. Suppose -7*m + 46 = -5*m. Let t(h) = -h**3 + 6*h**2 + 8*h + 3. What is the remainder when q(m) is divided by t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 426, 1389, 3268, 6369, 10998?\nAnswer: 17461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**4\/5 + 32*i**3\/5 - 6*i**2\/5 - 4*i = 0. What is i?\nAnswer: -2\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11421485 times -5?\nAnswer: -57107425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - 8) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 5. Let b be u(-5). Find the second derivative of x**2 - x**2 + 2*x - 2*x**b + 0*x**5 wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3752394*p**4*s**3 - 18*p*s**3 - 2844569*s**3 - 13*s wrt p.\nAnswer: -15009576*p**3*s**3 - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 - 61 - 115 - (-1 + 29)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/2 - 2*k**3\/3 + k**2 + 2*k + 19. Find u, given that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*j = 562*j - 1800 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 15\/47?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 5*m - 2*m)*(25272*m + 426*m**3 - 25272*m) to the form g*m + p*m**3 + a*m**2 + f + r*m**4 and give r.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/52 and -3 + ((-193)\/(-36) - (-4)\/4)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8*q - 9*q - 548 = 0, 0 = 4*a + 3*q - 2178. Suppose 4*b + a = 6*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 61 = -5*f, -2*l - f + 93 = 15. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -3*r + 171, 6 = -3*s. Suppose 10*t - 5*t = r. What is the highest common divisor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 5) + -21 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25))**(-13\/4) assuming j is positive.\nAnswer: j**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 4*t**2 + 4*t**2)*(64*t - 132*t - 4*t - 174*t).\nAnswer: 492*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 12*q**3 + 64*q - 26*q - 22*q.\nAnswer: -4*q*(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from sqj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and ((-25)\/355)\/(-5)*(-5)\/(-6)?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/15)\/10*9\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - b + 19 = 6*b, -3*o = -5*b + 4*b + 27 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11252522 divided by -20422?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67.028, -0.04, 0.5 in increasing order.\nAnswer: -67.028, -0.04, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-7) - 6\/21. Suppose -2*c = -3*c + h. Let f(z) = -1 + 4*z**c - 4*z**2 + z**2. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - d - 5*d + d**3 - 2*d**3 + 3 - d**2. Let b be l(0). Find the first derivative of -3*n**2 - b + 1 + 5*n**2 + 1 wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1557 + -1554. Solve 6 = 4*m - q*n, n = 3*m + 6*n - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2862?\nAnswer: -2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/14 and (-744)\/(-656) - ((-6)\/8 - -2).\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 15. What is the remainder when 18 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -872, -1564, -2332, -3212, -4240, -5452?\nAnswer: -6884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -12. Let h be 5\/2 + 3*1\/6. Suppose -2*o = h*g - 8 - 4, 2*o = 3*g - 12. Solve -5*n - 5*b - 20 = o, -2*n + b = -x*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-21)\/s)\/s*s*s**24*s)**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*a - 6, -125*a = 2*c - 123*a + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 2366?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 4, -4, -16?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 563 and 567 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1669 + -793.1870734?\nAnswer: -793.0201734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 6 = -f. Suppose -b - 11 = -l, 4*l + 2*b = 7*b + 47. What is the greatest common divisor of f and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69106 is divided by 11406?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:26 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 659\/2 - 336. Let y = 18 + 0. Suppose 0 = 2*x - t + y, 0 = -x - 4*t + 15 - 6. What is the common denominator of x and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9268214, 9268217, 9268218, 9268217?\nAnswer: 9268214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6457.935, 0.2 in decreasing order.\nAnswer: 0.2, 0, -6457.935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -8023*n**3 - 4*n**2 = 0.\nAnswer: -4\/8023, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 512 = 3*p - 523, 1015 = 2*y - p. What are the prime factors of -4 + (6 + -3 - y\/(-2))?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832764 greater than 2832769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*23\/(-2691) + ((-9)\/72 - (-878)\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 6, n: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00703189954 rounded to 5 decimal places?\nAnswer: -0.00703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/3 + 4*n**2 - 19*n + 23. Let l be p(-11). Let a = 69 + l. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrnvu. Give prob of picking 1 n, 1 u, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2440*a**2 + 4*a - 385 - 258 - 4*a + 68 wrt a?\nAnswer: 4880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-10) - 1\/(-5). Let n be (1\/(-2))\/(2\/(-8)). Solve m*f - 5 = n*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 20) + 6 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111420017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 579*n**3 - 22*n**2 - 30505*n wrt n?\nAnswer: -24*n**2 + 3474*n - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 17012*z + 8573*z + 8545*z as n*z + x + m*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 42565?\nAnswer: 42555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**2 + 116*n. Let y(m) = 5*m**2 + 39*m. Let s(l) = 3*g(l) - 8*y(l). Let v(a) = -192 - a**2 - a**2 + 0*a**2 + 192. Determine v(s(h)).\nAnswer: -8*h**4 - 288*h**3 - 2592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p. Let k(a) = -a - 4. Let c(t) = -2*t. Let w be c(4). Let m be k(w). Let s(z) = -z**2 + 2*z + 5. Let i be s(m). Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -2027161.\nAnswer: -19\/2027161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 925, 1848, 2771, 3694, 4617?\n\"Answer: 923*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -43, -15, 0.\nAnswer: -43, -15, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3)\/(-9)) - -1. Let l = -1.1 + 3.6. Let v = l + -3. What is the closest to -1 in m, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 4376?\nAnswer: -1750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -20) + -20 - 43 - -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 4010504?\nAnswer: 20052520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2196, -1990, -1782, -1572?\n\"Answer: v**2 + 203*v - 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 2 - 2 + (0 + 2 - 3)*(-8*q + 4*q - 2*q) + 3232 - 3232 + 464*q as p*q + j and give p.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(76) + (sqrt(76) + 3)*-5.\nAnswer: -8*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5 - 500*t**4\/3 - 4276*t**3\/3 - 2140*t**2\/3 + 4288*t\/3 + 880 = 0.\nAnswer: -30, -11, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993252 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/7 (c) -0.108 (d) -7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2 - z. Let h(p) = 12*p**2 + 2*p. Determine 3*h(s) + 5*u(s).\nAnswer: 6*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:43 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -3.09. Let q be 4*(1 - 2) - 0\/(-5). Sort h, 2\/3, q, 1 in descending order.\nAnswer: h, 1, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 - -3*20\/12. Put 1, j, 5, 8 in decreasing order.\nAnswer: 8, 5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5885748241?\nAnswer: 653, 1009, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1444 - 634 - 440)*(-1 + p + 1 + (0 + 0 - 2)*(4*p - 6*p + 4*p) + 1 - 1 - p + 2*p - 4*p + 0*p - 5*p - 858 + 858).\nAnswer: -4070*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -824 + 824. Let i = -0.4 - -0.1. Let j = 0.1 - 2.1. Which is the nearest to i? (a) j (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - z + 1. Let f be h(0). Let j(o) = 3*o - 1. Let v be j(f). Solve 4*b + 2*k = -18, -10 = 3*b - b + v*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 - 31490*l + 41404112 = 0?\nAnswer: 1448, 14297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391425561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12133 (base 5) to base 3.\nAnswer: 1021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -79485*a. Let r(c) = c**2. What is g(r(y))?\nAnswer: -79485*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 449\/6 - 75. What is the closest to 2\/3 in f, -0.3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + a + 2 = 9, -b - a + 1 = 0. Let j be 6285\/10 + b\/4. Suppose -3*o + j = -3*x, 2*o - o + x - 212 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/33 + 6305*86\/(-12298))*(-1)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 169?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -385*c**3 + 8*c**2 + 8*c + 4. Let l(u) = 384*u**3 - 6*u**2 - 6*u - 3. Determine -3*g(d) - 4*l(d).\nAnswer: -381*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 1. Let k be ((-8)\/(-10))\/((-6)\/(-15)). Let j(m) = 30*m**2 - 33. Let s(v) = k*j(v) - 66*d(v). Let w(l) = 3*l. Determine s(w(b)).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -1) + (-9 - (-1 - -15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 6}. Give prob of sequence aaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2864 = 3*u + 2*u, -8 = -2*r. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000066735643 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6612.5 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1890 and 37\/462.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.34 - 0.34. Let h = -51\/4 - -13. Let g be 7\/(-6) + 1\/(-3). Sort h, g, f in decreasing order.\nAnswer: f, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 94. Suppose -382 = -2*z - b*j, 4*j - 674 - 281 = -5*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.2, 0.121 in descending order.\nAnswer: 1.2, 0.2, 0.121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71\/5? (a) -4 (b) -132 (c) 4.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by 110.\nAnswer: 47\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22305350 is divided by 259.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 4591, 0.01, 7.\nAnswer: 0.01, 4, 5, 7, 4591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 45239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307 - 305. Let c(n) = 2*n**3 - 3*n**2 + 3*n + 3. Give c(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Let f = 246.8 - 249.8. Put f, u, -0.09 in ascending order.\nAnswer: f, -0.09, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/90 + 5*c**4\/54 - 4*c**3\/27 + 28*c. Factor a(n).\nAnswer: -2*n*(n - 4)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 + 6 = 0. Calculate the remainder when 51 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 35. Let f(d) = -d + 6. Calculate -35*f(o) + 6*k(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-132)\/((-28)\/56 - (-10)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -117*y**5\/5 + 3*y**4\/4 - 182*y**3\/3 - 1181. What is the third derivative of h(s) wrt s?\nAnswer: -2808*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/48 and 31\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153.1896 and 0.16?\nAnswer: 153.0296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2299412 by 4.\nAnswer: 574853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 285.65613 months?\nAnswer: 23.8046775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(60)\/sqrt(192).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7170, 0, -1, 181 in decreasing order.\nAnswer: 7170, 181, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13228085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3336 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, q: 2}. What is prob of picking 3 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17493 and 151062?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13249083*h**5 + 83902*h**2 - 44?\nAnswer: 794944980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 11*d. Suppose d = 14*x + 6*x - 60. Solve -4*w = -5*w + 4*k + 9, x = -3*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w - 61. Determine s(13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3217610 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2586\/43 or -59?\nAnswer: -2586\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*n. Suppose -4*q - 29 = -3*u, 4*q = 3*u + 2*q - 19. Suppose 0 = -3*g + u + 21. 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 f be (-1605)\/75 - 2\/(-5). Suppose 2*d + 87 = 13. Let n = f - d. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146276992 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/3 - (-9)\/6. Suppose 171 = 3*t - y*i, 0*t + 57 = t + i. Let v = t + -11. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071335611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197220851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -1, -156, 10 in increasing order.\nAnswer: -156, -1, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l + 1\/8*l**2 + 1\/6*l**3 + 1\/16*l**4 - 53. Solve v(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwzzzwswzswsezzzze. What is prob of picking 1 w, 1 z, and 1 e?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o, r + 5*o = 2*r + 6. Solve 2*s - 3*s = 4*c - 18, 0 = -s + r*c - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k. Suppose 10 = -3*v + 4*y + 4, 2*y - 10 = -2*v. Let n(h) = 4*h**v - 6*h + 3*h + 2*h + 2*h. What is d(l) + n(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqnnnqqqnnnnqq. What is prob of picking 2 q and 2 n?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 - (37 - 29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 18. Sort 4, -6, a in ascending order.\nAnswer: -6, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15641.35+0.527\nAnswer: -15640.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101009*h**4 + 10*h + 40627?\nAnswer: -1212108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:16 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2599 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 2*z**3 + 2*z**2 + 2*z**2 - 2*z**2 as v*z**2 + i*z + s + h*z**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:33 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -18.4. Let n = c - -1.1. What is the nearest to 0.02 in -2, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**7\/11340 - c**6\/1620 + 29*c**4\/2 + 171*c. Let g(f) be the third derivative of l(f). Determine b, given that g(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = -13*o + 3062. Suppose 0*d + 885 = 5*x - 5*d, 0 = x + 3*d - o. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -184, -162, -122, -58, 36, 166?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 151, -1, 4, 1, 2 in ascending order.\nAnswer: -5, -1, 1, 2, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(30\/100)*(-18)\/7956*17.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 1406\/15?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-64)\/(-4) - 2. Let v be 5\/r*-3*-5. Solve l + 0*l - 4*w + 5 = 0, -3*w + 8 = -v*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1362 = -8*m, -104*z + 108*z - 506 = 3*m. Let i(y) = -y**3 - 5*y**2 + y + 1. Let w be i(-5). Sort w, m, 0 in decreasing order.\nAnswer: 0, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332baa (base 14) to base 15.\nAnswer: 2447c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596628 divided by -4.\nAnswer: 149157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1893 - -1893. Let s(z) = z**2 - 2*z - 70. Calculate s(t).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9319 is divided by 144.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4)\/6 + (-6)\/((-18)\/137)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 3*g**4 - 3*g**4 + (-7 + 44 - 14)*(4*g**5 + 3*g**5 - 5*g**5).\nAnswer: 44*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70512, -70149, -69786, -69423, -69060, -68697?\n\"Answer: 363*s - 70875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2422 - 2406. Solve 20*b = 24*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2268, 2 in descending order.\nAnswer: 2268, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/15 - x**5\/20 - 3*x**4 - 58*x. Find the third derivative of j(z) wrt z.\nAnswer: -48*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 6. Let q be (-15)\/10 + (-31)\/(-2). Suppose -4*o = 2 + q. Which is the nearest to w? (a) -3 (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 1:02 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 81561107*0.4\nAnswer: 32624442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65086464 to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/39*1*2. Suppose 0 = g - 5 + 1. Suppose -g*r = 2*v + 10 - 2, 10 = v - 5*r. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83421 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-53 + (45 - 12)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/48 + d**3\/12 + 3*d. Factor q(o).\nAnswer: -o*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*j = -508*j + 8310. What is the greatest common divisor of 162 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11753792, 23507589, 35261386, 47015183, 58768980?\nAnswer: 70522777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/2046*31*72\/198.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12) - 1\/(-1)*0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.65889 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccwcwwwcuccc. What is prob of sequence cu?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104122 + n + 208246 - 104118 - n - 2*n**2.\nAnswer: -2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/2097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367526581 and 4417?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(13)*-2*-4.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95557 nanometers in centimeters?\nAnswer: 0.000000195557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33546 divided by -2?\nAnswer: 16773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -21. Is (a\/2)\/(24\/320) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 165, 166, 169, 174?\n\"Answer: k**2 - 2*k + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3027 - 1630. Let c = b + -1464.7. What is c rounded to the nearest integer?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163039?\nAnswer: 19, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/5 + 219*w**3\/5 - 468*w**2 + 8976*w\/5 - 11712\/5.\nAnswer: -3*(w - 61)*(w - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 9) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1.1. Let x = -8 + 9. Let l = 0.9 - x. Which is the third smallest value? (a) 15 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 11. What is the nearest to -2\/3 in g, 4, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -46659, 75 in increasing order.\nAnswer: -46659, 0, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137325 and -0.07.\nAnswer: -9612.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1, h: 1, v: 1, z: 1, d: 1}. Give prob of sequence ez.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1728822012 and 4164?\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -999 or -10973\/11?\nAnswer: -10973\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -o, -o = 3*f - 0*f. Suppose o = 2*l - 36. Calculate the smallest common multiple of (-3)\/((-1)\/(16\/3)) and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4231 - 4256) + (-7 - 0) + 2 + -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4630863*k + 2 - 2 + 4241906*k.\nAnswer: 8872769*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + (1*sqrt(98) + 0)**2 + 4 + (2*sqrt(98))**2)*-1.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 48*x**3 - 42*x**2 - 5*x + 3090. Let a(p) = -p**3 + 6*p**2 + p - 20. Let b(u) = 3*a(u) + s(u). What is the first derivative of b(v) wrt v?\nAnswer: 135*v**2 - 48*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2 and 41\/46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*b**3\/2 + 12*b**2 + 2*b.\nAnswer: -b*(b - 2)*(13*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 20. Let d = 47 - u. Sort 1, 1\/3, d.\nAnswer: 1\/3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15585 or 2\/9?\nAnswer: -15585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(16*u - 52*u + 24*u)*(2 + 1 - 1) to the form b + q*u and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293474.\nAnswer: 2, 3, 7, 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 13 + -31 - -16) + -8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 486*c**3*g**2 - 4*c**3*g - 57*c**2 + c*g**2 - 9*g**2 wrt c.\nAnswer: 2916*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 3*l, -5*r + 5*l - 66 + 61 = 0. What is the fourth biggest value in r, 4, -2\/3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 53*r + 117. What is j(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/4 + 15*t**2 + 183*t\/4 - 585\/2 = 0.\nAnswer: -13, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -44) + -15 - -6 - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/5 + 51711*y\/5 + 36110124\/5 = 0.\nAnswer: -51003, -708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-3.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5740.8 + -2\nAnswer: 5738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-304035)\/(2 - 7))\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*c*q**2 - 4404*b*c*q - 4*b*c - 2*b*q**2 + b*q + b - 6*c + 432*q**2 - 153*q + 334 wrt c.\nAnswer: 3*b*q**2 - 4404*b*q - 4*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 12. List the prime factors of o\/4 - (1 + -135).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5*(-44)\/(-385) - (-10338)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4422 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 30 = -3*h, -h + 10 = 5*x - 0*x. Let y = -147 - -184. Calculate the remainder when y is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -2114?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1738 - -0.5?\nAnswer: -1737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 31 = 2*f + 19*z, -5*z = 4*f - 61. Solve f*b - 82 = -26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/3 (b) -0.2 (c) -0.4 (d) -0.08155 (e) 0.4 (f) -34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.65 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let w(k) = -23*k + 127*k - 23*k - 6 - 33*k - 37*k. What is w(o(j))?\nAnswer: -11*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**3 + 12*n**3 - 12*n**3 + ((3 - 1 - 1)*(3*n + 0*n - n) + 0*n - 5*n + 4*n)*(-29*n - 13*n**2 + 7*n**2 + 4*n**2 + 2).\nAnswer: 11*n**3 - 29*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11012210110?\nAnswer: -11012210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b + 55. Let o = b + -16. Suppose 160 = 4*k + k - w, -k + 5*w + 8 = o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18049595?\nAnswer: 5, 23, 31, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1072 + 1076. Let i(r) be the first derivative of r**4\/4 - r**3 - 3*r**2 + 2*r + 1. Calculate i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**18*i**6 assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 5}. What is prob of sequence ccf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**2*d*x + 74*a**2 - 3*a*x + 1230*d*x - 3*x - 1 wrt d.\nAnswer: -5*a**2*x + 1230*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + p)*(-4 - 4 + 6) - 14372 + 14372 + 62*p + (-4 - 1 + 3)*(2*p + p - 4*p).\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 276306, 276301, 276294, 276285?\n\"Answer: -c**2 - 2*c + 276309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75a + 6851?\nAnswer: 72ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 141\/12 - ((-477)\/(-9) - 43). Let m*j**4 + 1\/4*j**5 + 7\/4*j**3 - 19\/4*j**2 + 5 - 4*j = 0. Calculate j.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/56033 + 19107263\/280165. Let n = p - 68. Which is the third biggest value? (a) 1\/2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-2 + 9 - 1) - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3134188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 881*y**2 + 8556*y + 2077920.\nAnswer: -(y - 52)*(y + 45)*(y + 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + 6 - (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 3*n + 15. Let g be q(-5). Suppose 7 = x - 2*r, 0*x + 2*r = -x + 3. Calculate the lowest common multiple of x and 2 + (-2)\/5 + 60\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370667517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60651 = -1238*z - 1399*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*l + 4*c + 7, 2*l = 4*c + 22. Find the second derivative of -7*d**5 + d + 0*d + 9*d**l wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**5 + 0 + 0*a**3 - a + 0*a**2 + 1\/10*a**6 + 1\/12*a**4. What is the third derivative of j(f) wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*d - 2*g - 38, -d + g + 6 = 0. Let x be (-3 + 2)*(-60)\/12. Suppose 3*f + 3*t = 3, 2*f - 1 - x = -4*t. Sort d, -4, f.\nAnswer: -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14363070 divided by 2872614?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1912097, -3824171, -5736249, -7648331, -9560417, -11472507, -13384601?\nAnswer: -15296699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f - 1. Let b(c) = -c**2 + 4*c. Let t be 3*8\/6 + -9. Let m(n) = t*g(n) + 4*b(n). Let v(z) = -2*z**2 - 3*z - 14. What is -8*m(l) - 3*v(l)?\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -37. Is 8\/t - (-74)\/14 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 623 = -385. Let y be (n + 0)\/(-6*10\/(-60)). Calculate the highest common factor of 35 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729 + 1170. Let l = z - 441.2. Which is greater: -54\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 33 = 5*q. Suppose 4*m - 1 = 51. Let b = m + q. Calculate the remainder when 7 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -6. Suppose 0*y = 4*b - 2*y + 24, 3*b - 2*y = -s. Let o be 4\/(-5)*20\/b. Solve 3*a - a + o = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2246 divided by -2.\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0984009799 - 5.\nAnswer: -4.9015990201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*s = 250*s + 1 - 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 52. Let q = x - -36. Let p be (-2)\/(-1) - (-3 + 1). Solve -p*v = v + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236625921 a multiple of 5982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(5 + 99\/(-22))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5066226 by 2533113.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 17*z - 50. Calculate m(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78075 and 224.\nAnswer: -77851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2172013 by -2.\nAnswer: -2172013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7)*(m*m\/m**(-2\/17)*m)\/m)\/((m*m**(-5))\/((m**(2\/13)\/m*m)\/m*m)))\/(m\/(m\/m**(2\/15)*m)*m*m*m**4\/m*m*m*m*(m**(-1))**(-43)) assuming m is positive.\nAnswer: m**(-1027759\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545745 is divided by 369.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1226450*i**3 + 7830*i**2 - i wrt i.\nAnswer: 7358700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 91238841 times 0.07\nAnswer: 6386718.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -1\/120*u**6 - 1\/60*u**5 + 0*u + 0*u**3 + 0 + 0*u**4 + 2*u**2. Solve i(f) = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83564843*o + 76064557 wrt o?\nAnswer: 83564843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Let u(m) = 5*m**3 - 4*m**2 + 4. Let h be (-56)\/(-10) + (-1)\/(15\/9). Let i(r) = 6*r**3 - 5*r**2 + 5. Determine g*i(w) + h*u(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 49 = -0*w + d, -4*d = -27*w - 17*w - 0*w + 1000 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 12\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r + 2*o - 2, 2*r + 2*o + 8 = 0. Let p(f) = -35*f + 9. List the prime factors of p(r).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 4*o + 19. Let t(k) = 2*k**2 - 4*k - 17. Give -4*c(g) - 5*t(g).\nAnswer: 2*g**2 + 4*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 744*f - 11573. Give z(-15).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 9) to base 10\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 1. Let g(z) = 3*z - 2. Let q be (-6 + (-138)\/(-24))*-12. Suppose -113 = -2*i - 109. Calculate i*m(l) + q*g(l).\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 252324834.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600) - sqrt(5600)*3)\/(sqrt(72)*4).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/106 and 2 + (6 - 9889\/1254).\nAnswer: 6042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 84. Let v(f) = f**2 + 23*f - 152. What is the remainder when 503 is divided by v(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 0.1\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6) + (44\/510)\/(21\/(-420)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1054, 1206, 1396, 1642, 1962, 2374?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**3 + 123*q**2 - 520*q - 15. Give n(4).\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 12. Let w = 225 - 136. Let j = -86 + w. Solve -3*q - j = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*l - 1772*l + 513*l - 2*l**2 + 418*l + 421*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152619.\nAnswer: 3, 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, c: 4, w: 9}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8264 is divided by 4114.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/6 + n**2 - 129*n. Let w(q) = 6*q - 5*q - 2*q - 3. Calculate 7*b(m) + 4*w(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5922807 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -43. Let o(k) = k**3 - 5*k**2 + 3*k + 2. Determine o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/30*p**6 + 8\/3*p**3 + 0*p + 0 - 1\/5*p**5 - p**2 + 0*p**4. Let b(s) = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/2)*s))**24\/(s**(-4)*s\/s**2))\/((s*(s*s\/(s\/(((s**(2\/7)\/s)\/s)\/s)))\/s*s**1)\/(s**(1\/5)*s**(-2\/7))) assuming s is positive.\nAnswer: s**(-223\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 16768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -4 (c) 148 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77640349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*j = -7*j, 0 = -4*j. Suppose f + f = q. Let v be (-5)\/(-10)*(8 + f). Solve -v*b + 1 + 23 = -d, 3*d - 3*b = -27 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4235*o - 3142*o + 16100*o + 3 + 15358*o)*(1 - 3 + 4).\nAnswer: 65102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802929825 to the power of 1\/2, to the nearest integer?\nAnswer: 76177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j + 121. What is w(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3\/7 - 523748*c**2 - 3142472*c - 29329696\/7 = 0?\nAnswer: -916553, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvccyyyyyyyyv. Give prob of sequence vv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125125 and 1658800.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13741342 divided by 2638?\nAnswer: 5209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.053, 0.01, -0.4 in increasing order.\nAnswer: -16.053, -0.4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2454528 and 250368?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - l. Let t(r) = -5*r**2 - 50*r + 1. Calculate 4*j(a) + t(a).\nAnswer: 3*a**2 - 54*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*185\/333?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from tddxdxzddxddzxdxxtd?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (315\/14)\/((-6)\/(-80)). Let v(o) = -72*o - 2691. Let u be v(-38). What is the highest common divisor of u and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = -6*l + 328 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743836?\nAnswer: 2, 185959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126269 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:46 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21603?\nAnswer: 3, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 2*j**2 - 3*j - 1. Let d be p(-3). Suppose -3*c - 3*n + 4*n = 7, 0 = 2*c + 5*n - 1. Let g be (-1)\/(-21) + c\/(-7). Are d and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 0 - q**4 + 6166*q**3 + q + q - 6105*q**3 - 2 to the form x*q**3 + m*q**4 + b + i*q + r*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sassstgstsgtssaast. Give prob of picking 2 s and 1 a.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16459074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-12))\/((-30)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(128) - (0 + sqrt(128))*-4).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 15*h - 192. Calculate the remainder when h is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000010101010101 (base 2) to base 4.\nAnswer: -320111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + 59*v + 85. Calculate h(-10).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13455 is divided by 354.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -22, 42, 138, 260, 402, 558, 722?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23101419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/4 - 71439*z**3\/4 - 6093241*z**2\/2 + 6164682*z = 0?\nAnswer: -71268, -173, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30120 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4857857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 14) to base 16.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from olnlbxow?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75900)\/(-2) + (3 - 1). Let t be (3\/110)\/((-12)\/p). Let d = 449\/5 + t. Find the common denominator of -41 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-1))\/(5 + -4). Let t = -1 - y. Calculate the least common multiple of (-130)\/(-6) + 1\/3 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 575, -3, -3\/5, 0.4, -52?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.6 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -26 - (227 + -212) - 9) + -52.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 - 355. Let d(k) = -k - 3. Let f(i) = 89*i + 250. Let p(v) = q*d(v) + f(v). Find the first derivative of p(a) wrt a.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 8ba08?\nAnswer: -8ba08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5.345 + 11.2\nAnswer: 5.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 1990*q**2 + 5935*q + 3950.\nAnswer: 5*(q + 1)*(q + 2)*(q + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*s + 55*s - 3 - 5 + 492*s**2 - 494*s**2.\nAnswer: -2*s**2 - 313*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*q + 55*q - 176. Let -4\/3*b**q + 0 + 8*b = 0. Calculate b.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*t**4 + 8*t**5 + 21*t - 5*t**5 + 67*t**2 - 30 - 22*t**3 - 25*t**2 - 13*t**3 + 11*t**3 = 0. What is t?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10508 + 126227\/12. Let h = 45319\/22 - 2061. What is the common denominator of h and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - -1.5. Let q(x) = -7*x - 2*x + 7*x - 3 - 10. Let y be q(-7). Which is the closest to k? (a) y (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = c - 37, 185 = 79*c - 74*c + x. Which is smaller: 30 or c?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -25\/186?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 782963 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 + 35*n. Let u(v) = v**2 + 7*v. Let k(j) = -2*d(j) + 11*u(j). Let y be k(7). Which is the nearest to y? (a) 2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 396508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 59, -2092 in increasing order.\nAnswer: -2092, 0, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(-2*sqrt(28)\/sqrt(4)) - 2*(sqrt(171) + (-1*sqrt(171) - sqrt(171)))\/sqrt(9))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1551 + 1568. Suppose 2*d + 11 = -4*s + 35, 4*s - 24 = d. What is the derivative of -12 + s*b - 25*b - w*b + 7*b wrt b?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoygrghyygsrgr. Give prob of sequence ryh.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/29 (b) -170 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 2*h)*(1 + 2 - 5) + (2 + 4 - 5)*(4*h + h + 0*h) - 2 + 3*h + 2 + 0*h + 2*h - h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1372 plus -845042?\nAnswer: -845041.8628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let o(c) = -6*c + 947. Calculate k(o(u)).\nAnswer: -6*u + 947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 723.1745 micrometers?\nAnswer: 0.7231745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9177 is divided by 241?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from wohkosks?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*n - 7*i - 11, -5*n = -3*i - 14. Let l be (-4)\/10 - 6\/10. What is the nearest to 0.3 in -2\/3, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*d + 70, -122 = -4*x + 3*d + 2*d. Suppose -5*l - 2*w + x = -141, 5*l = 4*w + 192. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13946970 a multiple of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1499 or -19478\/13?\nAnswer: -1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64288152 by -210092.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 27*n**4\/4 - 6*n**3 + 9*n**2 - 143. Let v(u) = u**3 - u**2 + u. Calculate -h(l) + 18*v(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*j + 62*j**2 + 232*j + 65*j**2 + 118*j - 129*j**2 as m*j**2 + v + o*j and give o.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0 + 1 - 2*w - 2 + w**2. Let c be r(-1). Suppose -5*a - 13 = c, -3*o = -2*a - 33. What is the lowest common multiple of 1 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-123)\/(-75) - (2 - -1). Let n be 1 - (-296)\/150 - 3. Let q = j - n. Which is the smallest value? (a) 0 (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*o + 5 = 0, 3*o - 1 = -k - k. Suppose -j - 5*t + 9 = -27, 0 = k*j - 5*t - 30. Differentiate -16 - j + 21 + 5*s**3 wrt s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 - 26*z - 62. Calculate l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:53 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 59 = -49. Factor 2*m**v - 3*m + 5*m - 6*m + 2*m**3.\nAnswer: 2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 5*n - 0, 3*n - 18 = -3*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 - x + 18. Let l be ((-1)\/3 - (-4)\/(-15))*(37 + -47). Give q(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**4 - 20*z**3 + 10*z**2 + 20*z - 15 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01488886432 to seven decimal places.\nAnswer: 0.0148889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 103 = 31. Let v = 28 + k. Suppose 46 = v*o + 38. Solve -1 = -3*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(sqrt(275) + 2) + -4 - (sqrt(275) - sqrt(275)*-2*3 - 1*(sqrt(275) + sqrt(275) + -2 - sqrt(275))))**2.\nAnswer: 10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**2 + 4*r + 2. Let w be z(-3). Does 6 divide (-4)\/6 + w\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k + 2. Let z be t(8). Suppose -m = -6*m - b - 61, 4*m + z = -2*b. Let n be (-1)\/4 + (-13200003)\/m. What is n rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16565 + -9935. Does 51 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 129 = 58 + 143 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1120779405 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let k = 3 - -2. Suppose -i = 5*s - 16, -4 = -k*s + 2*i + 24. Which is the smallest value? (a) s (b) 4\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 + 2*w + 4. Calculate m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 4\/15, -0.5, 0.1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4727472 - 2?\nAnswer: 4727470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1809\/35 + -359\/7. Put 3\/7, -0.01, -16, i in decreasing order.\nAnswer: 3\/7, i, -0.01, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -g - 0*g + 4, -4*v - 1 = g. Let p(u) = -u + 4. Let j(h) = -7 + 14 - 8. What is v*p(b) - 3*j(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 4, z: 7}. What is prob of sequence aaz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, -23 in decreasing order.\nAnswer: -1, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c127b (base 13) in base 2?\nAnswer: -10101110111101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, w: 1}. Give prob of picking 1 u and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*g + 124*g = -1, 3*o - 2*g + 7 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(8\/12)*56\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54270803\/295 - -183969. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094327083 rounded to 7 dps?\nAnswer: 0.0000943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 0\/2 - 2. Suppose -g = 3*f + 6, -3*v + 2*f = -53. Suppose 3*a + 42 = 174. What is the remainder when a is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -37 - 23 - (2 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.2, 0.007, -1, 3\/2 in ascending order.\nAnswer: -1, 0.007, 0.2, 1.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 5. Let k(x) = -5*x. Let p = -110 + 159. What is the remainder when p is divided by k(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*1*(1 + 0). Let n be ((-90)\/21)\/(w\/49). Let t be (n\/(-12))\/((-1)\/(-2)). Solve -2*j = 1 + t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.675 (b) 0.1 (c) -9 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-10) + -8 + 7 + (-24)\/(-3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 97. Let v be g(-17). Suppose 30*n - 35*n + v = 0. Which is bigger: n or 13\/16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 2 + 3)*(-4 + 1 + 2) - 9 - 5 + 5)*(3 - 2*h - 3) to t + j*h and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1243 - 1207. What is the greatest common divisor of h and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 726 - -4?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 54*n**2 + 17*n + 15. What is the tens digit of b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*k = -3*u + 111, -4*k - 178 = -5*u. Let o = 40 - u. Solve o*h = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 31*y + 19. Calculate i(-6).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313 is divided by 430.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*t**5 + 699*t**3*u + 192*t*u + 3*t - 3*u - 1 wrt t.\nAnswer: -200*t**3 + 4194*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 + 193499205*l**2 - 193499200*l = 0. Calculate l.\nAnswer: 0, 1, 38699840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:23 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 3*i + 3*i + (0*i + 3*i + 0*i)*(-10*i**3 + 3 - 3).\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*a + 76, 3*a = 5*f - 52 - 20. What is the highest common factor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from ioniiioioniiinin?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 285091520 <= 285091522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:04 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*d = 1, -d + 0*d = f - 2. Suppose 3*s + 2 + 4 = 5*q, -4*q - 4*s + 24 = 0. Solve -f*y + 5*k - 29 = y, 2*y - 13 = -q*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1129, 1127, 1125, 1123, 1121, 1119?\n\"Answer: -2*y + 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730 times 6?\nAnswer: 10380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + (1 + -1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(144\/(-30)) + (-5)\/(-15). Suppose j - 2*x + 4*x = 17, -y*x = 2*j - 24. Solve n - j = -11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7554.274nm in micrometers?\nAnswer: 7.554274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 88*o**2 - 86*o**2 + 264*o**2 - 90*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 3, 0.157 in decreasing order.\nAnswer: 7, 5, 3, 0.157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742466207 to the nearest integer?\nAnswer: 27248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -41. Suppose -11 = -2*o + t, -4*o = -2*t + 5*t - m. Suppose -2 = -o*l + 3. Solve 0 = 2*w + 1 + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**6\/120 + g**5\/15 - g**4\/24 + g**3\/2 - 3*g**2\/2 - 1. Let x(m) be the second derivative of w(m). Give x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*v + 17337, 19*v + 23089 = 23*v + f. Is 52 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1692 and 3787260.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 13209?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*p - 925*p + 1059*p.\nAnswer: -202*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*x - 34, 3*q + 7*x = 10*x + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tchhvvvtcvvhh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 12*v + 9. Let i(n) = 4*n + 3. Let c(j) = -8*i(j) + 3*u(j). Give c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/54 + 101\/378. Factor h*d**3 - 1\/7*d**4 + 0 + 0*d + 0*d**2.\nAnswer: -d**3*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j = 40. Calculate the greatest common divisor of 88 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 32*q**2 - 27*q + 11. Calculate the remainder when j(4) is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -5. Let k(d) = -49*d**2 - 7*d - 8. Let f be k(-1). Let n be -4*(f\/p)\/(-5). Sort -5, n, 4 in ascending order.\nAnswer: -5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) + (11 - 128\/24). Suppose -2 = 5*s + 8. Let f be (-2)\/(-6)*(-12)\/s. Solve -a*o = f*l - 6*l + 36, -2*l - 4 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*s - 114. Let a be 22\/44*(-1*2 + 4). Let w be 22*(2\/3 - a\/6). What is the greatest common factor of s and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145859*w - 73244*w + 4*w**3 - 3 + 4 - 73248*w to the form l*w**3 + a*w + f*w**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99773323.\nAnswer: 13, 17, 661, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**3 + 16*n + 16. Let u(x) = x**2 + 10*x - 112. Let q be u(-16). Let c(g) = 3*g**3 + 5*g + 5. Calculate q*c(y) + 5*r(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.129 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -21. Let h = 8.0009 + y. What is h rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 749 + 846. Suppose -11*l + g = -6*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*p + 30, 3*p + 19 = 5*z + 3. Solve a - 2*n = 3*a - 2, 0 = p*a - 2*n - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 + 50*y + 8. What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.03 from 3143.4187.\nAnswer: 3140.3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*z + 15 = q, 9 = -3*z. Let s be (-2)\/4 - 42*(-3)\/12. Suppose -s = -p + q. 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: List the prime factors of 1772919.\nAnswer: 3, 196991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*873\/582*(-42)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -19*z**6\/10 + z**5\/20 + 5*z**4\/4 - z**3\/3 + 9*z + 4. What is the third derivative of l(m) wrt m?\nAnswer: -1368*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 0*h**2 + 0*h**2 + h**2. Let i(m) be the first derivative of m**2 + 0*m**2 + 3 - 1 - 1. Give i(f(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 7. Suppose -y*l + 64 = -12. Let c = 32 - l. Calculate the remainder when 23 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25177510 divided by 1\nAnswer: 25177510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6348)\/314226)\/((-8)\/(-22))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 2, a: 1, p: 2, g: 1}. What is prob of sequence pa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45775 - -1.41253. Round r to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/(14\/8). Let g = 43.5 + -44. Which is the second smallest value? (a) 5 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/7 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (-15)\/33*(-2214)\/205?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -30. Suppose v + d*v - 318 = 4*x, 5*v + 3*x = 339. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14*a - 2*k - 10 = 0, 0 = -4*a - 3*k + 31. Solve -6*w + 3*q = -3*w - 6, -a*w - 12 = q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.640442mg?\nAnswer: 0.002640442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.107 * 0.143.\nAnswer: -0.301301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -1\/3*g**3 - 5\/24*g**4 + 0 - 1\/20*g**5 + 3*g**2 + 1\/8*g**6 + 0*g. Let s be d(4). Round s to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 56. Let x be j(18). Let u(t) = -6*t**2 - 11*t - 31. Let l(q) = q**2 + 2*q + 6. Give x*u(v) - 11*l(v).\nAnswer: v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345747238.\nAnswer: 2, 823, 210053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1350345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*y - 2 - 2, 0 = y + 5*n + 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*(-3325)\/1995.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27906 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:36 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 1, w: 1, f: 1, i: 1, r: 1}. What is prob of sequence ci?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 100*r - 187. Is 14 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*w + 2*n, 7*n - 4*n = -5*w + 185. Let r = w + 164. Calculate the greatest common divisor of r and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 0*x**2 - x**2)*(126 - 33 + 45)*(-5 - 10 - 6).\nAnswer: -8694*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - h**3 + 39 - h**3 + 4*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-249)\/(-166))\/(18\/14)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 89.795. Let h = u - 0.3078. Round h to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 4, x: 3, r: 2, p: 2}. What is prob of picking 1 j and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from zeee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 189819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1033 + -34. Suppose 34*s - 37*s + b = 0. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/5 - 269*r**4\/5 + 17683*r**3\/5 + 54673*r**2\/5 + 55216*r\/5 + 18496\/5.\nAnswer: (r - 136)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s = 40. Suppose 3*z + 2*t = s, -2*z + 4*t + 16 + 0 = 0. Let x(c) = c + c + c**3 - 4 + 2 + z*c**2. Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121538481 to the power of 1\/3, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5))**(-7\/4) assuming l is positive.\nAnswer: l**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -2, -1.1, 1\/7.\nAnswer: -12, -2, -1.1, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2928952 and -71\/5125666.\nAnswer: 20502664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 3. Let t be m(-2). Suppose 5*u + 27 = t*x - 38, 0 = 3*x - 5*u - 43. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 390\/(-20)*8\/6. Let x = r - -35. Is 1944\/x - (1 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696986 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/16, 3, 4, 2\/25 in ascending order.\nAnswer: -1\/16, 2\/25, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.2, 0.1, 2\/15, 1659.9, -2\/9?\nAnswer: 1659.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 924.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c + 8*c - 3*c)*(-841*c - 888*c - 853*c) to r + z*c + o*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2235969519 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261342.\nAnswer: 2, 3, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 3 - 259*c**2.\nAnswer: -259*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 = 3*l, 2*d + 0*d = l + 7. Let j be 68\/20 + (-2)\/5. Suppose j*s - 4*s = 0. Solve 3*q + d + 1 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1155.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -3, 1\/5, -54, -70?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2820 = 10208. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*-1007.\nAnswer: -72504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16451 + -16446. Solve -5*j = -i + 17, 29*j - i + z = 28*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7265.9 times -0.38?\nAnswer: -2761.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 114*w - w**2 - 114*w. Let m(u) = -4*u**2 + 5*u - 5. Let v(x) = 6*x**2 - 8*x + 8. Let j(p) = 8*m(p) + 5*v(p). Determine j(n(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 4*q + 1. Let w = -8 + 13. What is p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqppppp. What is prob of picking 2 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 173177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzz. Give prob of picking 3 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 - 123825609.\nAnswer: -123826275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1564 and 4?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1605918.73 and -409.1?\nAnswer: 1605509.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 110, 4, 0, -4, -3 in increasing order.\nAnswer: -4, -3, 0, 2, 4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135000, -134997, -134994, -134991, -134988?\nAnswer: -134985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let b(j) be the first derivative of -2*j**3 + 7. Determine b(g(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v - 3. Let u(a) = a. Let l(z) = g(z) + u(z). Let s(k) = -k. Give l(s(p)).\nAnswer: 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 201 - 9?\nAnswer: 1f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 559512 and 2012280?\nAnswer: 114699960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-40)\/12)*2. Let k(h) = h**3 + 2*h**2. Let n(p) = -p + 11. Let t be n(11). Let d be k(t). What is the closest to d in 1\/3, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/2 + 3)*4. Suppose -73 = -5*v - 2*a, -a = -q*v - v + 35. Calculate the remainder when (-8)\/(-6)*(-18)\/(-1) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 42620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whichgir. Give prob of sequence igiw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336312 + 336309. Let t = 18.09 + -18. What is the third smallest value in t, 1.2, l?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 376 = -280. What is the greatest common factor of 150 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6964 is divided by 304?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-8)*-226)\/(2\/(-8)) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2.9, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -2 - (-29 - -48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 114*f - 216*f**3 + 4*f**2 - 115*f. Let t be p(1). Let s = -100 - t. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1 + (0 - 0). Suppose 31 - 25 = 3*g. Let w be (-4)\/10 + 2\/5. Solve w = -g*u - 2*c - 6, -7 = -b*u + 4*c - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9042006 divided by 537.\nAnswer: -16838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 146?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 15 = 5*a. Solve 0 = -5*h + 18 + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:23 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -b09?\nAnswer: acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 6\/(-7)*21\/(-18)*2. Let m(t) be the first derivative of 4*t - 20 + 0*t**r + 17\/3*t**3. What is the first derivative of m(g) wrt g?\nAnswer: 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 7. Let q be n(-3). Let f = -6 - q. Suppose f*a - d = 3423, -5*a + 908 = 2*d - 2521. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 1 - (2 - 2). Suppose -3*g = u - 127, -15 - 38 = -g + t*u. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 27 = -2*x, 8*w = 9*w - 2*x - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-150))\/(8\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5. Let q be g(0). Suppose 0 = 5*h + 2*w + 3*w - q, -h - 11 = 5*w. Suppose -2*d + 20 - h = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t - 568*t - 53897 - 19297 = 610*t for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -149. Let c(w) = -4*w**3 + 2*w**2 - 12*w - 43. Let f be c(m). Put -1, f, -5 in increasing order.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 2\/3, 1\/3, -2\/23, 1115\/14, -69?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 27*a - 90. Give h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/6 - 5*a**2\/2 - 4*a. Let c be (-234)\/(-48) - 1\/(-8). Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115654715.\nAnswer: 5, 11, 137, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y = y + 12*y - 189. Let l(m) be the second derivative of 0 + 0*m**y - 39*m + 19*m**2 - 7\/2*m**4. Differentiate l(b) with respect to b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*(-3)\/(-1). Suppose 3*n - 60 = o - 4*o, -n - r*o + 24 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let a be 2\/(4\/(-6) - d). Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q**2 + 51*q - 21. Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**3 + 69*x**2 + 21*x - 90. What is b(9)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-22 - 1300\/(-60))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 2*x**2 + 3*x. Determine k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 2:39 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -12 + 3 - 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -0.5037.\nAnswer: 6.5481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1)*1 + 2. Suppose 2*v - 4*d = -h, -4*v = -2*d - d + 3. Which is the biggest value? (a) v (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6980405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*b**2*h - 2*b**2 - 10*h + 6 wrt b?\nAnswer: 18*b*h - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/4)*k*k*k\/(k\/(k**(-6\/5)*k))*(k**4*k)\/((k**(4\/7)\/k)\/k)*((k*k**0)\/k*k)**(-1\/22)*k**(-1\/5)*k**(-2\/11) assuming k is positive.\nAnswer: k**(11629\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2166 + 2170. Solve 3*d - f*t + 18 = 0, -4*d = t - 5*t + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**17*b)\/b*b\/(b**(-2\/35)*b)*b\/(b\/(b\/b**(-14)))*b*b*b**41*b assuming b is positive.\nAnswer: b**(2697\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 11*g + 12. Let u be p(12). Let b be -2*((-138)\/48 + 9\/u). Solve 0 = -6*a + b*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:37 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 804901, 804891, 804875, 804853?\n\"Answer: -3*c**2 - c + 804905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 - (-10 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 230, 460, 744, 1076?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1143, 0, -2\/7, 5, -4 in decreasing order.\nAnswer: 5, 0, -0.1143, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 2208*n**2 + 50*n + 27592. Determine q(-552).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12588 times -0.3\nAnswer: 3776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1386283, 1386284, 1386285?\n\"Answer: j + 1386282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 28*i**4\/3 + 22*i**3\/3 - 32*i**2\/3 - 8*i = 0.\nAnswer: -3, -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120221 (base 4) to base 5.\nAnswer: -303034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -7 (c) -1\/11 (d) 12 (e) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(275) + (-1*sqrt(275) + -5 - sqrt(275)))**2 + 1 + (sqrt(275)*-2)**2 + -1)*-4*-4.\nAnswer: 1280*sqrt(11) + 23024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/13 (b) -5 (c) 9 (d) 2\/5 (e) -2\/1457\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, -z + 15 = 9*b - 4*b. Let u(y) be the second derivative of -1\/5*y**2 - 1\/30*y**b + 0 + 1\/60*y**4 + 3*y. Determine f, given that u(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -37*m - 6. Let f(z) = -37*z - 5. Calculate -4*b(y) + 5*f(y).\nAnswer: -37*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 2, r: 7, m: 7}. What is prob of sequence aaxr?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -116003.\nAnswer: -116003.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (2 + 6 + -6). Solve -4*l - a = -6*a + n, -l = -a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128742010 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 83 - 155 = 0. Suppose 2*k + 20 = -0*k. Let g = k + 8. Which is the closest to 2\/3? (a) r (b) 2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 0.022, 0.25, 2\/9, 0, -4?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -103.\nAnswer: -17\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 38*x - 13. Let v be n(-33). Suppose -124 - v = -12*r. Solve 5*o - 2 - 3 = 0, -5*d + 3*o - r = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2872862 - -2872868. Let v be (-2)\/8 + 9\/4. Let w(p) = -5*p + p - p**3 - 3 - 1 + 7*p**v. What is w(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393620024.\nAnswer: 2, 7, 71, 98999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:50 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c - 47 = -x, -x + 39 = 3*c. Calculate the remainder when x is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 - 2*t + 6. Let y(i) = 17*i**3 + 3*i - 13. Suppose -5*x = k + 5 + 31, 3*k + 18 = 0. Determine x*y(s) - 13*l(s).\nAnswer: 2*s**3 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u + 164 - 78 - 86. Let y(v) = 22*v. What is b(y(o))?\nAnswer: 154*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 - -137. Suppose -3*l = -x*d + 30, -4*l = -3*d + 30 - 4. Let w = -4 - -4. Which is the closest to w? (a) d (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.9365302 minutes?\nAnswer: 0.00620592375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.995 - 47. Let h = c - -0.005112. What is h rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 0*a**2)*(14 - 6 + 15*a - 10).\nAnswer: -30*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173035.8 decades to years.\nAnswer: 1730358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 8*y - 10. Let q(z) = -z**2 - 2. Let o(r) = -2*q(r) + w(r). Let g be 14\/(0 + 2) + 1. What is o(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + 6 - 1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p**5\/6 - 58*p**4 + 78538*p**3 + 27516952*p**2\/3 - 21330176*p + 5343744 = 0. What is p?\nAnswer: -168, 2\/7, 2, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 10:33 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 270\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 25*y + 98. Let d be l(4). What is the highest common factor of d and 1240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/4 - 13*t**3\/4 - 15*t**2\/2 = 0. Calculate t.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707*a + 17539*a**5 - 376*a - 18958*a**5 wrt a?\nAnswer: -28380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 45 = 3*r + 104, -40 = 5*m - 3*r for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t + 4*t)*(-55*t + 148*t - 645*t) + (-3 - 3 + 4)*(2*t - 2*t - 2*t**2).\nAnswer: 556*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6\/7))\/((s\/(s**(-8)*s)*s)\/s))**22\/((s\/((s*(s\/(s\/s**(-6))*s)\/s)\/s))\/(s\/s**1)*s\/s**7*s*s*s\/(s\/(s*(s*s**(-5)*s)\/s))) assuming s is positive.\nAnswer: s**(-1210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + -0.5. Let d = k + 3.1. Which is the nearest to -1? (a) d (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 669, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -21399817.\nAnswer: -21399817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 8*o + 155. Let n = 34 - o. Suppose -3*p - 296 = -5*l, 3*l + n*p = 5*p + 178. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -57*b**2 - 10*b - 6. Let w(y) = -y**2 + 2*y + 1. Let a(d) = -l(d) - 6*w(d). What is the remainder when a(-1) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13416816 a multiple of 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/(-252)*(-27)\/(-15))\/((-18)\/(-84))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76.5, -4, -16287?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37 - 3\/(-1))\/1. Let h = r - -37. Let s(o) = o**2 + o - 4. Determine s(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 6 (b) 0.2 (c) 2 (d) -0.1 (e) -80 (f) 3294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-15)*(0 + 6). Solve -4*a - 6 = -5*c, 3*c + b*a = 2 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*k + 7 = 0, 0 = -g + 2*k + 89 - 98 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 56 = 4*l, 0 = 3*l + 6. Calculate the least common multiple of 44 and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303162 (base 14) to base 10.\nAnswer: -1621986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -32.9. Let z = 2.7 + w. What is the closest to 1 in -1\/3, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - y - 5*w + 15 = 0, y = -w + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6548 + ((-9)\/(-10) - 1\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 2. Let p be a(-2). Is (6\/4)\/((-1)\/p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-4))\/(3\/12). Let g(u) = 9*u**2 - 131*u - 7. Let l(p) = -14*p**2 + 207*p + 11. Let v(y) = -11*g(y) - 7*l(y). Give v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 5*c - 3. Give o(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgpun. What is prob of sequence ppu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = -9. Suppose 3*m - n = -0. Let p be 1\/(m - (2 + -2)). Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/1660131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.66068 litres?\nAnswer: 56660.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/12)\/5*56\/20.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 386.\nAnswer: 48\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.55 + -23.95. Which is the second biggest value? (a) -44 (b) z (c) 1\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*h - 3*h - 5, 2*v - 4*h = 28. Suppose -135 = -5*o - 5*b, 113 = -0*o + v*o + 3*b. Suppose 2*t - o = -x - 5, t = 5*x + 30. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542907874 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*j - 28, -3*c - 5*j + 3*j + 22 = 0. Solve -w - 15 - 8 = 4*z, -c*z - 2*w - 26 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232\/145*27\/18*(-70)\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 2 e when four letters picked without replacement from nenunnenneunnnnnnun?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11450 (base 7) in base 14?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1318930*c**5*j + 5*c**2 - 1814*j - 48 wrt c.\nAnswer: 79135800*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*v + 2)*(1 - 3 + 0) - 2*v + 24 + 2*v - v to s*v + a and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4) + (-9)\/(-18). Differentiate 7 - 10*w + y*w - 4*w with respect to w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*2*sqrt(22))\/(2*sqrt(176) + sqrt(891) + 2*sqrt(891)).\nAnswer: -72*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/3 and (((-711)\/6)\/(-3) + -2)\/(-84).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 2, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 7. Let h be (-2)\/1 - z*75. Let w = -42 + h. Solve m = -p - 2*p - 13, 3*m - w = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/((-2)\/(-45)). Let b = o - 27. Let t(v) = -7*v - 7. What are the prime factors of t(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55507754 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 5*v + v. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n - 12. Let p be x(-9). Suppose -9*y = p*y - 6*y. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 9) in base 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {q: 3, u: 2, g: 3, m: 2, f: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -618*t**3 + 48218*t**2\/3 - 246946*t\/3 + 1862\/3 = 0?\nAnswer: 7\/927, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2049, -2, 27, 3 in descending order.\nAnswer: 27, 3, 1, -2, -2049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 73611, -4 in descending order.\nAnswer: 73611, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9955 is divided by 906.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 1525.\nAnswer: 9150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17960406+-0.5\nAnswer: 17960405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 219966 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.1 and -102065.\nAnswer: -4705196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -10 + -12 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -207, -4, -0.6, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -848*c**5\/5 - 18*c**2 + 597. What is the second derivative of u(o) wrt o?\nAnswer: -10176*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 751389222 to the nearest one hundred thousand.\nAnswer: 751400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g + 24. Let k(p) = -2*p - 1. Let v(a) = 2*k(a) - 2*l(a). Let q(n) = 9*n**2. What is q(v(b))?\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -154*k + 34. Let b(z) = 33740 - 14*z - 67483 + 33746. Determine 68*b(i) - 6*d(i).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035985997 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12)*x**7)**(1\/4)\/(x**(-11)*x\/x**(-7))**(1\/71) assuming x is positive.\nAnswer: x**(-68\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:45 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 14 = -2*f, -o - 2*f + 12 = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1031362239 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skksqhjjkkshkcj. What is prob of picking 1 h and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 77 - 6\/2*-1. Let t = q - 60. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 9\/4, -2\/13, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 3498568\nAnswer: 174928400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 35 = 2*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188239550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8077 or -8092?\nAnswer: -8077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -41, -39, -37, -35, -33?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002215 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -5, -3, -8.4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -291*h**2 - 19*h + 84. Let z(o) = o**2 - 3*o. Let x(k) = -a(k) + 6*z(k). What is the second derivative of x(i) wrt i?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 18 + 28)*(14*m**2 + 22 - 22) to n*m + v*m**2 + i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 664513958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 123582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpa when four letters picked without replacement from {a: 1, o: 4, p: 6, v: 2, b: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, 5, 14 in ascending order.\nAnswer: 2, 5, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -28 and -33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -96. Let g = 37 - v. Solve g*b - 1 - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/4 + x**3 + 10*x. Factor c(y).\nAnswer: 3*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/165 and -121\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + i - 9 = -5*s, s = -2*i + 3. Suppose 0 = -5*g + 7 + 13. Suppose 0 = 4*o + 2*j - 4, s*j - 2 = g*j. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*a - 1. Let m(j) = -j**3 - 7*j**2 - 3. Let c be m(a). Let g be (-11)\/c - (-1)\/3. Solve -15 = g*k - 3*n, 1 = -4*n + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -67, -53, -39?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 3*w - 3*w + (3 - 2*w - 3)*(w + w + 0*w) - 3 + 11 + 26*w**2 - 6.\nAnswer: 20*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 13 = 2*s, 4*s = 103*b - 96*b - 29 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/245 - -1712\/735. Which is the fourth smallest value? (a) 4 (b) f (c) 2\/21 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) - -1 - (-58 + 62).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1b?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -291257 and 1.18873?\nAnswer: 291258.18873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 307.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55837157 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.705 rounded to one decimal place?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.13663084 to 3 dps.\nAnswer: 8.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(7\/((-252)\/8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35916, 71763, 107612, 143463, 179316?\nAnswer: 215171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 126\/48)\/(3\/(-2)). Which is the closest to 1\/3? (a) -5 (b) p (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 178, 376, 648, 994, 1414?\n\"Answer: 37*g**2 + 13*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5086 and 29267738.\nAnswer: 29267737.4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 796 = -4*g, 18*d - d - 5*g = 3443. Solve -d = 31*z - 82*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*w**4 + w**3 - w + 3897?\nAnswer: -300*w**3 + 3*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2903*l**4 + 2*l**3 - 2*l**2 + 10003.\nAnswer: -11612*l**3 + 6*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6 + 18. Let x(d) = -d**3 + 5*d**2 - 2*d - 1. Let g be x(b). Calculate the greatest common factor of g and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/90*9*(1 - 58\/2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*b**2 - 4\/5*b + 24\/5.\nAnswer: -4*(b - 2)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -4. Let o be (-1)\/(-3) + 147\/(-9). Let c be ((-4)\/o + -1)*-4. Solve -c*f - 8 = x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -21*p + 5. Let u(y) = 118*y - 28. Let k(m) = -5*u(m) - 28*x(m). Let s(j) = 3151*j**2. What is k(s(o))?\nAnswer: -6302*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60120552 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/14)\/(1\/21*(-308)\/(-88))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35997339.\nAnswer: 3, 7, 1714159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 1. Let o(a) = -4. What is 2*o(l) - 10*q(l)?\nAnswer: -20*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3656 + 3657. Let k(x) = -2 + 1 - 3*x + x. What is k(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + 119. Let c = j - 8. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 55 + 285. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:29 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -50. Let m = 93 - 71. Is m less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6412*h*s**3 - 4089*h*s + 12*s**3 + 8*s**2 - 1 wrt s.\nAnswer: -38472*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:21 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335302 to the power of 1\/2, to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 6) to base 13.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 4. Let m be z(2). Suppose m*x = x - 2. Let l(s) = -2*s**2 - 3*s + s**2 + 0*s**2 + 1. Calculate l(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10880 - 1279 = 3*h, 0 = -3*v + 2*h + 36505. What are the prime factors of v?\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*d**3 + 4972*d**2 + 1059489*d.\nAnswer: 1440*d + 9944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6398873m to micrometers.\nAnswer: 639887.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a + 19. Calculate c(57).\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-7))\/((-5)\/35). Let z = -32 - -27. What is the fourth biggest value in 3, z, i, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-14 - (8 + -18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + 2 - 2*s**2 + 0*s**2 + 2*s**4 + 61*s - 60*s to the form w*s**2 + c + d*s + v*s**3 + y*s**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 279 + -28. Suppose 395 = k - d. Suppose -k - 340 = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7476 = -3*m - 5*g, -21*m - g + 12460 = -16*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let l = 15 + c. What is the remainder when 51 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -99091705?\nAnswer: 99091705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from uuucuuccuu?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 66*l**2 - 22*l + 715. Is k(68) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 33710723?\nAnswer: 33710730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31244 is divided by 428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9060 - 9033. Calculate the least common multiple of l and 295.\nAnswer: 7965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1331836*v**4 - 62695*v - 5 wrt v.\nAnswer: -15982032*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51\/481 (b) -0.1 (c) -2 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7*1)\/(2\/6). Let l = -254 + 256. Solve 4*b + c = -4*r - 7, -l*b + r = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9496.636 minutes to milliseconds.\nAnswer: 569798160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21353732 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d + 12. Let h(z) = -z**3 - 18*z**2 + 132*z + 72. Let f be h(6). What is the second biggest value in 0.2, f, -124, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6221*h - 6223*h + 422 = 0. Solve -h*i = -205*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 19*o = -3*j + 51, -2*j = -3*o + 17. Suppose 0 = -w + 2*w - 17. Let t = w - o. Calculate the remainder when 23 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 89 = 3*x, a + 4*x = 4*a - 48. Suppose -a*l = -22*l + 13204. Suppose 2*v - l = -4*w, 11416 = 5*w + v + 3162. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 102*i\/11 + 196\/11.\nAnswer: 2*(i + 2)*(i + 49)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 1866, 4486, 8336, 13500, 20062?\nAnswer: 28106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.21407 hours to weeks.\nAnswer: 1.65008375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:31 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*m - 4*m - 40, 0 = m - 5*w + 10. Let o = -29 - m. Sort 0, o, 5 in decreasing order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 6645475\/221 and 30070 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3 (c) -8368 (d) 1\/420 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -23. Calculate the greatest common factor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 - 5*w - 20. Let g be a(6). Let d = 161 + g. Solve 0 = 2*j + 5*v - 18, -d*v + 11 + 0 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396382513 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 2 = 0. Suppose -c = -s*c + 20. Let h(k) = k**2 + 2*k - 1. Let q be h(1). Solve 5*w = -o - q*o + 2, -2*w = -4*o + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123\/(-39) - (-4)\/26. Are f and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 2*y + 3*y)*(-2 + 4 - 1)*(-y**2 - 4*y**2 + 0*y**2) as f*y + n + k*y**3 + b*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + 73.01. Let l = -73.4 + r. Sort -0.03, l, 4 in ascending order.\nAnswer: l, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 5*i - 4. Suppose 12 = -q - 2*q. Let m be (-12)\/q - (-2 - -2). Let u = m + 0. Let d(v) = v**2 + 6*v + 5. Calculate u*d(b) + 4*y(b).\nAnswer: -b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + n**2 + 6 - 5*n**2 in the form i*n**2 + g*n + m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*b - 286, 2*h + 0*h - 5*b = 121. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*p - 11600 = -934*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8631*k = -8636*k - 28, 8*p - k = 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*k + 40 - 102*k**2 + 106*k**2 - 45*k.\nAnswer: 4*(k - 5)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 702 and 557388?\nAnswer: 557388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103785429 to the nearest integer?\nAnswer: 10188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 37*w**4 - 78*w**4 + 39*w**4 - 149 as s + x*w + a*w**3 + q*w**4 + j*w**2 and give s.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 22.3. What is the second biggest value in a, 2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7624959893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19979 and -1428?\nAnswer: -28530012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*l**3 + 23*l**3 + 50*l**3)*(-3 + 3 - 2)*(-8 + 10 - 4 - 57*l) to u*l**2 + o*l**4 + g*l + b*l**3 + h and give o.\nAnswer: 7182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 245*m + 154*m + 61*m + 175*m + (1 - 4 + 2)*(0*m + 4*m - 2*m) + 0 - 2*m + 0.\nAnswer: 633*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*r + 798 = -315*r. Suppose -132*l + r*l = 13. Solve l*q - 26 = 39 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*u + 108*j**3 + j**2 + 320*u wrt j.\nAnswer: -6*j**2*u + 324*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001702 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + -2 + 6 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20136 is divided by 325.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 160, 576, 1388, 2728, 4728?\nAnswer: 7520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -37. Solve 2*z = 2*h + h + g, 4*z = -3*h - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 3279\/20860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 846, 1, 4 in descending order.\nAnswer: 846, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219951 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177137150 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243562 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -0.3 (c) -2.8 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128\/9*w - 20\/9*w**3 - 128\/9 + 8\/3*w**2 - 4\/9*w**4 = 0. What is w?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42574\/501 + -52\/167. Let u = o + -86. Which is the second biggest value? (a) 0.5 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51243419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 69*r + 730 = 4396 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1410)\/(-20))\/(-47)*-14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 6. Let w be a(-9). Let o = -1 + w. Sort 8, o, 4 in decreasing order.\nAnswer: 8, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6630625*w**2 - 10300*w - 4.\nAnswer: -(2575*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46064853 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 - (-1 + 11 + 2499\/(-189)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 + -678?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:13 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-1 - (-18)\/19). Let k be (6 + -4)*(-34)\/(-152). Let m = k + q. Which is the third smallest value? (a) -3\/2 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 50*n - 4. Suppose 4*j = f, 4*j = -3*f + 2*f + 8. What is the tens digit of t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osogbyb. Give prob of sequence gob.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10*o - 4 = 0. Let a be ((-1)\/o)\/((-9)\/36). Put -1\/3, 4, a in decreasing order.\nAnswer: 4, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -25, -36676, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, 0, -3, -5, -25, -36676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177 - -159.3. Let x = 18 + y. Which is the closest to -2? (a) 3 (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.8 - -86.8. Which is the fourth biggest value? (a) -0.5 (b) 3\/2 (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/12 + n**3\/6 + 2*n**2 + n. Let w(q) = -2*q**2 - 11*q + 6. Let v be w(-6). Determine g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j - 3. Let g be b(2). Sort g, 7, 1.\nAnswer: g, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1952460 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25453601 and 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*d**5 - 3263745*d**4 - 7292145*d**3 + 7757865*d**2 + 763074*d = 0 for d.\nAnswer: -3, -1\/11, 0, 6\/7, 14131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 11*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -26 + (94 - -14)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((-264)\/(-6))*10\/(-7)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/12)\/(((-7)\/784)\/(859\/(-12026)))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 54*c - 28*c + 6*c**2 - 27*c - 2*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 - 4 - 3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395 + 397. Let k(t) be the first derivative of 3*t + 7\/3*t**3 + 0*t**2 - f. Differentiate k(i) with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 38*s**2 + 84*s.\nAnswer: -2*s*(s - 21)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1602?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/2*8\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 10) to base 14.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -113. Let k = f + -29. Suppose -v - 204 = -k*v. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69695, 556402, 1877467, 4450070, 8691391, 15018610, 23848907?\nAnswer: 35599462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(12 - 2). Let h(c) = -5*c - 3*c**3 + c**3 - 7 + c**3 + 6*c**2. What is h(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 27*f**2 - 25*f - 14. What is the remainder when 323 is divided by q(26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 692*x**3 + 7256*x**2 - 20848*x + 18144.\nAnswer: 4*(x - 162)*(x - 7)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*g - 19 = 1, 3*k + 8 = -2*g. Let n = -419 + 9635\/23. Let w = -19\/46 + n. Is w greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740600 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-56875.\nAnswer: 227500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 858927 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 2. Let l be r(-3). Let p be -2*(19 + -1)\/(-2). Suppose 4*b - p = 3*o, -6*b - 1 = -3*b + 5*o. Solve b*u - 22 = -l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10316 - 3?\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2088 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + -18. Let w = -7 - z. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -181*v - 1114. What is w(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 929 divide 218315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-315))\/(0 - (-1)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 8. Let j be w(6). Suppose 0*h = -2*h + j. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**43*g*g**24 assuming g is positive.\nAnswer: g**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053270783 rounded to 6 decimal places?\nAnswer: -0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**3 - 241*k**2 - 1703*k + 113. Calculate y(-19).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/5)\/j))**47*j**(-8\/3)\/j**(2\/87) assuming j is positive.\nAnswer: j**(11877\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2. Let s(f) = -22*f. Calculate s(m(y)).\nAnswer: 110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9240 + 6402 = 11*z. Calculate the smallest common multiple of z and 1580.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**9\/7560 + a**5\/60 + a**4\/6 - 2*a. Let b(c) be the third derivative of f(c). What is the derivative of b(n) wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 not equal to 253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -904 and -92921119568?\nAnswer: 92921118664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 35?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -24, -19, -12, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-24))\/(875\/1000) + 640\/(-1050)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 107. Suppose 5*w + 1 - 11 = 0. Suppose 54 = w*d + d. Calculate the greatest common factor of y and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/11 - 16\/55. Let r = 14.6 - 9.6. Let n = 0 - 0. Sort f, r, n in increasing order.\nAnswer: n, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -25. Let j be (16\/c)\/((-10)\/(-225)). Calculate the greatest common divisor of j and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.53 + 0.5. Let n = m + 2.03. Let f = n + -1. Is f less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d - 5*h + 160, -d + 36 = 3*h. What is the smallest common multiple of 78 and d?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*u = -37772, -16*v - 18896 = -18*v - 6*u. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 13*r**2 - 17*r - 18. Determine p(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281 and 567?\nAnswer: 34587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 155 = -164. Solve -6*c + 27 = b*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 8 + 66 - 10)*(-11*f - 15*f + 2*f)*(-18 + 5 - 21) to q*f**2 + l + x*f and give q.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 11*u**2 - u - 4. Calculate i(-6).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 49c3?\nAnswer: -49c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780, -781, -782?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2\/1291 (b) 62 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 - 3*d - d + 4*d.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6318739?\nAnswer: 7, 902677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -3.658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.03, -3\/457, 0.061 in descending order.\nAnswer: 0.061, -3\/457, -0.03, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 484512627 a multiple of 1937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbbbnnnbb. Give prob of sequence bnnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11239, -22644, -34049, -45454?\n\"Answer: -11405*s + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 16. Let q be u(6). Let v be (-13)\/(-364) + (-1)\/q. Let m = -4 - 0. Which is the closest to m? (a) v (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-6)*1)\/((-26)\/91)*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.377 + -0.7.\nAnswer: 0.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01640356 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2520 and -71\/12.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490527.\nAnswer: 3, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 2\/15 (b) -0.7 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3500 divided by 41.\nAnswer: -3500\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -159, -391, -717?\n\"Answer: -47*m**2 + 3*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -73 (b) -4 (c) 8250 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10679 divided by -2\nAnswer: 10679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21)\/w)**(-1\/37) assuming w is positive.\nAnswer: w**(19\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/580 and (0 + 185\/(-4350))\/(24\/30).\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(4\/9))\/l*l**(-4)*l**4\/(l\/(l**(-2)*l)) assuming l is positive.\nAnswer: l**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 5*q**2 - 2*q - 1. Let j(t) = 3*t**3 + 11*t**2 + 5*t + 1. Determine 2*j(z) + 5*x(z).\nAnswer: z**3 - 3*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 30 = -2*v, 0 = 4*n + 5*v + 5. Suppose 0 = -p + n*p - 64. Suppose 14*x + 880 = 19*x. What is the highest common divisor of x and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 32. Let u be ((-18)\/(-30) + -1)\/(w\/(-5)). What is the third derivative of 13*s**u + 38*s**4 - s**2 + 30*s**5 - 38*s**4 wrt s?\nAnswer: 1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40901838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 21 + 75 = 0. Let t be z\/18*(-4)\/(-10). What is the second smallest value in 1, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82881 or 2\/2377?\nAnswer: 2\/2377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 243220353*l**3 + 426416637 wrt l?\nAnswer: 729661059*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 7*w**2 + 5*w + 10. Let h be s(6). Suppose h*q = b + 4, 3*q + 2*b = -0*b + 14. Let f(j) = j - 4*j - 4*j - q. Calculate f(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 + 5352*r**2 - 7160976*r + 3193795296.\nAnswer: -4*(r - 1338)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/69 - 2*(-4)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*x + 314*x - 44*x + 434*x + 659*x to h*x + z and give h.\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2 - 238*s - 1366. Calculate r(-47).\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 1)*(5 - 5 - 5*l**2) - 4*l**2 + 4*l**2 + 2*l**2 as m*l + o + i*l**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 32*f + 8. Let v(u) = u**2 - 16*u + 31. Let p be v(12). What is the units digit of a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 2}. What is prob of sequence xxz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. Let c be k(0). Let x be 3\/(-6)*(c - 0). Is (26\/2 - x) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 982, 2228, 3976, 6226, 8978, 12232?\nAnswer: 15988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = 17. Suppose 0 = -t*u + 3*u + 140. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2484564 divided by -1242282\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9941532 millennia to months.\nAnswer: 11929.8384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmzxmzeexzm. What is prob of sequence xzmx?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 2 s when four letters picked without replacement from {y: 1, s: 11, a: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdwwxxwdhxdwchcf. Give prob of sequence xf.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*q + 37143, 5*j + 37*q = 35*q + 61887. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 0*x**2 + 5*x**2 + (2*x - 3 + 3)*(0*x + 4*x - 2*x) + 3*x**2 + 4*x**2 - 4*x**2)*(2 - 3 + 3) as p*x**2 + b*x + a and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -3*n**2 + n - 1. Suppose 2*s - 25 = 3*z, 4*s = -1 - 3. Is m(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**15*o**(-2\/7) assuming o is positive.\nAnswer: o**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -85*x + 79*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 70 = -6*j + 30, 0 = -4*j - 5*o + 139 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -157635920, -157635919, -157635918, -157635917?\n\"Answer: f - 157635921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + 6*(-1 + sqrt(75))*5 + 5)*-3)**2*-2.\nAnswer: -1230138 + 156600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3922302 is divided by 867?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8307 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -14. Suppose l*i - 4 = 3*i. Let p(n) = n + 22. Let t be p(0). Solve -4*a = -4*r - 6 + t, -i*a = 5*r + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 132 + 32 = 0. Let h = -14 - x. Find the third derivative of v**6 - 13*v**2 + v**h + 2*v**2 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159, -323, -489, -657?\n\"Answer: -i**2 - 161*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Let f be b(-2). Differentiate -3*n + 3*n + f - n**4 - 2 wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*f**5*y + 305*f**5 - 51*f**2*y + 279*f**2 + 3*f*y wrt f.\nAnswer: -2040*f**2*y + 18300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26.37921 years?\nAnswer: 0.02637921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -165*g**2 - 327*g + 5. Let i be y(-2). Let a be (-2 + 13)*1\/1. Sort a, i, -2.\nAnswer: -2, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, b: 2}. Give prob of sequence dd.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 29, 68, 133, 230, 365, 544?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322160 by -161080.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 2 (b) -2 (c) 22 (d) 16 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 27 = 4*m - 3*r, 0 = -5*m - 5*r + 55. Calculate the remainder when (-337)\/(-5) - 430\/1075 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -113, 5.6, -9799?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382812224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 12:54 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/60 - n**3\/3 - 6*n**2. Let p = 0 + -3. Let k = -3 - p. Calculate y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkguu. What is prob of sequence uukg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22232 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 62 + 82. Let u be (-6)\/(0 - (1 - -1)). Suppose u*b = 63 + j. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000709606 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:03 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 + -1b90?\nAnswer: -1ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - h**2 - 138*h - 33*h - 77*h - 1 as v + n*h + b*h**2 and give n.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -607 + -579?\nAnswer: -b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -5*390\/(-200))\/((-3)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9428 + -82?\nAnswer: -9510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 4\/3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9))**(3\/20) assuming n is positive.\nAnswer: n**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31320?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(-2 - (-1 - -2)). Let p be -2 + 2 + (-6)\/o. Suppose -3*y - 9 = -x + 6, -5*y = 3*x + 25. Put x, p, -0.4 in decreasing order.\nAnswer: p, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7053\/17 - -415. Let x = -37.7 + 38. Which is the closest to -1? (a) x (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-7)*n)*n**(-3\/8))\/((n\/(n**2\/n))\/(((n*n\/n**4)\/n)\/n)))**(8\/11))**(-48) assuming n is positive.\nAnswer: n**(-1008\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4533.038 to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 - 177*i + 220. Calculate j(16).\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 207792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/15 - 7\/15. Suppose -z - 6 = -0*z. Let s = z - -7. Which is the closest to 1? (a) h (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**3 + 20*t**2 - 3*t - 17. Let v(a) = -2*a**3 - 7*a**2 + a + 6. What is 6*d(k) + 17*v(k)?\nAnswer: 2*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*j + 15383 - 15391, -10*k - 20 = 2*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -3 (c) -1 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 3) to base 7.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1644 + -8219\/5. What is the biggest value in i, -10, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -169*k - 997. What is b(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2. Let l(w) be the first derivative of -106*w**3\/3 + 589. Calculate l(q(o)).\nAnswer: -954*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1424*x - 1560*x - 658 + 2018. What is the smallest common multiple of x and 1\/4 - 3\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9 - 14*c**3 - 6.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 52*b - 35. Let u = 458 - 503. Let c be k(u). What is the greatest common divisor of c and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10816454 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:06 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28268 - -28278.9892. Let t = -0.0108 - v. What is the third smallest value in t, 2, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/2 - 31*j**3\/2 + 67*j**2 - 52*j = 0 for j.\nAnswer: 0, 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 5. Let p = 31 - q. Suppose -4*y - 2*d = -18, y = p*d - 5*d - 3. Is 4 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2220 and 1023948?\nAnswer: 189430380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/9 - -119\/36. Which is the third biggest value? (a) -1 (b) s (c) 1 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917142335 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -24997.\nAnswer: 46\/24997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 + 2*t - 55. Does 16 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60688 divided by 4\nAnswer: -15172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2658239 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 4*u + (0 - 1 - 1)*(0*u + u + u) + 57*u + 499 - 499)*(0 + 2 - 1).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00839739 less than -0.05?\nAnswer: -0.05839739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 12034.\nAnswer: 24068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5341 is divided by 51?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/599676 and -47\/54599072?\nAnswer: 1146580512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*20\/6)\/(4\/(-54)). Suppose -2*b + 11 + s = 0. Let l be 4*(12\/b + (-4)\/(-7)). Is l not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 698 and 436599?\nAnswer: 873198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 1. Let s be f(1). Let x(c) = c**3 - c**2 - 4*c + 2. Let w(y) = y**2 - 2*y. What is the lowest common multiple of w(-2) and x(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**2 - 3*d**2 - d**2 + (5 - 3 - 3)*(4*d - 4*d + d)*(48*d - 27*d + 58*d).\nAnswer: -74*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -194 + 11*u**2 - u**3 - u - 9*u + 200. Give i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 5, n: 7, s: 2}. Give prob of sequence nvyv.\nAnswer: 175\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/2 - 10*n**2 - 25*n + 2. Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 148\/1110 - (-7)\/60 - 163\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Suppose w*n + 18 = 4*h - 2*h, -3*h = 3*n. Suppose 0*y + h*y = 6. Solve 2 = -y*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i = 5796 - 5502 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3.8 (b) -1\/3 (c) 1824 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121648 at most 56\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9412427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 35*c**2 + 41*c + 5. Give h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1012.\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41217443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-20)*(-3 + 1). Let s(r) = r**2 + 2*r + 1. Let i be s(-2). Put -3, i, h in descending order.\nAnswer: h, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1. Let l(i) = 4*i + 4. Let n(f) = 4*g(f) + l(f). Let o(a) be the second derivative of -2*a**3\/3 - 5*a. What is n(o(k))?\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 - 3*z - 4. Let i be s(3). Suppose 10*v - 30*v**3 + 2*v**5 - 59*v**2 + 64*v**2 + i*v**4 + 8*v**5 = 0. Calculate v.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 132 = -2*a - 52, -186 = 4*y + 3*a. Let b be (-1450)\/y - 4\/18. What is the greatest common factor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4253056 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 27, 4, 1, 5, -1005 in decreasing order.\nAnswer: 27, 5, 4, 1, 0, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 125*j - 312. Let k(z) = 250*z - 628. Let q(s) = -4*k(s) + 9*p(s). Differentiate q(h) with respect to h.\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-80)\/90*(-4)\/32\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -5 + (sqrt(6)\/sqrt(2) - sqrt(3)) + 1*sqrt(3)*-5.\nAnswer: -4*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-13 - (-18 + 7)) + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 7*u - 4. Let g be r(4). Calculate the remainder when (-6)\/g*-4 - -63 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 455*o**4 + 8*o**3 - 7*o**2 - 6*o. Let x(y) = -454*y**4 - 7*y**3 + 8*y**2 + 6*y. Let g(n) = -7*d(n) - 8*x(n). Find the third derivative of g(f) wrt f.\nAnswer: 10728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 - 92*g - 17 - 14 + 100*g wrt g?\nAnswer: -3*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -15 (c) 4 (d) 1.1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -828*d**2 - 315919*d + 3434.\nAnswer: -(9*d + 3434)*(92*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -98709*j + 690967. Give l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*t**3 - 50*t**3 + 7*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 42) + (43 - 40) + 17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(90)*6.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271889319.\nAnswer: 3, 13, 761, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254923 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2*sqrt(147) + sqrt(147))) + sqrt(27)\/(sqrt(9)*-2).\nAnswer: -41*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - q**3)*(2 - 2 + 2*q) + 0*q**4 - 4*q**4 + 2*q**4 + 4*q**3 - q**3 + 10*q**4 - 4*q**3.\nAnswer: 12*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 161. Factor 33*m**4 + 135*m**3 - 11*m**2 + l*m**5 + 12*m**4 + 0*m**4 + 146*m**2.\nAnswer: 5*m**2*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25557253 - -4?\nAnswer: 25557257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/88233592 and -18\/55145995.\nAnswer: 441167960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:15 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from hgyryghhhihyh.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 204, 216?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1670 - 3337\/2. Let v(b) be the first derivative of 3 - 1\/3*b**3 - 4*b + u*b**2. What is v(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/420 + 9*l**4\/7 + 424*l**3\/21 - 17*l**2 + 77*l. Solve q(o) = 0 for o.\nAnswer: -212, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32113, -31784, -31447, -31102, -30749?\nAnswer: -30388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 0*z**2 + 0*z**2 - 4*z**2 as b + q*z**2 + t*z and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-69 - (-1 + 2 + 2)). Let j = w - 48. Which is the biggest value? (a) -0.1 (b) j (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -219.576.\nAnswer: -221.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*r - 1073 = 0, 5*x + 4*r = 3*x - 432. Let i = 217 + x. Which is greater: 2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.121 + -1.0381. Let a = c - 0.095. What is a rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 2*l - 5*l - 5*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737\/23 >= 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((1 - 4) + 1). Let y(p) = p**3 - 17*p**2 + 14*p**2 + 0*p**3. Let n be y(0). Which is the nearest to 1\/3? (a) n (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -15797.305698018?\nAnswer: 15799.305698018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 0. Let j = m - 1. Let w be (0 - -1)*j\/13. Which is the closest to 1? (a) 3 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 52870, -2 in decreasing order.\nAnswer: 52870, -2, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-30))\/(((-6)\/(-10))\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than or equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 14. Let v be s(16). Let u(k) = 40*k**2 + 2*k - 2. Let c be u(v). Let m = c - 105. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -32. Let q be (66\/69 + -1)\/((-3)\/6). Sort 1\/4, m, q, -2\/7.\nAnswer: m, -2\/7, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = u + 27, 4*u + 6 = g + u. Suppose -16*c + 11*c = -g. Suppose 3*b - 9 = -2*y, -b - 2*y = -5*y - c. Solve 4*m - 5*x = -19, 0*x = b*m + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - (12 - (264200 + -9 - -12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - b + 29 = 0, 2*b - 14 = 2*h + b. Let q be -2 - (h + 3 + -3). Suppose 0 = q*z - 5*z. Is z equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -3*b + 79 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w + 66*w = 2*v + 1, -5*v + 5*w - 40 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 112 - 62 = 5*c - o + 55, -c + 214*o = 439 + 627 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62787*i**4 + 2497*i**3 + 477031715 with respect to i.\nAnswer: 251148*i**3 + 7491*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 11268. Let b(g) = g. What is b(o(l))?\nAnswer: 2*l - 11268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1651.7426434 and -43?\nAnswer: 1694.7426434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -5*x - h + 2337, 444 = x - 4*h. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-8 - (-2)\/2). Let v(s) = 69 - 149 + 69 + 6*s. Let h(f) = -7*f + 13. Let o(x) = -3*h(x) - 4*v(x). Calculate o(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - -21) + -20 - 39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 898 + -26038\/29. Let s = 46\/87 + n. Let b = 0.2 + -1.2. What is the nearest to s in 0, -3\/4, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(325) + -1*sqrt(325))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 3\/19, 0.5, -340?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3 + 147*i**2 + 5475*i + 5329 = 0.\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-27 + 4) - (4 + 0 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 867 = -4*m, r + 3 = 4. Suppose -w - 84 = -2*h + 3*w, 4*w = -4*h + m. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143000 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30041 - 30040.99984143. Round p to six dps.\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/3 - 19*s**2\/3 + 2*s + 24 = 0. Calculate s.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6. Suppose i + 2*i = -18. Let g(n) = -n - 5. Let q(l) = i*g(l) - 5*p(l). Let d(k) be the third derivative of -k**4\/24 + 268*k**2. Determine q(d(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0569 - 0.06. Round w to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024 divided by 4.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2328 and 101\/8852608.\nAnswer: 26557824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*r - 18, -2*n + 2*r + 2 = 3*n. Let l = -2 + n. Solve 2*x - 4*z - 2 = l, 0*z = -3*x - z + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 9 - 9)*(2 + 0 - 4)*(-3*q**2 + 3 - 3) in the form s + f*q**2 + a*q and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 1. Calculate o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.01 (b) -335\/17 (c) 0.4 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwwvcvwvwcw. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*f - 192*f = -2 - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38*1 + (2 - 1). Let l(b) = -11*b - 64. Let h be l(-7). Calculate the greatest common divisor of h and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:43 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 7 - b**2 + 3*b**2 + 5*b. List the prime factors of f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 387382 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g = 3*b - 12, -4*g + b = 4. Let l(n) = -n**3 - n**2 - n + 4. Let y be l(g). Solve 0 = -2*i - y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(14)\/(-1*sqrt(7)))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 515*j - 6032. Determine x(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 8*z - 6. Let h be (5 - z)*(-286)\/(-88). Solve -10*i + h*i - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2607 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11674, -12800, -13906, -14986, -16034, -17044?\nAnswer: -18010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 5*l - 43*l + 33*l in the form s*l**2 + z*l + g and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from {m: 4, y: 1, c: 1, i: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000843 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a year in months?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*(s**(-1)\/s*s)\/s)\/s)**(1\/2)*((s*s**1\/s*s*s*s)\/s)\/s*s\/(s\/(s**7\/s*s*s)))\/((s\/(s*s**(1\/5)\/s)*s)**(1\/5))**40 assuming s is positive.\nAnswer: s**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (830\/2075)\/(6\/(-5)) - (-68)\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - -59. Let z = u + -103.99759. Round z to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 343, 753, 1429, 2365, 3555, 4993?\n\"Answer: -o**3 + 139*o**2 + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/13 - 70*y**2\/13 - 62*y - 234 = 0.\nAnswer: -13, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 + 98. What is the third biggest value in 0, -76, x?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -96, 2\/11, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/81)\/((-352)\/(-144))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 3*d**2 + 3*d**2)*(1 + 5 - 5)*(-1 - 2 - 1).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409629 + 174*d - 9*d**5 - 409629 wrt d.\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 8*o - 7. Suppose 4*f + 28 = -0*f. Let m be a(f). Does 4 divide (-2 - (m - 0))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 17*v**2. Let u(j) be the second derivative of -j**4\/6 + 8*j. Calculate u(d(w)).\nAnswer: -578*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -16, -12, -8, -4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -6*(sqrt(95) + -1*sqrt(95) + sqrt(95) + sqrt(95)))\/(sqrt(60)\/(sqrt(60)\/sqrt(5))).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364578\/39 + -13 - (-4)\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*51\/85 + 440\/54 + 1.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 19*q**2 - 35*q - 7. Give g(17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1689766 and 3978?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -49*n**3 + 2*n**2 + 13*n + 12. Let f = 359 + -360. What is the units digit of w(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 23082940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/456431 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and -7623.8.\nAnswer: -762380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 1. Let l be x(-1). Suppose -3*f + l = -2*f. Solve 0 = 5*i - f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -23. Suppose p*s = 3*s. Factor 2\/7*w**4 - 2\/7*w**2 + 0*w**3 + 0 + s*w.\nAnswer: 2*w**2*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 + 301. What is the closest to -4\/5 in f, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x + 7*x + 0*x)*(0*x**3 + 5*x**3 - x**3).\nAnswer: 20*x**4 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5\/3 + 806*w**4\/3 + 35890*w**3\/3 + 425194*w**2\/3 + 130036*w = 0.\nAnswer: -354, -29, -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2226826 micrometers to kilometers.\nAnswer: 0.0000000002226826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -227 * 0.4.\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 0*u**2 + u**2)*(-2*u**3 + 2*u**3 + 2*u**3)*(1 + 3 - 2).\nAnswer: 4*u**5 - 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -45e1d?\nAnswer: 45e17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48815412?\nAnswer: 2, 3, 4067951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 170*h + 20. Let c(o) = -57*o - 7. Let l(s) = -57*s - 7. Let b(u) = 6*c(u) - 7*l(u). Let k(g) = -11*b(g) + 4*x(g). Is 36 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b + 3*b. Let x(i) = -i**b - 3 + 3. Let k(c) = -34*c**2 - 14*c. Let j(t) = -7*t**2 - 3*t. Let o(l) = -14*j(l) + 3*k(l). Give o(x(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v**2 - 7*v - 49. Let w(j) = 36*j**2 + 11*j + 73. Let f(q) = 7*p(q) + 5*w(q). Does 71 divide f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*n - 10, -4 = -5*n + 6*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 7) + (-3 - (2 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3. Let n = 37 - 19. Let y be (-110)\/90 - ((-4)\/n)\/1. Let w be u(y). What is the second biggest value in -5, w, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 1. Let y = 2 - 8. Let j(l) = -14*l - 2. Let k(s) = y*j(s) + 17*d(s). What are the prime factors of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939374 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8661 + -69197\/8. What is the common denominator of j and 47\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.32846346778842 - 0.1.\nAnswer: 3.22846346778842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -6543\nAnswer: -261720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564200 and 9800.\nAnswer: 3949400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 529*m - 53*m + 30 - 222*m + 791*m. Let a be l(4). What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 11. Let b(a) be the first derivative of -a**4\/4 - 5*a**3\/3 - 3*a**2\/2 + 2*a - 2. Give b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/19 and 17\/31223.\nAnswer: 593237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2 - 2*m + m**2 - 2*m + 8*m**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240508 - -608?\nAnswer: -239900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -8*l**6\/15 + l**4\/4 - 721*l**2\/2 - 506*l. What is the derivative of b(o) wrt o?\nAnswer: -64*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -401 + 408. Let d(o) = 3*o**3 - 12*o**2 + o - 24. What are the prime factors of d(s)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 11 - 27 + 13. Suppose j - 3*j + 4*n + 20 = 0, -2*j - 1 = 3*n. What is the units digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/88 - (-1762)\/5208) + ((-896)\/496)\/28.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4 - g**2\/2 - 3*g + 4. Let z(o) = -9*o**3 + 2*o + 7. Calculate 7*r(v) + 3*z(v).\nAnswer: v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = -5*v - 0*f, -2*f + 18 = 4*v. Let n = -83.5 + 84. Let j = 5.7 - 5.7. What is the closest to -11\/2 in v, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8923 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 68 + 4*p**2 - 67 + p**2 + (-p + 3*p - 3*p)*(2*p - p + 0*p).\nAnswer: 4*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1405733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 683, 677, 671, 665?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 2\/2 - (-458 + -33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.41 - -12.41. What is the nearest to -1 in -0.077, 1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -510*d + 522*d + 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -4, -3 in ascending order.\nAnswer: -182, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 + 3292*x**3 - 56856*x**2 + 221472*x - 241920 = 0.\nAnswer: -840, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063059 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165\/4177 at most as big as -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2 + 1 + 0). Differentiate t + 0 + 4*g + 0*g - 3*g with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 938 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 83a3 (base 16) to base 6\nAnswer: 420003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5558*a - 5544*a + 11118*a + 2 - 2.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - 3*n)*(-6 - 2 + 1)*(-5 + 6 + 3).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(1\/(-6)). Suppose -r - 3*m = u*m - 27, 3*r + 5*m = 51. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 35141\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -53289, -2.\nAnswer: -53289, -160, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558\/(-20) - (-32)\/10880*-34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276*w**3*y - 14*w**3 + 2081*w - 4*y - 2 wrt w?\nAnswer: -1656*w*y - 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112 (base 3) to base 15.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -76. Find the second derivative of 51*y**3 - 49*y**3 + 20*y**5 - g*y - 5 - 10 wrt y.\nAnswer: 400*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5855 > -23419\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -64. Suppose 3*v - i = -v. What is the greatest common divisor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*s + 491 - 84 = 0, -4*f + 820 = -4*s. What is the smallest value in f, 5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 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: Let j = -0.26096 + 2.26096. Let a = 48 + -6. What is the second smallest value in j, -6, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 1025*x**2 + 3790*x - 91838. What is s(516)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 90 + 54 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 32*r + 47. What is the units digit of i(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004966326 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 214\/910 - (-3)\/5. Let w = d - 9\/13. Sort w, 5, 2\/9.\nAnswer: w, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23292 by -4.\nAnswer: -5823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*g + 30 - 41, -9 = -v - 4*g. Solve d = -2*q - 2, q + 0*q + d = -v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 - 3*d - 11. Let n(p) = 3*p**3 - 2*p - 10. Determine 2*b(i) - 3*n(i).\nAnswer: -i**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1303 - 35132?\nAnswer: -40435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -8 + (-10 - -16). Solve -z*g = 2*g + 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from zzxxxzzxxxzxzzzxxzx?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.01, 0, 36, 2\/9, -3\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 0*k**3 + 937*k**2 - 938*k**2 - 1 - 196*k to the form x*k**3 + b*k**2 + r*k + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-35 - -37)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 0.47. Let a = 7 + -6. Let i = a + 4. Sort p, 2\/3, i.\nAnswer: p, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23429 - -93793\/4. Factor -32 + i*t**3 + 5\/4*t**4 - 56*t + 135\/2*t**2.\nAnswer: (t - 1)*(t + 8)**2*(5*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 17 - 27 - 2*p.\nAnswer: -2*p + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-33)\/(-3) - 60\/135*-15\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -72. Suppose -3*u + 21 = -b. Let x(p) = 7*p**2 - 23*p + 16. Let f be x(3). What is the highest common divisor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 > 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three quarters of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*u = 4 + 2, 10 = 5*a + 5*u. Let m(w) = w**2 + w + 5. Let c be m(a). Suppose c*j = -266 + 766. What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8623, -8629, -8657, -8719, -8827, -8993, -9229?\nAnswer: -9547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1350 + 927*z**4 + 2582 - 53 - 269 + 1554*z**4 wrt z?\nAnswer: 9924*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, n: 4, y: 3, t: 5, x: 3}. What is prob of picking 1 x and 2 o?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14 and 11\/130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/6 - b. Let u(s) be the first derivative of -s**3 + 35*s - 1061. Calculate v(u(r)).\nAnswer: -18*r**4 + 420*r**2 - 2450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/8*o**4 + 33\/4*o**2 + 33\/2*o + 3\/8*o**3 + 9 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 - 2*j**3 + 0*j**3 - 4*j + 9. Let v(p) = -9*p + 182. Let z be v(21). Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/40, 18, 126, 5 in ascending order.\nAnswer: 1\/40, 5, 18, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-36) - (-5)\/((-10)\/4). Suppose 6*z + 1 = 7*z. Let t be -2 - (65\/(-20) + z). Which is the nearest to v? (a) -0.4 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 3*j**2 + 3*j. Let r = -131 + 133. What is s(r)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5429)\/183 - -27)*6\/(-32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 26470*k**2 - 1034696*k - 8973224 = 0.\nAnswer: -26, -13, 13274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-4377.\nAnswer: 131310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147646, 147736, 147886, 148096, 148366?\nAnswer: 148696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465299857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16864 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061552 - 2769236967.\nAnswer: -2769236966.938448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/3)\/(3\/(-9) - (2 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3 = -13. Suppose 207 = 5*o + 3*s, 5*s + 58 = m*o - 0*s. Let c = o + -28. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 85. Let i(j) = 2*j. What is l(i(f))?\nAnswer: -10*f + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 (base 9) in base 14?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210490 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16010 and 199993718.\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09504 to four dps.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let b = 132 - 132. Let x(p) be the third derivative of -2*p**2 + 1\/30*p**5 + b*p + 0 + 0*p**4 + 0*p**3. Determine x(a(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 - 2*p**2 - 7*p**2 - 69706 + 69715 + 7*p**2 + 18*p in the form o + d*p + a*p**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 47. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50187 and 3825?\nAnswer: 63988425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n**3 + 86*n**2 + 784*n + 686. Let d(y) = -y**4 + 80*y**3 - 431*y**2 - 3920*y - 3430. Let q(v) = 4*d(v) + 22*o(v). Factor q(m).\nAnswer: -4*(m - 7)*(m + 1)*(m + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 658, -2611, -9?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -1.02?\nAnswer: 0.1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*1912\/1195?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 477 = 5*v - 92, -2*v = m - 20 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxss when four letters picked without replacement from {n: 1, x: 3, s: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = 0, -2*w - 8*f = -12*f + 8. Solve 4*j + w = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (134 - 113 + 118)*(4*g**4 + 2*g**4 - 4*g**4) in the form s*g**4 + k*g + n*g**2 + f*g**3 + m and give s.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Solve 0 = q + 4*y + y - 6, m = q + 3*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101766 and 12.\nAnswer: 203532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*t - 100, 4*s - 3*t + 68 = -31. Is 6\/s + (-1827)\/(-12) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 11*b**2 - 14*b + 21. Let d be l(12). What are the prime factors of (d + -58)\/(-1) - -2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/40 - 51*y**5\/140 + 3*y**4\/2 - 10*y**3\/7 + 50*y**2. Find i, given that p(i) = 0.\nAnswer: 2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let k = -4 - -6. Let b = k - 1. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -17 + 2*15\/6. What is the units digit of (-6)\/(-4)*((-3320)\/b - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3404928578.\nAnswer: 2, 1702464289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 105.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9385 to 2 decimal places.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/51335, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 12:13 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 147294770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 815661 and 6171.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 960981.2s?\nAnswer: 960981200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33541 is divided by 410?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 45. Suppose 2*l = -4*l + 228. Let r = l + 170. Calculate the greatest common divisor of p and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 6*s + 5. Let z be h(1). Let n(d) be the first derivative of 0*d + z*d**3 - d**2 + 3\/4*d**4 - 3. What is the second derivative of n(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376 + -377. Let y = -85 - -82. Which is the nearest to q? (a) 8 (b) -1 (c) y (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -192 + 194. Differentiate -4 - 110*k + w + 108*k + 24*k**2 - 5 with respect to k.\nAnswer: 48*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.8 - 89.16. Let q = 0.36 + r. Let c = 21.35 + q. Round c to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.14 - 0.1?\nAnswer: 79.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*s**4 + 10*s**3 - s**2 - 18*s + 2009164 wrt s?\nAnswer: 52*s**3 + 30*s**2 - 2*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 - 567576*t + 57899688 = 0. What is t?\nAnswer: -851466, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 5. Let m be p(-4). Let g be 4 + (0 - (-1 + 0)). Suppose m*b = g*b - 46. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 4*s - 4*l - 133, 2*l = 4*s - 222. Let f = s + -37. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 3 + -2)*-1. Let d = 5 - r. Suppose 3*l - s = -29, 0 = 2*l + 7*s - 4*s + 1. Put -3, 1, d, l in ascending order.\nAnswer: l, -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/13 or 75?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 - 88445867*m**3 - 190924369*m**2.\nAnswer: 24*m - 530675202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -284*k + 4270. Calculate d(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 25. Let r be y(6). Solve -7 = 2*j - a + r, -4*j - 4*a = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.96371 hours to seconds.\nAnswer: 280669.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 508033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*b + 3388*b - 226371 - 16473 = -260*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izbv when four letters picked without replacement from {b: 2, z: 6, i: 1, f: 2, v: 7}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*r + 26, 4*r - 484*i + 23 = -483*i for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 + 370. Sort d, -5, -0.29.\nAnswer: -5, -0.29, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 37. Suppose -8*l + 48 + 56 = y. Let j = 19 - 6. Is l bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -216, -165 in descending order.\nAnswer: 7, -3, -165, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 129*l**2 - 10*l - 4840. Determine x(-64).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*o + 0 + 0 + (-4*o + 3*o - 3*o)*(4 - 5 - 3))*(-3 - 2 + 7)*(6 - 1 - 3)*(6 - 3 - 2) to u*o + x and give u.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 29?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)*g*g**(-6)*(g\/((((g\/((g\/((g\/(g\/(g**(-2\/7)\/g)))\/g))\/g))\/g*g)\/g)\/g))**(8\/5))**(-31))**50 assuming g is positive.\nAnswer: g**(-14725\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -215, -444, -817, -1382?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + q + 47 = 0, 59 - 79 = -3*a + 5*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2647.55 - -2678. What is q rounded to 0 dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/6 - (-10)\/(-15). Suppose n - 3 = -3*o, c*n - 4 = -5*o + 4*n. Suppose 4*j - 16 = -2*t, -3*t - 5*j + 20 = -o*t. Is -1\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4723689\/140420 - -9977\/1239. Let i = y + 1078\/51. Let j = -6279\/4 - -1561. Find the common denominator of j and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 16, -c + 5*d - 14 = 0. Let l(z) = 5*z**3 - z - 1 + 7*z**2 + 8*z + z - c*z**3. Determine l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 244, 535, 938, 1453, 2080?\n\"Answer: 56*l**2 + 11*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85407 by -7.\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 240 = 191 - 261 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1924 and 1516593.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b**3 + 514585*b**2 - 836756700*b + 29710027620 = 0 for b.\nAnswer: 581\/16, 3198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*1)\/((-4)\/2976*-62).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 19640.195.\nAnswer: 19640.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 30. Let v be u(-7). Solve -3*z = 4*k - v, 2*k - 1 = 3*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 122*s**2 + 8*s. Let i(f) = 41*f**2 + 3*f. Determine 8*i(b) - 3*u(b).\nAnswer: -3*b**3 - 38*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r**(3\/8))\/(r*r**(-3\/2)*r**6))**(-13\/4) assuming r is positive.\nAnswer: r**(507\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*4)\/((-77)\/(-189)).\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = -4*l - 5*b + 426, 0 = -5*l + 5*b + 965. What is the greatest common factor of 72 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9990 in -3, 5, -1\/33, 4, -2\/5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:11 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2. Suppose 4*r = 1 + 15. Suppose 3*h = 3*s + r + 2, 14 = 5*s + h. Let n(j) = -j**2 - 3*j**2 - j**s. Determine n(k(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**3 + 350*p**2 + 449*p + 46. Let j be i(45). Let v(x) = 2*x**3 - x**2 + 2*x**2 - 8*x**3. Give v(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607725 is divided by 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + m. Suppose 21*g - 168 = 14*g. What is the smallest common multiple of z(-4) and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.008 (c) -5 (d) 2 (e) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 44?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - 0.26.\nAnswer: -31.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 21. Let m be p(9). Suppose v = 3*l - 3, m = -5*v - l + 20. Solve v*k = -2*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16\/9, -87, 1, 1\/7 in descending order.\nAnswer: 1, 1\/7, 0, -16\/9, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(2\/15)\/y)\/(y\/y**5))\/((y**1\/y*y)\/(y**3*y)))**(-2\/61))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 272*j + 544. Let h be c(-2). Let u(d) be the third derivative of -1\/24*d**6 + 0*d**4 - 2*d**2 + h*d + 0*d**3 + 0 + 1\/6*d**5. What is o in u(o) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-13)\/273*7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -13. Let n = -12.8 - i. Sort -3, n, 11 in decreasing order.\nAnswer: 11, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6448092 (base 10) in base 6?\nAnswer: -350112140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473991.\nAnswer: 3, 7, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -2 + 38 + 30 + -4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 4*g + 8 as j + t*g and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 9*t - 13*t + 21*t - 4*t**2 + 5. Let k be g(4). Solve 0 = 3*p + 16 - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 553556 to the nearest one thousand.\nAnswer: 554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/15, 1\/2, -3, -4, -0.5, 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/28*24\/(-72). Which is the second biggest value? (a) u (b) -2\/15 (c) 3 (d) -11 (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 5*c**2 + 3*c**2 + (-4*c + 6*c + 6*c)*(0 + 3 - 5)*(-2*c - 2*c + 5*c).\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*198\/25)\/(27*118\/(-7965)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606202481?\nAnswer: 4357, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b84a (base 13) to base 16.\nAnswer: 63ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -6*i**7\/35 - i**5\/60 - 305*i**3\/6 - 20*i**2 + 6*i. Find the first derivative of z(n) wrt n.\nAnswer: -144*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*n + 2*n**4 - 6*n - 6*n**4 wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32414*c**4 + 32430*c**4 - 10*c + 31*c wrt c?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.00867, 1, -1, -4, 20, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*(-110)\/275.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4. Let h(b) = 30. Let y(j) = -h(j) - 6*m(j). Let s(i) = i - 3. Calculate -6*s(r) + 3*y(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 1, k: 6, a: 3, f: 2, p: 4}. What is prob of sequence efp?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 18*j - 11. Let c = j - -20. Solve -4*r = -c - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55191660 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Let t = l + -5. Let n = 5 + t. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 28*q + 78)*((3*q**2 + 2*q**2 - 7*q**2)*(-2*q**2 - 2 + 2) - q**4 + 0*q**4 - q**4).\nAnswer: 56*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14444443 - -3?\nAnswer: -14444440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**6\/6 + 2*m**5 - 15*m**4\/2 - 100*m**3\/3 - 95*m**2\/2 - 30*m + 125. Determine h so that r(h) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 + 3 = 0. Let j(g) = 1 + 3*g + l*g + g**2 - 3*g. Is j(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*(-10218)\/1048\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 370600000 rounded to the nearest 1000000?\nAnswer: 371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (7 - (-6 + -6 - -2 - (-2 - 3)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from pappapapppppappppapp?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2800))\/((sqrt(132)\/sqrt(3))\/sqrt(11) + sqrt(4)) - ((sqrt(63) + -4 - sqrt(7)) + sqrt(7) - sqrt(7)*-1*-5).\nAnswer: -8*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 17*t**2 + 2*t - 8. Let z(o) = -5*o**3 + 19*o**2 + 2*o - 8. Let r(h) = 6*f(h) - 5*z(h). What is the remainder when 65 is divided by r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 0 + 0. Let p(j) be the second derivative of -j**3\/3 + j. Give p(a(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355\/42 + -49\/6. Let j = -9 - -4. What is the smallest value in -3, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115471570 + -4?\nAnswer: 115471564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 490? (a) -1\/5 (b) 2 (c) 2\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9126, 18254, 27382, 36510?\nAnswer: 45638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 + 10*m**3 - 3*m**3 - 5*m**3 to the form h + b*m**3 + x*m + o*m**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:57 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 + (2 - -40). Let p = h - 10. Let k(f) = -14*f + 371. Let t be k(24). Calculate the highest common divisor of t and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0517726 and -425?\nAnswer: 22.003355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(21\/(-31)) + (-9)\/21. What are the prime factors of (-5 - -4)\/(((-20)\/65)\/a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6868875?\nAnswer: 3, 5, 13, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {f: 2, t: 3, i: 1, w: 1, z: 3, o: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 174, 176, 178?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-399)\/(-114)*(-40)\/(-7). Solve -2*g = -f + 11, 2*g - n = -5*f - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*w = 58, 0 = 2*o - 0*w - 4*w - 16. Let q be (-150)\/o + ((-99)\/(-21) - 5). Let i = -10 + 14. Sort i, q, -4.\nAnswer: q, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n - 7. Let p(k) = -5*k - 2. Determine -2*h(m) + 7*p(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1307754, 1308817, 1310596, 1313097, 1316326?\n\"Answer: t**3 + 352*t**2 + 1307401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -171833, -687319, -1546463, -2749265, -4295725, -6185843?\n\"Answer: -171829*d**2 + d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142873789*q**2 + 13134258?\nAnswer: 285747578*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**7\/21 - 111*g**6\/10 - 565*g**4\/12 - 3*g + 32. What is the third derivative of o(q) wrt q?\nAnswer: 120*q**2 - 7992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l**2 + 2*l**2 - 3*l**2 in the form x + g*l**2 + p*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4448 divided by -139\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 578?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6633 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 6*n - 3. Let v(o) = -o**2 + 3*o - 3. Let m be v(3). Let j(y) = 2*y - 1. Let b be j(m). Calculate the least common multiple of 20 and s(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/14474144 and 21\/64.\nAnswer: 28948288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(1\/(-2)). Suppose w*l - 56 + 23 = 0. Suppose 3*u - r - 23 = 0, -2*u - 2*r = -5 + 3. What is the smallest common multiple of u and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 - 24)*(2*k - 2*k - k)*(0 - 2 + 1) to v + n*k and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 15 - 2*m - 2*m**4 + 0*m**4)*(-4 - 2 + 4)*(8 + 11 - 6) in the form r*m**4 + o*m**2 + q + u*m + w*m**3 and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 619 (c) -0.2 (d) 1\/4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.8 - -2.2. Let t = h + -13.2. Let w = t - -2.2. Sort 1\/4, 2\/13, w in increasing order.\nAnswer: 2\/13, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 597, 1362, 2439?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/4)*n*n**(-32)*n*n assuming n is positive.\nAnswer: n**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 441723 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 = 8. Suppose k*a = 6*a - 5. Suppose -12 = -v + 2*w, -2*w = 3*v + 38 - 98. What is the remainder when v is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1791*w + 1841*w - 1400 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*g + 1 = -4, 0 = -4*v - 4*g + 20. Let h be (1 - 1 - 0) + v. Solve -k = 5, -5 = -h*f + 7*f + 4*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3007\nAnswer: -5\/3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, r: 1, i: 1, w: 2}. What is prob of sequence kwk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k. Let d(z) = -6*z**2. Give d(b(t)).\nAnswer: -384*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 861.042 years?\nAnswer: 0.861042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 23300202?\nAnswer: 23300220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5193251 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13472999*x**3 + 2820806?\nAnswer: 40418997*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -342, -355, -370, -387, -406, -427?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 117. Let o be p(-26). Solve -16*v = -o*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(6\/9))\/(-7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + x - 2. Let h be a(3). Let q = h - 24. Suppose -4*o + 56 = o + 3*t, 4*o + q*t - 48 = 0. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 18, 11, -14, -63, -142, -257, -414?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 21*p**2 + 69*p + 15. Is 73 a factor of n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:53 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -2*sqrt(121)*4 - sqrt(121) - sqrt(121) - 2*sqrt(121)*2)\/(sqrt(22)\/(sqrt(2) - -2*sqrt(288))).\nAnswer: -325*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, g: 2}. What is prob of picking 1 g and 2 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -588620, -588617, -588614?\n\"Answer: 3*t - 588623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5 = 5. Let i(g) be the third derivative of g**7\/1260 - 4*g**5\/5 + 28*g**2. Let s(d) be the third derivative of i(d). Calculate s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 7*o = -4*o - 16, 0 = -2*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000308172 rounded to seven decimal places?\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3745 is divided by 730.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 35 + 24 + 30 - 122 + 33.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/61 - 225\/427. Which is the third smallest value? (a) 0 (b) y (c) -0.4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339016?\nAnswer: 2, 31, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3231 - 22849\/749592. What is the common denominator of -23\/145 and x?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2826*s**2 - 67*s + 3 + 479*s**2 - 2614*s**2 - 67*s + 136*s to the form x + c*s**2 + n*s and give c.\nAnswer: -4961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119210*h**5 + 253897*h**2 wrt h.\nAnswer: -7152600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5*k**2\/2 - 6*k - 280. Give z(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394.19 - -394.18965991. What is s rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -102*u**3 + 1. Let x(y) = 2*y**2 + 39*y + 1. Let l(d) = -28*d**2 - 507*d - 13. Let o(g) = l(g) + 13*x(g). Calculate r(o(v)).\nAnswer: -1224*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/104 + 4\/26. Suppose 4*g + 3*t + 115 = b, -17 = 2*g - 4*t + 35. List the prime factors of (-1016)\/g + 4\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/(-16))\/(46008\/15328 + -3) is divided by 792?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8733\/5229 + 7\/21 + -2. Let i = g + 1152\/2905. What is the closest to 2\/5 in i, 2\/3, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*y**2 - y**2 - 2*y**2 + 0*y**2 as k*y**2 + h*y + z and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:25 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(-2\/11)\/n)\/n)\/n)\/n**(-2\/11))\/((n\/(n*n**(-2\/3)))\/n*n*n)**(-33\/2))**(-1\/61) assuming n is positive.\nAnswer: n**(-49\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/124)\/(2\/(-64))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - (26 - -24)) + (-1 - -10) - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from dllvvlylvyv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let f = 39.7 - 46. Let s = -1.3 - f. Which is the biggest value? (a) s (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/210 and -16\/27279.\nAnswer: 272790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 239, -4, 7, 20 in increasing order.\nAnswer: -4, 0.1, 7, 20, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/6, 2\/5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1115270, 2231007, 3346744, 4462481?\nAnswer: 5578218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5\/3, 2943052 in increasing order.\nAnswer: -0.1, 5\/3, 2943052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4407000458 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/60 - 17*q**2. Let a(b) = 21*b**3 + 7*b**2. Let r(d) = a(d) - 28*f(d). What is the third derivative of r(n) wrt n?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2606?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2058*m + 115. Give t(0).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -346706.52 rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -59. Suppose -9*g = -14 - r. Suppose s + g*n = 225, -3*s + 3*n + 683 = 7*n. List the prime factors of s.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, i: 3}. What is prob of sequence iiif?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (1 + 1)) + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2824 and 167896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d - 1361678 = -164183. List the prime factors of d.\nAnswer: 5, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -1090*k**3\/3 - 4*k**2 - 22*k + 16. Let i be z(11). Round i to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c519 + 169?\nAnswer: -3c380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12776 is divided by 423.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffjjjfhf. Give prob of picking 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -566, -10.73, -7?\nAnswer: -10.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 10430*i**3 - 1277195*i**2 + 50753080*i - 666886320 = 0.\nAnswer: -2204, 36, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 4*x**4 + 3*x + 7*x**4 - 2*x**4 as i*x**3 + k*x + u*x**4 + q + n*x**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 42*d = -15, 0 = -v - d + 49. Solve 0 = -2*p - 5*l + 13, 0 = 58*p - v*p + 2*l - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 2215 - 1104 - 1111 - 3*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, 6, 2, -3 in decreasing order.\nAnswer: 6, 3, 2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*74\/(-74))\/((-4)\/((-28)\/(-1)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, 527, 2747, 7307, 14987, 26567, 42827?\nAnswer: 64547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 - 2*y + 3. Let g(w) = 3*w**3 + 7*w**2 - 5*w + 7. Let n(p) = 7*c(p) - 3*g(p). Find the second derivative of n(f) wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1234*r**3 + 1240*r**3 + 1243*r**3 - 3717*r**3 + 5941*r**4)*(0 + 0 - 2*r).\nAnswer: -11882*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4178.802 to the nearest 10.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 162, -0.4, -0.044, 5, -4, 0 in decreasing order.\nAnswer: 162, 5, 3, 0, -0.044, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 33 = -4*i, -63 = -4*z - 7*i - 69. Let k(r) = 6*r**2 - 7*r + 2. Let w(o) = -11*o**2 + 13*o - 3. Give z*k(v) - 3*w(v).\nAnswer: 3*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 6*j - 41*j.\nAnswer: -47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 3 - (-65 - (-69 + 7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416312 and 392294.\nAnswer: 20399288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 74 + (-7 - (-8 + -5 + 4) - -9)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8518699 rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 51*g + 36*g - 6*g**2 + 3 + 12*g**3 - 173*g**2 + 184*g**2 to the form t*g + i*g**2 + n + q*g**3 and give t.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 1 - 756\/(-18). What is the highest common divisor of d and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1407110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.4. Let g = 0.05 - -0.35. Let f = -0.5 + g. What is the nearest to a in 0.4, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/177614498 and 5\/6?\nAnswer: 532843494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/20 + d**4\/4 - 13*d**3\/6 - 5*d**2. Let j(g) = -4*g**2 - 6*g + 14. Let o(y) = 4*j(y) + 5*n(y). Factor o(h).\nAnswer: -(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1216) + 1*sqrt(1216) + -5 + 5 + ((sqrt(2736) - sqrt(2736)*1) + sqrt(2736))*5 + -1 + 1.\nAnswer: 5 + 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13493, 13490, 13487, 13484, 13481?\n\"Answer: -3*q + 13496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*c - 25, 3*n + 0*n - 5*c = 77. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5524133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {o: 10, c: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9222\/5 - ((-376)\/(-40) + -10).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 17. Let c(k) = -k - 4. Determine 9*c(r) - 2*i(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 59. Suppose -c*r + 225 = -21*r. What is the remainder when r is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(42039\/(-24912))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001110 (base 2) to base 12.\nAnswer: -5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjccjjpptpjcgggggg. Give prob of picking 1 g and 1 j.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1.2 (c) -0.2 (d) -268 (e) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 8*x. Let r(z) be the third derivative of z**6\/40 + z**5\/60 + 23*z**4\/24 + z**2. Let h(d) = 4*r(d) + 11*s(d). Factor h(q).\nAnswer: q*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 2*y - 7, 2*z + 26 = 5*y. Solve 4*h + y*n - 12 = 0, -4*h + 2*n - 12 = -0*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*l + 82, -91 + 106 = 5*l. Sort -3, -2, a.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.19 (b) 60.823 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 13. Let m be v(-8). Suppose 4*x = m + 7. Suppose -3*w - 5*j = -w - 3, 0 = -5*w + x*j + 85. Calculate the smallest common multiple of w and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -1294, 3, -3 in descending order.\nAnswer: 3, -1, -3, -5, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34846 divided by 2489?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 171*j**2 - 1512*j + 3120.\nAnswer: 3*(j - 4)**2*(j + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(120)\/(sqrt(12)*2))\/sqrt(2) + ((sqrt(320) - sqrt(5))*6 + sqrt(5) - sqrt(45)\/sqrt(36))**2.\nAnswer: sqrt(5)\/2 + 36113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85167391.\nAnswer: 43, 1980637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 2*m, 5*m - 3*t + 14 = -16. Put -1\/11, 69, -4, m in decreasing order.\nAnswer: 69, -1\/11, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/2 + (-3)\/2. Suppose z + 369 = 7*a. Calculate the greatest common divisor of a and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmbuhuvb. What is prob of sequence mu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) 0.4 (c) -0.189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14771318?\nAnswer: 2, 7385659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4898 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12286 - 1388294\/113. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 5*m**7\/42 + m**4\/4 + 5227*m**3\/6 + 1002*m. What is the second derivative of p(r) wrt r?\nAnswer: 100*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -511105 - -511104.8700026. Let t = 1.73 - 1.6. Let q = w + t. Round q to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21240 (base 6) in base 3?\nAnswer: -10222120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177847905 divided by -31685.\nAnswer: -5613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 1, w: 2, p: 7, l: 2, s: 1, i: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 110101121221220?\nAnswer: -110101121221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -165. Solve 2*j = -5*g + 21, x*j - 5*j = -5*g + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/360*16 + (-4)\/30. Let u(w) be the second derivative of r*w**2 + 0 - 1\/2*w**6 - 27\/20*w**5 - 2*w - 7\/4*w**4 - w**3 - 1\/14*w**7. Factor u(h).\nAnswer: -3*h*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0160070289 rounded to 4 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 17 + -5 + 1 + 15\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.184827 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11475727 - -0.5.\nAnswer: -11475726.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)\/x**4*x**(-3)\/(x**4\/x*x) assuming x is positive.\nAnswer: x**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 120, 292, 532?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3017\/6 - -504. Let c = 242 + -178. Let t be 4\/(-14) - (c\/(-14))\/2. Is b <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - p + 1. List the prime factors of h(5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9379020 from -105.\nAnswer: -9379125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2935 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/((d*d**5)\/d*d)*d)*d**(5\/4)\/d*d**10\/(d**(-2\/29)*d*d) assuming d is positive.\nAnswer: d**(1429\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 15, x: 4}. What is prob of picking 2 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 45 = 2*w, 3*t - 367 + 139 = -2*w - 171 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/64)\/(12\/8)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 7774156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -0.07, -18\/13?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1871107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v - 297. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199*a + 17 = -1202*a - r, -2*a + r - 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - 2297*z + 2297*z.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 5*t - 3. Let d(q) = q**2 + 4*q + 2. Let i(n) = -2*d(n) - 3*f(n). What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24777 = 7022*w + 5672 + 32349 + 14444 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1449 + -1508.3. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1520306*a + 6081212. Determine r(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/3 + 7362270*n**2 + 7362269*n - 44173618\/3 = 0.\nAnswer: -22086809, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 3\/2*i**2 - 1\/2*i**3 + 2 + 1\/24*i**4 + 0*i. Let r(o) be the second derivative of z(o). Calculate r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Let s(j) = -j - 2. Let v(o) = 5*g(o) + 4*s(o). Determine v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 - -7.67. Let t = o - 7.7. What is the second smallest value in -0.02, t, -25?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.341904g?\nAnswer: 6341.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84990 at least as big as -90222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -48, -97, -146, -195?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 29*x - 753. Calculate the lowest common multiple of d(26) and 12.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 40*a**2 + 12*a - 2. What is the remainder when r(-4) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {t: 5, e: 2, k: 5, j: 3, m: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -14*s - s**2 + 0 + 1\/6*s**3. Calculate q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 49*d**3 - 20*d**2 + 9. Let z(v) = 24*v**3 - 10*v**2 + 5. Determine -3*j(x) + 5*z(x).\nAnswer: -27*x**3 + 10*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 289\/68 + 6 + -15. Suppose -3*l - l + 5*b = 11, 0 = -5*l - b - 21. Put -2, c, l in decreasing order.\nAnswer: -2, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u + 48 = 64*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 699333185 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-108629*k + 31304*k + 16508*k - 61262*k - 6741*k - 85943*k) to s*k + w and give s.\nAnswer: -429526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*m**3*s**4 - m**3 - m*s**4 - s**4 - 1739*s**2 wrt s?\nAnswer: -4584*m**3*s - 24*m*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 10351, -303 in decreasing order.\nAnswer: 10351, -15, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * 47.\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 31\/192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26.38. Let u = -0.48 + s. Which is smaller: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105820 and 1430?\nAnswer: 105820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00513 rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*h**5 - 2*h**4 + 1863*h**3 + 46565*h**2 - 9?\nAnswer: -1320*h**2 - 48*h + 11178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27412 less than -27412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - q - 33 = 0, -3 = p - 5*q - 0. Suppose p - 2 = -10*l. Let g be (-2 - 9\/(-3))*-17*l. Put g, 5, -1 in ascending order.\nAnswer: -1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1892)\/28 - 7)\/((-1)\/329) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163921938 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**(2\/75))**50\/((a**(-1))**5\/((a\/(a*a\/a**(-1\/3))*a)\/a**(5\/4))) assuming a is positive.\nAnswer: a**(155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 76?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*a*t**3*v**2 + 93*a*t**3*v + 2*a*t**3 - 29*a*t*v**2*w - 5*a*v**2*w - 2*a*v - 76*t**3*v*w + 6*t**2*w wrt v.\nAnswer: -50*a*t**3 - 58*a*t*w - 10*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11.7. Let j = -0.9 + w. Let q be 2\/(-4) + (7 - 7). Which is greater: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 884 and 2312.\nAnswer: 30056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12303631*g**3*l + 22563182*g**2 + l wrt g.\nAnswer: 73821786*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/152 and -59\/209.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**2 + 0*q + 5\/7*q**7 + 0*q**5 + 0*q**6 + 1\/3*q**3 - 6 + 0*q**4. Find the third derivative of x(h) wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + ((-2)\/4 - (-9)\/6). Let b be (r - 1) + 0 - (-70)\/(-30). What is the closest to 0 in -1\/4, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6881.\nAnswer: 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -30, -1666, 1\/37 in decreasing order.\nAnswer: 92, 1\/37, -30, -1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12857*t - 10*t**2 + 6003*t + 6854*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 22*v - 57. Calculate the remainder when (15 - -1)*(-1 - -2) is divided by k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -85. Let k be (136\/12)\/(6\/9). Calculate the highest common factor of k and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, 0, 26, 72, 144?\n\"Answer: l**3 + l**2 + 2*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 + 2. Suppose 0*n - 12 = -n. Let h(t) = n*t**2 - 5 - 12*t**2 + 7*t**3. What is -4*h(s) - 10*z(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from {c: 3, h: 4, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - j - 6 = 0, 2*p + 2*j - 4 = 0. Solve p = 3*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-6 - (-6 - -7)*-11. Solve -t = -9*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(9\/15 + (-14)\/(-10)). Let h(j) = 7*j + 7. Let z(x) = -13*x - 13. Determine l*z(y) + 11*h(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359526426 and 21612.\nAnswer: 719052852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 9. Let n(m) be the first derivative of -m**2\/2 - m + 25. Let s(p) = p**2 - 25*p + 96. Let j be s(19). Determine j*n(o) + 2*k(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/60*6\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4, 2 = -i + 2*g + 2*g. Let y be (i\/(-4) - 4)*24\/(-9). Factor -1\/3*w**5 + 2\/3*w**y + 2\/3*w**3 + 7\/3*w - 8\/3*w**2 - 2\/3.\nAnswer: -(w - 1)**4*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2098\/10049?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by 99\nAnswer: 25\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672034509 divided by -9.\nAnswer: -74670501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w = -92*w + 78 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 216850010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 times -0.5?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by 2?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000129509224 rounded to seven dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9255.257 centuries to years.\nAnswer: 925525.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q + 2. Give s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p - 39414 - 5386 = 0. Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/11)\/q*q)**(2\/31))**12 assuming q is positive.\nAnswer: q**(48\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 14) + (6 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from kkf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6450453*o - 11792 = -6450629*o for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 j, and 1 m when four letters picked without replacement from ujuujuujmjjm.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427610?\nAnswer: 2, 5, 61, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 7*t - 4. Let u = -206 + 210. Suppose -27 + 55 = -u*r. Calculate j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 11*a**2 - 13*a + 9. Let b be r(12). Is b bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 3*f**2 + 6*f - 7. Let b be (-54)\/9*(-1)\/(-2). Let r be -3 + b\/(-6)*-6. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**4 - 25208*v**3 - 827228*v**2 + 1755320*v = 0.\nAnswer: -6269, -35, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12334, 24666, 36998, 49330, 61662, 73994?\nAnswer: 86326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.074 times -9439281\nAnswer: -698506.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*s = -198*s - 273 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 15) + -7 - (-21 + 3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 455746?\nAnswer: -455750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(11\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least as big as 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 2874*z - 34439. Calculate a(-12).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -10759*y**4\/24 + 6*y**3 + 8*y**2. Let k be (3 + -4)\/((-1)\/(-3)) - -7. Let i be r(k). What is i rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -142*((-10)\/35 - 404\/56) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194698 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 5*j - 109 - 51 = 41*l, -9*l + 4*j = -43 - 85 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2841*k - 2707 - 68318 = 0 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4013585\/64 - -62711. What is the common denominator of 101\/104 and t?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054282.\nAnswer: 2, 151, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 105 = -5*u, 0 = 2*u + 3*u + 5*f - 105. What are the prime factors of (-48)\/10*((-1141)\/u + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*r*y**2 + 1256*r + 4*y wrt y.\nAnswer: -120*r*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188\/9 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 982 - 977. Let r(f) = -3*f + 3. Let l(t) = -8*t + 8. Calculate p*l(m) - 14*r(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/2154205?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**4 + z**2 - 2*z + 1\/15*z**5 - 8\/3*z**3 + 0. Let y(i) be the first derivative of u(i). Find f such that y(f) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let b(d) = d**3 + d**2 + d - 1. Let o(a) = a**2. Let m(i) = -b(i) - o(i). Is m(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(-45*6\/(-2880)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3644 and 139417618?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19575*0.2.\nAnswer: -3915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*y - 192 = 4*y + 12*c, -2*y - 2*c = 95 + 39 for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 1 + t**2 - 6 - 21*t - 8. Let p be u(4). Let x(m) = -m**2. Let j(l) = l**2. What is p*x(a) - 4*j(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677664?\nAnswer: 2, 103, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 79 = 3*b + g, g = -3*b - 59. Let o be (-3)\/6 - b\/8. Suppose 4*r - o*r - 250 = 0. What is r rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -160, -157, -154, -151, -148?\n\"Answer: 3*z - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -115*v**3 - 5*v + 4. Calculate c(1).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = 21. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 12*x**2 + 4*x + 17. Let a(p) = -13*p + 76. Let w be a(5). What is the units digit of u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Let i(j) = -4*j. Let a(l) = -i(l) + 6*y(l). Let n be a(-4). Suppose -12 = -b - n*w, 2*b + 3*w - 4*w - 9 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435809 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/55)*q*q)\/(q\/q**(-14)) assuming q is positive.\nAnswer: q**(-658\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/867915 and -43\/64290?\nAnswer: 1735830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 2, d: 2}. Give prob of picking 1 d and 2 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 6. Let i(w) = -w**2 - 3*w + 6. Let t be i(-4). Let d(g) = -3. What is t*u(n) + 5*d(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 26 - 35 - 27 + 17*q - 27.\nAnswer: 17*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z**2 - 72*z - 92. Let i(p) = 5*p**2 + 25*p + 31. Let x(d) = -4*c(d) - 11*i(d). Give x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/10 - 3\/5. Let y = -0.37 - -0.07. Which is the closest to -0.2? (a) 2\/9 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370732008 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-64)\/336*(-1 - 5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355226, -355676, -356108, -356516, -356894, -357236, -357536?\nAnswer: -357788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*j - 30*j - 426*x + 431*x - 20, 0 = 14*j + 4*x - 52 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6 = -6, -11 = -3*u - 2*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/5 - 13*t**5\/60 + 5*t**2. Find the third derivative of f(i) wrt i.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -2 (b) 2 (c) -10 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010101111110 + 100?\nAnswer: 1000010110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(112) + -1 + 4 - (1*5*sqrt(1008)*1)**2.\nAnswer: -25192 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -21, 3, -60, -34 in descending order.\nAnswer: 4, 3, -4, -21, -34, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12*i + 220 = 0. Suppose y - 4*o = 23, -4*y + 2*o + i = -0*y. Solve 0*p - p = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6578 + 3*v - 6572 + 7*v + 430*v**4 wrt v?\nAnswer: 5160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 2*a - 2. Let r be m(0). What is the remainder when 39 is divided by 7\/((3\/(-3))\/r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -604, 7, -5, -0.3, -0.002, -0.5?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2138760*w**4 + 1857508*w.\nAnswer: -25665120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-14) - 1675047066\/(-15092) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 3*r**2 + 2*r + 1. Let t be z(4). Let o = 22\/3 + t. Find h, given that -o*h**4 - 1\/3 + 4\/3*h**3 + 4\/3*h - 2*h**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-44))\/(9\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1218 (b) 5 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k. Let b(p) = 8*p**2 - 59*p - 42. Let r be b(8). Let t(q) = q**3 - q**2 - q. Calculate r*t(d) + g(d).\nAnswer: -3*d**3 + 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*30\/(-25). Let i = 5 + a. Solve 0 = -3*u + i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 + m + 1. Let o = -8 - -13. Let s(f) = f**3 - 5 + 0*f - f + o*f**3. Determine 10*p(n) + 2*s(n).\nAnswer: 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -9. Which is the closest to f? (a) 4 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 4634\nAnswer: -71\/4634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 23. Let z = j + -38. What is the remainder when 8 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 10 - 5, -13 = -4*q - 3*j. Suppose -q = 5*g + 1. Which is smaller: g or 14\/31?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45430 is divided by 540.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 162*s - 10. Let l be u(-7). What is the units digit of (l\/66)\/((-2)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11045.403 + 1.597. Let j = -11046.994243 + c. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16548, 0.12, -0.82?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -3 (c) 0.5 (d) 9 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 4, f: 2}. Give prob of picking 1 a and 2 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 14*j + 16. Let k be s(-15). Let o be 23\/2 + k\/(-2). Suppose 0 = 5*r - 14 - o. Solve -23 = r*z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/597, -18, 0, -452 in increasing order.\nAnswer: -452, -18, -2\/597, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c - 32*c**3 - 47*c + 33*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-10)\/20)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-3)\/9 + -5. Let x(f) = -f - 5. Let h be x(y). Find the common denominator of 33\/7 + (1 - h) and -91\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6184 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-7)*g)\/g*g)\/(g*g*g**(2\/19)\/g))**(5\/2)*(g\/g**(-2))**6*(g*g\/(((g*g**(-7))\/g)\/g))\/(g\/(g\/(g**(-7)\/g))) assuming g is positive.\nAnswer: g**(2213\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 1, s: 4}. What is prob of picking 1 x and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + -2.2. Put 4\/3, 2, n in decreasing order.\nAnswer: 2, 4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190915422 and 372?\nAnswer: 381830844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 28. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122100 + 119328 = 99*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -602, -2080, -4992, -9824, -17062?\nAnswer: -27192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*x + 17, 31 = 5*b - 5*x + 1. Suppose 0 = -3*l - 5*a - b, -l + 2*a = 3*a - 3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1805563 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 867500302 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = -10. Let v be 0*(m\/(-4))\/1. Solve d - 2*d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 - 10*r - 3. Let i be c(7). Let l = 296 - 304. Let f be 14 + (-6)\/(-12)*l. What is the highest common divisor of f and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 74. Which is the closest to x? (a) -2 (b) 5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -3*t**4\/2 + 359*t**3\/3 + 381*t**2 - 3*t + 84. Find the second derivative of f(h) wrt h.\nAnswer: -36*h + 718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 13*l - 37. Let u be t(6). Solve -5*s - 4*o + u*o = 5, 0 = -4*s - 4*o + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-1680)\/(-16))*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from ybcvivl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 336. Put 0, -5, u, -4 in decreasing order.\nAnswer: u, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53015677817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 0.3 (c) 362 (d) 0 (e) -8 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*p**3\/5 + 173*p**2 + 2292*p\/5 + 63\/5.\nAnswer: (p + 3)*(p + 21)*(36*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2, n: 2, d: 1, i: 1, l: 1}. Give prob of sequence tnd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -31.27. Let u = p - -0.13. What is the third smallest value in u, 2\/9, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 67*n + 1527. What is the thousands digit of a(87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-6)*(-45)\/(-25). Let x = 13 - -2. Suppose n - o*n = -5*i + 15, -2*n + x = 5*i. Solve n = -4*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z + 5*z = 135. Suppose 4*h = 8, z*b + 3*h - 4177 + 1356 = 0. Calculate the remainder when b is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 58 = -n, d + 9*n + 5 = 7*n. Let r = d - -399. List the prime factors of r.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924203297 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-10)\/68) + (-84)\/105. Suppose 3*n + r = 15, -3*o + 420 = -n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 155*w**3 - 6*w**2 - 6*w + 102. Let o(m) = -309*m**3 + 13*m**2 + 13*m - 202. Let x(v) = -13*b(v) - 6*o(v). Differentiate x(d) with respect to d.\nAnswer: -483*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 11 = q + 3, 22 = 4*q + 3*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609917 and 1246.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110111001100100 - -1?\nAnswer: -1111110111001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46104 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - 0.24. Let c(j) = -4*j - 13. Let b(v) = -2*v - 6. Let p(d) = -5*b(d) + 3*c(d). Let g be p(-6). Sort -5, l, g in increasing order.\nAnswer: -5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 39. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 21*b + 5*n - 25176 = 0, 2*b - 16782 = -4*n. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:48 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, e: 3, i: 3, b: 2, a: 1}. What is prob of sequence el?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -13174?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Solve n = -s*i - 3*n + 24, 4*i + n = 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829076445 a multiple of 5261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -9 (b) 1.71 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -46*l - 4416. Let y be p(-96). Factor 1\/3*z**2 + 1\/2*z**3 + y - 1\/6*z**5 + 0*z**4 + 0*z.\nAnswer: -z**2*(z - 2)*(z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 50*h - 366. Determine k(7).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 8 = -1. Let y(m) = 3*m**4 - 2*m**2 - 4*m. Let i(k) = -k**4 - 2*k**3 - k. Let c(z) = n*y(z) - 2*i(z). What is the third derivative of c(x) wrt x?\nAnswer: -24*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*q - 2*w + 25, 4*q - 3*w - 55 = 0. Suppose q*n = 13*n. Solve 3*v - 1 - 5 = n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1020)\/84)\/17*(-5 + 1230\/250)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5543 = -25*t. Suppose y - 1312 = -t. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 3*r + 92, -4*r - 5*f - 130 = 0. Let i = r + 265. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.667 and -433 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -1.3. Let q = -16.9 - -16.8. Which is the nearest to u? (a) -0.5 (b) -1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160223 (base 7) to base 10.\nAnswer: -31328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 12332 = 204. Suppose -v = -0*k - 4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:09 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1701)\/(-14)*(-12)\/(-9). Suppose -4*s + 156 = -0*s + 2*y, -y = -4*s + l. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 6 = u. Let x = u + 227. Suppose x + 401 = 3*y - 4*v, 4*y - 3*v = 879. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*s + 4, -25 + 1 = -3*y + 3*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + v - 7 = 27, 5*b = -2*v - 67. Let n = -16 + 4. Let w = n - b. Is 3 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34774820?\nAnswer: 2, 5, 37, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 265520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 28. Let u be (-1908)\/24 - s\/(-2). Let x = u + 141. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 163*a - 197. What is the remainder when w(-16) is divided by (-1 - 3*-18) + (-1)\/(-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -4) + (-20 - (-3 + -3) - (19 + -25))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -44. Let f = 12.99 - u. Let n = f - -0.005. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/807 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from syoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 9*m**2 + 3*m + 7. What is the tens digit of n(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 774, 887, 1050, 1257, 1502, 1779, 2082, 2405?\n\"Answer: -a**3 + 31*a**2 + 27*a + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*j + 188, -3*x - x - 4*j = -204. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*b - 20, -7 = -2*q - 3*b + 8*b. Suppose 4*j - q - 4 = -3*f, -20 = -4*f - 2*j. What is the units digit of 36\/15 - f\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21406, 42807, 64204, 85597?\n\"Answer: -2*h**2 + 21407*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 12 = -2*h - 65*n, 0 = 2*h - 3*n - 12 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 506*m - 22 = 510*m, 0 = -9*x + 3*m - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251678 by 251678.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4282719 is divided by 417.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16520757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (0 + 0)\/2. Let m(p) = -p**3 + 5*p**2 - 2*p - 1. Let w be m(d). Let l = 0 - -70. Calculate the highest common divisor of l and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 46 = 13*w. Put -1, 4, w, 1 in descending order.\nAnswer: 4, 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 + s**2 - 2*s - 1. Calculate t(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 5, 1\/3, -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -496.45932064?\nAnswer: 495.45932064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Convert 461 (base 7) to base 3.\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -2)*9\/90. Which is the second biggest value? (a) 4 (b) i (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128983 less than -297?\nAnswer: -129280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 3*c + 2. Let f = 13 - -23. Suppose f = 19*l - 7*l. Let q(k) = 2*k**2 + 3*k + 2. Let n(p) = l*d(p) - 4*q(p). What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 - 19*s**2 + 3973*s - 3973*s + 21541*s**3.\nAnswer: 21541*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -71307.6995574 and -24.\nAnswer: -71331.6995574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(171)*3)**2*5)*-1.\nAnswer: -7697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1848 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28 and 97\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/107 or 0?\nAnswer: 28\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23754 and 5075438.\nAnswer: 15226314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o\/(o\/o**(-1\/17)*o)*o)*o**2\/o)**(-31))**8)**(-19) assuming o is positive.\nAnswer: o**(4712\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 4\/5, -0.08, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let q = 971 + -973.2. Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/6 - 2*y**3\/3 + 5*y**2\/2 + 2*y. Let w(h) = -h**3 - 13*h**2 + 17*h + 9. Let n be w(-14). Let g = 29 + n. What is s(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = -3*c, -3*c + t + 7 = -18. Let j(r) = -9*r + 8. Let x be j(c). Let n = x - -92. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1031454 and 1296?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11997*g + 71982. Determine d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 378132838 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -6\/7*g**7 + 0*g**6 + 0*g**5 + 0*g**3 - 29*g + 0 + 23\/6*g**4 + 0*g**2. Find the third derivative of j(h) wrt h.\nAnswer: -2160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + b - 12. Give q(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010011001 (base 2) in base 10?\nAnswer: 10393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15349*u**3 - 207*u + 207*u.\nAnswer: -15349*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -351\/385 or -1?\nAnswer: -351\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*v)*(4 - 4 + v) - 2*v**2 + v**2 - 4*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 f when three letters picked without replacement from ocffrqrovvqofo.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1012717417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36620043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1520 - 1524. What is the third biggest value in t, 1, 0.4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - g = 174, 0 = -5*j - 3*g + 332 - 56. Suppose -978*b + 1008*b + 1948 = 6898. What is the remainder when b is divided by j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397015183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*f + 12. Suppose -14 = -4*s + 3*b, 2*b = 3*s - b - f. Suppose -s*h + 5*c = -23 - 2, -3*h - 5*c = 9. Solve 3 = x + h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3327 and 4902?\nAnswer: 5436318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15050898 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087262 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 398663935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/224*8.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/4*1162\/1743\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 345180*k - 5957461620 = 0.\nAnswer: -34518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1723 (base 11) to base 4.\nAnswer: 3001203301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 3, w: 5}. What is prob of sequence wwjw?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s - 6. Let r be j(-12). Suppose -d + 4 = -11. What is the greatest common factor of d and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/12 - 11*p**3\/6 + 3*p**2 + 2*p - 1. Let l(j) be the first derivative of v(j). What is the units digit of l(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kllc when four letters picked without replacement from {e: 2, p: 1, c: 1, l: 4, k: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {a: 1, w: 9, e: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3668 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let a(m) be the second derivative of m**3\/3 - 4*m. Determine k(a(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 + 980*o**4 + 79204*o**3 + 2614652*o**2 + 28630792*o - 68369632 = 0. What is o?\nAnswer: -124, -41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 7.7. Let l be ((-224)\/(-52) - 4) + (-2)\/13. Let m = 0 + -2. What is the biggest value in l, m, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**5\/80 + y**4\/16 + y**3\/8 + 3*y**2\/2 - 3. Let c(h) be the second derivative of k(h). Solve c(z) = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*n - 3*n - 4, n + 5203*w + 4 = 5204*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*o - 161*o + 7 = 2*g - 9, -29*o = -5*g - 33*o + 31 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16377 * -0.1269\nAnswer: -2078.2413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 125. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 261 and -7.146.\nAnswer: -1865.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20*r**2 - 10 - 21*r**2 + 13.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = -5*m + l, -4*m - 33 = 5*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19612084 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 209, 312, 411, 506, 597?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172 and 28617960?\nAnswer: 1230572280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 4*p, -2*p - 6 = 3*y - 3. List the prime factors of (3615\/(-60))\/(y\/4).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -208*f - 108*f + 1264 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:43 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 67 = 4*i, -2*i - 65 = -k - 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.176962 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 6. Let f(k) = 5. Let p(g) = -4*f(g) - 3*l(g). Let s(j) = j**2 - 2*j + 2. Let n be s(2). What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2162*-0.3\nAnswer: 648.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 1\/2139, -4, 1\/19, 35?\nAnswer: 1\/2139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35331, -141163, -317493, -564321?\n\"Answer: -35249*m**2 - 85*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + m. Let i(p) = -4*p**2 - 4*p - 3. Give -i(o) - 4*y(o).\nAnswer: -8*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 14 + (-240 - -222)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 53. Let z be k(15). Suppose z - 50 = -2*l. Solve -u + l = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4150 divided by 50\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147354146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 909907053 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*5\/(-90))\/(267\/3204).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-370)\/444*(-4)\/280*18?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-14))\/((792\/154)\/(-18))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 - n**3\/2 + 10*n**2 - 12*n. Is f(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 63848838, 0, 0.3, -1\/3?\nAnswer: 63848838","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -35*i**3 + 2*i**2 - 1. Let p be d(1). Let h = -20 - p. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 23208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-s**3 + 3*s**3 - 3*s**3)*(-81*s**2 - 4018 + 4018).\nAnswer: 81*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10736 is divided by 5364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 11*k = 192. Let b = 37 + k. Suppose 955 = b*u + 5*d, 0*d + 779 = 4*u + d. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*o + 19 - 19)*(-377*o**2 + 156*o**2 + 659*o**2) to the form d*o + y*o**2 + t*o**3 + c and give t.\nAnswer: -7884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = q - 21. Let d = -171 + q. What is the highest common divisor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -3cc020?\nAnswer: 3cc01b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1784?\nAnswer: -535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zims when four letters picked without replacement from {z: 1, i: 1, s: 1, m: 1, f: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 0. Suppose j*x = 538 + 569. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.961 - -0.039. Let s = g - 19. Let k = 336\/5 - 67. Which is the closest to 1? (a) s (b) 9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47699\/44 - -1084. Let n = -9\/11 - z. Let o = -657\/5 - -131. Which is the second smallest value? (a) n (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208.5 - 232.5. Which is smaller: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p. Let z(v) = -392805*v**2. What is z(s(q))?\nAnswer: -190117620*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.71 + -0.29. Let v = -18.8 - u. Sort -0.1, v, -5.\nAnswer: -5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyh when three letters picked without replacement from {d: 8, z: 2, y: 2, h: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -181. Let v = -53 + o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jeoee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 17*y**2 + 14*y + 1. Let v = -34 + 18. What are the prime factors of l(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120012 (base 4) to base 14\nAnswer: -7c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f - 171 = 0, 3*z + 25 = 2*z + 5*f. Let v = z - -41. Suppose 9*i + 10 = -i. Sort 1, i, v.\nAnswer: i, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 2*o**3 - 5*o - 6*o + 13*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 8. Let w be o(-3). Suppose -246 = -3*j - w*u, 0 = -5*j - 2*u + 408 - 17. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.06 - 0.06. Let d(j) = -j + 2. Let y be d(-3). Let i be 14\/40 + -6*y\/(-75). What is the smallest value in s, i, 5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*4*(sqrt(441) + sqrt(441)*-1))\/((-1*sqrt(1134) - sqrt(1134))\/sqrt(2)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = 0, -m = o + 4*m - 24560010. Round o to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in 0.256, 0.5, 0.2, -6, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819 = -41*j + 206. Let i be (14\/(-4))\/(1\/2). Let b = i - -81. What is the remainder when b is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12954 + 7206 = 20*d. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25) - 66\/(-10). Let v(w) = 28 - i*w + 3 + 6*w - 5. Does 13 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47844 is divided by 15864.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2b24?\nAnswer: 2b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgvmvlamlyvyvavvg. What is prob of picking 1 m, 1 a, and 1 y?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 4*h - h + (4*h - h + 0*h)*(3 + 5 - 3).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*4 + sqrt(136)\/(-3*sqrt(8)).\nAnswer: 35*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5929 = -46*w - 3*w. What is the highest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.03733 > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 5. Let q(s) = -6 + 2*s - 26 + 14*s**2 - 13*s**2 + s. Let k be q(5). What is t(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*f**2 + 42*f**3 - 40*f**3 - 2*f + 5*f - f to z*f**2 + w + i*f**3 + j*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -969 - -1736. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 - (36 - -37 - 18).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 17*s - 4. Let x be a(9). Solve -x*q + 1 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139c (base 13) to base 2.\nAnswer: 101100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. What is the third derivative of 11*z**v + 3*z**4 - 13*z**2 - 3*z**2 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/360948 and -8\/3?\nAnswer: 360948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440038 is divided by 110007.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455 - 219. Suppose -2*n - 34 = -5*f + 72, 4*n + y = -2*f. What is the common denominator of 121\/10 and (12 - 11)\/(20\/n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-220)*(-110)\/(-132)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-3)\/(-4)). Suppose 2 = -k - j. Let b be 30\/4 + 2\/k. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*u - u + 6, u + 3*i = 14. Suppose 35*y - 32*y = -3*f + 54, -9 = 3*y - 4*f. Solve u = -y*c + 7*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1237 - 387. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-42 - -47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 125. Let g be (i - 4)\/(2 - 1). Solve z - 7 = 4*a, g = -2*z - 5*a - 0 + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*p - 20*p - 45. Suppose -3*n - 206 = -4*c + 45, p*c - 319 = 2*n. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214003 + 5?\nAnswer: -213554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 130*d**2 - 252*d - 488. Let k be l(128). Solve 156 - k = 33*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2 - (-2 + 1). Let r(h) = h + 22. Is r(q) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/12 - (-4 - 1). Solve 0*j + 5 = -2*j - c, 2*j - l*c = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305*m**2 + 276*m**2 - 2535*m**2.\nAnswer: -4564*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 45 + 79. Suppose -4*o + j = -3*d, -3*d - 5*o - 6 = 11. Let z = -6 - d. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5. Let h = 457\/6 - 76. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 103276*g**3 + 6937192*g**2 - 6627344*g - 13667808 = 0. What is g?\nAnswer: -25886, -1, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**3 + 14*j**2 + 8*j + 8. Let z(i) = 7*i**3 - 9*i**2 - 5*i - 5. Let p(a) = -5*y(a) - 8*z(a). Factor p(b).\nAnswer: -b**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 14 = 4*t + k, t = -k + 10. Let v be (1*-6)\/((-1)\/16). Calculate the highest common factor of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16409 and -10.13?\nAnswer: 1.6622317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/54)\/(58\/(-261)))\/((-6)\/(15*66)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -41 + 58 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**(-29)*l**(-1\/3)*l**(-1\/4))\/(l*l*l**7*l*l**(-1)*(l**0)**(-1\/12)) assuming l is positive.\nAnswer: l**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let q(l) = -100*l**2 - 5*l + 5. Let p(m) = -50*m**2 - 2*m + 2. Let g = 14 - 19. Let t(o) = g*p(o) + 2*q(o). Give t(i(k)).\nAnswer: 200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 80 = 17*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 4, 7, -6, 1\/9, 21846?\nAnswer: 21846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33706, -67552, -101688, -136258, -171406, -207276, -244012?\nAnswer: -281758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 + 0 + 2*h)*(-8 + 8 - 2*h**3).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(50\/10))\/(270\/(-108)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let i be (-3)\/(-6)*-1*n. Let o be 4 - (-2 + 4) - i. Solve -4*a = -0*a - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44200 divided by -340\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-8)*k*k**(-9))\/(k**9*k*k**(-1\/2)))**(6\/13))**(3\/43) assuming k is positive.\nAnswer: k**(-459\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*u - 12 = 3, -u = -4. Which is the smallest value? (a) g (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*z + 100 = -142*z. Suppose -6 = -14*a + z. Suppose d**2 + 0 - 3*d**3 + 0*d + 9\/4*d**a = 0. What is d?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/132 and -67\/198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 5. Let g = o - -6. Suppose -y - d + 64 = d, -y = -5*d - g. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 29 + (1 - 17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -138. Let w be ((-18)\/135 + c\/30)\/1. Is 12 a factor of 506\/6 + w\/(-12)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 5, 6, -4 in ascending order.\nAnswer: -33, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/7 - 12569338*v**3\/7 + 39497051870221*v**2\/7 + 11284877349780*v + 5642439572700.\nAnswer: (v - 6284670)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 8. Suppose 0 = -5*z + 4*d + 83, -2*z + 21 = 4*d - 1. Let x(b) = -b**2 + 15*b + 6. Let a be x(z). What is the units digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 7528124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 875 and 2466800?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 10)*20\/(-40).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.94573 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j. Let v(c) = 1293*c**2. Determine y(v(i)).\nAnswer: -15516*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 - -5 - 2) - -6 - -19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/3192 - x**7\/665 - x**6\/570 + 2*x**5\/95 - 2*x**4\/57 + x**2. What is c in p(c) = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -164213?\nAnswer: -16421b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/y*y*y**(3\/5))**50 assuming y is positive.\nAnswer: y**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-9))\/1*(90\/(-12))\/5.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -40 + 28*w**3 + 116*w + 4*w**4 - 8*w**2 - 6*w**2 - 94*w**2 = 0?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -219*v - 1535. Let a be y(-8). Sort -17, -2, a in descending order.\nAnswer: a, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/3 + 278*z**3 + 10304*z**2 + 30080*z\/3 = 0. Calculate z.\nAnswer: -376, -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = z + 5 + 3, 0 = -2*z + 4. Solve 0*r = -r + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*x = -903 + 253 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -633*n**3 + 633*n**3 + 36*n**4 + (-15 + 15 + 12*n)*(5*n**3 - n**3 - 3*n**3).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 474 + -466. Put -3, l, 3\/7 in increasing order.\nAnswer: -3, 3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**2 + 2*m - 3. Suppose 3*o - 15 = 48. Let l(a) = a**2 - 7*a - 7. Let p(w) = o*v(w) + 6*l(w). Let y(c) = 2*c. Give p(y(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7302 + 905*f + 893*f - 14*f**4 + 5*f**4 - 1802*f + 29*f**3 wrt f?\nAnswer: -36*f**3 + 87*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.048 - 0.048. Let r = x + -51.893. Let t = r - -0.333. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/20 + 14*r**3\/15 + 43*r**2\/10 + 6*r + 655. Suppose c(s) = 0. What is s?\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -117\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/12 + p**3\/2 - 7*p**2. Let x be i(-13). Suppose -4*s + 3*s = -x. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 54. Let r = 0.4 - 1. Let f = 4.6 + r. Sort -0.05, f, t in decreasing order.\nAnswer: f, t, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16810 + 184908\/11. Which is the fourth smallest value? (a) -30.5 (b) -0.1 (c) r (d) -2\/19 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -1\/7, 1.6.\nAnswer: -1, -1\/7, 0, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + 105960464.\nAnswer: 105960581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*0\/(4 + -8). Suppose 3*s - 2*d - 24 = 0, s - 2*d + 3*d - 13 = k. Let c be (-2)\/(-1 + -1) + 11. Does s = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 6*c**2 - 10*c + 76. Give x(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 2*y + 11*y + (2*y + 0*y - 4*y)*((-5 + 0 + 3)*(0 + 3 - 4) - 6 + 2 + 3 - 1 - 5 + 1) to the form j*y + u and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394062711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 8. Let r(a) = a + 3. Let j(d) = -11*r(d) - 4*w(d). Calculate the least common multiple of 9 and j(8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/16 + (1\/(2\/(-21)))\/3. Let g = 0.35 + 0.05. Is f != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101678 is divided by 1495?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -4306 (c) -0.1 (d) -3\/94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13204 - -2113013?\nAnswer: 2044304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 - 6*f + 7. What is the remainder when a(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 10*v + 28. Determine t(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0 - 1\/3*y**4 + 1\/3*y - y**2 + y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153516 is divided by 637?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*o**3 + 2*l**2*o - 22*l**2 + 2*l*o**3 + 9*l*o - 26087*o**3 + 3*o - 1 wrt o.\nAnswer: -18*l**2*o + 12*l*o - 156522*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - -1 - (-19 + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from tlellqvlqvvqvvvt.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17.7*-0.147116\nAnswer: 2.6039532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y. Let x(k) = 2 - 5*k - 2 + 3*k. Give p(x(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*n - 8 = 0, 3*n + 0*n = -3*a + 12. Solve 4*h = a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 22\/(-8). Let y = -1 - p. What is the greatest common divisor of 18 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5820 by -4.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -38. Suppose t*o - 111 + 107 = 0. Which is the third biggest value? (a) -2 (b) o (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 4112*y - 1056784 = 0. What is y?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let i(u) = -2881*u - 96. Give i(j(y)).\nAnswer: -5762*y - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1420*-0.11.\nAnswer: -156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j - 3*j**2 - 2*j - 3*j - 1. Let x(m) = 11*m - 2. Let v be x(2). Suppose -5*u = 5*g - 10*u - v, 5*u + 15 = 0. What is o(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36902.\nAnswer: 2, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/26)*u)\/(u*u**(-7\/3))*u*u*u*u**(3\/11)*u*u**(5\/2))**10 assuming u is positive.\nAnswer: u**(39230\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-99)\/165)\/((-1)\/10). Let f(c) = 0 - q - 4 + 32*c + 10. Let m(y) = 2*y**2. Give m(f(g)).\nAnswer: 2048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 0)\/(-9*1\/(-15)). Let r(d) = 4*d**3 - 5*d**2 + 6. Let w(m) = -2*m**3 + 2*m**2 - 3. Give n*w(j) + 2*r(j).\nAnswer: -2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 + -139. Solve d*h + 3 = 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561610566 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 + -1.3. Put w, 4, 5 in increasing order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(704) + sqrt(44)) + sqrt(84)\/((-2*sqrt(96))\/sqrt(8)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 1. Let w be f(5). Let a be (-134)\/(-10) - w\/40. Let r = a - 1. 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: Solve -3*d - 5 = -3*f + 7*f, -4*f - d = 3*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78092*n**3 + 39027*n**3 + 256 + 39037*n**3.\nAnswer: -28*n**3 + 256","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1832 - 891. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*u**2 + 5092598*g*u**3 + 15*u**3 - 9038*u - 144 wrt g?\nAnswer: -2*g*u**2 + 5092598*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 4. Does 18 divide i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3064.7056 + -3059. Let d = -5.7 + z. Round d to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b*o**3 + 9*b*o**2 - b*o + 4*b - 45*o**6 - 4226*o**4 + o**2 + 203 wrt o.\nAnswer: 42*b - 5400*o**3 - 101424*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004569559 rounded to six dps?\nAnswer: 0.000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*y - y - 18724 = 0, 3*b + y - 18734 = 0. Let t = b - 37567\/6. Calculate the common denominator of -21\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47.7, 9.6, 1, 310?\nAnswer: 47.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 161 - r + 144 - 239.\nAnswer: 2*r + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423330116?\nAnswer: 2, 11, 71, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*2)*-6*5 + -2 - ((sqrt(147) - -3*sqrt(147)*2) + 5)*2)**2 + -4.\nAnswer: -2688*sqrt(3) + 37772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 1. Let o = 3 - 2. Let z be s(o). Suppose 4 - 34 = 3*v + z*k, 0 = 5*v + 4*k + 45. Let t(w) = -w**3 - 4*w**2 + 5*w - 6. Calculate t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3015)\/(-10050)*(-232)\/6.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 2*f - 1468 + 1446 = 4*v, -3*v - f - 48 = -13*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.2434 + 12.1?\nAnswer: -222.1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43739712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 275 = -30. Let v = x - -77. What is the highest common factor of v and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -5 + (-9 - -80) + (-10 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-9))\/(12\/756*42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132503*a**4 + 6*a**3 + 13*a**2 + 13*a + 11004 wrt a.\nAnswer: -3180072*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412*a**3*u**2 + 534*a**2*t**2*u**2 + 2*a*u - 9796*t**2*u**2 + 249*t*u**2 wrt a?\nAnswer: -2472*a*u**2 + 1068*t**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1196364147 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758 + 1017. Calculate the greatest common factor of 148 and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**7\/14 - q**6\/40 + 77*q**5\/30 + 3*q**2 + 31. Find the third derivative of b(t) wrt t.\nAnswer: -360*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -49, -79, -113, -151, -193, -239?\n\"Answer: -2*c**2 - 20*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**3 - 3*o**2 - 2*o. Let m be f(-2). Suppose 5*p = p + m. Let y be (-504)\/(-10) + (-4)\/10. What is the highest common factor of y and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7*k**2 + 18*k + 1. Let y = 792 + -801. Let j be o(y). Let s(b) = 14*b - 1. Give s(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + x**2 + 1 - 2*x**2.\nAnswer: -x**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -191*r. Let j(w) = 196*w + 4. Let k(f) = -248*f - 5. Let m(a) = -5*j(a) - 4*k(a). Give m(u(o)).\nAnswer: -2292*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i - 6. Let x be 5\/(5*(-1)\/(-2)). Calculate o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11456016 is divided by 1282?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10528926?\nAnswer: 2, 3, 19, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.9. Let t(s) = -s**2 + 6*s - 5. Let x be t(7). Let d be (-8)\/(-30)*x\/(-8). Which is the second smallest value? (a) -0.5 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198, 382, 578, 786, 1006, 1238?\n\"Answer: 6*t**2 + 166*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221304 - -3304?\nAnswer: -213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/12 + 5*r**2\/4 - r\/12 - 5\/4.\nAnswer: (r - 1)*(r + 1)*(r + 15)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)\/(5\/(-25)). Let d = h - -7. Suppose -1 = d*j - 3. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7be0a + -6?\nAnswer: 7be04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6241562 (base 7) to base 13\nAnswer: -203348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0984 + 0.1016. Let x(q) = -q - 1. Let o be x(2). What is the nearest to 1 in -0.4, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 2. What is the lowest common multiple of 14 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 2*y + 1. Suppose 2*k - k - 4 = 0. Suppose -z + 3 = -j, 0 = -k*z + 2*j + 5 + 5. Give u(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54935*l**3*z**3 - 2*l**3*z**2 - 46*l**3*z + l**2*z + 74*l**2 + l*z**2 + 94*l - 1759*z**4 wrt z.\nAnswer: -329610*l**3 - 42216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 17*b**2 - 13*b - 7. Let s(o) = -9*o**3 - 64*o**2 - 49*o - 29. Give -15*g(r) + 4*s(r).\nAnswer: -6*r**3 - r**2 - r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - t + 2. Suppose 0 = 5*h - x - 14, 3*x = -5*h - x + 19. Let j be h\/6 - 70\/(-4). Suppose -3*q + o - 5 = -2*q, -3*q + 4*o - j = 0. Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5295, -10604, -15913, -21222, -26531?\nAnswer: -31840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*z + y, 0 = 5*z + 2*y - 7. Solve 2*l = -3*h + 6, 5*h - 14 - z = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -506 (base 7) to base 3\nAnswer: -100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8084368043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 12. Factor 5*m**2 - a*m**2 + 2*m - m.\nAnswer: m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(55)\/(4*(sqrt(11) + sqrt(99) - sqrt(11))).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 6*x - 4*z + 16, -2*z = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100010001110011111011 + 101?\nAnswer: -10100100010001110011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 8*s - 5. What is j(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 7. Let u(g) be the third derivative of g**4\/12 - g**3\/6 - 8*g**2. Calculate u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-273))\/((-12)\/(-28))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 4*m**3 - m**3 - m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444460962 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -5*z**3\/3 - 35*z**2\/2 + 150*z + 259. Suppose b(a) = 0. What is a?\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246704 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12212333 + 411?\nAnswer: 12213144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 120. Suppose -w = 5*z - k, 0 = -5*z - 2*w - 2*w + 105. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 3*d)*((0*d**2 - 6*d**2 + 3*d**2)*(3*d - 3*d + 2*d) + (-5*d**3 + 4*d**3 + 6*d**3)*(-5 + 1 + 3)).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 9:44 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.1 - 27.5. Sort d, -0.3, -11, 0.4.\nAnswer: -11, d, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -454260, -1817059, -4088390, -7268253?\n\"Answer: -454266*z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**4\/24 + 6*j**2. Let b(q) = -1 + 5 - 5. Let m(d) = -d - 1. Let a(n) = -5*b(n) + 5*m(n). Give a(p(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 - o - 1. Let v(a) = -5*a**3 + 8*a**2 + 7*a + 2. Let j(f) = 4*r(f) + v(f). Calculate the least common multiple of 4 and j(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 24*n.\nAnswer: 3*n*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-78))\/(-4)*(-3)\/(-4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/51 - 224\/(-119). Let f(t) be the first derivative of 3 + 0*t - 2\/3*t**3 - n*t**2. Find the second derivative of f(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47165, -47161, -47153, -47141, -47125, -47105, -47081?\n\"Answer: 2*i**2 - 2*i - 47165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-55)\/11)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*l + 2, -m - 14114 = 4*l - 14124 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 10546887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**6\/21 - 6*b**5\/35 + b**4\/14 + 2*b**3\/7 - 2*b**2\/7 + 219. Determine g so that w(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + -7)) + -1 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(-2))\/r)**(-2\/77)*(r**(1\/3)*r)**(2\/81) assuming r is positive.\nAnswer: r**(1102\/18711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 60*m**3 - 56*m**2.\nAnswer: -4*m**2*(m + 1)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11073, 23147, 36217, 50283?\nAnswer: 65345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 5, 1\/3, -1\/4, -0.16, 1 in increasing order.\nAnswer: -1\/4, -0.16, 1\/3, 3\/8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k. Let o(q) = -8*q**3 - 3*q**2 - 5*q. Determine 6*g(b) + o(b).\nAnswer: -2*b**3 - 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 - -27.79. Let j = k - 21. Let m = j + -7.00003. Round m to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2. Let x(g) = -176*g - 59*g - 280*g - 5 + 106*g. Calculate p(x(f)).\nAnswer: 501843*f**2 + 12270*f + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2*((-3)\/(-2) - 2)). Suppose 0 = -4*n + 4*t - 5 + 109, -n + 2*t + 28 = k. Calculate the remainder when 70 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13545 and 3654?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8145154773.257 + -0.2.\nAnswer: -8145154773.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71 - 16*i**2 + i**2 + 71 - 6*i**6 wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12629 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: In base 3, what is -21102221 + 201101?\nAnswer: -20201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.033 and -132227387?\nAnswer: 132227387.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/5 - 2472*x**2\/5 - 2036928*x\/5 - 559476224\/5 = 0?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31511486 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5673 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1 + (1 - 2)). Suppose 0 = -o*d + 7*b - 2*b + 219, 0 = 2*d - 2*b - 110. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/2 + 75*x + 625\/2.\nAnswer: 5*(x + 5)*(x + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/20 + 7*r**4\/6 + 5*r**3\/6 + 21*r**2\/2 - 7*r + 7. What is the remainder when h(14) is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2940))\/sqrt(1200))**2.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6100900 to the nearest 100000.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let q(n) = -7*n**2 - 14*n - 1. Let b be q(-2). Let u(m) = 1. Let y(v) = -3*v - 2 - 3 + 4*v. Let s(t) = b*y(t) - 5*u(t). Determine s(j(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -z + 5, -4 + 2 = -4*z + 5*s. What is the derivative of 9*g**2 + 22 + z - 20*g**2 - 9*g**2 wrt g?\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -44. What is the nearest to 25 in k, 13, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*20\/(-90)*9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**5 - 16*p**4 - 33*p**2 - 4.\nAnswer: 240*p**2 - 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**3 + 4*f**2 + 3*f + 8. Let x(u) = -8*u**3 + 7*u**2 + 5*u + 15. Give -5*k(p) + 3*x(p).\nAnswer: -4*p**3 + p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*2\/22 + (-92824)\/(-451) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v\/v**6))\/v)\/v*v*v)\/(v\/v**(1\/28)*v))\/((v**(-35)\/v)\/v**(1\/26)) assuming v is positive.\nAnswer: v**(14223\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.9501231 - 9.95. Round g to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*d = 2*n + 9, 5*n = -4*d - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0362 + -0.2432. What is k rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.10176 litres in millilitres?\nAnswer: 72101.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 1. Let x(b) = -b + 4. Let f be x(12). Let v = 4 - f. Suppose k - v = -3*k. What is a(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23467, -41950, -60429, -78904, -97375, -115842?\n\"Answer: 2*i**2 - 18489*i - 4980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -34, 56, 53, 3.\nAnswer: -73, -34, 3, 53, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 87745, -3\/5, -5, -2 in increasing order.\nAnswer: -5, -2, -3\/5, 87745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-266)*-7)\/((-2)\/(-124)*-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 120 = 4*j, 0 = 2*j + 3*h + 4 - 70. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -10. Let v be (15\/(-2))\/1*o. Suppose 0*i - 5*i + v = 0. Solve 0*g - 3*g = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6234928 divided by -1244?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -4)*2 + 72\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5947\/1878*(-44)\/2090?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/72 + 50\/(-225).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.5 (b) 2\/5 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-6)\/(-3)) + 5. Suppose 0 = 5*p + f*w - 21 - 19, -40 = -3*p + 5*w. Suppose t + 5 + p = 0. Does -15 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 + 5e?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -18 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*i**2 + 8*i + 212*i**2 + 759*i**2 - 10*i.\nAnswer: 1253*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) 54 (c) -1\/3 (d) -0.01 (e) 3 (f) 4 (g) 107\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 58. Let h(j) = -j**2 + 3*j. Let z(l) = 2*l**2 - 5*l. Let w(d) = -10*h(d) - 6*z(d). Determine w(i(m)).\nAnswer: -2*m**2 - 232*m - 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21 = -5*j, 0*m - 3*m - 3*j + 21 = 0. Suppose 0 = -2*w + 43 - 7. Suppose c - 6*c - i - 18 = 0, 0 = m*c - 5*i + w. Is c bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2795 + -846857\/303. What is the common denominator of -76\/15 and a?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 12*r + 15. Let s be h(5). Suppose 0 = 2*q + x - 4 - 2, -12 = 3*x. Determine i so that 40*i**2 - 11 + q - 39*i**2 - s*i = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkk when four letters picked without replacement from {k: 5, m: 2, d: 9}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*u + 64 = -3*u, 4*b = u - 44. Let n = b + 19. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 8, k: 2, j: 5}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 11*o. Does 7 divide p(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 10*h + 2*h + (0*h + 5*h - 3*h)*(-2 + 1 + 3))*(2*h + 0*h - 4*h) - 1 - h**2 + 1.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a + 50 - 60 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(11)) - sqrt(11) - -6*sqrt(22)\/sqrt(2)) + 0)*2*4.\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 16*g**2 - 15*g + 3. Let m be j(15). Suppose -4*l = -5*l + 2. Put m, l, 4 in ascending order.\nAnswer: l, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9468294*b**2 - 9468294*b**2 + 18936590*b**2 + 9*b.\nAnswer: 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**2 - 3*h**3 + 374 - 16*h**2 + 53.\nAnswer: -3*h**3 + 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-10) - (-12)\/20. Suppose -k + 3 = -r - 4, -10 = -c*r. Let v be k\/(-10)*(-20)\/6. Solve -v*a = -24 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46008 is divided by 328.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 19 - 7 = -4*l, 5*l = -25. Calculate the remainder when (6\/15)\/(o\/10) is divided by 8*(92\/(-16) - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-657)\/(-72) + 1\/(-8). Let i be -6*(21\/j - 2). What is the smallest value in 0.5, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 - 6*s**2 - 5*s - 4. Suppose 0 = 10*n + 3*n + 65. Let u(y) = y**3 + y**2 + y + 1. Determine n*u(x) - w(x).\nAnswer: x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 0.1, 5, 13, 1\/6, -1288?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -12*y**3 + 2*y**2 - 2. Let q be i(-1). Solve -q*l + 1 = 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6707, -26994, -61063, -109124, -171387, -248062, -339359, -445488?\n\"Answer: -35*h**3 - 6681*h**2 + h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2 = 4*t. Let c be 7\/(39\/20 + -2). Is c\/(-2) - 2 - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7563*q + 404*q + 1546*q + 8036*q to the form m + u*q and give u.\nAnswer: 17549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4844, -19386, -43622, -77552, -121176, -174494, -237506?\nAnswer: -310212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13188008, 13188020, 13188046, 13188092, 13188164, 13188268?\nAnswer: 13188410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 968922*i**3*o**2 + i**2*o + 7299*i*o**2 - 23 wrt i?\nAnswer: 5813532*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**3 - 2*g**2 + 2. Let b = -1292 + 1490. Let k(v) = 539*v**3 - 99*v**2 + 99. Determine b*o(u) - 4*k(u).\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Suppose -5*k + 6 - 41 = 0. Determine c(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22427 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 27*k - 24*k + 175568, -a = k + 43892. Let i = 19595 - a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1861447, -1861541, -1861635, -1861729, -1861823?\nAnswer: -1861917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*c = -1280, 9*c = -v + 5*c + 277. Solve -v*k = -255*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (17 + (4 - 7) - 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-1 - 2)) + (6 - 28) + 5 + -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/4 - 2*g**3 - 6*g**2 + 7*g. Factor y(w).\nAnswer: -3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 88*c = -93*c - 17, -3*t + 4*c + 11 = 0. Solve -3*h = -d + 5, 0 = -t*d + 12*d + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 35 = -2*t + 4*c, -2*t = -2*c + 38. Let o be (4\/8)\/(t\/(-160)). Solve -1 = o*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 1 + 1 + -20 + 21. Put -21, y, 4 in decreasing order.\nAnswer: 4, y, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -45. Let d(w) = -w - 11. Let g be d(x). Suppose -9*p + g*p = -6705. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035+18\nAnswer: 18.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 8*k**2 + 8*k - 3. Let p be r(7). Suppose 103746246 + 253754 = p*s. Round s to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27794, -3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486 - 90 + 21)*(-4 + 2 + 1)*(-4*n**4 + 2*n**4 + 4*n**4).\nAnswer: -834*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3906 is divided by 738.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/79 + 210\/1027. Which is the nearest to -2\/5? (a) -0.4 (b) j (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165315, 165118, 164813, 164406, 163903, 163310, 162633?\n\"Answer: v**3 - 60*v**2 - 24*v + 165398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmbmmrmmmbmmmtm. Give prob of sequence tmb.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6731342.4 rounded to the nearest 1000?\nAnswer: 6731000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115 (base 11) to base 7.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -126. Suppose 0 = -k*d + 3*b + 505, -3*d - 3*b + 117 = -678. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:50 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsjzjjzjhspjhj. Give prob of picking 1 j and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 2.9. Let g = 4.129 + -0.129. What is the closest to -4 in d, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/15*9\/6*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 1 + sqrt(1300))**2 - sqrt(468)*1.\nAnswer: 34*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, 1, 3\/2, -2, -12\/125?\nAnswer: -12\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 - 6*x - 8. Let g be s(-4). Suppose 0 = 2*y - g*y. Let v(m) be the second derivative of -m**3\/6 - 3*m**2 - 11*m. Determine v(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 2, 0, -14 in ascending order.\nAnswer: -14, 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3736*j**3 + 9*j - 189219 wrt j.\nAnswer: -11208*j**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000472731535 to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/7321, -2, 1\/203 in decreasing order.\nAnswer: 1\/203, -3\/7321, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/90 and -47\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-107)\/(1 - (-1 - -3)) is divided by -2 + 564\/27 + (-1)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16 + -630)*1\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*(sqrt(234) + sqrt(26))\/sqrt(2))**2 - (0 + sqrt(1872))*-1).\nAnswer: 12*sqrt(13) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*y = -26, 2*j - 4*j - y = -10. Solve -2*h = 4*m - 16, 0 = -4*h - h + j*m - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 1. Let i = j + 42. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b**4 - 3*b**4 + (2*b - 3*b + 2*b)*(-b**3 + b**3 + b**3) - 4*b**4 + 3*b**2 - 3*b**2 + (-b - b - b)*(-74*b**3 + 34*b**3 - 23*b**3).\nAnswer: 183*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 18 = o. Suppose -22 + 4 = -o*m. Find the second derivative of -568 + 568 - m*s**2 + 4*s wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibzhhbdi. Give prob of sequence izbh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a*o**2*q*y**2 - 8*a*o*q*y**3 - 5*a*q*y + 90160*o**2*q*y**3 + 89*o**2*q*y + o**2*y**2 + 20*o*q*y + 2*o*y**2 wrt y.\nAnswer: -48*a*o*q + 540960*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**4 + w**4 + w**4 + (2*w + 2*w - 11*w)*(-2*w**3 + w**3 + 0*w**3) as i*w**4 + h + j*w**2 + d*w + y*w**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 42) + 19 - 16 - 16?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.936077181 to 4 dps.\nAnswer: 0.9361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 14) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2651 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -160*f + 4. Let i be z(6). Is i\/(-3) - (-2)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*v - 5*j + 30, -4*v + 4*j = -40. Let s = -49\/6 + v. Let i be (1 - 0)\/((-5)\/20). What is the nearest to s in 1, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(23\/2)\/g)\/g)\/g)\/((g**(-10)*g)\/g) assuming g is positive.\nAnswer: g**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.7. Let w be (-2)\/6 - 144\/(-27). What is the smallest value in w, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/((-25740)\/(-432))*(-6)\/(-2)*-1?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 23. Let x(m) = 9 - 59 + 49. Determine -r(i) - 4*x(i).\nAnswer: -2*i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828590 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13410401.02 rounded to the nearest one thousand?\nAnswer: 13410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Let m = 11 - k. Calculate the highest common divisor of m and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - h - 14 = 0, 5*t + 100*h = 103*h + 33 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -4*z**5\/35 + 31*z**4\/42 - 4*z**3\/3 - 4*z**2\/7 + 10*z + 21. Factor a(v).\nAnswer: -2*(v - 2)**2*(8*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8271 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = 240. Let p be 1\/(-1) - y\/(-64). Sort 1, p, -0.3 in descending order.\nAnswer: 1, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = 16*t + 498 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 + 2\/15*d**3 - 2\/75*d**6 - 1\/25*d**5 - 7*d + 1\/15*d**4 + 0. Suppose c(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 378*t + 2737. What is l(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 569088 (base 16) in base 10?\nAnswer: 5673096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 13 = -5*y, -6*y - 22 = 5*d - 7*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 6, t: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 26389875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90465 is divided by 275.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*6\/(-48)*(-26 + -2). Solve 10*j = 16 + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 14. Let y be t(0). Suppose 4*x = y - 2. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/709416 and 9\/82600.\nAnswer: 124147800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687 is divided by 357.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15126271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + d**3 - 86*d**2 + 104*d**2 to s*d**2 + l + g*d**3 + w*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -3462 = -3463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.2 in -5, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47263703599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349, -11327, -38737, -92399, -181133, -313759?\nAnswer: -499097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(52)\/sqrt(4)*4) + (sqrt(364)\/(sqrt(21)\/sqrt(3)) - (5 + sqrt(208)\/sqrt(4) + sqrt(52) - sqrt(52))))**2 + 1.\nAnswer: 224*sqrt(13) + 3378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4156 = t, -17*f - 3*t - 4148 = -12*f. Let w = f + 851. Let y = -61 + 135. Calculate the remainder when y is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-252)\/(-30))\/(1\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 18 - 2. Suppose -o*t = 2*b + 24, -5*t - b + 5*b = 17. Suppose y + 8 = -l - 4*l, -3*l - 2*y - 2 = 0. Sort l, 0, t.\nAnswer: t, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-2\/5)*v)))**(2\/3)\/((v\/v**(-3))\/(v*v\/v**(-2))) assuming v is positive.\nAnswer: v**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 40\/(-8))\/(-6). Let f be ((-6)\/(-54))\/((-2)\/(-12)). What is the closest to k in f, -1\/8, 0.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 6 + 5*x - x**3 - x**2 + 0*x + 48*x**3. Is h(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.86, -1\/4, 0.1 in descending order.\nAnswer: 2, 0.1, -1\/4, -0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 120*c**2 + c. Let p be g(1). Let n = -191 + p. Let r = -30 - n. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiisbib. Give prob of sequence iib.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1833\/2 (b) 3 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a0 (base 15) to base 12.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -455 - -451.07. Let m = t + -0.07. Which is the nearest to 0.1? (a) -1 (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13089, -19682, -26287, -32904, -39533?\n\"Answer: -6*r**2 - 6575*r - 6508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147692 and 20?\nAnswer: 738460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -11*i + 13*i + 86, 0 = -5*w - 4*i - 109. Which is the biggest value? (a) 0.03 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 2, y: 2, l: 1, z: 2, d: 2, q: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 7*s**2 - 5*s - 3. Let p be q(5). Let k = 8 + p. Suppose -4*l - t = -23 - 17, -2*l - 3*t + k = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 438403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 221593 - -4?\nAnswer: 221597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o - 3. Let p(h) = -5*h - 8 - 8 - 6*h**2 - 11*h. Suppose 0*x + 12 = -4*x. Determine x*p(i) + 16*u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*m = 239, 2*r = -2*r - 5*m + 318. Let l = r - 85. What is the smallest common multiple of 97 and 13 + -4 - l\/(-2) - -2?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -18. Let f(s) = s**3 - s**2 - s + 14. Let a be f(0). Suppose z*o - a*o = -2. Solve -o*c = -5*b - 4 - 19, 2*c + 4*b + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 - 50*g**2 + 51*g - 3. Give i(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 268\/3 + 3 - (-2)\/3. What is the highest common divisor of k and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.97, 1, 20, 3.2 in increasing order.\nAnswer: -0.97, 1, 3.2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.8. Let r = v - 0.1. Let j(k) = 4*k. Let m be j(1). Which is the second smallest value? (a) -1\/6 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 10) in base 6?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*h - 2)*(-3 - 1 + 3) + (2 - h - 2)*(2 + 6 + 0).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 9*q + 250. Let j = q + -452\/9. Let o be ((4 + -1)\/3)\/1. Is j less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, c: 3, b: 3}. Give prob of sequence brb.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*t**(-20))\/(t**(13\/2)*t**(-1\/11)) assuming t is positive.\nAnswer: t**(-1129\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8332 divided by -6?\nAnswer: 4166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 18 + 2. Let p(h) = -1 + z*h - 6 - 1 + 2*h. Let c(w) = -w + 2. Give -9*c(v) - 2*p(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -167\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 12*q**2 + 12*q + 20. Let t be x(13). Solve -t*c + c + 5*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.65 + 1265016669638.\nAnswer: 1265016669639.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0.2, 4\/5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94550.2467 from 0.32685.\nAnswer: -94549.91985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 4476*y\/7.\nAnswer: 2*y*(y + 2238)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 3*z - 180. Suppose -t - 3*w = 2*w - z, -3*t - 4*w = -21. What is the first derivative of -4 + 10*b - 6*b + 2*b + t wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (-1*sqrt(204) - sqrt(204)))\/sqrt(12)*6 - (-3 + (sqrt(34)\/(sqrt(2) - (sqrt(2) - sqrt(6)\/sqrt(3))))**2).\nAnswer: -6*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18593, 18598, 18603, 18608?\nAnswer: 18613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, -2, 5 in descending order.\nAnswer: 5, -2, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-14))\/((-8)\/28). Suppose -v + 27 = 5*b, 5*b - 17 = 2*v + 2*v. Solve -v*q - 12 = o*y, -15 - 3 = 4*q - 2*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {j: 2, y: 1, t: 2, e: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -89*j - 2. Let y(g) = -179*g - 3. Calculate -7*k(x) + 4*y(x).\nAnswer: -93*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -11 - (5 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 10*l - 1. Let a = -16 + 20. Let m(w) = -2*w**2 + 9*w. Let k(j) = a*t(j) - 5*m(j). List the prime factors of k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 233*c. Give t(-1).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 3*f**2 + 5*f + 7. Suppose s + 3*y - 15 = 0, -5*s - 2*y - y = -27. Suppose 0*d + 4*r - 1 = -s*d, -d + r = 9. Is 11 a factor of i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 12:45 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -764 - -786. Is 2 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-64)*-4*(-8)\/(-15). Let g be (-1)\/(-2) + 2\/12. What is the second smallest value in -1, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**35\/g)*g*g*g**(6\/25))**(-12))**(1\/79) assuming g is positive.\nAnswer: g**(9228\/1975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34378928 and 8594732.\nAnswer: 34378928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-11*r + r + 2*r) + (3 - 3 + 1)*(-r + 0*r - r) + 3*r - 3*r + 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiwiirigrrr. What is prob of sequence wyr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:42 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021311 to 6 decimal places.\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/4 - -1\/8. Which is the closest to 0.03? (a) 0.5 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = q, -3*q + 39 = 5*z + 3. Let i(p) = 0*p**3 + 8*p**2 + 5 - p**3 + p**2. Is i(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66.93 + 70. Let j = h + -0.07. Put -3, j, 0 in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.4 + -8.3. Put 0.2, 6\/7, v in decreasing order.\nAnswer: 6\/7, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*z - z + 106, 0 = 5*c + 2*z - 182. What is the highest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Let h = -208 - -203. Which is the second biggest value? (a) m (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -65, 975, 4, 2, 169?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16805, 33619, 50433?\nAnswer: 67247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22075157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1945911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -800, 911, -5.\nAnswer: -800, -5, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 535760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b439 (base 12) to base 16.\nAnswer: 50bad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/36 + 224*k**3\/9 - 25088*k**2\/3 + 496*k. Find b such that o(b) = 0.\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(187) - (-5*(sqrt(187) - (sqrt(187) - 1*sqrt(187))) + sqrt(187)))*-6)\/(1*sqrt(704) - (sqrt(11) + 6*sqrt(99)))*-6.\nAnswer: 720*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14187\/22 - -645. Which is smaller: i or 63?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2 + -7.2. Let b = -0.2 - -0.2. Put c, b, 2 in descending order.\nAnswer: 2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549739043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4fbcb7a - 2?\nAnswer: 4fbcb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - f + 8. Let u be o(-9). Let k = u + 207. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -735000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/8)\/(10\/377800) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -4\/9*b**3 + 0 - 3*b + 4\/3*b**2 + 1\/18*b**4. Determine q so that r(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6\/1093063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*d*m**3 + 2*d - 152*m**3 + 10*m**2 + 3*m - 13 wrt m.\nAnswer: -420*d - 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1794 by -897.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 85, 0, 5 in ascending order.\nAnswer: -2, 0, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6*1\/(-2)*6. Suppose -g*z + 3*b + 28 = 0, 0*b = -4*z + 5*b + 36. Solve -m - 3 = -z*m - 2*w, -2*w = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 14) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10342 + -662?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 167*f**2 + 15059*f\/4 + 41745\/2.\nAnswer: -(f - 690)*(f + 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3) + -3)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461919191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/339 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2968.874 + -2978. Let c = -9.2 - r. What is c rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984033 (base 11) in base 10?\nAnswer: 3343508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, m - 6*m = -5*x - 30. Suppose -3*q = -2*q - m. Let s(d) = 12*d + 1. Is s(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21283 + 0.01283. Which is bigger: 1.197 or m?\nAnswer: 1.197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 3*p + 5. Let w(o) = -3*o**2 - 2*o + 5. Calculate -5*c(v) + 4*w(v).\nAnswer: -2*v**2 + 7*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 51.3572724ns?\nAnswer: 0.000000000000084916125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*x**2 + 612224*x - 1806634 wrt x?\nAnswer: -4*x + 612224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 + 151 = 13*y. Let c = y + -95. Let f be 1 + -1 - (-15)\/(c + 6). Solve -2*t - f*t = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1647 + -6673\/4. Find the common denominator of 101\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -25*v**3 + 86330*v**2 + 761480*v + 553920 = 0.\nAnswer: -8, -4\/5, 3462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**48*c**(-6\/5)\/c**(1\/4))**15 assuming c is positive.\nAnswer: c**(2793\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7611.847 years in centuries?\nAnswer: 76.11847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -92*w - 172. Let k be m(-5). Suppose 3*z + 876 = 3*x, 0 = -x + 7*z - 8*z + k. Calculate the greatest common divisor of x and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 1\/(1*(-4 + 3)). Suppose -t*z = -3*z - 276. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 18\/7 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*u + 9*u + u**2 + 5 + 50*u - 2*u**2 - 2*u as l*u**2 + c + o*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/30 and -25\/145842.\nAnswer: 729210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-18*g + 3*g + 8*g)*(3 - 3 + 2*g**2 + (-2 + 5 + 2)*(17*g**2 + 9*g**2 - 8*g**2)) in the form z*g + m + q*g**2 + c*g**3 and give c.\nAnswer: 1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 23. Let i = u + 8. Suppose -13*h + 151 = -5. What is the smallest common multiple of h and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1\/2*-6. Suppose 4*g = 4*z + h*g - 48, 2*z - 34 = -2*g. Suppose 18 = 5*b + 4*x - 37, 3*x + z = 4*b. Calculate the least common multiple of b and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12254 + -7689. Suppose -4*p = -5*h - f, 2*h + 3432 = 3*p + h. Suppose 0 = 3*x + p + 295. Round x to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 59*m + 14. Determine r(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 + 3)*(-12)\/48. Factor 1\/2*q**2 + 0*q + 0 - 3\/2*q**3 - 1\/2*q**5 + 3\/2*q**s.\nAnswer: -q**2*(q - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j**(2\/7)\/j))**34 assuming j is positive.\nAnswer: j**(1598\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 3*n - 40. What is the remainder when g(12) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4, 5*m = 10*w - 7*w + 256. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 346399 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/3 - 247*j**4\/3 + 80477*j**3\/3 - 1780795*j**2 + 24759204*j = 0. Calculate j.\nAnswer: -452, 0, 19, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 15. Let w be j(-6). Suppose -15 = -5*y, -w*n = -y + 2 - 5. Let x be (-3)\/n*16\/108. Which is the third biggest value? (a) -4 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447*-0.3.\nAnswer: -134.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 8. Suppose -k - 20 = -4*r, k + 0*k = 4. List the prime factors of f(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039082571 to five dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (693558\/(-36) - -1)*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171.6 + 26.9\nAnswer: 198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1386 or -1333?\nAnswer: -1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-1\/3)\/b*b)*b*b*b\/((b*b**(2\/21))\/b))\/((b\/(b*b**(-2\/3)))\/(b**0*b)))**(-3\/8) assuming b is positive.\nAnswer: b**(-75\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 2*w**3 - 3*w**3 - 3*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -437.03 - -437. Let d = -8\/11 + 27\/22. Which is the closest to d? (a) 3\/4 (b) v (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/((-125)\/(-30) + -5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + -1 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ornululn. Give prob of picking 1 u and 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-4 - ((-8 - -4) + (28 - 28) + -8))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -181*h*t**4 - 106018*h*t**2 - 2*h + 28437279 wrt t?\nAnswer: -724*h*t**3 - 212036*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 10 = -12. Suppose s*p + 3 = -3*a, 2*p - 3*a = -a + 12. Solve -4*f + 4*z - 4 = 0, -p*f + 5 = -0*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/1*(-1596 - -1592)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - -20)) + (317 - 329)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplt when four letters picked without replacement from {t: 8, p: 7, a: 1, l: 2}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 27 = -316*u + 311*u, 2*z = -2*u. Solve -3 = -0*a + z*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3*d**2 - d**2)*(-8147*d**2 + 5532*d**2 + 5267*d**2).\nAnswer: 5304*d**4 + 2652*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 26. Let w(o) = -40*o - 154. Calculate 34*t(v) - 6*w(v).\nAnswer: 2*v + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 1, -r = 5*y + 9. Let p = 10 - 4. Let s = y + p. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36183 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/((-20)\/(-4))*136\/(-1020)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 3, k: 4, f: 5}. What is prob of sequence ffa?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 - a**2 + 1. Let t be h(-1). Find the third derivative of -4*r**2 - r**4 - 2*r**4 + 0*r**t - 2*r**4 wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*2 + sqrt(36))\/(sqrt(96)\/sqrt(2)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182 equal to 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102313 (base 6) in base 10?\nAnswer: 241605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2968874?\nAnswer: 2, 1484437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from kkkccckcccccck.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -19 - (9 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*n + 310, s + 373 = -6*n + n. Calculate the common denominator of (-2*(-10)\/n)\/((-4)\/70) and (297\/(-6) - 1)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 1*sqrt(95)*-2)\/(-5*(sqrt(5) + sqrt(10)\/sqrt(2))) + 2 + (2*(sqrt(19) - sqrt(57)\/sqrt(3)) - (sqrt(931) + 1 - sqrt(931))))**2.\nAnswer: sqrt(19)\/5 + 119\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 5*h - 9. Let i(m) = -28 + 0*m**2 + 14*m + 13*m**2 - 3*m**2 + m**2. Let n(g) = 3*i(g) - 8*k(g). Is 6 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (-36 - -23) - -30 - 22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + 0*x)*(-2*x**2 - 3*x**2 + 6*x**2) + (-1 - 2*x**2 + 1)*(-2*x + x + 0*x) + 0*x**3 + 0*x**3 - x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090384716 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -14774048?\nAnswer: -14774061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3035, -1886, -4 in decreasing order.\nAnswer: -4, -1886, -3035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*s**3 - 299 - 34*s**2 - s**3 + 299 wrt s?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*w - 6 = 2*w, 15 = 5*f + 5*w. Suppose -114 = -f*a - 6*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*k + 4, 3*z + 3*k + 2*k = 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*o + 130, 4*o = -5*u + 8*o + 130. Let a be 3*(u\/6 - 2). Suppose -i - 2*h + a - 1 = 0, -20 = -4*i - 4*h. Sort -4, -1, i.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.4+-1476457546\nAnswer: -1476457557.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 1151376*c**2.\nAnswer: 4*c**2*(c + 287844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2881 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 345\/12 - (-12)\/(-16) - -4. Suppose -44 = -6*v - d. Solve 2*x - l = 10, -l - v = -0*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758 a factor of 1224270684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -428.607 + 428. Let p = -3 + 3.107. Let i = f + p. What is the smallest value in -0.6, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-301)\/3 + 4\/12. What is r rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -24. Let v be 13\/s + (-1)\/(-2). Solve v*j - 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 24 - 34 + 73 - 87665*n + 87660*n.\nAnswer: -5*n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4309092 and 1436364.\nAnswer: 4309092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 3*g**2 + 3. Let u be 4\/(-24) - (-134)\/12. Let m be (u\/22)\/(2\/(-4)). Let s(l) = l**3 + l**2 + 1. Determine m*z(f) + 3*s(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**5 - s**4 + s - 1. Let k(g) = -13*g**5 - 2*g**4 - 8*g - 2. Let n(y) = -k(y) - 5*u(y). What is the second derivative of n(c) wrt c?\nAnswer: 360*c**3 + 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-2)\/6 - -1). Suppose 0 = 5*v - 6*v - u*n - 2, -5*v = -n - 12. Solve -2*g + 14 = v*z, 5*g - 3 = 4*z - z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 13f3?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2826*1.05\nAnswer: 2967.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**8\/1512 - s**6\/270 + s**4\/108 - 2*s**2 - 4*s. Let t(b) be the first derivative of l(b). Solve t(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51656927 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 12*t - 22*t = -29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1271\/5 + -254. Let l(c) be the second derivative of b*c**3 - 1\/10*c**4 + 0 - 1\/5*c**2 + 1\/50*c**5 - 2*c. What is w in l(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/9)\/(o\/(o*o*o*o*(o\/(o\/(o\/o**(-2\/15))))\/o*o))*o**(-2\/11)*o*(o*((o\/(o*o**(3\/14)))\/o)\/o)\/o assuming o is positive.\nAnswer: o**(22049\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25\/2 - -12. What is the third smallest value in -2\/3, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from {q: 7, d: 7, r: 4}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 47*t + 34. Let x(u) = 5*u**2 + 93*u - 67. Let i(k) = 5*o(k) + 3*x(k). What is the remainder when 185 is divided by i(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59097881669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/46*((-2)\/1 + 48). Suppose 41690000 = t*f - 34*f. Round f to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*m + 722 + 706, -4*m + 1456 = -5*h. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306 - -328. Differentiate w + 53*i**4 + 11*i**4 - i**3 - 19 - 66 wrt i.\nAnswer: 256*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5100 - 2771. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3330 = 3*i + 3*k, 2*i + 3*i - 2*k - 5585 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**9\/252 + 929*m**7\/105 - 367*m**5\/20 + m**4\/24 + 863*m**2 - m + 3. Find the third derivative of z(b) wrt b.\nAnswer: 240*b**3 + 44592*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55024, 110048, 165062, 220060, 275036, 329984, 384898?\nAnswer: 439772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 150.348954 hours?\nAnswer: 0.89493425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -4\/3*v**3 - 196*v + 28*v**2 + 43. Factor m(c).\nAnswer: -4*(c - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.025? (a) 3 (b) 1\/7 (c) 69 (d) -36 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100201332 (base 4) to base 7.\nAnswer: 401256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632197765.\nAnswer: 5, 1663, 76031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4487.\nAnswer: 5\/4487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15173064104.00000386 - 15173063847. Let g = v + -257. What is g rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 120. Let y = i - 95.999951. What is y rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/287955 and 67\/2015685.\nAnswer: 2015685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*m**2 + 8\/3*m + 16\/3 - 2\/3*m**3 = 0 for m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed - 44?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4735 or -1\/1810?\nAnswer: -1\/1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 3*x - 2. Let n be m(2). Let w be (-2)\/(-8) - 6088\/n. Round w to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)\/j)\/j*j)**42 assuming j is positive.\nAnswer: j**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341368404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q*x**4 + 4*q*x**2 + 13*q*x - 555*q wrt x.\nAnswer: 20*q*x**3 + 8*q*x + 13*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4860*((6\/6)\/(-70) + 6\/(-30)). Which is greater: u or 1041?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(((-4)\/(-4))\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpkkpukkppku. What is prob of sequence kupu?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 938, 1405, 1872?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = 3. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 12*l**4 + 1065*l**3 + 20133*l**2 + 14244*l - 4836 = 0.\nAnswer: -62, -26, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.2 + -19.1. Let a = 40114.10015 - 40121. Let v = i - a. What is v rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 63 - 426. Let y be ((-11)\/f)\/(2\/(-12)). Suppose y*d - 257 = 1041. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 414031?\nAnswer: -1242093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -15*h + 297. Determine k(16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -8) + (-12 - -11) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 20*k + 4 = 0. Is 30 a factor of (-1)\/k - 3\/(6\/(-301))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 q, and 1 n when four letters picked without replacement from {l: 3, q: 5, n: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 19 + 7 = 0. Suppose 0 = x - p + 3. Suppose -2*i = -x, -i - 259 = -3*y - 3*i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 4. Let o(x) be the second derivative of x**3 + 11*x**2\/2 + 9*x. What is -17*j(q) + 6*o(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -440234 (base 7) in base 10?\nAnswer: -76955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 17*h**2 - 4*h - 5. What is the remainder when q(-17) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -3*c, 11 = 5*h - 4. Suppose -c*b = -3*b. Solve 5*v - t + 21 = -2*t, -5*t - 5 = b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u = 24*u + 476600. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*n - 0. Solve -n*r - 22 = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9383 + -1.838365. Let j = -0.3 + 0.2. Let f = y + j. Round f to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 14.211 (b) -3\/2 (c) -6 (d) -3\/8 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:40 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 2. Let z be s(-4). Suppose -5*i + 0*i = -75. Calculate the greatest common divisor of i and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(4\/30)\/(10\/45). Let c(p) = p**2 + p - 1. Let u(j) = 2*j**2 + 3*j - 3. Give o*c(a) + u(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 22. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 2. Let g be n(-1). Let v be 6\/(-15) + 36998\/g. Round v to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(192)) + 2 + 0 + sqrt(192))**2.\nAnswer: 160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -17*h**9\/504 - h**8\/112 - 2*h**5\/15 + 7*h**4\/24 - 313*h**2. What is the third derivative of u(n) wrt n?\nAnswer: -2040*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 55\/7, -395, -19?\nAnswer: 55\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 216716055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875302?\nAnswer: 2, 437651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007684573 to seven dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 48.71. Let g = -1.59 + m. What is the biggest value in 3, -0.38, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -646, 3, -2.\nAnswer: -646, -26, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 bigger than 55\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 5*r + 5. Let v be i(2). Solve v*h + 2 = 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 2169 + 7815. Calculate the highest common factor of 39 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790940?\nAnswer: 2, 3, 5, 7, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -41, -78, -127, -194, -285, -406, -563?\n\"Answer: -x**3 + 3*x**2 - 33*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 26*z + 59. Calculate s(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/380 and -15\/532.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250032035 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8588973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v - 5*p + 180, 0 = 5*v - 4*p - 278. Let d = v - 14. Let f = -11 + d. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:39 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 433936716.\nAnswer: 4773303876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162301177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/65 + 1386\/(-572))\/(22\/(-8)). Which is the closest to l? (a) -0.5 (b) -0.1 (c) 3\/2 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/30 and -97\/4659660?\nAnswer: 4659660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 - 487 = -231*p - 1257 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -1\/24*v**4 + 0 + 5*v**2 + 0*v - 1\/60*v**5 - 29\/40*v**6 + 0*v**3. Is m(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4569711716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkdnhbh. Give prob of sequence rhdb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 + 6*k - 2. Let v be z(-4). Suppose -v*g + 21 = 39. Sort 0, -1, g, 3 in descending order.\nAnswer: 3, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 814 and 43771.\nAnswer: 962962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + 5*b**2 - 2*b - b**2 + (-4 + 2*b + 4)*(90 - 90 + 25*b) as u*b + l + i*b**2 and give i.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 d, and 1 x when four letters picked without replacement from xxxqxdd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(343) - sqrt(343)) + 2*1*sqrt(343))**2.\nAnswer: 84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*x**2 + 149*x**2 + 421*x**2 + (-3*x - x + 3*x)*(-3*x - x + 3*x) to the form r*x**2 + d + n*x and give r.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 5*v, 0 = -q - v - 0*v + 1. Suppose -g + 47 = 4*t - 2*g, 0 = -2*t - q*g + 13. Differentiate 3 - 7*n - 17*n**2 + t*n - 4*n with respect to n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 2}. What is prob of sequence ssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7108.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215*l + 0 = 1217*l - 8. Let q(g) = 6*g**3 - 6*g**2 - 5*g + 4. Let s(v) = -6*v**3 + 5*v**2 + 4*v - 3. Give l*s(a) + 3*q(a).\nAnswer: -6*a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c. Solve 5*m - 4*i + 3 = c, -2*m - 3*m + 2*i + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - v**2)*((2*v + 0*v - 7*v)*(-1 - 3 + 3) - 1 + 1 - v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (474\/765 - (-3)\/(-5))\/((-898)\/(-5388)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005108458 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (-2*sqrt(288)*1 - sqrt(288)) - (sqrt(288)*-2 + sqrt(288) + sqrt(288) + 5))**2 + 4 + (-4*sqrt(288)*-3)**2 + -5.\nAnswer: 240*sqrt(2) + 42648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (10*-1 + -3). Let y = s - -11. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 529, 1174, 2027, 3190, 4765?\n\"Answer: 17*z**3 + 2*z**2 + 520*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 1 + 2*h - 2*h. Let x be 116\/(-14) + 2\/7. Let y = -4 - x. Give n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8944352 or -8944354?\nAnswer: -8944354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/((-5)\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + k + 2. Let n(a) be the third derivative of a**6\/120 + a**4\/24 + a**3\/6 - 8*a**2. What is -g(f) + 2*n(f)?\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**8\/504 + g**7\/105 + g**6\/180 - g**5\/30 - g**4\/18 + 25*g**2. Determine z so that v(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from oohobbohb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-70)\/(-15))\/(-7))\/((-10)\/212145) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 19 + 6)*(20 - 20 + 8*w + (3 - 5 + 1)*(w + 0 + 0)).\nAnswer: -14*w**2 - 84*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -6. Let j = 3 - 2. Let w = 0 + j. What is the nearest to 0.2 in g, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1612)\/(-2015)*1220\/(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-32)*0\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-20)*(-4)\/(-6). Suppose 1 + 1 = 2*k + b, -b - 4 = 0. Suppose 2*s + 10 = -k*s. What is the nearest to -2 in x, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(19) + -3)**2 + (5*(sqrt(171)*2 + sqrt(171)))\/sqrt(9).\nAnswer: 24 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025104940.\nAnswer: 2, 5, 23, 59, 107, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 30068100?\nAnswer: 210476700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/9)\/((-2300)\/31050)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5493*r**2 + 29 - 42.\nAnswer: -5493*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) + sqrt(3) + sqrt(9)\/(sqrt(3) + sqrt(27)))**2.\nAnswer: 163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + 2 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -31*b**4\/4 - 5*b**3\/3 - 3*b**2 - 3*b + 26. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 1. Let m be o(0). Solve 3*i + m = -6*b + 2*b, -4*b + 17 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 29. Let z = -18 + u. What is the second derivative of 0*x - 12*x - 1454*x**z + 1475*x**4 wrt x?\nAnswer: 252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4766, -4765, -4764?\n\"Answer: v - 4767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 479 - 5*q - 238.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 182193.952077 and 139.\nAnswer: 182332.952077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -0.4, -0.32, -1, 1\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 11. Suppose -6*y + 7*y = v. What is the second derivative of -n**y - 2*n + 2*n**5 + 3*n - 3*n**5 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77308417.\nAnswer: 77308417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-1\/19)\/(g*g**(1\/3))**29*((g**(-5\/4)\/g)\/g**(2\/5))\/(g**(1\/2)\/(g\/((g\/(g*((g\/(g*g\/g**6*g))\/g*g)\/g))\/g))) assuming g is positive.\nAnswer: g**(-10489\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 - 7*h + 4. Let w(b) = -4*b**2 + 5*b - 8. Let z(n) = 1. Let x(i) = -w(i) - 5*z(i). Calculate -5*k(v) + 7*x(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10 + 24 - 13*a**2 + 2*a + 34*a**2 + 8*a. What is the tens digit of f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6116777 is divided by 88.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 939 + -2371. Let y be f\/(-14) + (-4)\/14. Suppose -4*x + 418 = -y. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-23))\/((650\/20)\/65).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.25196 - 63.74804. What is the closest to -3 in c, -0.02, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 2. Calculate j(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/49311 and 11.\nAnswer: 49311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1227466, 1227467, 1227468, 1227469, 1227470, 1227471?\n\"Answer: t + 1227465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/68? (a) -0.5 (b) 2\/7 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 2*k**7\/35 + k**6\/30 - k**5\/5 - k**4\/6 + 8*k**2. Factor d(g).\nAnswer: 4*g*(g - 1)*(g + 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1*3)\/1)\/(24\/(-48)). Let k(m) = 4*m**2 - 5*m - 6. Let o(w) = -3*w**2 + 4*w + 5. What is v*o(s) + 5*k(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -12648.\nAnswer: 1\/6324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-616)\/(-1155) + 3\/((-90)\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - (-2)\/8. Let o = 67 - 468\/7. Which is the third smallest value? (a) 4 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -23, -47, -91, -161?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 165. Suppose -2*q + 537 = y. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0348583 micrometers in nanometers?\nAnswer: 34.8583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -35\/134?\nAnswer: -35\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93853 is divided by 31259.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5 + 11*x**2 - 2*x**3 + 1 to the form n*x + k*x**2 + b*x**3 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -7)*4\/(-8). Let a(o) = 3*o + 0*o + w*o**2 - 3*o. Let y(h) = 0*h + 2*h + 2*h. Give y(a(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21418\/247 + 1130\/13. Let q be 1\/2*(2 - -2). Suppose 4*j = -3*o - 5 + 1, 3*o - 2 = q*j. Is b <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:57 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1 - 2*b - 1 - 7. Suppose 8*n - 175 = -111. Give x(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 21*x - 42*x + 5*x + 16*x + 4*x + 11*x.\nAnswer: 15*x - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 509 - 110 = 0. Is 10 a factor of 2 - (-3 + 8) - r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5 + 1902*u**4 + 273075*u**3 - 9203124*u**2 = 0?\nAnswer: -331, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 54. Let g(l) = -l**3 - 63*l**2 - 927*l + 360. Calculate the remainder when c is divided by g(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1674 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -6*v - 19*q - 23, -2*v + 5*v - q - 59 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12520 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*g**3 + 95*g + 3 + 1 - 64*g + 119*g**2 - 91*g.\nAnswer: (g + 2)*(3*g - 1)*(25*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 4d?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine quarters of a week?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078167?\nAnswer: 3, 359389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181513.\nAnswer: 181513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 divided by -2?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*b - 80, k + b - 30 = -9. Suppose -5*c = 4*t + 33, t + 4*c = -5 - k. Let m be (t\/(-6))\/((-3 + 4)\/3). Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 124\/66 + 5436\/(-9966). Solve -1\/3*v**3 + 0 + k*v + v**2 = 0 for v.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -11971.\nAnswer: -6\/11971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 7}. What is prob of picking 2 z and 1 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799*z - 2408 = -2143*z. Suppose -5*t + 17 = -3. Solve -t*n + z = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 2\/13 (c) 4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1112020010221112?\nAnswer: 1112020010221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (66 - 1)*(-36)\/(-60). Let m = 220 + c. Let k = m - 5301\/20. What is the common denominator of -91\/20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2007.000001828 - 2007. What is f rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12204, -11748, -11292?\n\"Answer: 456*g - 12660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (12 - 2) + (1 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 5. Let a be y(-4). Solve -4*r - 3 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 t when three letters picked without replacement from qotoqoqt.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152908868 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 x when three letters picked without replacement from ulxuuuvluvvvlxvuvvx?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Suppose -2*i = 12 - 0. What is the smallest common multiple of r(i) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*s + 25 = -40, 0 = -3*g - 5*s + 15. Suppose 4*y = 2 - g. Sort y, 5, -9, 3.\nAnswer: -9, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127769433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 9025128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251215 + -5?\nAnswer: 251210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -45*q + 1. Let m(t) = -2526*t**2. Determine g(m(i)).\nAnswer: 113670*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-317383)\/(-86)*2573\/(-69). Let o = m - -137619. Calculate the common denominator of 91\/4 and o.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Suppose -4*l + 3*o = -5, -l + 5*o = 2*l - 1. Let f(p) be the second derivative of -1\/12*p**4 + 0*p**3 + 0 + 0*p**l - 5*p. Give m(f(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**3 - 4*r**2 - 4*r - 29. Let q(t) = 3*t**3 + t**2 + t + 7. Let u(b) = -2*h(b) - 9*q(b). Calculate u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4768 + 4804. Let h be (45 + 0)*1*2. What is the greatest common factor of j and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86719, -86716, -86713, -86710, -86707?\nAnswer: -86704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 17\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.06 (b) 2 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6283 + 0.7283. Which is the nearest to 0.1? (a) 3\/5 (b) -4\/21 (c) v (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78194 - 78194. Let q be 4\/(-3) - (-5 - -4). What is the nearest to q in 3\/11, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*j + 115 = 0, -19*m + 3*j + 419 - 305 + 459 = -2*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 135, 275, 415, 555?\n\"Answer: 140*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 81129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36163, 72206, 108221, 144202, 180143, 216038?\nAnswer: 251881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1 (b) 0.3 (c) -340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/13, -1\/6, 2\/13, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3058\/27244)\/((-440)\/160).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*2 + 4)**2 - -5*(sqrt(72) - (sqrt(72) + 0)).\nAnswer: 24*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13680 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, -70, -0.3, 1\/2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 525 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 17 + (-32 - -43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 11. Let n = -48 - -50. Suppose 5*r = 3*q + 3*r - 10, n*q - 3*r - 5 = 0. Calculate the least common multiple of q and o(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 148000 = w. Round w to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-204)*0)\/(-1)*(-26)\/208\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20045 at most as big as 20087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -41*z + 78*z - 38*z + 1. Suppose 6*t + 3 = v + 4*t, 5*v - 15 = -4*t. Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + j + 10 = -j, -5 = -j. Suppose z = i + 4. Let s(d) = d**2 - 6*d + 9. Does 9 divide s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + (10 - -10) + (20 - 66) + -19\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -21*g + 18. Let i = 38 + -56. Let q(y) = -y + 1. Determine i*q(p) + j(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -348*t + 35. Is 13 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.79006*0.3\nAnswer: 0.237018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*v + 160*v = -90. Sort 0.1, v, -1, 1\/9 in decreasing order.\nAnswer: v, 1\/9, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q - 4. Let d(r) = -210*r + 45. Let m(w) = -4*d(w) - 45*s(w). Let v(b) be the second derivative of -b**4\/6 - 8*b. Calculate m(v(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/8)\/(1 + -2). Let t = -7 + 3. Let d = -0.931 + 1.231. Which is the nearest to -0.1? (a) d (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 152 = 3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78982691418 and -58.\nAnswer: 78982691360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -7024586 (c) -4\/5 (d) 5 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -49?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d - 9. Let l be k(1). Suppose -3*x = -p - p + 509, -l*p = 2*x - 504. List the prime factors of p.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 2*j**2 - j + 1. Let c(g) = 2*g**3 + 3*g**2 + 2*g - 2. Give 2*c(b) + 2*s(b).\nAnswer: 2*b**3 + 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3279 - 3280. Which is the third biggest value? (a) -3 (b) j (c) 0.132 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 1, -2.9, 0.3, 1\/33, -1?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200012112002202 - 20?\nAnswer: 2200012112002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*c**2 - 63*c**2 - 67*c**2 - 68*c**2.\nAnswer: -47*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1119483, -1119691, -1119911, -1120149, -1120411, -1120703, -1121031, -1121401?\nAnswer: -1121819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/57514 and 101\/3860?\nAnswer: 575140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-24)*12\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 8*r**2 + 433*r - 835*r + 401*r - 5*r**2 + 12*r**2 + 13*r**2.\nAnswer: 32*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1051094125 from 70.154.\nAnswer: 1051094195.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3150 and 61\/2430.\nAnswer: 85050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -42. Let m = 10 - p. Let k(h) = h**2 + 5*h + 6. Calculate k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164669, 164718, 164767, 164816, 164865?\n\"Answer: 49*v + 164620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*d - 3*d = 8, 10 = -4*g - 2*d. Let o be (-4)\/(-66)*-27 - -2. Which is the smallest value? (a) 0.1 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 69*l**4 - 6*l**2 - 6*l + 67. Let z(h) = -h**2 - h + 1. Let c(m) = -d(m) + 6*z(m). What is the first derivative of c(k) wrt k?\nAnswer: -276*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 9 - 48) + 11 + 1 - -23.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + d - 2*d + d to the form t*d + g + i*d**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a85ba (base 12) to base 4.\nAnswer: 10221031132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4598 + 4724. What is the highest common divisor of k and 6636?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90157643 and 3.\nAnswer: -270472929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -19*d**4\/24 + 380*d**2. Let t(m) = -99*m**2. Calculate t(l(r)).\nAnswer: -35739*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/196 and -1 + -2 - ((-3231)\/315 + 7).\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -27457, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 20*m - 72. Determine f(10).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.5, -6, -3, -2, 1.1 in decreasing order.\nAnswer: 1.1, 0.5, -2\/15, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 17. Sort h, 4, -4.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 + u - 22. Let q(c) = -c**2 - c - 1. Let i(z) = -n(z) + 6*q(z). Calculate the remainder when 23 is divided by i(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346 - 192. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.21 and -54.7.\nAnswer: -339.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3313 - 3307. What is the second smallest value in 0.23, w, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from ggemdmemgm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189619, -379571, -569523, -759475, -949427, -1139379?\nAnswer: -1329331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 248, 3, -0.2 in increasing order.\nAnswer: -3, -0.2, 3, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*r - 391 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -1 (c) 1\/7 (d) 0 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2. Let l(a) = -34*a**2 + 3*a + 3 - 13 + 4 + 3. Let i(n) = -3094*n**2 + 272*n - 272. Let t(z) = -3*i(z) + 272*l(z). Give t(s(f)).\nAnswer: 306*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)\/((-2)\/1). Solve j*z = 5*z + b + 19, 2*z + 7 = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + u - 10. Let k(o) = 7*o + 0 + 1 - 2. What is the tens digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -0.03?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98938 or 98732?\nAnswer: 98732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, 4, 322\/9, 0.4?\nAnswer: 322\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + -1 + -12 + (107 - (-50 - -117))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*l + 9*l. Suppose 0 = 3*v + k + 2*k - 3, 5*k = -2*v + 11. Let w be l*(v + 18\/4). Solve -w = -2*a + 5*g, 5*a - 4*g - 30 = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -90367.\nAnswer: -90364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 24. 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 prob of sequence axa when three letters picked without replacement from {p: 8, c: 5, i: 1, x: 2, r: 2, a: 2}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146816908 and 1316?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -104.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94.9 - 7.9. Let n = o - 86. Which is the biggest value? (a) 0.1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -21 (b) -1\/8 (c) 2\/19 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 4*x + 4. Let o be z(-3). Let u = 9 - 5. What is the closest to -2 in u, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*j**2 + h**2*j + 2036750*h**2 - 14059830*h*j**4 wrt j.\nAnswer: 2*h**2 - 168717960*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132961797.\nAnswer: 3, 109, 45179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*n = -3, -2*l - n = 3*n - 8. Let p(i) = i**l - 184*i + 184*i. Let w(z) = 3*z. Let m(y) = y. Let h(o) = 7*m(o) - 3*w(o). Calculate h(p(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.076922 - 0.0791. Round y to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 10 = v, -38*q - 51*q + 92*q - 4*v + 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*f**2 + f**4 + 0*f**4 - 4*f**4 - 15*f**2 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.5, 1, -1, 0.4, -14\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164164 divided by 41041.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1029203?\nAnswer: -3\/1029203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 34 (c) -3 (d) 8 (e) 4\/5 (f) 75 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 130, 113, 96, 79, 62?\n\"Answer: -17*a + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 189.36605?\nAnswer: -189.86605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - (2 + 6)) + (84 - -24) + -207?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/120 - l**5\/60 - l**4\/24 - 193*l**2. Let g(z) = -4*z**3 + 2*z**2 + 2*z. Calculate -3*g(t) - 6*p(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 152 = -4*o + 35, 2*o = -4*u + 104. What is the greatest common factor of o and 1426?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 2*s - 2. Let c be b(-4). Solve d - c*d = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*v**2 + 37*v**2 - 62*v**2 - 3*v - v**2 + 3*v + (-1 + 0 + 0)*(-v**2 + 0*v**2 + 3*v**2) - 2*v**2 + v**2 + 0*v**2 to b + r*v + f*v**2 and give f.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-48)\/(n*n**(-28)*n) assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2666)\/((-10)\/(-12)*(-16)\/40) is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-372))\/((-2)\/6). Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(24\/(-18) - 4\/6). Let z(f) = -f**3 + 4*f**2 + f - 1. Let n be z(u). Solve h + 19 = 4*w, 0 = 3*h - 3*w + 3 + n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -6 + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:16 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14682614 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -27, -32, -33, -30, -23?\n\"Answer: 2*z**2 - 15*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61617, 246408, 554395, 985578?\nAnswer: 1539957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489086725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/54 in 114, -2\/5, -1\/9, -4, -1, -10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noox when four letters picked without replacement from {x: 5, o: 2, n: 3, k: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 7:27 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c + 32 = 0. Let y be -1 - -1 - (c - 20). Solve -n = a, -2*a + 30 = -0*n - y*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25341 - p**2 - 2*p**3 - p**3 + 4*p**3.\nAnswer: p**3 - p**2 - 25341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469722473810 - 469722473810 + 20*q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*l - 12 = 0, 34 = 5*l + 14. What is the derivative of -50*d + 50*d + 9*d**m - 11 - 21 + 108*d**2 wrt d?\nAnswer: 234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -228.23, -8, 19\/4 in descending order.\nAnswer: 19\/4, -8, -228.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/6*22\/55\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*9\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 1, d: 1, j: 5, m: 6}. What is prob of sequence mmjd?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 106. Let h(w) = w**2 - 2. Determine h(k) - y(k).\nAnswer: k**2 - 3*k + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i + 72. Let s(o) = -26*o - 180. Determine 12*g(u) + 5*s(u).\nAnswer: 2*u - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 2*c - 6, -3*c - 9 = 4*m. Let x(b) be the third derivative of -1\/240*b**6 + 0 + 3*b**2 - 1\/48*b**4 + 0*b**3 - 1\/60*b**5 + m*b. Factor x(p).\nAnswer: -p*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, f: 2}. What is prob of picking 2 k?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*r + 1 = 0, -i + 5*r - 4 + 2 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 12:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101101 (base 2) in base 6?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367495 divided by 73499.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**31))\/l**(-27\/4))\/((l**(-8\/7)\/l)\/l**(5\/12)) assuming l is positive.\nAnswer: l**(1693\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -70. Suppose -3*o = -3*t - 2*o + r, t - 3*o = 4. What is the least common multiple of t and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i - 194 = -634 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 28 = 4*l, -4*h + 7*h = -3*l - 6. Let m be ((-611)\/(-520) - (-3)\/(-8))*5. Suppose -m*v = l*v + v. Solve 1 = -s - v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 7*m**3 - 20*m**3 - 835*m + 33*m**3 - 143*m**4 + 28*m wrt m?\nAnswer: -1716*m**2 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*o**2*p**2 + 1267216*o**2 + 2236*o*p - 72*o + 36*p**2 - p wrt o?\nAnswer: -262*p**2 + 2534432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -15*k + 18*k - 5, 2*j + 4 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88973910 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/48 + -511\/48. Let b = z - 34. What is the common denominator of 31\/6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 42\/12 + (-14)\/(-4). Let y = -299 + 298. Let f = 0.04 - 0.24. Which is the nearest to -1? (a) y (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*-0.04.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 7*q to o + g*q and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51477471 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000801778 rounded to six dps?\nAnswer: 0.000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let k = 391 - 262. Suppose a + 2*a = k. Let w(z) = -z**2 - 43*z + a*z. Calculate h(w(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 59673.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 9*r - 4. Suppose 0 = 3*o - 5*m - 33, 3*m + 3 - 14 = -o. Suppose -1 - o = -2*i. What is the units digit of s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50588650.\nAnswer: 2, 5, 7, 144539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:12 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 2. Let n(y) = y**3 + 6*y**2 + 4. Let o be n(-6). Suppose b - 10 = -o*b. Let x be d(b). Solve m - 2*s = 14, -m - s = -x + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dln when three letters picked without replacement from {d: 1, l: 4, f: 1, n: 2, h: 2, p: 7}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15)*-2*((-10857)\/88)\/(-47).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 543334\/27 + -20120. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j**2 + 15*j**4 + 0*j - 6*j - 29*j**3 + 35*j**3 + 6*j**2 - 3*j**2 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b + 24. Let c be a(11). Let s(v) = -v**3 - 8*v**2 + 11*v + 11. Determine s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -13610, 3 in decreasing order.\nAnswer: 7, 5, 3, -13610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5722*q = -4244*q + 5019*q - 71845 + 507144 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006497522331 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - 101898\/(-148). Suppose 3*d - 3*l + 28 = g, -7*d - 4*l + 1595 = 0. Calculate the highest common divisor of d and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 + 2 - 671*w - 435*w**2 + 671*w to m + c*w + p*w**2 and give p.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1333, -1332, -1331, -1330, -1329, -1328?\n\"Answer: i - 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 10*x**3 - 22*x**3 + 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 > 923\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.011 - 107.011. Let v = 6 + n. Let i = v + 100.9999817. What is i rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 18*m = 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 4*v + 1. Let x(r) = 132*r**2 - 120*r - 30. Let k(n) = 30*m(n) + x(n). Let o(w) = w + 11. Give k(o(h)).\nAnswer: 12*h**2 + 264*h + 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**2 + 56*x + 886 wrt x.\nAnswer: 8*x + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 24 + (-1860)\/75 + 5\/(25\/43284)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 0 - (-125 + 96)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 5*w - 2*w - w. Suppose 5*v + 2*h - 5*h = 124, 10 = 5*h. Let d(j) = v*j - 15*j - 7*j. Calculate d(a(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(-1 + 3 + sqrt(153)*-1 + -5*(-2 + sqrt(153))))**2.\nAnswer: -1656*sqrt(17) + 22561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 + 5*a**3\/3 + 119*a**2\/2 + 80*a. Find p, given that c(p) = 0.\nAnswer: -7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -2*u + 11. What is the common denominator of u and (-27)\/8 + 6 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhnnfojfo. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23461344 to the nearest integer?\nAnswer: 4844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m = 29*m - 4599. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from myeyyeeemye.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17125002 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -406.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**25\/((h*(h*(h\/h**(-25))\/h)\/h)\/h) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 426 = -17*c. Suppose 69*o + 4 = c*o. Solve o*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591230594 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 3, v: 1}. Give prob of sequence pi.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 - 7*g + 7. Let j(l) = -l**3 + l**2 + 1. Let v(d) = -2*j(d) + t(d). Let z be v(5). Put -1, z, 3 in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 29 = -2*n, -21*s = -24*s + 3*n + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, 40, 102, 192, 310, 456?\n\"Answer: 14*l**2 - 8*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -95*j**3 - 2*j**2 + 3*j + 1. Let c be l(-3). Suppose 319 = -6*y + c. Suppose -y = -4*f - 150. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((6\/(-8))\/(15\/10)). Find the third derivative of -t*v**2 + 2*v**4 - 5*v**4 + v**4 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = m + f, 0 = -2*m - 2*m + 3*f + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5602697?\nAnswer: 5602697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547092 divided by 19539?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1166 and 7632.\nAnswer: 8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 25434154 to the nearest 100000.\nAnswer: 25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-684)\/(-266))\/((-1)\/(-42)). What is the greatest common factor of 243 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 + 600. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298 a factor of 586791090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 115785.\nAnswer: 115785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 46326?\nAnswer: 46324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = -20*x - 6, k = x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*l - 1334 - 1270, 2*i = -l - 1303. Let h = 633 + i. Let a(z) = z**3 - 2*z**2 + z - 2. Let v be a(2). Sort 1, -3, h, v in descending order.\nAnswer: 1, v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v - 2*v - 2*v + (95*v - 185*v - 4 + 86*v)*(-1 + 0 - 2) in the form b + u*v and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/99 and 113\/48?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*j - 6, -42*h - 5*j = -80*h + 36*h - 1 + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.2 + 8. Let s = 32 - 21. Suppose -4*h = 1 + s. What is the second biggest value in h, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35400355 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z + y - 3*y, 0 = -4*z + 2*y - 12. Let m = -119\/990 + 2\/99. Let q = 3\/40 + 53\/360. Which is the nearest to z? (a) m (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 11 + 23*v - 4)*(-6*v**2 + 0*v**2 + 8*v**2)*(-2 + 2 + 4)*(0 + v + v + 2) in the form b*v**4 + m*v**3 + a + j*v + x*v**2 and give b.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736044169 to the nearest integer?\nAnswer: 27130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -179162149 at least -179162149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -630*j + 1285*j - 636*j - 76 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 10*d**2 + 10*d + 2. Let k be p(4). What is the second derivative of -k*f**2 + 65 - f**3 - 135 + f + 67 wrt f?\nAnswer: -6*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 15*w + 5*w**2 + 7*w - 93 - 96 + 284.\nAnswer: 5*w**2 + 22*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11604, -23149, -34694, -46239, -57784?\nAnswer: -69329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*h = -34, -3*h + 6 = -2*d - 12. Let t be (-544610)\/21000 + d\/(-9). Let r = -3\/175 - t. Calculate the common denominator of r and -67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1166 + -301421?\nAnswer: -300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-238*m - 3 - 449*m - 118*m + 194*m)*(4*m**2 + m**2 - 6*m**2) to b*m + f*m**2 + s + h*m**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*f, h + 0*h + 3 = 0. Let n be 185\/37 - (5 - 1). Suppose 5*w = f*d - 58, d = -4*w + 3 + n. Calculate the remainder when 21 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*t**3 + 21*t**2 - 6*t**3 - 28*t**2 in the form p + r*t + c*t**2 + j*t**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 24*l**2 + 8*l - 7. Let h(b) = 12*b. Let o be h(2). What is the units digit of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -143*n + 20. What is the tens digit of l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 17 = 39. What is the closest to 5 in 1\/4, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12601 = -2*u, 0 = 5*u + 4*q - 19535 - 11993. Suppose 2528 = -7*b + u. Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26473.03 milligrams in kilograms?\nAnswer: 0.02647303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 58*j\/9 - 64\/3.\nAnswer: 2*(j - 3)*(j + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**3 + 13*q**3 + 7*q**3)*(11*q - 8*q - 2*q - 4).\nAnswer: 14*q**4 - 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1537, -3, 2, 5, -1.\nAnswer: -3, -1, 2, 5, 7, 1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -4*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 51 = 4*r + 297, 0 = -5*f + 2*r - 252. Let k = f - -56. Solve -k = -3*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1069060977 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486 - 299 - 10 - 388)*(14*x**5 + 16*x**3 - 16*x**3).\nAnswer: -16562*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010 - 0?\nAnswer: 101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 2, v: 7, t: 4, l: 4, s: 2}. Give prob of sequence lvh.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Let l be 6 + -1 - (1 - -5). Let b(u) = u**2. Let c(g) = -6*g**2 - 2*g. Let x(m) = l*c(m) - 3*b(m). Give t(x(a)).\nAnswer: -6*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*386*(-5)\/(-20). Let j = m - 112. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 2 = 4*d - 2*j, 0 = 4*j + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256.7 + -260.7. Which is the closest to -1? (a) 0 (b) 1\/46 (c) g (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 - 27*r. Let z be x(-8). Suppose 19*b - 16*b - 5*n = 64, z = 5*b + n. Calculate the greatest common factor of b and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a**4 + 8 - 54*a**4 + 13*a**4 + 11*a**4 - 9*a**2 + 2*a**3 + 13*a**4 as y + u*a**2 + p*a**3 + b*a**4 + t*a and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 26. Let c = -30289700 + 30289713.99999856. Let z = c - r. What is z rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*j - 6. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 14 + 12)*(3*w - 2*w + 0*w).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-8) - 3 - (-51 + (-5 - -17))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -896, 585, 4608, 12445, 25368, 44649, 71560, 107373?\n\"Answer: 212*z**3 - z**2 - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by (369\/(-36) + 8)*(-256)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:11 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 3, b: 4, t: 5, y: 1, q: 1}. What is prob of picking 2 b and 1 q?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*z**3 - 2367160*z**2 - 1183595*z - 147950.\nAnswer: 5*(z - 29590)*(4*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let p = 0.113 - 0.013. Let z = 152 + -2886\/19. Which is the closest to h? (a) z (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a (base 16) in base 9?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/7 and -21\/61.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 37, 46, 53?\n\"Answer: -w**2 + 14*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 3*p. Let z(o) = 1 + 237*o**3 + 0*o - o**2 - 104*o**3 + p*o - 121*o**3. Give z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1768*t + 14196. Let j be o(8). Solve -57*w + 5*w + j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-265008)\/(-110860) - 4 - -2. Let r = -1\/1205 - t. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.138623 * 27\nAnswer: -84.742821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9819 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146944 and 333248.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.220422 + 14.\nAnswer: -22.220422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p - 3*p - 2*p)*(-2 - p**2 + 2).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 23 - 3, 0 = -2*j - n + 9. Suppose -2*o = 3*f + o - 21, -2*f = -j*o - 18. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/(-175) + (-3471)\/(-21). What is the greatest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 167. Calculate the least common multiple of g and ((-3)\/2)\/((-17)\/238).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2318 divided by -38.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9312412 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56135 and 1016425?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15231 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 70*w**2 + 26*w - 99. What is y(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 66\/13 (b) 2 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzmmzd. Give prob of sequence zdmz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + (1 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -2251\/13. Let d = 17\/26 + l. Calculate the common denominator of -63\/16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -5*y - 1399. Is 0.1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose q - 30 = -p*q. Suppose z + q = -0*z. Is z bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 3, o: 6, d: 7}. Give prob of sequence dt.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 + 5*t - 1. Let n be p(-5). Suppose 3*w - 59 - n = 0. Suppose 13*y = 8*y + 60. Calculate the greatest common divisor of y and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/377 and (-41 + 5)*((-321)\/(-104) + 120\/(-40)).\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -110*l - 429. Determine p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(192)*-6 + -4 - (1*(sqrt(3)*2)**2 + -1*(sqrt(147))**2).\nAnswer: -288*sqrt(3) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-22) - -1*1. Let h = 172.1 - 172. Let p = -1.1 + 0.8. Put z, p, h in descending order.\nAnswer: z, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/105 - ((-384)\/56)\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150285 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 4) + -2)\/(-1). Let x = -13 + 37. Let c = x - 6. Calculate the greatest common divisor of y and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-520)\/6032*1\/(-10))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434 - 434. Suppose 4*u - 3 = 5*c, 3 - 7 = -u - 2*c. Sort -1, 0.08, f, u in increasing order.\nAnswer: -1, f, 0.08, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1642?\nAnswer: -328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-216)\/(-10) - (-4)\/10. Let a be -132*(-8)\/(-12)*-2. Calculate the highest common factor of l and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxox when four letters picked without replacement from {o: 7, x: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1333 - 9*p + 1341 + 2*p + p**2. Determine s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 + 6*i. Let m = 0 - 7. Let v be l(m). Let a be 1 - (70\/12)\/v. What is the second smallest value in a, -1, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3221 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 5*u**3\/3 - 235*u**2 + 11045*u + 146. Let z(s) = 0. What is s?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 49*c**2 + 54*c - 987. What is the ten thousands digit of a(-58)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219390177.\nAnswer: 3, 73130059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021012222101 (base 3) in base 2?\nAnswer: 10100100011100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 16*i**4\/3 + i**3\/6 + 19*i**2\/2 - 99*i + 2. What is the second derivative of g(c) wrt c?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/5 - 32*x**4\/5 - 104*x**3\/5 + 416*x**2\/5 + 2048*x\/5 + 2048\/5 = 0. Calculate x.\nAnswer: -8, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/57 - 5040\/2394)*1)\/(-190).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -512*d + 4899. Let i(c) = -3*c - 18. Let k(b) = -a(b) - 2*i(b). Find the first derivative of k(y) wrt y.\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 101.955. Let n = l + 5. What is n rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177958550 and -0.1?\nAnswer: 177958550.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/468)\/((-1)\/86). Do s and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*t - 14, 4*o - 5*t + 23 = 6*o. Suppose 3*b - o = 7*b. Let x(l) = 8*l + 7*l**2 + l**3 - 3 + 6 + 3. Determine x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 9*f - 7*f - f**2.\nAnswer: -f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*9\/(-90))\/(2\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 12.17, -4\/7, -5, -30\/13, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -22*h**2 + 3*h + 1. Let m(a) = a**2 - a. Let w(n) = -l(n) - 2*m(n). Is w(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 16*u - 45. What is the remainder when 538 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 4.8?\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = -4*l - 6*u, -3*l + 3*u + 9 = 0. Let y be 4\/(l\/(1 + 0)). Suppose -y*k + 0 = -4. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -27, -3, 0.1, 2\/5, 0.38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/99 - (-62 + 70338\/418)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 160. What is the greatest common divisor of 44 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 15*x - 245. What is y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20303434143 - 0?\nAnswer: 20303434143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 - 24 = 0. Suppose -246 = -4*d - 158. What is the smallest common multiple of l and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*q**2 + 1211*q**2 - 402*q**2 - 404*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 8*i**2 + 21*i + 9. Let h be j(5). Solve -h*k + 35*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3845173 + -1?\nAnswer: 3845172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/36 - 28\/(-24). Which is greater: -2\/11361 or g?\nAnswer: -2\/11361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-135) - 4\/(-18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:17 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 9*a + 16. Give h(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*s + 9266 - 4819 = -26949 - 2348 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 787116 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -103*h**3\/3 - 5*h**2\/2 - 6*h - 2. Let m be r(1). Let l = m + 300. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/((u\/u**(-5\/4))\/u)))\/u)\/(u\/u**(1\/5)))\/((u**(2\/7)*u)\/u)**(2\/21) assuming u is positive.\nAnswer: u**(-4637\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(56)*-5)\/((sqrt(72)*2)\/sqrt(4) - sqrt(18)).\nAnswer: -50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 + 1)*(-9)\/15. Differentiate -2*s**2 - 3 + 6 - z with respect to s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -65*n**2 + 3*n - 4. What is w(1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:20 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -36.878\nAnswer: -11.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17.5. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 181, 419, 781, 1285?\n\"Answer: 3*w**3 + 35*w**2 + 6*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((0 - 5) + -4) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from ypvvhas.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + p + 100, -2*i + 86 + 26 = -4*p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 28. Let n be b\/(-8) - (27\/(-12) + 2). Suppose n*h - 1338 = -381. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 124, 132, 142, 154, 168, 184?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347376*r**2 - 647100*r.\nAnswer: -694752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -313 + 297 + 132\/(5 + -3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/2)*a**0 assuming a is positive.\nAnswer: sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, q: 2, t: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.996664 centuries?\nAnswer: 99.6664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80442 - 85542 = 6375*o + 24439 - 50173 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-297)\/396 - 54\/(-40)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -84, -209, -392, -639, -956, -1349?\n\"Answer: -i**3 - 20*i**2 - 6*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -125 - 5\/14*y**2 + 2\/7*y**3 - 1\/28*y**4 + 0*y. Let k(j) = 0. Calculate j.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.43 + -0.17. Let w = i + -0.4. Let t = -18\/5 - -4. Which is the closest to t? (a) w (b) 0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/4, 0.01, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h + 457 = -2023 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.63 or -0.1891?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 282*v + 1188*v + 27930 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 11 = -32*w + 44 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (-28)\/12. Suppose z*x - 118 + 1 = 0. What is the greatest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 204 = 4*q + 6*j, -5*q + 255 = -4*j. What is the greatest common divisor of q and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b**(-2\/13))\/b*b)\/b)\/b)\/(((b\/(b*b\/((b*b*b**(-1\/13)\/b*b*b)\/b)))\/b)\/b*b))**(-5\/7) assuming b is positive.\nAnswer: b**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(5)*3) - (sqrt(19) + sqrt(171) + -5)) + 2.\nAnswer: -11*sqrt(19)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33897819 plus -4?\nAnswer: -33897823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -90048?\nAnswer: 90046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 22701782790 to the nearest 1000000.\nAnswer: 22702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - y**3 - 4)*(2*y - 9*y - 16*y) + 0*y**4 - 4*y**4 + 6*y**4 - y**2 - 2*y - 2*y**3 - 3*y**4 + 9*y - 10*y.\nAnswer: 22*y**4 - 2*y**3 - y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + a**4\/4 + 2*a**3\/3 + a**2\/2 + a. Suppose -12*n = -12 - 24. Calculate m(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305.9 - -281. Let l = 25 + r. Is -15 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**4\/6 + 2*x**3\/3 + 12*x. Let w(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 446\/48 + 42\/126. Let q = f + -227\/24. What is the nearest to 2 in -2, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.93 - 3.087. Let h = x - 0.043. Let y be 6\/45*(-5)\/(-3). Which is the closest to y? (a) 3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.471 - -0.029. What is the third biggest value in -2\/7, r, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from xxjjxxxxxxjxxxjxxxxj?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997 is divided by 250.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Find the third derivative of 14*b**2 - 1507*b**h + 1514*b**5 - 2*b**2 wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + o - 54 = -9*y, -60 = -4*y - 5*o. Let v(z) = z**2 - 6*z + 4. What is the tens digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-seven fifths of a second?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*u + 1172*u = 13636 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6191 by -83552.\nAnswer: 6191\/83552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95507393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 29*s**2 + 81*s + 738. Let p be f(-27). Let q(w) = w**3 - 9*w**2 + w - 5. What is q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2 + 96782*g + 580620 = 0.\nAnswer: -48385, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*c**4 + 114*c**3 + 22751*c**2?\nAnswer: 648*c + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 10.406, 0.1, 7, -8 in ascending order.\nAnswer: -8, -5\/3, 0.1, 7, 10.406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 67 + 190 + 25*z**2 - 97.\nAnswer: 25*z**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-4)\/((-4)\/(-1))). Let n = 32 - 30. Let t be (-111)\/(-37) + -1 + 6\/n. Sort g, 0, t in descending order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 82. Let y be (-182)\/252*20\/(-130). Sort z, -1\/2, y in ascending order.\nAnswer: -1\/2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 14 + 14 + (4 - 5 - 5)*(0*m + 7*m + 5*m) + (3 - 3 + 2)*(m - m + 2*m) + m - 5*m + 5*m.\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**5\/7 + 16*p**4\/7 + 20*p**3\/7 + 8*p**2\/7.\nAnswer: 4*p**2*(p + 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:09 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t + 12 = 0. Let o = 0 - t. Solve -2*l + 1 = -4*w + 7, 4*l = -o*w + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/3395 and 31\/12471290.\nAnswer: 87299030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -4, -1, -2, -366, -5 in descending order.\nAnswer: 4, -1, -2, -4, -5, -9, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/16)\/(2\/(-4)). Let j be 2 - x\/(6\/(-13)). Which is the third biggest value? (a) -5 (b) 0.3 (c) -3\/2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1.6. Let w(l) = -l - 5. Let s be w(-7). What is the smallest value in 5, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4478265.\nAnswer: 3, 5, 11, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/48 - 2*q**3\/3 - 39*q**2\/8 + q + 276. Factor d(y).\nAnswer: -(y + 3)*(y + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 407 = -62*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(220) + sqrt(220) + sqrt(220))*6*-1)\/(sqrt(60)\/(1*sqrt(12)) - sqrt(10)\/sqrt(162)).\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 4824 = -17*u + 18*u. Calculate the remainder when 1399 is divided by u.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-84)\/(-35))\/((-22)\/5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(88)\/sqrt(8) + sqrt(11) - (3 + sqrt(1331))**2.\nAnswer: -1345 - 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2) - (-2 + 2). Let w = c - 3. Suppose 0 = 2*q - w*q - 24. What is the least common multiple of q and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - -111220102?\nAnswer: 111222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 - 10*z**2 - 3*z - 15. Let c(l) = 16*l**3 - 21*l**2 - 10*l - 31. Let y(s) = -4*c(s) + 9*q(s). Determine y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:28 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19884, -160020, -540374, -1281054, -2502168?\nAnswer: -4323824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*z + 60, -10 = 4*m - 6*m + 3*z. Let b(t) = 6*t - 16. Let r be b(m). Let i = r + -49. Let f(l) = -3*l. Give f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b140 - 3?\nAnswer: b13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/11 + 6\/33. Let a(o) = -5 + 2 + o + 10. Calculate a(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + 3*y - 10. Let j(m) = m**3 - 15*m**2 - 3*m + 10. Let f(w) = 5*c(w) + 4*j(w). Let h be f(10). Solve -4*t + 9*t - h = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69578, -69564, -69518, -69422, -69258, -69008, -68654?\n\"Answer: 3*i**3 - 2*i**2 - i - 69578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*w + 2*w - 4, -8 = i - 4*w. Suppose i = -a + 5*a + 8. Let s be 4 - (-6 - -2)\/a. Solve 4*l = s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h = -2 - 1, 4*t - 21 = -5*h. Is 96\/19 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h**(7\/3))\/h)*h*h\/(h*h*h*h**(-13))*h)\/(h*(h**(-5)\/h)\/h*h\/h**(-5\/7)))**(2\/67) assuming h is positive.\nAnswer: h**(712\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*s**2 + 49*a - 940*s - 307 wrt s.\nAnswer: 4*a*s - 940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**3 + 10*b**3 + 8*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/34 - 51*(-363)\/(-4114).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5440910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -58\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 978995, 1957946, 2936897, 3915848, 4894799?\nAnswer: 5873750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (322\/1400)\/((1*2)\/8) - (-40)\/(-50).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 0*v - 7*v + (1 + 2 - 2)*(-v - 3*v + 5*v))*(0 + 8 - 3)*(3*v - 7*v - 3*v).\nAnswer: -70*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 2*f + 2. Let t = -500 - -497. Let o(c) = -4*c**2 + c - 2. Calculate t*o(k) - 2*y(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 992953.6 millilitres in litres?\nAnswer: 992.9536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 2, d: 4, a: 1, g: 1}. Give prob of sequence ga.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6)*2 + sqrt(17) + (-4 + sqrt(1700) - sqrt(1700)))**2*4.\nAnswer: -96*sqrt(17) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/180 - t**5\/20 - t**4\/24 - 25*t**3\/2 + 152*t**2. Let q(p) be the first derivative of n(p). What is q(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -953664158 + -28519.7.\nAnswer: -953692677.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922268594?\nAnswer: 2, 13, 79, 449011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4388*i + 4449*i - 1464 = 0 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0 + 1)\/(-1). Solve 6 = -3*d - h*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) 1\/2 (b) -2\/9 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 greater than 498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 89 - 65. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156409 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**2 + 2 - 8*v + 20*v**2 + 8*v as r + q*v**2 + f*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/167 != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**3\/3 - 3*o - 1. Let z(y) be the third derivative of y**4\/24 + 2206*y**2. What is z(b(r))?\nAnswer: -2*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c - -191bc?\nAnswer: 19170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1301*l + 100. What is the hundreds digit of u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19654, -40621, -61572, -82507, -103426, -124329, -145216?\n\"Answer: 8*u**2 - 20991*u + 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -477\/6895085 or 1?\nAnswer: -477\/6895085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1366*t - 27*t**2 + 28*t**2 + 1370*t.\nAnswer: (t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3124324 - -3?\nAnswer: -3124321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.02 * -1.2.\nAnswer: -1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (652*i + 112*i - 377*i)*(2*i - 6*i + 2*i - 1).\nAnswer: -774*i**2 - 387*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 + 1022 - 66959*p**2 - 341 - 344.\nAnswer: -66959*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, -5, -29 in descending order.\nAnswer: -1, -2, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from yyyyvvyyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - 3*d - 13. Let c be o(4). Calculate the greatest common divisor of c and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.81 - 13.5775039582.\nAnswer: -15.3875039582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822*v - 106919 = -853*v. List the prime factors of v.\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 12}. What is prob of picking 1 h and 2 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.4 - 67.4. What is the fourth biggest value in 1\/3, s, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3729426502.\nAnswer: 2, 41, 45480811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 2. Let i(h) = -h - 5. Let c(k) = 3*i(k) - 5*o(k). Give c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i - 4*i - 1 + (0*i + i - 2*i)*(10 + 2 - 7).\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 + 2. Let h(r) = 2*r. Let s be h(-2). Let z(n) be the third derivative of -n**5\/12 - n**3\/3 - 421*n**2 - 1. Calculate s*z(a) - 3*k(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 2*q + 1. Let w be i(-1). Suppose 0 = -n - w + 8. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344838 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 4 (b) 0 (c) 0.8 (d) 13 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.822449ng to grams.\nAnswer: 0.000000004822449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11445304 > -11445304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 21 = 2*v, -5*o - 2*v = -6 - 3. What are the prime factors of (3 - (-3 + 7)) + o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r*v + 3*r + 31*v**2 - 32 wrt v.\nAnswer: -r + 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/3 - 2*n. Let s(b) be the third derivative of -b**4\/4 + b**3\/6 + 8*b**2 + 144*b. What is s(l(x))?\nAnswer: 24*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17521, 35038, 52531, 69988, 87397, 104746, 122023, 139216?\nAnswer: 156313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:52 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53262 - 20107. List the prime factors of u.\nAnswer: 5, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*sqrt(3)*-2 + sqrt(12)\/sqrt(4)*-5 + sqrt(132)\/sqrt(11).\nAnswer: -5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1365)\/(-460) - 6) + 3. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12887065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -114, -158, -194, -222, -242, -254?\n\"Answer: 4*v**2 - 64*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*n*n**5))\/((n*n\/(n*n**6)*n)\/n)*n**(2\/11)\/n**(-1\/5)*((n**(1\/3))**(-6))**6 assuming n is positive.\nAnswer: n**(-584\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -22\/9, 0.07, 0.034, 5, -0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l + 40. Let y(s) = -s - 10. Let b be y(l). Let v be (1\/(-3))\/(1\/3). Sort 3, v, b.\nAnswer: b, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, -925, -4 in descending order.\nAnswer: -4, -179, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3 and 67\/249038973.\nAnswer: 249038973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 12 = 3*q. Let p(k) = -k**2 - 6*k - 6. Let f be p(q). Find the third derivative of -u**2 - f*u**3 + 7*u - 7*u wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12362 and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:41 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00656 rounded to four dps?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 16 = 36*w. Suppose -w*m = -5*m - z + 10, m - 14 = z. Let f be (-2)\/(-5) + (-23)\/(-5). Solve 0*a - m = 2*a + 2*i, 0 = 4*a + f*i + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - -1)*-1 + -19.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 31, -0.2, 1\/4, -3\/13?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6195823.\nAnswer: 6195823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Sort 35, 9, 12 in descending order.\nAnswer: 35, 12, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 9) to base 4.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d. Let u be b(-5). Calculate the highest common factor of 540 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -230734998?\nAnswer: 23073499.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 64. Let t = -45 + 35. Let d = t + c. Which is bigger: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 804, 1203, 1600, 1995?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -53*j - 1903. Give m(-35).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -238, -239, -238, -235, -230, -223?\n\"Answer: y**2 - 4*y - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23.48 and -3?\nAnswer: 26.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-6)*(-36)\/20 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5105795 is divided by 201.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117049 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61821 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 1, j: 2}. What is prob of sequence jj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 98 = 5*u. Let k be (-4)\/32*u - 1\/4. Find the common denominator of 2876\/1848 + k\/(-11) and 58\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/120*7\/(210\/(-9))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from {f: 2, y: 17}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (32 - (43 - 19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11730 divided by -1.\nAnswer: 11730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-69)\/18 + 4). Let o be (-1)\/2 - ((-1355)\/(-10) - w). Let h = -129 - o. Solve 0*m + h*n + 14 = 3*m, 2*n = -3*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -0.03. Let i be 14\/8*(-69)\/161. What is the closest to n in -1, i, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-30)\/5 + -2. Let x be d\/(-90) - (-36)\/90. Let i = 0.1 - 0.3. Sort -0.5, x, i.\nAnswer: -0.5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - ((-518)\/(-66) + (-146)\/803))*7.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46250*x + 34 = -46252*x - 2*j, -2*x = 7*j + 34 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.4, 2\/31, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let k(p) be the third derivative of -29*p**5\/60 + 19*p**2. Give k(l(b)).\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05041 + 21.45959. Round m to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6. Let s be b(11). Suppose -1 = s*g + 34. Let r = g + 25. Calculate the smallest common multiple of r and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91788 is divided by 22940.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 18. Let f(o) = 23*o**2 + o. What is the units digit of f(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 0. Suppose -5*q + 152 = 3*g, q = -j*q + g + 24. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 26 = -3*u, 2*q + 25 = 2*u + 3*u. Suppose 3*x - 4*n + u*n = 0, -3*x = 4*n + 4. Suppose -32 = -x*t + 144. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*g*l**3 - 8104*g*l + 24*g - 1575634*l**3 with respect to g.\nAnswer: -15*l**3 - 8104*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: (-13 - -10) + -5 + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 145*b - 309*b + 158*b + 20, 4*r + 3*b - 55 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 1663 = -1767. Suppose 3*g - h = -7*g. Which is greater: g or 47?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824213023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 14*p**2 - 14*p + 27. Let x(q) = q**2 + 12*q - 4. Let g be x(-11). Let v be s(g). Calculate the greatest common factor of v and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -196*b + 192*b - 5*y + 5, 4*b - 5*y + 45 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(-258)*(-2157)\/15 - (79 - 55).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4*-1 + 0)\/(208\/416).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3346*s**3 - 716.\nAnswer: -10038*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*s = 6*s - 12, -t - 4 = 4*s. Let j be t\/(-6) - 26\/30. Which is the second smallest value? (a) 0.5 (b) -69 (c) 2\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2179138\/67 - -355863151\/402. Let z = -912515 + m. Let s = 5258 - z. Find the common denominator of -30\/7 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 88 (b) -2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10977, 11020, 11061, 11100, 11137?\n\"Answer: -g**2 + 46*g + 10932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-11)\/(-6))\/(((-77)\/(-99))\/((-35)\/(-20))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 - 2*j - 1. Let q be 4\/(-2 + 1 - -2). Let m = -2 + q. Is h(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557661, 3115347, 4673033, 6230719, 7788405?\nAnswer: 9346091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(20\/6)*25\/(29925\/28)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1312 divide 2724808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25695 and 162164?\nAnswer: 7297380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 5)*(2*g**3 - 4*g**3 + 10*g**3).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-20)\/(-80)). Let j(h) = -16*h**v + 140 + 65 + 17*h**2 + 2*h + 60. Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23 = -9. Suppose -42*q - 148 + 23 = 85. Let a(w) = -4*w - 15. Let u(n) = 6*n + 23. Give q*u(c) + z*a(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/m)\/m**(1\/8))**6\/(m**(1\/3)\/(m\/(m*(m\/m**(-4)*m*m)\/m)*m*m)*(m\/(m\/(m\/m**(-2\/5))))**(-48)) assuming m is positive.\nAnswer: m**(5167\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17508 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23256 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - t - 2*t + 10, -h + t = 0. Let j be (-2 - h)*2\/4. Let v be (-3 + 141\/49)*(-3 - j). Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0429298305 rounded to three dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(19)*3 + -4 - sqrt(19)) + 4).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 19. Let j(y) = -9 + y**2 + d + 6*y - 5. Calculate j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 25*p + 18. Let a be (-19 - -18) + -17 + 1 + 1. What are the prime factors of n(a)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 13. Let y be m(12). Let z = -37 - -66. Let c = z + -32. What is the biggest value in y, 5, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(163*u - 59*u - 28*u) + 26*u - 6*u + 5*u.\nAnswer: -127*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510422 is divided by 441.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 39*h - 41. Let v be j(-37). Solve v*q = 25*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 3, f: 2, j: 1, e: 3}. What is prob of picking 1 f and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 16*o**2 + o - 12. Let l be i(16). Solve -4*z + 2 = h - 3, -z + l = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*i + 22 + 15, -f - 20 = -2*i. Suppose 3*h = 5*h. Calculate the least common multiple of (h - (-1 + 1)) + 33\/3 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 72. Suppose 1586 + 163 = c*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-25)*5\/(-2). Suppose g + 1 = x. Let v(j) = -j**2 + 3*j - 1. Give v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8708148 and 3468.\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**3 - 6*n**2 - 93*n - 278. Calculate the smallest common multiple of z(-6) and 1664.\nAnswer: 31616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - -570. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 23 = 4*d, -5*o + 5*d + 12 = -18. What are the prime factors of (o - 1\/1) + 18 + 10?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 323, 1066, 2119, 3332, 4555, 5638, 6431?\n\"Answer: -25*m**3 + 305*m**2 + 3*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089807 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/14 - (-40 - (-5334)\/133)\/(4\/38)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1\/12*y**4 - 16*y - 53\/20*y**5 + 1\/21*y**7 + 0*y**2 + 0*y**6 - 4 + 0*y**3. Find the third derivative of z(j) wrt j.\nAnswer: 120*j**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f)**(14\/9)*((f**(-2\/17)\/f)\/f)\/f*f\/(f\/(f**2\/f)) assuming f is positive.\nAnswer: f**(412\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**4 + o**4 + 2*o**3 + 25*o**4 - 11*o**4 - 16*o**2 as b*o**4 + k*o**3 + d*o + u + n*o**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-17 + 9) - 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Solve w = -5*b - 1 + k, -2*w + 6 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.01 (b) -48\/5 (c) 0.2 (d) 180 (e) 3\/2 (f) -3 (g) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -35?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139340 is divided by 139315?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 5. Let w(a) = -26. Let i(m) = -10. Let z(n) = 15*i(n) - 6*w(n). Let u(t) = -3*r(t) + 4*z(t). Calculate u(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302 + -263. What is the remainder when 115 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 24*t. Give p(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*o + 1737*c**3*u - 4*c**3 + 770*c**2*o*u + 3*c**2*o - 6*c**2*u + 2*c**2 - u wrt c.\nAnswer: 6*o + 10422*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3385 + 151*x**2 + 3*x + 3385 - 3*x.\nAnswer: 151*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**2 - 315*l + 3224. Calculate r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c51 + 402?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31314 - -143?\nAnswer: 31501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 403, 1223, 2801, 5395, 9263, 14663, 21853?\nAnswer: 31091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*-32.4\nAnswer: -77.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 81842.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**7*n*n)\/n)*n)\/n)\/n**(-4\/11) assuming n is positive.\nAnswer: n**(-73\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6497, 12992, 19493, 26000, 32513, 39032?\nAnswer: 45557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/20 + (-26)\/5. Let p(l) = -7*l - 4. Let i(m) = -8*m - 5. Let s(a) = q*p(a) + 4*i(a). Let g(o) = o**2. What is s(g(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 183 = 56*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/9 and 5\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let x be (5 + 9)\/(2\/13). Let f be (-40)\/x - (-10)\/35. Sort 2, q, f in decreasing order.\nAnswer: 2, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*b - 38 = 0, -b + 3*b = -4*a + 62. Calculate the smallest common multiple of a and ((-4)\/(-6) - 3\/(-9))*7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 2*m**2 - m**2 + (-7 - 2*m + 7)*(7075*m + 97 - 133 + 36).\nAnswer: -14149*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*c. Suppose r + 2 = 4*g, 0*r + 3*r - 3*g - c = 0. Suppose -f = -4*t - t - 51, -f - r*t = -23. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.02 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -373 + 119. Calculate the common denominator of (u\/15)\/(16\/(-20)) and (-118)\/(-52) - 0\/1.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3495660 and 107310.\nAnswer: 255183180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 677 + -410. Let s = o - 184. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2 - 254250*i + 254255 = 0. What is i?\nAnswer: -50851, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016488 - 0.01212. What is t rounded to 4 dps?\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**3\/5 + 63*r**2\/5 - 126*r\/5 + 48\/5 = 0. Calculate r.\nAnswer: 1\/2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (3 - 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 2) + 13 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {h: 4, w: 8, r: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(108)*2 + -1)**2 + -3.\nAnswer: -120*sqrt(3) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 20.00075. Round c to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0 + 0)*(-305 + 11*i**3 + 11*i - 30*i**3 + 303).\nAnswer: -19*i**5 + 11*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q**2 - 16*q - 16. Let s(t) = 15*t**2 - 22*t - 22. Let v(x) = -11*k(x) + 8*s(x). Let y(h) = 764*h. Give v(y(f)).\nAnswer: -583696*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 36*n**3 - 66*n**2 - 252*n - 147.\nAnswer: -3*(n - 7)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1, -1\/3, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.029 and 0.13.\nAnswer: 0.00377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:07 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390913.\nAnswer: 43, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:14 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2228717, 1, 6 in decreasing order.\nAnswer: 6, 1, -2228717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0821 and 63242839871.\nAnswer: 63242839870.9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(78)\/(sqrt(6)\/sqrt(3))*-5)\/(4*sqrt(27) - (sqrt(48)\/sqrt(4))\/sqrt(4)).\nAnswer: 15*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 13, u: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 4 + 4 + (-k + k - k)*(2 + 2 - 2) - 2*k - 3*k + 3*k - 15*k - 6 + 2 + 5)*(-5*k**4 + 9*k**4 - k**4).\nAnswer: -63*k**5 + 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80921 and 1.\nAnswer: -80921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(9 - 11) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/1188*9)\/(2\/44)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, -2, -3, 0.059?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 102. Let c = w + 33. What is the second biggest value in c, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9740527 is divided by 149?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -441 - 721?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (21 + 27\/(-3)) - 39\/(-9 + -4).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 14 - 96 + 39 + 155*w + 23 to q*w + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182930*s**4 + 2*s**3 + 56*s**2 - 337*s + 2?\nAnswer: 4390320*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -1, -3, 2 in increasing order.\nAnswer: -3, -1, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2174 + 5380. What are the prime factors of a?\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -22a?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 2*i. Suppose i*h + 2*t = 0, -2*h + 0*h - 11 = 5*t. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185965?\nAnswer: 5, 13, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 2514059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12928 + -8?\nAnswer: 12920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54138.6ng to tonnes.\nAnswer: 0.0000000000541386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f = y + 88, -258 = -3*f + 4*y - 254 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 17213*s - s**3 - 17477*s + s**2.\nAnswer: -s**3 - s**2 - 34690*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 - 8*z - 6. Let h be s(6). Let o be h\/(-4)*12500*(-1 - -33). Round o to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpnqbbnrqqpboooqbbn. Give prob of sequence qnbp.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 + 1 - 1 - y**2 - 10 - 9*y. Let l be ((-24)\/18)\/(3 + (-25)\/9). Give n(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 13 = -5*c, 2*k + 1 = -2*c + 9. Suppose -53*b + 48*b = -30. What is the highest common factor of b and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 3*i**3 - 21. Give s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(6) + sqrt(63))\/sqrt(3) - (sqrt(756) + (sqrt(756) - sqrt(756)*-2) + sqrt(756)))\/((4*(sqrt(175) - sqrt(7)) + sqrt(7) + sqrt(7)*2*3)*1).\nAnswer: -28*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 36. Let p = -87\/182 + 5\/26. What is the nearest to 0 in i, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-6) + 2 - 16575\/153. Let z be ((-10750)\/(-30))\/(3\/a). What is z rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-4 - (-1)\/((-1)\/2). List the prime factors of -6*1\/(2\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 393335682.\nAnswer: 393335701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3012, -1\/8 in descending order.\nAnswer: 3012, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - 3ca?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 600269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s - 240. Let r(v) = -9*v + 481. Let y(w) = 7*o(w) + 4*r(w). Determine y(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9472.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 2*p + 406. Calculate the remainder when 962 is divided by x(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1211\/2 + -603. What is the closest to 2\/5 in -5, -33, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjjjjjqjjjjj. Give prob of picking 2 j.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 46*p - 13*p = -117 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 20*a**2 - 27*a + 9. Let h be d(18). Suppose 4*w - 5*y = h, 5*w - y + 6*y = 225. What is the remainder when 85 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/135*(7\/(-28))\/(3\/27).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 17*b**5\/20 + 3*b**4\/4 - 2*b**3 - 13*b**2\/2 - 2*b - 12. Let o(k) = -4*k**3 - 2*k**2 + 3*k + 3. Calculate 2*m(u) + 9*o(u).\nAnswer: -2*u**3 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m + 6. Calculate c(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -32. Let u = 24.0000013 + w. Round u to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21 + 4 = n, 5*n - 40 = -5*f. Suppose 0 = 3*g - f*m - 4732, 4*m + 6283 - 1550 = 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26.5508ug?\nAnswer: 26550.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-42)\/f**(-21))**44 assuming f is positive.\nAnswer: f**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20617171 by -1.\nAnswer: 20617171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26155\/(-2412) - 35\/(-315). Let b = -10\/67 - p. Calculate the common denominator of b and 11\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/495 and -57\/7150.\nAnswer: 64350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 7*s + 0 + 58 - 58 + 11*s - 3 - 2*s + 3 + (-2 + 1 + 0)*(-2 + 2 + 2*s) + 3 - s - 3.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 37 + 65 = 0. Suppose 0 = -7*w + w + z. Suppose 0 = -w*v + 22*v - 20. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2601881, 10407480, 23416813, 41629880, 65046681, 93667216?\nAnswer: 127491485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 22572.\nAnswer: 5\/22572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104397 at least 104396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.807 rounded to one dp?\nAnswer: -65.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-89)\/7 - 35\/(-49). Let x(a) = -a**2 - 10*a + 25. Calculate x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 19 + 5. Suppose 41*c - 13*c = 1092. Calculate the remainder when c is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/20 and (-24)\/9*(-1 + (-30)\/(-21)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.60411 and -0.2.\nAnswer: 9.40411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 153369 and -754824818.\nAnswer: -754671449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -145 - -143 - (0 + -3357)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 - 20 - 8*w**2 - 4*w**2 + 22*w + 13*w**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 878*v - 878*v + 683*v**2 + (-3*v + 4*v + 3*v)*(3*v + 2*v - 3*v) to z + a*v**2 + u*v and give a.\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-2)*48\/(-56)*2*238\/68.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995397 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + -72113658.40985.\nAnswer: -72113659.00985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 996 and 234.\nAnswer: 38844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.1215 nanometers to micrometers.\nAnswer: 0.1651215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5626268 (c) -2\/17 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - p + 17 + 31 - 2*p.\nAnswer: -5*p + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q**2 - 2*q + 1. Let b be c(1). Suppose -14 = 13*i - b*i. Let n(l) = l**2 + l - 4. Let w(p) = -3*p**2 - 3*p + 13. Calculate i*n(m) + 2*w(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2)*-3 + 0.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from tbpfffeppgffffbgfg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9401.6889ns?\nAnswer: 0.00000000010881584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c + 33 = -4*m - 79*c + 3, 3*c = m - 103 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 202214 + 119731 = 0. Round c to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:57 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2 - (3 - 7)). Solve 4*j + 20 = -4*b, -3*j + a*b = -j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 5, 10, 15, 20?\n\"Answer: 5*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) + (sqrt(128) - -2*sqrt(128))) + sqrt(128) + -3)**2 + 3.\nAnswer: 1104*sqrt(2) + 67724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2 = -x + 6, -5*x + 2*t - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.58857212 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 36. Let x(q) = q. Let y(p) = -i(p) + 4*x(p). Let g be y(-5). Let a = 17 + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 126249212123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1685 at most as big as -1683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 + 2) - -6. Let q = -19 - -42.7. Let y = -23.5 + q. Which is the smallest value? (a) y (b) 2\/7 (c) -0.02 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25096 - 749*m - 25096)*(-2*m - 16*m + 3*m) - 2*m**2 + 0*m**2 + m**2 to s*m + v + a*m**2 and give a.\nAnswer: 11234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 738, 1706, 3056, 4782, 6878, 9338?\nAnswer: 12156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 54. Let g = 25 + q. Put 0.4, g, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 14. Let u = -21 + w. Let n = 9 + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(-116) + 23\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 divided by -2?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 47. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245131554 to the nearest integer?\nAnswer: 15657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 3*c**2 - 7*c + 22. What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2552\/9 + -286. Which is the closest to 2? (a) -4 (b) -1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 10\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.1. Suppose 4*x + 176 = 4. Let r = -83\/2 - x. Put z, -0.4, r in decreasing order.\nAnswer: r, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 12*b + 8)*(26*b**2 - 3*b - 19*b**2 + 4*b) - 430*b + 430*b + 3*b**3.\nAnswer: 87*b**3 + 5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**7\/2520 + v**6\/180 + 7*v**4\/12 + 2*v. Let w(s) be the third derivative of y(s). Calculate w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**7)**(-14)\/((w**(2\/11)*w\/(w\/((w*w\/(w\/w**1)*w)\/w))*w*w)\/((w**2\/w)\/w*w\/(w\/(w\/(w*w**(2\/11)))))) assuming w is positive.\nAnswer: w**(2108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + u - 15 = -4*o, u - 45 = 5*o. Let b be 2*(o*(-6)\/(-12) - -10). Let w be 4\/(-14) + (-44)\/(-7). Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/5 - 8*i**4\/5 + 6*i**3\/5 + 8*i**2\/5 - 8*i\/5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11546 + 5823 = -97*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -0.5, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 809222 divided by 21.\nAnswer: 809222\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-63)*-3*-7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14503.5 + 14503. Let z = -4 + 4.5. What is the closest to -14 in 2, -2, z, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 4 + 4)*(917*c - 478*c - 214 - 437*c) in the form i*c**2 + o*c + n and give o.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.5 + 18. Let g = 13 - 1. Let y = -7 + g. What is the fourth biggest value in t, -0.2, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.011 + -0.111. Which is the closest to o? (a) -0.3 (b) -0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 - 3 = 0, 2*y - 13 = -v. Let j = 7 + -5. Suppose -2*d = -d - p - 210, -j*d - y*p + 420 = 0. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t - 37*t**2 - 3*t + 21*t in the form f*t + l + k*t**2 and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*c + 3950 = -111*c - 4879 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -51297\/620 greater than or equal to -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129735772*w**3 - 97059314*w**2.\nAnswer: -778414632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3)\/((s*s**(-1))\/s)*s**(1\/5)\/s**1)\/((s**(2\/7))**(-9)\/((((s*s*s**(6\/7)\/s)\/s*s)\/s)\/s**(-6))) assuming s is positive.\nAnswer: s**(477\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/2)*l*l**(-9)\/l*(l\/(l\/(l**(1\/4)\/l)))**(-2\/57) assuming l is positive.\nAnswer: l**(-161\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2321 - -2279. Put 5, y, -10 in increasing order.\nAnswer: y, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25104 - -0.02.\nAnswer: 25104.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + -152. Suppose 0 = -3*x - s + 290. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -172. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/171 and 67\/45?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 455 - 459.07. Let p = s - -0.07. Let t = 38 + -188\/5. Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -30*x**2. Let v(p) = -48*p + 71. What is v(g(q))?\nAnswer: 1440*q**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 12*b = 0 for b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 - 192\/378. Let s = -3 - -4. Which is the closest to s? (a) -1\/4 (b) o (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 124 + 1\/3*v**3 + 25*v - 1\/2*v**2. Determine d(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5697936 millilitres?\nAnswer: 0.0005697936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 24*p - 3*c - 1, 4*p = 4*c + 8. Solve -5*a - 3*g + 11 - p = 0, -4*a + 3*g + 21 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -779515 + 1454672. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -62?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99*23\/(-5865)*9*90\/243?\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/35? (a) 0.0042 (b) -4 (c) -0.01 (d) 1\/6 (e) 1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 1)*16\/24*-2. Let z(m) = -5*m + 5. What is z(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0125124 to four decimal places.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from oyoaoyoaayooooyooo?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2924, -8512, -17832, -30884?\n\"Answer: -1866*u**2 + 10*u - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -45, 1, 0, -3, -32 in increasing order.\nAnswer: -45, -32, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 11343 - 11334 = 3*s, -5*s + 13 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.639891 - 2.64. Round n to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5\/7304, 1\/8, 296, -5, 2 in increasing order.\nAnswer: -5, -5\/7304, 1\/8, 2, 8, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*t**2 - 103*t**2 + 11*t**4 + 54*t**2)*(-9706 + 347*t + 703*t + 9706).\nAnswer: 11550*t**5 + 2100*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26243470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2856572, -2856584, -2856608, -2856650, -2856716, -2856812, -2856944?\nAnswer: -2857118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/21251926 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*1102\/(-1729)*7)\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331302120 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.25. Let u = -0.35 - d. Let z = -11 - -11.5. Which is the nearest to u? (a) 5 (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 274. Calculate the least common multiple of h(-38) and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h**2 + 21*h + 4. Let u be 54\/4 - 4\/8. Let o(z) = 8*z**2 + 10*z + 2. Let m(b) = u*o(b) - 6*s(b). Find y, given that m(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9907599.\nAnswer: 3, 13, 254041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/6)\/3*-2. Suppose -12 = -a - 2*a, 6 = -2*j + k*a. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3. Let g = -11 + 8. Let p(o) = -7*o + 1. Let z be (2 - 4 - -3)\/((-2)\/8). Let c(h) = -9*h + 1. Let u(m) = z*c(m) + 5*p(m). Determine g*u(i) + k(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y - 4. What is f(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2164006437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7 + -2)\/(8\/(-12))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28461+-29.436\nAnswer: 28431.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l**5 - 66*l**4 - 18*l**3 + 106*l**2 + 72*l = 0. What is l?\nAnswer: -4, -1, 0, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101141334 (base 5) to base 6.\nAnswer: 12455502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + o - 3*o = -17, 5*o - 5 = 0. Solve j - 3*g = 13, -2*j - c*j + 5 = 5*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 198*l - 17 = -202*l, -46823*g - 5 = -46821*g - l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11086?\nAnswer: 2, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 15*y**2 + 4*y + 146. Let i be h(14). Solve 0 = -i*f + 6 - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l - 186. Let b(r) = -r - 3. Let j(z) = 22*b(z) - 2*p(z). Let k be j(8). Solve 5*c - 3*i = c + 1, c - 3*i + k = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 - 155*k**2 - 54*k + 115. Give w(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) -24\/7 (b) 3 (c) 6 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/96*(-158)\/(-395)*-172?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -425 - -5?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Suppose -4*t + 38 = -2*t. Let i = 20 - t. Solve q*d + i = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(11\/5)\/p)\/p*p\/(p**15\/p)*p\/((p*(p**(-8\/9)*p)\/p)\/p)*p*p\/(p*p*p**(-1\/8)) assuming p is positive.\nAnswer: p**(-3883\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2 + 0 - 6*t**2 - 3*t + 4*t**2. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*v + 9, -4*v - 96156 = -4*q. List the prime factors of q.\nAnswer: 29, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/280*-7*12*4\/15?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 - (0 - -1) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -16*x + 13*x. Let h = -1 - -7. Calculate the least common multiple of x and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(105)\/sqrt(5))\/(3*sqrt(3)*5).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:21 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 552568649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(80)*1))\/((sqrt(8) - (-2*sqrt(392) + sqrt(392)))*2).\nAnswer: sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 8*i**2 - 5*i + 1. Let h = -1855 - -1848. Calculate o(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 12. Suppose -p + 3*p = 6. Determine q, given that -p*q - 6*q**3 + q + q**4 + k*q**2 + q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by (3 - (-10 - 43))*1\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1225904 and -4?\nAnswer: 4903616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 + -16?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10988 and 62712?\nAnswer: 2571192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/15*198\/693)\/(((-1420)\/1200)\/(-71))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 12, -46325 = 5*w + 2*b + 184167. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/11)*w**(-13)*w**(-8\/7)\/w**(-2\/11) assuming w is positive.\nAnswer: w**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 61*m + 71. Let p be d(-1). Let j(k) = 4*k**2 - 10*k - 8. Let g(f) = -9*f**2 + 20*f + 15. Let a(n) = 3*g(n) + 7*j(n). What is a(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -1\/6, -0.1, 611 in decreasing order.\nAnswer: 611, 6, 4, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 2 a when four letters picked without replacement from {r: 6, p: 6, y: 2, a: 3, l: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*k**2 + 2 + (k - 4*k + 2*k)*(-3*k - 3*k + 3*k))*(3*k**2 + 3*k**2 - k**2)*(-1 + 2 - 4) in the form p*k**3 + g*k**2 + z*k + m + s*k**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 5*l = -9*l - 52 - 40, 4*a - 2*l = -0*a + 64 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - 13. Let g = 5 - f. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 659907 and -0.54.\nAnswer: -356349.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/p**9)\/(p**(1\/3))**(-8) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 8 = 2*s. Let f(c) = 7*c**2 - 4*c + 7. Let h be f(5). What is the greatest common divisor of h and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/h**(4\/7)))\/h)\/(h**3\/h))\/(h*h\/(h\/(((h**18\/h*h)\/h)\/h))*h*h*h**10))**(-12) assuming h is positive.\nAnswer: h**(2640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/360 + 5*g**4\/24 + 2*g**3\/3 + 2*g**2. Let q(w) be the first derivative of k(w). Differentiate q(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 482 (c) 0.1 (d) 1\/2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.3. Let z = -1520 - -902. Let j = z - -614. Which is the biggest value? (a) 0.1 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 1220011222?\nAnswer: 1220011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*g + 726 + 728 + 771*g - 1447 + 373*g.\nAnswer: 934*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 355360 and 8884?\nAnswer: 355360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*p = 44, -38 = -5*a - 4*p + 60. Calculate the common denominator of (-84)\/90*a\/(-273) and 6\/55.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/380)\/(7\/(84\/9))*(-16)\/(-304).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214162297.\nAnswer: 214162297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/431 and 85\/6034.\nAnswer: 6034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 93 = -2*h + 2*m - m + 4*m, -59 = -4*h - 11*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 189293090.\nAnswer: 189293089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 891091\/111 > 8027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 1, e: 7, w: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h + 2*r - 1, 4*r = 20. Suppose 0*n - 12 = -h*n. Solve k - n = -3*k, -3*y = 3*k - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 - 15*x + 194 - x**2 - 19*x.\nAnswer: -x**2 - 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r + 98. Let z be c(3). Let j be ((-2)\/(-2) + -1)*1. Let k be 0 + (1 - (j - -1)). Solve -2*f = -k - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-2.93.\nAnswer: -1.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11164250 + -312?\nAnswer: -11164562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x - 6. Let r(w) be the first derivative of w - 1\/2*w**2 - 3. Suppose -z - 1144 = -1143. Determine z*t(c) - 5*r(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -364 - -538. Let u be 30\/k*(2 + 88\/(-45)). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 3. Let f = -182 + 176. Give g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 343803, 687653, 1031589, 1375653, 1719887, 2064333, 2409033?\n\"Answer: 7*m**3 + m**2 + 343798*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a factor of 73539732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbagaabwgzkzab. What is prob of picking 2 a and 1 b?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 3, 12, 33, 72?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**2 - 3*c**2 + (-4*c + 2 - 2)*(0*c + 3*c + c) to h*c + o + u*c**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 222072*x**4 + 374269?\nAnswer: 888288*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1739480*a + 7*a**2 + 1739480*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8559*q - 36167*q + 231721 = -108016 - 74383 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -73, 1.1, -64351, -5\/2 in descending order.\nAnswer: 4, 1.1, -5\/2, -73, -64351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/((-672)\/(-240))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (87\/12 + -3)*-4. List the prime factors of (r*(-3 + 2))\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 - n + 4. What is the least common multiple of u(-5) and ((-1)\/4)\/((-1)\/126)*(-55660)\/(-19481)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - -1406604?\nAnswer: 1406666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**3 + 1 + 6*b**2 + 5*b**3 + 0 + 8*b. What is the least common multiple of x(7) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18150 - 18123. Calculate the remainder when 716 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -401*d + 403*d. Let p(l) = l**3 - 6*l**2 - 14*l - 15. Let c be p(d). Is 53 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. Suppose -4*o = -4*a + 28, -3*o = -5*o + 4*a - 18. Let f = -18628 - -55885\/3. What is the closest to i in -4, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -3*i, 26 = 2*m - 7*m - 4*i. Let o be (-56)\/(-21) + m\/3. Suppose -o*v + 969 = v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*a - 4, -4*j + 4*a - 11 - 9 = 0. Let r be 3*94 + 5 + j. Suppose 5*o = -0*o + r. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 17*d + 7*d. Let y(z) = 110*z - 33*z - 65*z. Determine y(g(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/(989\/129)*(-12)\/(-15)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 1.6 in increasing order.\nAnswer: 0.2, 1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 780\/(-14) + 18\/(-63). Suppose 0 = 31*j - 15*j + 2144. Let n = a - j. What is the remainder when n is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16451720.\nAnswer: 2, 5, 19, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -10, 0.3, -0.5, -146?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 11*w. Solve w = -3*j - 1 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:56 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4146 - -4235. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - q - q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -460000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 681*n**4 + 4*n**3 + 8*n + 689. Let i(c) = -2*c**4 + c**3 + 2*c. Let j(w) = -g(w) + 4*i(w). What is the first derivative of j(d) wrt d?\nAnswer: -2756*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:49 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -114*f**7\/7 + 127*f**3\/3 - 158. What is the third derivative of z(n) wrt n?\nAnswer: -13680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1366*s + 35578 = -13598 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -847530 divided by -423765\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 4\/9, -0.4, 21.4, -1\/4 in decreasing order.\nAnswer: 21.4, 4\/9, -1\/4, -0.4, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6 - 16*q**2 + 19 - q**3 - 1. What is the lowest common multiple of j(-16) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 79*u. Let g(x) = -x + 5833. What is g(h(c))?\nAnswer: -79*c + 5833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333956 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/25, -0.34, -117, -4\/3, 3\/2, 2?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3528931 divided by -6.\nAnswer: -3528931\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**3\/27 - 107*l**2\/9 - 340*l\/3 + 6307. Factor x(u).\nAnswer: -2*(u + 5)*(u + 102)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -385.5 - -385. Let a = 2.6 - 3. Let h = a - t. Sort 0.04, h, 0.2 in descending order.\nAnswer: 0.2, h, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 177565572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2 - i + 1. Let m(n) = 23*n**2 - 2*n - 25. Determine -2*k(z) - m(z).\nAnswer: -5*z**2 + 4*z + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3324 - -3324.12. What is the closest to -0.1 in 3\/46, -2, f, 0.4?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*a = 3, r + 2*a = 2*r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119466513 and 11.\nAnswer: -119466502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 26. Let q = y + 38. What is the remainder when 38 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5984*w**3 + 2 - 5987*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -5 (b) -1\/12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 1. Let l(b) = -1. Let p(k) = -2*h(k) - 2*l(k). Let a(m) = -8*m**2 + 16. Let x(q) = -3*q**2 + 5. Let w(n) = 5*a(n) - 16*x(n). Give p(w(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1157 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 14785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 747000 divided by 62250.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2210 + -1986. What is the highest common divisor of 1106 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177227.\nAnswer: 31, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = -3. Suppose z*x - 9*x = -30. Let i(m) = -7*m**3 + 6*m**3 - 2*m - 5 - x*m**3. Let f(y) = 5*y**3 + 2*y + 4. What is 7*f(g) + 6*i(g)?\nAnswer: -g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - 1.6. What is the third biggest value in s, -0.8, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-4)\/(-12))\/((-4)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Suppose -9 = -4*g + 2*x + 5, 0 = -2*g - x + 9. Suppose 5 = -g*n + h, -3*q = 3*n - 192. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8 + 128*j + 3*j - 20 + 5. Let t be k(4). Suppose -2*g = -t - 369. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-408)\/17*7\/28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/4 + 5584815*g\/4 - 5584821\/2 = 0 for g.\nAnswer: -1861607, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/((-1050)\/(-40))*-10 + -1*36. Let y(q) = -72*q**2. Suppose 0 = -5*z + 8 + 17. Let p(j) = -13*j**2. Calculate b*p(h) + z*y(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407 divided by -4641.\nAnswer: 407\/4641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58160416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -9*u + 6*u. Let p be (-262*(-3)\/(-9))\/(u\/6). Is p - (4\/(-8))\/(3\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/30 - x**4\/18 - 2*x**3\/9 - 19*x. Factor f(b).\nAnswer: 2*b*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-270))\/(1\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - -24.\nAnswer: 23.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*(i*i**(-3\/10)*i)\/i*i))\/i*i)\/i*i)\/(i*(i*i\/(i*i\/(i\/i**(-12))))\/i))\/(i*(i*i**(1\/12))\/i)**(1\/14) assuming i is positive.\nAnswer: i**(-12413\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.355 - 0.055. Is m greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 + 6*m**3 + 3*m**3 - 6*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -339\/2 + 3733\/22. Put 0.5, 5\/4, 11, 0.3, p in ascending order.\nAnswer: p, 0.3, 0.5, 5\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202120001002 + -102?\nAnswer: 22202120000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 27. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187.97 - -188. Let i = -3.97 - r. Which is the nearest to -2? (a) -1 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 5*m**3 - 5*m + 4*m + (-m**2 + 0*m**2 - m**2)*(-74*m - 72*m + 145*m + 61).\nAnswer: 8*m**3 - 122*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.99. Let x = n - 1.99. Let p = -5.5 - -0.5. Sort x, p, 4 in decreasing order.\nAnswer: 4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*a - 31, -3*a = -2*r - a + 32. Suppose -42 = -7*n - 7*n. What is the remainder when r is divided by (n + -4)\/((9\/(-30))\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*v = -9, 10*v + 15 = -5*j + 13*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u + 8. Let l(r) = -r - 1. Let g(c) = -c**3 - c**2 + 3*c + 2. Let z be g(-1). Give z*n(p) - 5*l(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-50) - 34\/10. Which is the nearest to -0.047? (a) -4 (b) 2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtdd. Give prob of sequence ddtd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d + 7*d - 5*d)*(5 + 3 - 2 - 2).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 7*a - 912. Suppose -8*y + 588 - a = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 5)*(-2*d**4 - 9*d**2 + 17*d**2 - 4*d**4) - 4*d**4 - 6*d**4 + 0*d**4.\nAnswer: 20*d**4 - 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(396))*-6 - ((sqrt(11) + 3)*5 + -2))**2.\nAnswer: -410*sqrt(11) + 18516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230352 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 + 0*q**3 - 3*q**3 + (-3*q**2 - 2*q**2 + 3*q**2)*(2 - 2 + 2*q) - 8350*q - q**3 - q**2 + 8440*q - 2*q**3.\nAnswer: -6*q**3 - q**2 + 90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1 (b) -24 (c) -6 (d) -915\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2 + (20 - (8 + (-330)\/(-18)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -1.5. Which is smaller: t or -0.9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (3 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 4*f**2 - 3*f + 1. Let i be q(4). Let a be ((-12)\/14)\/(-2 + (-87)\/(-42)). Let s = a - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108872 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 821. Let g(a) = -a**2 - 273. Give 7*g(d) - 2*t(d).\nAnswer: d**2 - 269","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 124158 + -16?\nAnswer: 124142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*v - 67 + 87 - 19*v wrt v?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t**4 + 43*t**4 - t - 29*t**4 - t**3 as d*t**3 + u + m*t**2 + w*t + h*t**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 5:10 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20428 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753260 to the power of 1\/2, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w**(-3\/4)))\/(w*w**(6\/11)\/w*w))**(5\/9))**(-4\/5))**(-43) assuming w is positive.\nAnswer: w**(-1505\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428\/6902*2\/(-6)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -224337 divided by 1\nAnswer: -224337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2379, -4, 3, -5, 5 in descending order.\nAnswer: 5, 3, 2, -4, -5, -2379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62592 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*k + 156, 5*l + 0*l - 794 + 526 = -39*k for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/37631485 and -29\/75.\nAnswer: 564472275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -10*s**4\/3 - 122*s**3\/3 + 304*s**2 + 17536*s\/3 + 60416\/3 = 0.\nAnswer: -8, 59\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = -o + 5*z, 5*o - 1878185 = -o + o - z - 1878139 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 19.7. What is the third biggest value in -2, 3\/8, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 21*g - 83. Calculate h(-22).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*t + 54, -209102*z + 209098*z - 64 = 2*t for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 102153*s - 71. Let g be y(7). What is g rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -887 + 885.6. What is the fourth biggest value in -1\/4, 0.05, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = 272*m - 137*m - 157*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11442 - 11?\nAnswer: 11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -12590558.91?\nAnswer: -12590550.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.64 * -2.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7845.993 microseconds to minutes.\nAnswer: 0.00013076655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*11.25\nAnswer: 56.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 123aa5 + -3?\nAnswer: 123aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111.572 + -2.428. Which is the second biggest value? (a) x (b) -3 (c) -0.5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 84*k - 35. Suppose -2*n - 23 = -q, 3*q = 2*q - 5*n + 2. Is o(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k. Suppose 10 = -0*w - 2*w. Let s be g(w). Let q be 1*-2 + 64\/30. Which is the closest to 1\/4? (a) 2 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50622 - 50620. Factor 79\/6*a - 9\/2*a**h - 2\/3*a**3 - 3.\nAnswer: -(a - 2)*(a + 9)*(4*a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2*p - 4. Let u be l(0). Let w(q) = -6*q - 21. Let g be w(u). Let y be 0 + -1 - 3 - -19. Calculate the greatest common divisor of y and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 14420*l + 129618 = 0. Calculate l.\nAnswer: 9, 7201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-15 - (-8 + -21)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -323022 (base 4) in base 7?\nAnswer: -14016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i + 5*m - 15, -m + 3 = 3*i. Solve -10*w + 13*w + 15 = i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from zzcdzcnnnc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h + 2450*h = -303*h - 59793 + 15603 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*k*n + c**2*k*w + 4*c**2*k - 2*c**2 + 198*c*k*w - 14*c*k + 6*c*n*w - 3 wrt w.\nAnswer: c**2*k + 198*c*k + 6*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 + -9) - -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 773370861365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -12 (c) 3\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 287*q + 46. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0879064 seconds?\nAnswer: 87906.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - (-68)\/10. Suppose -9 = -4*g + p. Suppose 18 = 2*t - g*y - 0, 5*t - 5*y - 25 = 0. Solve -4*n + 3*n + t = 0, 4*n = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/3 + 40*t**3\/3 + 358*t**2\/3 - 280*t + 147 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/(-3))\/((-16)\/6 - -2). Suppose -k*s + 32*s = -10. Let o be s*((-6 - -4) + (-26)\/(-10)). Sort o, 0, 3 in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 808*p**2 - 260*p + 2421. What is k(-269)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/420 - n**6\/80 + n**5\/40 - n**4\/48 - 10*n**2 + n. Factor d(b).\nAnswer: b*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(-2 + 5 + 2 + -1*sqrt(80) + sqrt(80) + 1)*2)**2.\nAnswer: 186624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10325*f + 9867 = -10624*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 559*o**3 + 66*o + 2*o**2 - 562*o**3 + 0*o**2 + 13 - 11 to the form k + n*o**3 + l*o**2 + c*o and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 1583560*v**2 - 25335680*v.\nAnswer: -5*v*(v - 316696)*(v - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001812189895 rounded to seven dps?\nAnswer: 0.0018122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 16*k - 10. Let c be s(15). Suppose -3*u + b + 6 = 0, -c*u - b + 12 = -2*b. Solve -5*z - u - 7 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/33066 and -97\/31062.\nAnswer: 1025046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105840\/6552 - 4*(-5)\/(-130).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*b**2 - 2*b + 1651 - 24*b**2 - 1651 in the form l*b + h*b**2 + z and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:20 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-32)\/128)\/(1\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.799403g in micrograms?\nAnswer: 2799403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3202 + 2334?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14198774*c**2 - 4717573*c wrt c?\nAnswer: 28397548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 154804 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2285 (base 13) to base 2\nAnswer: -1001011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6323018*u - 102 = -6323020*u + y, -4*u - 2*y = -204 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210102 (base 3) to base 9.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a - 1. Let d(z) = 3*z**2 - 14*z - 13. Let y(g) = 4*c(g) - d(g). Let f be y(-9). Let i = 2 + f. Solve -i*o - 1 = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - -0.2. Let v = -0.3 - 0.2. Let i = -2\/45 - -4\/9. What is the nearest to i in v, d, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.33 - -5.57. Let x = l + -83. What is the second biggest value in -6, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5840.2 to the nearest one hundred.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**4 - 3*a**4 + 5*a**4)*(522 - 559 + 437).\nAnswer: -800*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {o: 4, v: 2, u: 1, g: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqq when three letters picked without replacement from qgqqqqqqqqqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/679, 7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 413712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1769447762 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68973 - 68975. Let i = -14 - -20. Suppose 4*q = -i + 22. What is the biggest value in q, a, -21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 38*q**2. Let t(x) = 456572*x**2. Calculate t(r(b)).\nAnswer: 659289968*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*q + 5*y, -1 = -4*q - 3*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - g + 9 = 0, 4*g = a + 12 + 4. Suppose -1 = 3*n - 4*h + 3, 0 = -2*n + 2*h. Calculate the highest common divisor of a and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/457108 != 137\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/98 and 9\/343.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.348406163 to 5 dps.\nAnswer: 0.34841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51815 and 2580?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9205843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 46. Let s(u) = 17*u - 10. Let b be s(g). Let a = 378 + b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637685537.\nAnswer: 229, 2784653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14672 and 179704.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/7 + 36794*d\/7 + 4277520\/7 = 0.\nAnswer: -18280, -117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 71*f**3 - f**2. Let q(c) = -142*c**3 + 2*c**2. Let i(n) = 6*q(n) + 13*u(n). Let b be i(-1). Let z be (-1)\/4*b\/(-1377). Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - -6) + -11 - 2. Let p be (1 + -10)*(-5)\/3. Solve -k*f + p = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(33\/5)*(t\/t**(-1\/3))\/t**(3\/5)*((t**(-6)\/t)\/t**(-3\/2))\/(t**(2\/3)*t**(1\/4)) assuming t is positive.\nAnswer: t**(-121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -7096, -5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37327 + 79669. Calculate the least common multiple of 10 and w.\nAnswer: 211710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**8\/336 + n**6\/72 - 2*n**3\/3 - n. Let h(q) be the second derivative of m(q). Find the third derivative of h(k) wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 7*c**4 + 5*c**3 + 7*c**2 - 6*c.\nAnswer: c*(c - 6)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7409*q - 1. Let l(t) = 51887*t + 8. Calculate -3*l(c) - 22*u(c).\nAnswer: 7337*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - (-17)\/(-5). Suppose 0 = 3*z - 3*x + 29 - 5, 2*z = x - 12. Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 22)*10\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + u + u = 28, 0 = 5*k - u - 21. Suppose k*j + 4*c - 272 = 0, 2*c - 126 = -4*j + 94. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*t - 4 - 103*t + 227*t + 5)*(29*t - 153 + 153).\nAnswer: 6815*t**2 + 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -37*i + 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 2, m: 1, b: 1}. Give prob of sequence gb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*s - 126*s = -478*s - 10576 - 11324 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -s + 5*l, 7*s + 5*l = 3*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**8\/336 - p**7\/56 + p**6\/18 + 7*p**3 - 5*p - 1. Let y(b) be the second derivative of f(b). Find k such that y(k) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6942 divided by -5426\nAnswer: -3471\/2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15031, 29497, 53611, 87379, 130807?\n\"Answer: l**3 + 4818*l**2 + 5*l + 10207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/6692 and 11\/272460.\nAnswer: 1907220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 42a0839?\nAnswer: -42a0818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 129 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 10*t - 5131. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/((-2560)\/(-1120)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 2*m)*(0*m + 0*m + 4*m) + 0*m**2 - 4*m**2 + 2*m**2 - 78*m**2 + 632*m - 632*m in the form v + l*m**2 + s*m and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 5*k**4\/2 + k**3\/3 + k**2\/2 + k - 1. Suppose -2*i - 3 = y - 2, -4*y + 8 = -4*i. Give j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372573.1 months in centuries?\nAnswer: 1977.14425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -84465?\nAnswer: -84441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/117, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k. Suppose k = 5*a + 10 + 15. Is a + 230 - 2\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 785*f**3 + 787*f**3 + 504 - 152 to y*f**3 + m*f**2 + b*f + o and give o.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:39 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*r + 121647 + 5886 = -68205. Is r a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4591 or 4602?\nAnswer: 4602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -1 - 1 - 2. Suppose 2*w - w + 5 = 0. List the prime factors of (3\/s)\/(w - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.99, 90\/37, 11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s + 3*s - 5*s)*(-2088*s + 3739*s + 2114*s) in the form f + c*s**2 + v*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -81+35\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:08 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.1. Let v be (8\/(-16))\/(85\/2). Let r = -173\/255 - v. What is the third smallest value in r, d, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liqliqql. What is prob of sequence qqil?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(3\/24*-2). Let q = -29 + l. Let s(d) = -d**3 - 8*d**2 + 7*d - 4. Is s(q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291632051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 6. Let t(j) = -2*j**3 + 3*j**2 + j - 2. Calculate t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/6 - r**3 + 2*r**2 + 11*r. What is the units digit of j(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225 + 226. Which is bigger: m or -4\/57?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -3 + (sqrt(102)\/sqrt(6))**2 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 162735384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a3 - -88619?\nAnswer: 88811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/1)\/((-11)\/(-44)). Suppose -s - 12 = -c*s. Suppose -s*v = 5*i - 37, 0 = -3*v + 4*v - 2*i + 7. Calculate the greatest common divisor of v and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -8 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6817004 + 696.3824996. Let f = 697 - i. Round f to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1397143026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 11)\/(144 + -143))\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imw when three letters picked without replacement from iimwkuok?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -23*o**3 + o**2 + o + 1. Let y be z(-1). Let w = y + -2. Let l be 97\/11 + 4\/w. What is the highest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*w = -0*w - 22, 2*k + 7 = -3*w. Solve 5*i = k*y + 16, -7 = -3*y - 4*i + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 110 = -2*j - 2*q, -5*j + q + 251 = 0. Let z = j + -44. Let -z*c**2 - 16*c**2 + 35*c**2 + 28*c - 24 = 0. Calculate c.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -911, -31.\nAnswer: -911, -51, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*r - 6, 12*r - 2*p + 9 = 11*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9782.064 kilograms?\nAnswer: 9782064000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-16)\/8 - 104\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:53 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 6*w + 131, 0 = -2*w - 4*w - 34*k + 38*k - 136 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, e: 1, u: 1, g: 1}. Give prob of sequence gu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 2}. What is prob of picking 4 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1042288\/9 - -115928. Let n = 118 - x. Let q = 3 - 2. Is q greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -76, -141, -206, -271?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2137164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - -3. Suppose d - 15 = 2*t. Calculate the smallest common multiple of 4\/(1\/(2\/2)) and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 36 = -97*j + 90*j, -7*j + 2*b - 48 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400ab (base 12) to base 10.\nAnswer: -83075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 9*s - 144*s**3 + 148*s**3 - 554*s**2 + 554*s**2 + 4*s.\nAnswer: 4*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 + 961*y + 63. Let k(c) = -2*c**2 - 320*c - 23. Determine -4*i(d) - 11*k(d).\nAnswer: -2*d**2 - 324*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from hqhiymqumumhuhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6042 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27753116 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521.1 + -520.129. Is -3 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 602 or 603?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/8*2 + 0. Sort 3, -5, q in descending order.\nAnswer: 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:22 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 4*s**2 - 3*s**2 + 2 - 163877*s + 163836*s to the form f*s + p + i*s**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**2\/10 - 8*r\/5 - 2\/5.\nAnswer: -(r + 2)*(7*r + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y**2 + 2 + 0 + 6*y + y**2 - 4*y. What is u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 8*x - 12. Let y = -24 + 19. Let f be g(y). Let s(r) = r**3 + 2*r**2 - 2*r**3 + 0*r**3. Determine s(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 0*a + 0 + 9. Let h be f(-9). Let o be -2 + h\/3 + -1. Solve -1 = -o*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109491619121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.608 - -193\nAnswer: 193.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/476, -1\/2, 5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -1\/30*r**5 + 0 - 10\/3*r**3 + 1\/2*r**4 + 0*r**2 + 25*r. Let k(p) be the second derivative of j(p). Differentiate k(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0*p**2 - 5 + 4*p**2 - 2*p - 6*p. Let x = -41 + 42. Let g(l) = l**2 - l - 1. What is x*r(v) - 6*g(v)?\nAnswer: -2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**5 + 6*r**3 + 7*r**2 - 4*r + 71 wrt r.\nAnswer: -660*r**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (6 + -17) - 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*g**3 - 2*g + 12*g**2 + 115 - 63 - 50.\nAnswer: -83*g**3 + 12*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -11, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53962621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.3, -1, 0.04, -13\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -2, 3 in increasing order.\nAnswer: -2, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 - 3 = 0. Let d be 3 + 1*(-2 - -1). Suppose d = -4*b + 14. Is k at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - j**3 + 2*j**3 + (-26 - 98 - 39)*(5*j**3 - 2*j**3 - 2*j**3) + 6*j**3 + 9*j**2 - 9*j**2 to t*j + r*j**2 + w + a*j**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 4*l - l - 10*l + 13 - 13 - l - l + l + (-6*l + 3*l + l)*(-5 + 2 + 2).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1.17. What is the second biggest value in b, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1115, 1978, 3417, 5432, 8023, 11190?\n\"Answer: 288*d**2 - d + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 - 20*x - 100. Does 55 divide z(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 4*x**2 - 12*x**3 + 14*x**3 - 2 - 2*x**4 + 8 - 5 - 7 to the form d*x**3 + t + q*x + y*x**4 + h*x**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4623185 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -47 (c) 0.6 (d) -22305.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.49843488 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3383 + 34933*v**3 - 2*v - 3*v**2 - 1696 - 1687.\nAnswer: 34933*v**3 - 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -21 (b) -3\/7 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:41 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 23, 24, 25, 26, 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3, 35.3, 168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b - 20, 2*j + 5*b - 182 = 0. What are the prime factors of j?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 2486130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**2 + 6*l**2)*(0 + 0 + 3)*(3925 + 3877 - 6925).\nAnswer: 2631*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-1) + (3 - -2). Suppose g - 5*s - 44400000 = m, 4*s = 3*g - 191081271 + 57881271. Round g to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1264828 by -4.\nAnswer: 316207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a - 5*a + 14*a to the form w + m*a and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 472155 or 472156?\nAnswer: 472156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 677606.97637049.\nAnswer: 677606.77637049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 907, 2, 5, 48 in decreasing order.\nAnswer: 907, 48, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3238*n**4 + 1025*n + 6*n**2 + 3284*n**4 - 7687*n**4 wrt n.\nAnswer: -27960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 3, d: 4, h: 2, y: 1, b: 2}. What is prob of picking 1 i and 2 z?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*m + 30507 - 30429, 16*m + 4*j = 11*m - 65 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (306\/15)\/((-16)\/(-40)). What is the highest common factor of 663 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1 - -3 - (6 - 5). Solve 50 - 38 = -f*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 4. Let g(q) = -2*q + q**2 - 3 - 1 + q. Find the common denominator of g(7) and w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119807785787 - -1207.\nAnswer: -119807784580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*u + 1, -10*u - 13 = -23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 + 6*u - 5. What is a(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-1 + 22 + 26) + 0 + 0 + 2 - 3 + 4 - 3 + 4 - 3 + 0 + 0 + 0 - 1 + (2 + 1 - 2)*(-1 + 1 + 1))*(w + 17*w - 8*w).\nAnswer: 480*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 254\/76855 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 9414 = 29*b. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/4)*o*o*(o\/(o\/o**6)*o)\/o*o*o)**(-2\/39)\/(o\/o**(-4\/5)*o\/o**(-1\/5)*o)**14 assuming o is positive.\nAnswer: o**(-1467\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/689 (b) 4 (c) -2\/3 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*p + 1803*p + 1339*p - 4*p**2 + 1028*p - 481*p**4 wrt p.\nAnswer: -5772*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76247 is divided by 25373.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 47*s**2 - 15*s + 75. Let w(m) = 3*m**3 + 58*m**2 - 14*m + 76. Let h(t) = -3*w(t) + 4*x(t). What is h(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -16) + 0 - (-7 + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 48.1314. Round v to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1387*r**2 - 133*r + 133. Let a(h) = -1 - 2 - 7773*h**2 + 1 + 7752*h**2 + 2*h. What is 133*a(x) + 2*n(x)?\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 194c37?\nAnswer: -194c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61856 take away -0.5?\nAnswer: 61856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((l*l**(2\/11))\/l)\/l)\/l)**(7\/2)*l**(-1\/10)\/l**7)**(2\/9))**(-29) assuming l is positive.\nAnswer: l**(42949\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 216.086 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/u)**(24\/7)*(u**(-12)\/u)\/(((u*u**(3\/10))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-1111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 9*d**2\/2 + 2835*d\/4 = 0.\nAnswer: -63, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142b616 (base 12) to base 2.\nAnswer: -1111011010111110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02696 rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2\/17, -0.2, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siicws. Give prob of sequence wic.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4475482684 divided by -2\nAnswer: 2237741342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 75. Suppose t*m + g - 46 = -5, -3*m - 2*g + 26 = 0. Calculate the highest common divisor of m and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23033321 - -231113?\nAnswer: -22202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5751.7 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35781\/3527 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 13.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 5538020*l\/7 + 3833708190050\/7.\nAnswer: 2*(l + 1384505)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2, 29 = 4*a + 3*m - 37. Let q = 3 + -12. Let v = q + a. Calculate the highest common factor of v and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Suppose 0 = 4*n - 3 + 11. Let d be 2\/n*(1 - 1). Let z(y) = -y**2 + 0*y + 2*y**2 + d*y. What is z(k(p))?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-76)\/8*2)*(-1)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 137218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3118368*u**2 - 8052786?\nAnswer: 6236736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*((-x + 71 - 28 - 13)*(4*x - x - x) + x**2 + x**2 - 3*x**2).\nAnswer: -9*x**2 + 180*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*1448.397.\nAnswer: -55039.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2. Let j(y) = y - 6. Suppose 3*m + 4 + 11 = 0. Let k(c) = m*j(c) - 15*t(c). Let h(a) = 25*a**2. Calculate h(k(w)).\nAnswer: 625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-8 + 10 - -24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -d + 4*s - 4, 4*d - 267 = -s. Let c = d + -33. Let g = c - -1. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 1426670341*k**2 + 1426670345*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292829150*j**2 + 379497*j - 371?\nAnswer: -585658300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 - (-5 + 9 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u**2 - 5*u**2 + 4*u**2)*(-2*u - u + 2*u) + 2 + u**3 - 2)*(-4*u**2 + u**2 + 4*u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 198582 divided by 8634?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hebddddddydcbdchdc. What is prob of sequence hch?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 12*x + 5. Let q be k(-6). Suppose -q*s + 41 = 1. What is the highest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/45*(-1550)\/(-1023) - 6\/(-33)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 16. Suppose 0 = -4*k + 184 + 464. Suppose -11*c + s*c = -k. What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 h when four letters picked without replacement from {j: 1, h: 2, g: 3, f: 1, m: 3, k: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 516 and 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6697834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*y - 6. Let c be 5 - (-4 + y\/(-3)). Let z(w) = w**3 - w**2 + 32. Let r be z(0). Calculate the greatest common divisor of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 23, -0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 804669 divided by 1?\nAnswer: 804669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1754 + 1758. Solve 32*u - 30*u + z = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -21. Let n be ((-1)\/v)\/((8\/20)\/(-2)). Let i(g) = -12*g**3 - 3*g**2 - g. Let h(r) = r**3 + r**2. Let a(q) = -5*h(q) - i(q). What is a(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-25))\/((-36)\/660).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/((m\/(m*m**(-5)))\/m)))*m\/(m**(2\/7)\/m*m))\/((((m*m**(-1\/23)*m)\/m)\/m)\/(m**0*m)) assuming m is positive.\nAnswer: m**(-39\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -171794.2 to the nearest 1000.\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 57912669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2 = -t, -34 = 284*q - 285*q - 4*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 988*p**3 + 31076*p**2 + 988*p - 31080 = 0. Calculate p.\nAnswer: -1, 1, 37, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 489906091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-1 + 1 - a)*(-a**3 - 6*a**3 + a**3 + (2*a - a + 3*a)*(5*a + 2*a**2 - 5*a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-14) + (-1)\/((-5)\/(-20))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(75)*5)**2.\nAnswer: -100*sqrt(3) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62507\/2476 + 3\/619. What is the common denominator of (18\/99)\/((-1)\/16) and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 7}. Give prob of picking 3 i.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264940 * 48.\nAnswer: 12717120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 - -270. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 17) + (2 - 17) + 7 - 5 - 89.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*k + 18 = -2*h + 4*k, -8*h - 130*k + 37 = -129*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 - 4*j**3\/3 - 3*j**2\/2 - j - 3. Let g = 3 + -1. Suppose -10 = 3*f + g. Give a(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 17*c + 4. Suppose -129*p - 506 = 10. What is m(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o + o**3 + 3*o)*(1 + 1 - 3) - 3*o**3 + o**3 - o**3)*(2*o - o - 3*o).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -312*-0.1\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, u: 6, s: 2, t: 1, j: 1}. Give prob of sequence wtww.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + sqrt(125) + 5)**2 + sqrt(125))*-6 + -5 + -4.\nAnswer: -812 - 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -3803*j**4\/12 + 5078*j**3\/3 + 11490*j. What is the second derivative of q(h) wrt h?\nAnswer: -7606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*j + u, -3*u = 2*j - 0*u - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from alalliagalggaa.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 3\/(-12)*-4. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619249294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 21, 9, 0.5 in increasing order.\nAnswer: -1\/3, 0.5, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1200300 (base 4) to base 8\nAnswer: 14060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -7599870.\nAnswer: -7599870.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/27 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201350421 (base 7) to base 6.\nAnswer: 1054552240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -902 + 3361. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83458 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23820930 is divided by 73749.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6710066189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2 - 7*d**3 - 3 - 5*d**2 + 4*d + 4*d**2 - 5*d. Does 19 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 16 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqedq. Give prob of sequence eqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3 - (3 + (8 - (5 - -2)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**3 - 8*g**2 + 5*g + 3. Let b(r) = -14 + 11 + 2*r - 4*r**2 + 4 + 3*r**3. Let m(d) = 5*b(d) - 2*w(d). What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -2382.\nAnswer: -7\/2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + 7*o**3 + o**3 + (-3*o + 6*o - 4*o)*(5*o**2 + 6*o**2 - 4*o**2))*(4 - 3 - 19) to the form v + s*o**3 + x*o + k*o**2 and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 636\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Let q = 5 + i. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(525))\/sqrt(252).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 7 (b) 25 (c) -10 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6278*q**2 - 1826 + 614 + 606 + 606 to n + o*q**2 + l*q and give o.\nAnswer: 6278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -3*t**2\/2 - 238*t + 311. Let j(r) = -2*r**2. Calculate y(j(f)).\nAnswer: 6*f**2 - 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -21\/2, 3, -2\/9, -70, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -5*g - 6 = 3*z, 2*z + 5*g = -t*z. Suppose -4*a + 1 = -3. Solve -z*u - a = 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.85 + -2.6. Let v = 4 - 4.25. Let w = v + k. What is the third biggest value in w, -5\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*u - 4*u = 0. Let m(l) be the second derivative of u*l**3 + 7*l + 7\/20*l**5 - 7\/2*l**2 + 0 + 0*l**4. What is the first derivative of m(o) wrt o?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/12)\/(1458\/25272)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04908 + 4.95092. Which is the closest to 48? (a) f (b) -0.4 (c) -0.3 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6))**(-2\/55)*(f\/(f*f\/((f**(-11\/3)*f)\/f)))\/(f**(9\/5)*f) assuming f is positive.\nAnswer: f**(-1196\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20381.9688 and -3.\nAnswer: -61145.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*u**3 - 733*t*u**2 - 2*t + 594 with respect to u.\nAnswer: 3*t*u**2 - 1466*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 63*u + 111*u + 36 - 58*u. Is 12 a factor of l(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/11, 1\/2, 0.2, 449?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, -76, -147, -198, -223?\n\"Answer: t**3 + t**2 - 95*t + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1808*n. Let f(t) = -69*t**2 + 39*t + 13. Let q(k) = 32*k**2 - 18*k - 6. Let d(o) = 6*f(o) + 13*q(o). What is w(d(j))?\nAnswer: 3616*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 8. What is the biggest value in 2\/5, -4, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 0.8 (c) 18 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - 3*2*sqrt(132))*-4)\/(6*sqrt(176)*2 - -6*(sqrt(176) - 1*sqrt(176))))**2 + -4.\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.8741 - -0.1721. Let n = 41 + -40.902. Let s = n - d. What is s rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:46 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106, -1719, -3534, -5333, -7110, -8859, -10574?\n\"Answer: s**3 - s**2 - 1829*s + 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7690 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:08 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*l + 6459, 0 = 2*a - 3*a + 2*l + 1612. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2309464um in kilometers?\nAnswer: 0.0000000002309464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4) - 383\/(-3). Let f = n - 3689\/30. Calculate the common denominator of -3\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 11*n**2 + 148*n - 835. Let w be d(7). Let a = 11 - 8. Solve a = -w*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 56436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162507 is divided by 23213?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 158825000 to the nearest 1000000.\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 31706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -439*z + 288*z + 1619*z in the form l + h*z and give h.\nAnswer: 1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s + 9. Let w be l(6). Let x be (-630)\/w - (-2)\/(-13). Solve -4*c = -4*v - x, 5*c - v - 4 = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753501, 3013972, 6781417, 12055836?\nAnswer: 18837229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:45 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 11:56 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111110001 (base 2) to base 10.\nAnswer: -5105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137286702 divided by 177373.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:37 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851?\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*q**2*v**2 + 5*q**2 + 24*q*v + 6*q - 18*v**2 wrt v.\nAnswer: -42*q**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5878, -22329, -49786, -88249?\n\"Answer: -5503*w**2 + 58*w - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1114*g**3*w**2 + 1633*g**3*w + 9925114*g**3 wrt w.\nAnswer: -2228*g**3*w + 1633*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 17*h = -22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244824*z - 171406 wrt z?\nAnswer: -244824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 7*n**2 - 3*n. Let l be s(2). Let p(t) = -t**3 + 34*t**2 - 281*t + 12. Determine p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) -3\/2 (c) -3\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681606.\nAnswer: 2, 3, 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0.03 (c) -3\/13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + sqrt(5) + 1 + (sqrt(5) + 1 - sqrt(5)) + 4 + 0 + -1*((sqrt(5) - (1 + sqrt(5))) + sqrt(5)) + 4)**2.\nAnswer: -22*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*h + 1473*h - 12 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 158317047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.137? (a) -3 (b) 0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -26*c**2 + 26*c + 85. Differentiate d(m) wrt m.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.922 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 43, 104, 189, 298, 431, 588?\n\"Answer: 12*y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 96. Give s(13).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 + -5. Let i = 203 + -1829\/9. Which is the closest to x? (a) 4 (b) i (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-21078)\/(-918) + -19?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 228 - 88 = -71*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41900506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 45 = 3*p, -2*m = -7*m - 2*p - 122. Let q = 3 + -1. What is the remainder when q\/(-3)*1*m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, 48\/731, 5, -1\/3 in ascending order.\nAnswer: -2\/3, -1\/3, 48\/731, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d - 1. What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 2187092 + 2187092.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4509134*h**2 - 8*h + 63748 wrt h?\nAnswer: -9018268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4344 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 2*r**2 + 2*r + 10. Let a be c(3). Calculate the common denominator of 21\/64 and (a\/(-1))\/(((-10)\/(-2))\/(-5)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110483 or -110797?\nAnswer: -110483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 34023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/4107610 and 13\/6498?\nAnswer: 702401310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 2. Let o be z(-3). Let f = -251 - 61. Let a = f + 314. Solve 0 = 2*b + a*t - 6*t + o, -18 = 5*b - 3*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/315 + 2\/(-9). Let o be (-18 + 1219\/23)*1\/7. Which is the nearest to -2\/7? (a) o (b) v (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(1\/((-6)\/9)). What is the third derivative of -5*f**2 - 12*f**5 - 5*f + y*f - 5*f wrt f?\nAnswer: -720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, 3, -5\/4, -2, -5\/2 in descending order.\nAnswer: 3, 0.2, -0.3, -5\/4, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(224) + sqrt(224) + sqrt(224) + 2*sqrt(224)))\/(sqrt(80)\/(sqrt(50)\/sqrt(5))).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42461967587 and 0.24.\nAnswer: 42461967587.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -628 + 184. Calculate the remainder when a is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 185*q**2 - 1448*q - 249. Give j(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19.3231 times -2\nAnswer: -38.6462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcpppomnmpqqqpmpq. Give prob of sequence mnpp.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 7*i = 16*i - 225 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t - 9. Let o be (2\/18)\/(13\/390)*(-4 + (-2)\/4). Put t, 1, o in descending order.\nAnswer: 1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*r = -27, 0 = i + r - 5 - 34. What is the highest common divisor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 33. Let n = d - -21. Let m = 23 - n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329443 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/12 + b**2\/2 - 2*b. Let n(z) = 8*z**2 - 8*z + 9. Let q = -152 - -155. Let m(i) = q*n(i) - 15*t(i). Factor m(p).\nAnswer: 3*(p - 2)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l - 5. Let z be h(2). Let r = z - 17. Let b = 1 + -6. Is b at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 3195*b**3 + 25557*b**2\/4 - 6389*b\/2.\nAnswer: b*(b - 12778)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14070.38+-0.53\nAnswer: 14069.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -800 - -82401\/103. Find the common denominator of -31\/3 and i.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereeeeerrkkkre. What is prob of picking 1 e and 3 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3814 = -1326. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1342086 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(54) - (2*sqrt(6) + sqrt(6) + sqrt(6))*2)\/((6*1*sqrt(16))\/sqrt(8)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7789\/3, -287, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:55 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y - 2. Let c be w(-3). Suppose 0 = -3*x + c*x. Suppose x = -4*d + 9 - 1. Solve 2*b + 0 = -r - d, 3*b = r + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = x - 4*x - 51, -b + x = -0*x - 2*x - 71 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8750 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*h**2 + g*h*q**3 + 3*g - 36*h**2*q**3 + 5*h wrt h.\nAnswer: -2*g - 72*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqipdppd. Give prob of picking 1 d and 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/7)\/r)\/r*r*r**(1\/11)\/r)**(-20) assuming r is positive.\nAnswer: r**(1840\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10557*l**3 - 21081*l**3 + 10523*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98060943 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657446 is divided by 1389.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, -2, -772607 in descending order.\nAnswer: 3, -2, -25, -772607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.75? (a) 4 (b) -3 (c) 2.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 8*y - 7*y. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 47.718611.\nAnswer: 54.718611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00257165 rounded to five dps?\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134 (base 5) in base 2?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 28288*s - 16. Let z be h(7). What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 2626344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.74, 88228 in decreasing order.\nAnswer: 88228, 7, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.27 - -1.17. What is the second biggest value in 2\/11, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-801)\/(-18) - (-2)\/(-4). Suppose 3*h - 16 = y. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 + 18 + -37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48, 183, 406, 717, 1116, 1603?\n\"Answer: 44*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(-4)\/(-21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/5))\/((d\/(d**(-3)\/d))\/d) assuming d is positive.\nAnswer: d**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2118, -4228, -6330, -8424, -10510?\n\"Answer: 4*z**2 - 2122*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = w - 34, 3*x - 110 = -3*w - x. Let a(b) = -b**2 - 14*b + 7. Let r be a(-13). What is the derivative of 5 + 22*n - w*n + r*n wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c + 74. Let w(s) = 3*s - 23. Let b(k) = 19*w(k) + 6*x(k). Let q(o) be the third derivative of -o**4\/24 - 2*o**3\/3 - o**2. Give 3*b(v) + 5*q(v).\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 29*v - 3174. Let h(s) = 2*s. Give f(h(r)).\nAnswer: 58*r - 3174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82891 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*m - 5*d, 2*m - 5*d + 2 = 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34455*b*s**3 - 327*b*s - 33*s**2 wrt s.\nAnswer: 206730*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 9. Calculate the smallest common multiple of n(4) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110046, -110021, -109996, -109971?\n\"Answer: 25*c - 110071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j + 1. Let s(d) = 7*d**2 - 8*d - 6. Let g(m) = -6*q(m) - s(m). What is the tens digit of g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303467 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16945 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -2.5. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0109 + 0.4109. Which is the second smallest value? (a) x (b) -2 (c) -7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302019322 a multiple of 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3 + 0 + 0)*(-7*q + 0 + 0) + 0*q - 4*q + 5*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - h = 4*k - 4, -h - 25 + 50 = k + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15023.01 seconds in microseconds?\nAnswer: 15023010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-48))\/(4\/(280\/(-15))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -29. Solve 2*q = -3*q - 2*x + 31, 0 = n*q + 3*x - 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6*b + 3*b)*(0*b**2 - b**2 - b**2) + 3*b**3 + 0*b**3 - 5*b**3 + (-36*b**2 + 36*b**2 + 25*b**3)*(-1 + 4 - 1)*(0 - 1 - 1).\nAnswer: -104*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73001 - 365003\/5. Factor -18\/5*g - 16\/5*g**2 + 0 + f*g**3.\nAnswer: 2*g*(g - 9)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417*v**3 - 2301*v**2 - 3280*v**2 - 2*v**4 - 4*v**6 - 1704*v**2 + 915*v**2 + 568*v**2 wrt v?\nAnswer: -480*v**3 - 48*v - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-4)\/(-5))\/((-1528)\/(-6685)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5, -2, -0.3 in increasing order.\nAnswer: -2, -0.3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*k + 388*k + 10*b = -256, -3*k = -2*b - 56 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -y - 123, -5*l + y = -3*y - 117. Let q be l\/(-2)*(1847993 + 7). Round q to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849944 is divided by 1919?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1924, 1929, 1938, 1951, 1968, 1989, 2014?\n\"Answer: 2*w**2 - w + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157284 (base 9) in base 10?\nAnswer: 1160077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 158 (b) 2728 (c) 5 (d) -1\/3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 219*i**3 + 1800*i**2 - 3632*i.\nAnswer: -i*(i - 4)**2*(i + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*i*j**2 + 4310*d**3*i - 3*d**3*j**2 + 30*d**2*i - 4*d**2*j**2 - 43*i*j**2 - 2*i + 5*j wrt d?\nAnswer: 24*i*j**2 + 25860*i - 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and 83\/1670.\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (32\/12)\/(-4)*401661\/(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38219519 rounded to two dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -10. Let h(b) = -b**3 - 6*b**2 - 7*b - 5. Let u be h(-5). Find the second derivative of -u + g - s + s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243322769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 - 4\/3*b**2 - 20\/3*b.\nAnswer: -4*(b + 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 162. Let a be k(-41). Suppose 3*s - 6 = s - 2*n, -12 = a*s - 4*n. Let z(f) be the first derivative of f**4\/4 + f**3\/3 + 9*f + 1. What is z(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n**2 + 34*n**2 - 15*n**2 + 5 + (-n + n + n**2)*(1 - 4 + 0) as u*n + z*n**2 + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 7. Calculate the remainder when f(-16) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197288 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4660 and 4418612?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26297 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let h(b) = -30*b**2 - 90*b. Let q(k) = -27*k**2 - 91*k. Let l(u) = 6*h(u) - 7*q(u). Determine d(l(x)).\nAnswer: 9*x**2 + 97*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -77, -79, -79, -77, -73, -67?\n\"Answer: j**2 - 7*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(208) - (sqrt(208) - (-1 + (-1 + sqrt(208))**2)) - sqrt(208))*-5 - (2 + -3*sqrt(208)*1*4)).\nAnswer: -4161 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 915*p**2 - p + 2. Let l be x(1). Suppose l = 3*h + 268. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.858 - 0.758. What is the second smallest value in 5, c, 0.3, -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from vxjjvjevxvhhjehx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 - 33*o**4 - 45*o**3 + 105*o**2 + 42*o - 72 = 0.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 28 + 2. Suppose 0*g + g + v = 0. Let h = 6 + g. Solve h = 4*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 39*g - 6. Let y(r) = 20*r - 3. What is -4*m(s) + 7*y(s)?\nAnswer: -16*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = 31*v - 2, k - 9 = 4*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2103882 and -0.02?\nAnswer: 42077.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 539?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((3*(sqrt(539) + 1) - sqrt(539))**2 - ((((sqrt(99) - sqrt(99)*1 - sqrt(99))\/sqrt(9))**2 - sqrt(11)) + 5)) + 2).\nAnswer: -4302 - 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 236\/93, -3 in ascending order.\nAnswer: -3, 236\/93, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7593 + 7663. Suppose 0 = -4*a + 152 - 40. What is the highest common divisor of a and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 57*p**2 + 5*p - 282. Let t be s(57). Sort -2, -19, t, -7 in increasing order.\nAnswer: -19, -7, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -22*t + 17. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-32)\/(-12) - 3). Let s be 20\/15*6\/(-10). Which is the second smallest value? (a) 3 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74233 or 74209?\nAnswer: 74209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*h + 20, -3*c - 32 = 2*h + 3*h. Let p be (c + 54*1)*660. What is p rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -13 + (8 - (-6 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45598, -91129, -136588, -181975?\nAnswer: -227290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 2507807?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -324*-0.2\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12455810 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3988404 millennia in centuries?\nAnswer: 3.988404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 139*w - 3610. Calculate r(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*z - 47805 + 47805.\nAnswer: -128*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12862 + -12861. Put -5, 4, f in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 25. Let v be p(6). Suppose 8*m - v*m - 17 = 0. Do m and 17 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 3794?\nAnswer: 18970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2704*a**3 - 829*a - 11445755.\nAnswer: -8112*a**2 - 829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/4)\/b*b))\/((b*b\/b**(-2\/19)*b)\/b*b) assuming b is positive.\nAnswer: b**(-255\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {m: 1, z: 1, r: 2, w: 1, j: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - w = 43, 0*p + 4*w + 60 = 4*p. Let h = p + 20. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(-80)*(36\/10 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560445 divided by 3.\nAnswer: 186815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 8*x**2 + 1. Let l be f(-8). Let g be 2*((-333)\/(-42) + -8). What is the nearest to 1 in g, l, -3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 157 + 234. Let o = -546 + m. Is o > -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 2, b: 3, c: 5}. What is prob of picking 1 n and 3 m?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 35.5. Let y = 31 + x. Let m(h) = -h**3 + 6*h**2 + 3*h - 15. Let g be m(6). Sort y, 0.4, g in decreasing order.\nAnswer: g, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 0*s)*(-3 + 0 + 5) + 4*s - 3*s - 2*s - 20*s - 22 + 22.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*o - 1980, 152*o = -4*p + 149*o + 7920. What are the prime factors of p?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.898 + -113.638. Let b = w + 156. What is b rounded to two decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57a45901 + -5?\nAnswer: -57a45906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0468 (b) 0.0049 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -3*a - 2, 4*a + 31 = -3*i. Let w = i - -8. Factor -s**3 - s**w + s**2 - s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1947)\/(-22))\/3*32 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -954, -26675?\nAnswer: -954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7991 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864 and 224?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204230 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/102 and 6172\/10560 + (-6)\/(-44)?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 73, 112, 151?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 26*k - 19. Let o be f(9). Let w = o - 54. Is 1\/538 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 56 = 24. Let w = 18 - x. Let v(y) = 20*y**3 - 3*y**2 + y - 1. Is v(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 90902*r + 1999880. Calculate h(-22).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/29 in -1\/10, 4, 0.5, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 602 + -597. Let c = 0 - 0.05. Let w = -5.05 - c. What is the second biggest value in 13, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(246\/15 + -12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/30 + 7*u**4\/8 + 5*u**3\/2 - 28*u**2. Let r be l(11). What is the closest to 1 in 3, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 3008.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 - g. Let l = -35 + 35. Suppose -5*p = -l*p + 5. Let q(b) = 7*b**3 + 11*b**2 - b + 4. Let c(r) = p*q(r) + 6*d(r). Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 45878036 - l**2 - 45878036. Let a(y) = -1486*y**2. Determine j(a(x)).\nAnswer: -2208196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9233*m + 9553*m - 13760 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 57*q - 3*q**3 + 1 + 3 + 18*q + 4*q**3 to the form s + c*q + w*q**2 + m*q**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45.6, 4, 0.109, 1\/3 in descending order.\nAnswer: 45.6, 4, 1\/3, 0.109, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92\/69)\/(4\/9). Solve g*q = -10 + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -177561.6.\nAnswer: -532684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 35 = -5*m, -25*m + 29*m - 8 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/2 + 77*u**3\/2 - 476*u**2 + 506*u + 560 = 0.\nAnswer: -35, -2\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/6 + 3*p. Is 7 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1463*w**2 - 33*w + 27. Let v(x) = -5855*x**2 - 134*x + 108. Let q(d) = 9*u(d) - 2*v(d). What is the second derivative of q(t) wrt t?\nAnswer: -2914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144040 - -123203?\nAnswer: -20332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*y + 459 = -231. Solve -y*j - 30 = 5*w, -3*w + 14 - 29 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494958 at least as big as 5494958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.3. Let a = 2 + -2.5. Let g = q + a. What is the nearest to 0 in g, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -14. Let g(y) = 633*y**2 + y - 2. Let z be g(n). Suppose -z = -4*c - 2*b, 5*c + 5*b - 3*b = 791. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 11. Let y = j - -4.4. Let g = 0.5 + y. Is 1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 302*q**3 - 39681*q + 39681*q - 4 to c*q**2 + v + u*q**3 + m*q and give u.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*a = -135 - 812 - 313 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(-26)\/(o**(-3\/4)\/o**(-5\/6)) assuming o is positive.\nAnswer: o**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167 = 279*w - 2855 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.401301 - 43.4. What is i rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 0, -v - 6 = 3*h + 4*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*z - 2, z + 21 = 5*d + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1.8668999717372?\nAnswer: -10.1331000282628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 18.82?\nAnswer: 56.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 1067*v**6\/60 - 957*v**4\/8 - 10*v**2 + 131. What is the second derivative of h(f) wrt f?\nAnswer: 12804*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1, -2, -2816, 43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000100 + -11?\nAnswer: 1001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2247)\/(4\/12*3). Suppose r = 7*x + 320. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2200 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335324 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k. Let z = -51 - -2. Let d = z - -59. Let t(j) = d*j - j - j. What is t(w(b))?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - x = -146, -33*n + 28*n + 240 = 5*x. Which is bigger: 47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.98 and -196.\nAnswer: 584.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 184*m**2 - 1612*m - 128316. Determine j(-179).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735453425 to the nearest integer?\nAnswer: 27119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 32 = 8*i. Solve -8 + i = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*k + 771, 7*j + k + 513 = 9*j. Suppose -j = -3*g + 2*u, -2*g + 159 = -6*u + u. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15973621 < 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -2. Let a(z) = 6*z**3 + 4*z + 6 - 5*z**2 - 5 - 7*z**3 - 4*z**2. What is the remainder when a(c) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.05 - 0.5. Let g = -42075.449886 - -42076. Let z = u - g. What is z rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = s, -5*s - 18 = -n + 5*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2225114 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*t + 218*t + 25327 - 9652 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 + 17*k + 47. Suppose 4*d - 5*d = 0. What is l(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001100 + 101011?\nAnswer: 100001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 + 17299*i\/6.\nAnswer: i*(i + 17299)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -23*g**7\/210 - g**4\/12 + 79*g**3\/6 + 2*g**2 + 37*g. What is the derivative of z(f) wrt f?\nAnswer: -92*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**2\/2 - 1. Let g(n) be the second derivative of -n**3\/2 - 20*n - 1. Calculate g(z(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -121, -132, -143, -154, -165?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2. Let u(n) = -n**2. Let c(m) = 6*h(m) - 14*u(m). Let z(q) = 3*q - 8. Let p(y) = -220*y + 528. Let a(f) = -p(f) - 66*z(f). Give c(a(i)).\nAnswer: 968*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 + 5*w + 4. Calculate the least common multiple of a(-7) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-1 - (4 + -4) - (-5 + 8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -5b5022?\nAnswer: -5b5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y*y**(-1\/6)*y))))\/(y\/y**0))**(-15\/4)*(y**(1\/4)*y**(-5))**(-7\/9) assuming y is positive.\nAnswer: y**(1031\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c + 3. Let p be y(0). Let r(q) be the second derivative of 1\/2*q**2 - 2*q + 0*q**p + 0 + 1\/12*q**4. Differentiate r(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3648, 15124, 34426, 61554, 96508, 139288, 189894?\n\"Answer: 3913*z**2 - 263*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/19 - 12*u - 342.\nAnswer: -2*(u + 57)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/1743)\/(2\/7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**32\/(u**5*u**(-4)) assuming u is positive.\nAnswer: u**191","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6795860*u**2 + 6795860*u**2 - 12*u**3 - 4*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 >= 660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -432799 (base 10) to base 15\nAnswer: -88384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 2. Let s(v) = v**2. Let o be s(2). Let q = -2 + o. Solve -q*g = -g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1500563\/2829882 + 2\/42877. Let g = -1\/33 + o. Let y = -1.8 - -2. Sort y, g, 0.4 in ascending order.\nAnswer: y, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 2. Let l be f(2). Suppose -5*p + 17 - 7 = 0, 2*r - 2*p - 4 = l. Suppose -3*z = -5*z + r. Does 1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 39*q - 15. Let c be i(12). Let o = c - 267. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 0.34. Which is the nearest to -0.1? (a) -3 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.3 - 1406.9?\nAnswer: -1252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7775 is divided by 163?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52825058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -551772797?\nAnswer: -551772797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4681694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r + 4, 4*r - 2 = -2*q. Suppose o - 67 = -4*a, 95 - 14 = o - q*a. Suppose -5*d + 285 = o. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 17, 18, 15?\n\"Answer: -2*j**2 + 11*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 6*w - 8. Let r be c(4). Let h(n) = 83*n + 2. Let d be h(2). Suppose k + 3*k - d = r. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 91686\nAnswer: 5501.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28424316 and 6888.\nAnswer: 397940424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05529472902 plus -0.01?\nAnswer: -0.06529472902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/162 and -77\/2466.\nAnswer: 22194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4\/15923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 24*m = 9. Let a(l) = -l**3 - 3*l**2 + 4*l + 3. Calculate a(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p - 2. Let o be i(-4). Let q = o + 11. What is the greatest common factor of q and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13286)\/(-27) - 4\/54 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*w - 21 + 43 - 22.\nAnswer: 573*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2004411325 to the nearest integer?\nAnswer: 44771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 (base 14) in base 11?\nAnswer: 27a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(72) + sqrt(72)*1 + -5 + -1*-2*(sqrt(72) + 1))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1368\/8723 + 2\/671. What is the nearest to -1 in u, 6, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*j + 720. Suppose -j - 18 = -7*h. What is the greatest common divisor of h and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from yuwkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose -3*p - 3*x - 11 - 73 = 0, -s*p = 5*x + 94. Let u be (p + 1)*3\/6. Is -0.1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -2116?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/2765 + -15772\/19355. What is the common denominator of v and -17 + 10 + 14 - (-3)\/((-294)\/740)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/42*81\/(-63))\/(36\/216).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4749244 millilitres?\nAnswer: 0.0004749244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*d - 17 = -57, 4*n + 5*d = 85. Suppose -2*s = s - n. Suppose -s*b + 56 - 16 = -5*r, 11 = 2*b - r. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**4 + a**4 + 2*a**4)*(1 - 3*a - 1)*(-4 + 4 - 2).\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 139 = 159, 3*y = -c + 3843. List the prime factors of c.\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q - 4. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -18*z. Let d be t(-1). Let i = d - 14. Suppose -100 = -i*l - 4*g, 2*l - 97 = -2*l - 5*g. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*i - 23, 159*k - 5*i + 0*i = -10*k + 1050 - 250 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3 - 3. Suppose -2*l = 4*t - 6, 0 = 3*t - 3*l + 5 + 4. Suppose 5*x + 0*x - 5 = 5*b, t = 5*b + 2*x - 2. Solve g*m - m + 25 = b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59138104 divided by 8?\nAnswer: 7392263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*d - 84 - 135 + 72. Solve -64 = -d*x + 19*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 81, 119, 157?\n\"Answer: 38*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34130 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: Round 0.01576 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 49*q**2 - 29*q**3 + 326*q**2 + 3*q + 64*q**3 = 0. Calculate q.\nAnswer: -11, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 299847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r)\/((r**5\/r)\/r)*r\/r**(-2\/3)*r**(2\/15) assuming r is positive.\nAnswer: r**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2767, -22715, -76871, -182341, -356231, -615647, -977695?\n\"Answer: -2851*m**3 + 2*m**2 + 3*m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 494, 755, 1020, 1289, 1562?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f + 6*o - 4*o, 0 = -4*f + 3*o + 12. Suppose 2*x = 5*v + 23, -v - 11 = -2*x - f*v. Solve -5*n - x*p - 9 = 0, 0 = -3*n + 4*p - 32 + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 10*a**4 + a**3 - 16*a**4 + 27*a**2 - 91*a**2 - 35*a**2 + 3*a**4 to d*a + i*a**4 + v*a**2 + g + s*a**3 and give v.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2\/7 (b) 6 (c) -1\/4 (d) 17 (e) 0.036\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 686 and 7?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5 = -6*v. Let z be (v - (0 + 7))\/((-2)\/35). Let s be ((-3)\/(-1))\/(3\/2). Solve s*f - 4*f + 7 = q, 4*f - z = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, 1424.2, -4, 5, -1.5, 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 18. Let f be v(-7). Solve -5*t - f = 4*w, 5 = -2*w - 5*t - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - 5*g - 3. Let i be a(-5). Suppose 4*x - 5*x + i = 0. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/21)\/(18\/63)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 369*z + 4593. Determine u(-12).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 + 1755*s\/4 - 384175\/2.\nAnswer: 5*(s - 254)*(s + 605)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c, -1 = -5*j + c + 5. Let p(o) = o**2 - 4*o. Let t(y) = -2*y**2 + 9*y. Let h(u) = j*t(u) + 5*p(u). Let g be h(3). Solve 0*m + 9 = -g*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/(2\/8). Suppose 4*r = 2*t + 16, -t = r + 1 + u. Solve 4*y + 3*j + 18 = j, -r*j = -y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = n - 2*r - 83, -2*n = -5*r + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1915064 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 5 - (9 - 8). What is the fourth biggest value in a, -5, -4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 6*h - 1. Suppose 0 = -6*q + 4*q + 10. Suppose 5*a + 3*u = 22, 3*a + 4*u = 5 + 17. Let r(v) = -8*v + v - 1 + 0*v + v**a. Give q*r(l) - 6*z(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 6.0492?\nAnswer: 6.0492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (2 + -3 - 4) + (-97 - -101) - 67?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 7*x - 13. Let m be o(-9). Let g = m - 1. What is the closest to -1\/3 in g, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4*u - 4574*s**3*u + 15*s**2*u + 2565*s*u + s + 77*u wrt s.\nAnswer: 24*s**2*u - 27444*s*u + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5\/5 + 14*n**4\/5 + 38*n**3\/5 - 254*n**2\/5 - 228*n\/5 + 1008\/5 = 0.\nAnswer: -3, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005273 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 832.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - t**4 + 1 + 1)*(0 + 1 - 3).\nAnswer: -4*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16.2. Round v to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*u**2*z + 2*j**2*z - 16*j*u**2*z - 1636*j*u*z - 3*j*u - 314*u**2*z wrt u?\nAnswer: 6*j**2*z - 32*j*z - 628*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 46*q - 22. What are the prime factors of c(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/60*h**6 + 0 + 1\/12*h**4 - 2\/105*h**7 + 1\/10*h**5 - 1\/3*h**3 + 2*h**2 + 0*h. Let z(r) = 0. Calculate r.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 850868 divided by 2\nAnswer: 425434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 7\/2*r**2 + 4\/3*r**3 + 29 + 0*r. Is m(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -15. Suppose y = -2*b + b + 85. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 187*f**2 + 6*f + 48. Let o(q) = 571*q**2 + 17*q + 136. Let u(r) = 17*l(r) - 6*o(r). Let h(j) = -32*j. Determine u(h(t)).\nAnswer: -252928*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (4 - 5) - (-57 - -62).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.89 and 741.\nAnswer: 740.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27495 or -6799?\nAnswer: -6799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 8\/5 (c) 0.1 (d) 7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + -64 - -34) + (-10 - -1) - (-36 + 5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 10*n + 7. Let c be j(-9). Let b = c - -5. Suppose -4 - 14 = -b*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 7, g: 3, v: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2071 divide 327242852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-60))\/(2\/(-240)). Suppose y - 156 = -2*r. What is the greatest common factor of r and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2544859\/2732 - 1863\/2. Let l = q + -17763\/13660. Find the common denominator of 103\/18 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456.741 + -457. What is j rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/54 and -137\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 + 189 + 184 + 183 - 746 + 12*s**2.\nAnswer: 12*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143\/9 - -16. Let p(w) be the second derivative of 1\/18*w**4 - v*w**3 - 1\/3*w**2 - 2*w + 1\/30*w**5 + 0. Solve p(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 - 43*d**3 + 211764*d**2 - 140656176*d wrt d.\nAnswer: -40*d**3 - 258*d + 423528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 40 + -47?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6373777 and 6373740 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 7*k + 34. Let u be g(-10). Let n(h) = -h + 5. Let o be n(3). Factor 4*d**3 - u*d**3 - 4*d**3 + o*d**3 + d**4.\nAnswer: d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 150880?\nAnswer: 150880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 + 5*j**2 + 7*j + 5. Let k = 3 + 1. Let v(x) be the first derivative of x**4\/4 + 2*x**3\/3 + 3*x**2\/2 + 2*x + 58. Determine k*p(t) - 10*v(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from mmooooommommomomsom?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-4))\/((-9)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218043?\nAnswer: 1218043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5810344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -38*l + 40. What are the prime factors of v(-32)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5632*u + 23*u**2 + 5658*u - 11290*u.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2.2, 9, 81, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -11045, -3, -2, 2\/15 in increasing order.\nAnswer: -11045, -3, -2, 2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114439790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14893 + 16915 = 14*n. What is the highest common factor of n and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12009700 rounded to the nearest 100000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 30 = 2*x. Calculate the remainder when 216 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 209 = x, -2*m + x - 4*x + 211 = 0. Suppose -m = -o - o. Suppose -3*z + 252 - 18 = 0. Calculate the highest common divisor of z and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 276*m**3 - 4*m + 5. List the prime factors of t(1).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 (base 11) in base 12?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 1557654 = -2263475 - 3178864. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 11 + -11 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (4\/(-3))\/(14\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*n**2 + 3 + 0.\nAnswer: -6*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41c25406 - -5?\nAnswer: -41c25401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2951 + 79645\/27. Let z be 2\/16 + 3383628\/(-864). Let d = -3922 - z. What is the common denominator of a and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211 (base 3) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19)**(-3\/10)\/((((p\/(p\/(p*p**(5\/3))))\/p)\/p)\/p*p*p**(7\/2)) assuming p is positive.\nAnswer: p**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 4334824*s**3 + 1174423029252*s**2 - 2348833054048*s + 1174414359616.\nAnswer: 4*(s - 541852)**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*8\/(-52))\/((-20)\/(-30)*234\/338)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 78*p**2. Let d be y(-1). List the prime factors of (-8 - -5) + d\/1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 e, and 1 p when four letters picked without replacement from ipeppse?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5)*(7455\/441 + -17).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 - -3.51. Round w to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313230611.\nAnswer: 41, 7639771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.451 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 4.3. Let x = 2 - 1. Which is the closest to 1? (a) f (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 4*d**4 + 0*d**4 + (5*d**3 + 0*d**3 - 3*d**3)*(34*d - 28*d + 38*d) as s*d + k*d**2 + h*d**4 + y*d**3 + r and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose 7*l = 3*l - 40. Let d = l - -10. Does d = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let o(i) be the second derivative of -i**6\/45 + 4*i**3\/3 + 7*i. Let b(c) be the second derivative of o(c). Give b(p(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 2*b**3 + 4*b**2 + 2*b**2 - b**3 - 3*b + 3*b + (1 - b - 1)*(-2*b**2 + 2*b**2 + b**2) + 0*b**3 + 4*b**3 + 2*b**3.\nAnswer: 2*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 2*u**2 - u + 2 - 2*u**2 - 1. Let n(a) = 3*a - 3. Let k(c) = 3*d(c) + n(c). Let p(z) = -3*z. What is p(k(m))?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-385*a + 889*a - 377*a)*(-2*a + a - a) + (-1 + 2 + 0)*(-4*a + 4*a + a**2).\nAnswer: -253*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (14 + -16 - (0 + 1)). Suppose 4*u + 2*i - b = -348, 0 = u + 2*i + 92. Let l = u + 315. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -167, -1\/6, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. What is the greatest common factor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47121 - 6*s + 47115 + 7*s - 94405.\nAnswer: s - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-274)\/(-7672))\/((-2)\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j + 332. Does 31 divide p(48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16702623*n**2 - 35265008.\nAnswer: 33405246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.788754ml to litres.\nAnswer: 0.000788754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 4*t = -2*j + 23, 3*j + 5*t = -3*t + t - 46 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 232 + 472. Let d = -74 - c. List the prime factors of d\/(-12) + (-1)\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.46 - 0.84. Let h = 7.4 - -1.3. Let m = h + k. Which is the closest to -0.1? (a) 1\/3 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946933135?\nAnswer: 3, 5, 47, 613, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01674024 rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let w(t) be the second derivative of -t**7\/504 - t**4\/4 - 7*t. Let l(q) be the third derivative of w(q). What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1411589 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - a**3 + 0*a**3 + (-2*a**3 + 0*a**3 + a**3)*(3 + 1 - 2) + 4*a**2 + a**3 - 4*a**2 + (3 + 1 - 6)*(2 - 2 + 2*a**3).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45674*o**3 + 69258*o**2?\nAnswer: 274044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/21 - 23*f**6\/15 + 21*f**4\/4 - f**2\/2 + 65*f + 1. Find the third derivative of u(k) wrt k.\nAnswer: -120*k**2 - 1104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9152, 18211, 27246, 36245, 45196, 54087, 62906?\n\"Answer: -2*y**3 + 9073*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760323077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 1*-3*sqrt(500) + sqrt(500) + 0 + sqrt(500) + -2 + -5))**2.\nAnswer: 4500*sqrt(5) + 14525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 8) + -11 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465, -4, 0, -3, -2 in ascending order.\nAnswer: -4, -3, -2, 0, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 + 163*u\/2 + 26569\/4 = 0. Calculate u.\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 4676.904?\nAnswer: 93.53808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8165577118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18238 greater than -18253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 773615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {p: 2, v: 1, j: 2, e: 3, a: 2, r: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19305?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 51372*a - 1794345.\nAnswer: -3*(a - 17089)*(a - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 269780\/2726 + (-1)\/(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1019 - 1085 = -2*z, 9 = -3*z. Let n = 142 + u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -93. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 9. Let y be m(-7). Suppose 0 = 2*x + y*d - 102, 4*x - 5*d = -0*d + 168. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23*b**2. Let n(l) = 15*l + 8*l - 65*l + 18*l + 17*l. Give h(n(r)).\nAnswer: -1127*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1083 * -0.0893.\nAnswer: 96.7119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d + 28312. What is j(-170)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + n = 24, -2*j - j + 5 = 4*n. Let h = j + -4. Factor 6*s**3 + 4*s**2 + 0*s**h - 2*s - 8*s**3.\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + j + 32, 4*j + 1 = o - 17. Let l(c) be the second derivative of 11*c**3\/6 - 7*c**2 + 43*c + 1. What are the prime factors of l(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**2 + q + 4. Let k(b) = -18*b**2 + 2*b + 4. Calculate 3*c(p) - 2*k(p).\nAnswer: -12*p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 492 + 505 - 2056*i + 670*i wrt i?\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2927 + 2945. Solve -39*q = -33*q - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2365.6?\nAnswer: 709.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 4*h**2 - 5. Let n(l) = -l**2 + 4*l + 1. Let z be n(5). Calculate p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272266 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 23*m**2 - m - 46. Let z(w) = w**3 - 11*w**2 + w + 23. Let r(o) = 3*c(o) + 7*z(o). Let u be r(7). Put -4, u, -3, 4 in ascending order.\nAnswer: -4, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 + 303.61. Let u = -1.59 - d. What is the second biggest value in u, 0.04, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -342.3464 and -0.4.\nAnswer: -342.7464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000391478 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/57 (c) 7 (d) 2 (e) 4 (f) -50 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477314 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -597, -826, -1003, -1128, -1201?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 - 5*v**4 + 6*v**4)*(0 + 0 + 20 + (0 + 1 + 1)*(2 - 3 + 0) + 1 + 0 + 2)*(2 - 3 - 1).\nAnswer: -42*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826.44 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39089, 39101, 39121, 39149?\n\"Answer: 4*j**2 + 39085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*d - 180*d - 165*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -26*h**3 - 6*h - 2. Let m(x) = x. Let t(u) = 4*m(u) + z(u). Let v be t(-1). Is v at least 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 3352499?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 464 divided by 4\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 135334?\nAnswer: -135333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-57) + (-57750)\/444125\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -24971975897.1?\nAnswer: 24971975901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*a + 59 + 157, -2*a + 2 = 0. Let h = f - -223. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 2.2. Let z = 1386266\/45 + -30803. Let p = z + -28\/9. What is the nearest to k in -0.5, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.1, 0.75, 1\/4?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79 and -12587450?\nAnswer: 12587371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*y**3 + 728*a**2*y + a**2 + 6*a*y + 36069*y**5 + 47*y wrt y?\nAnswer: -12*a**2*y + 721380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2. Let q(x) = x - 101. Give q(n(b)).\nAnswer: -2*b**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/36 and 2 + 29 - (-1)\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2. Let n(d) = d + 1. Let j(k) = -k + 6. Let w(z) = -j(z) + 4*n(z). What is w(c(q))?\nAnswer: -5*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 618, 5, 4 in increasing order.\nAnswer: -9, 4, 5, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c - 45. Suppose -3*r - 26 = -r. Let j = c - r. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*a**3 - 792*a + 276*a**3 + 68*a**2 + 776*a - 14*a**4 = 0.\nAnswer: -4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-8 - -39 - 84)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 4*a - 4. Let g = -61 - -35. Let f = g + 33. Let l(w) = -7*w**3 + 3 - 3 + 7*w - 7 + f*w**2 + 8*w**3. Give 4*l(b) - 7*m(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308729 and 11?\nAnswer: 3396019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 611.52728 to 1 dp.\nAnswer: 611.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(5\/4))**(-37))**(1\/27) assuming q is positive.\nAnswer: q**(-37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 3*h**2 - h + 0*h**2 - 2*h**2 - 3*h**2 + (1 + 0 + 1)*(-2*h**2 + 3*h**2 - 2*h**2) + 4 + h**2 - 2 - 1.\nAnswer: -3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.013 + 0.0129995063. What is o rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3777.\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 39.9876. What is j rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/((-198)\/121)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 249469415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/40*z**5 + 0*z - 1\/2*z**3 + 0 + 1\/16*z**4 - z**2. What is n in f(n) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) 0.5 (b) 0.1 (c) 0 (d) -165 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5480578 and 1263.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*8\/16. Let i = -18 - -17.8. Which is the smallest value? (a) 5 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (10 - (-11 + (40 - 16))) - -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1\/6, -1.6, -0.869.\nAnswer: -1.6, -0.869, -0.8, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18614802889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.02689\nAnswer: -0.005378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, g: 1, j: 2, h: 1, a: 1}. Give prob of sequence jnoa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135754, 271513, 407286, 543079, 678898?\n\"Answer: w**3 + w**2 + 135749*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2504717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 + 15476332 - 7739013 - 7737319.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 6970.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -732*b**3 + 3653*b**2 + 41*b - 32. Determine n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 1 + 2*o**2 + 0)*(3*o**3 + o**3 + o**3).\nAnswer: 15*o**5 + 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21 (b) -1\/5 (c) 32 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124, -445, -980, -1729, -2692, -3869?\n\"Answer: -107*n**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432) - (sqrt(12) + (sqrt(12) - (sqrt(12) - -2*sqrt(768)))))\/((sqrt(28) + sqrt(28)*-1)\/sqrt(7) - (sqrt(4) - sqrt(28)\/(-1*sqrt(7)) - sqrt(4))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 2\/105?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 - 247*l**4 + 1902*l**3 + 2398*l**2 - 1903*l - 2151 = 0. Calculate l.\nAnswer: -1, 1, 9, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129 and 86.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1233 + -1222. Solve 6*b + d - 29 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 70*d + 122878 = 0. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10540?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 86*j**2 - 86*j + 16. Calculate r(-87).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -13. Differentiate -g**3 + 0 - 1 + 1 + q wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1750009*k**2 - 7496*k**3 + 14861*k**3 - 1750009*k**2 - 7366*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -1497078?\nAnswer: -1497081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5603\/1555 - 1\/311. Let h = -6 - -9. Suppose 0 = v - 3*v - 3*y + 3, -5*y + 4 = h*v. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19744900 to the nearest one hundred thousand.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169711, -679171, -1528383, -2717353, -4246087, -6114591, -8322871?\nAnswer: -10870933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4163948.9 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + f. Suppose -5*k = f*m - k - 26, -2*m + 16 = 2*k. Suppose -n - m*n + 28 = 0. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:15 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 7*v - 7. Let r = -26 - -18. Let a = 12 + r. Let q(z) be the first derivative of z**3\/3 + 2*z**2 - 4*z - 1. Calculate a*o(l) - 7*q(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z - 6. Let x be t(-5). Let h(o) = 2*o + 52. Let u be h(-26). Solve u*w = 3*w + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2\/7, 1, -150282\/13.\nAnswer: -150282\/13, 0.08, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*n - 5*n**3 + 590*n + 23.\nAnswer: -5*n**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b0 (base 13) to base 6\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 10, 3, 1\/10 in ascending order.\nAnswer: -22, 1\/10, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*b + 17, -7*b - 2 = -5*b + 4*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x - 36. Let t(k) = 10*k - 28. Let p(u) = 7*a(u) - 9*t(u). Let s be (-6)\/(6\/3) - (-10 - -8). Let q(h) = -h + 1 - 3 + 3. What is s*p(l) - 2*q(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 408\/16 - 3\/2. Let c = z + -20. Solve -2*k = -4*r, 0 = 4*k - 0*r - c*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p**2 - 15*p. Let y(m) = -16*m**2 - 20*m. Let c(i) = 4*j(i) - 3*y(i). Let d(h) = -38*h + 21. Calculate c(d(k)).\nAnswer: 5776*k**2 - 6384*k + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) + 2*sqrt(3645))\/(sqrt(576)*6).\nAnswer: 9*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(28\/8))\/(40\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 1. Let g(c) = 1. Let n(x) = 4*f(x) + 2*g(x). Let k be (-906)\/84 - 87\/406. Let a(j) = 2*j - 3. Give k*a(m) - 6*n(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 228 - 223. Suppose -5263 = -q*p + t, 0 = -t + 2. What is the greatest common divisor of p and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -51414*b - 1542444. Give r(-30).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -3 + (2 - -2) - 17\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1550994 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:34 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*b**2 - 44361*b - 2358040 wrt b?\nAnswer: 56*b - 44361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*g - m - 1, -9 = 2*g + 3*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2504)\/(-24) + (-4)\/3. Let f be (8\/(-6) + 2)\/((-10)\/(-45)). What are the prime factors of d + -5 + f + (2 - -4)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19087, -19367, -19839, -20503, -21359, -22407, -23647?\nAnswer: -25079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021222001 (base 3) to base 14.\nAnswer: -29da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48046, 96099, 144158, 192223?\n\"Answer: 3*u**2 + 48044*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-1\/30)\/d)*(d**(-1)\/d)\/d*d assuming d is positive.\nAnswer: d**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l*l**(-1\/3)*(l**(2\/5)\/l)**(-21\/4))**(-35\/2) assuming l is positive.\nAnswer: l**(-959\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000147791 rounded to 6 decimal places?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 y, and 1 k when four letters picked without replacement from {r: 3, k: 3, y: 2}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/2139 - (-1159376)\/(-10416)) + (-4 - (-120)\/28)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*j = -6, 2*p + 11*j - 15*j = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 18*l - 18. Suppose -3*i + 12 = -45. Let s be o(i). Which is the fourth smallest value? (a) -5 (b) 0 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 2*v = 5, -11 = 5*j - 3*v. Let r be (-1)\/(-3) + j\/3. Solve 0*m - 5*m = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3 - 51. Let h(o) = 3*o**2 + 1. Let m be h(1). What is the remainder when v is divided by (-84)\/18*(-6)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (155559\/2)\/(-3)*5\/(130\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2814346 centuries to months.\nAnswer: 337.72152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 - 11*v**2 + v - 7*v)*(-926*v**2 - 41*v**3 + 926*v**2).\nAnswer: 123*v**5 + 246*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 18*z**2 - 23*z - 65. Let t be p(-19). What is the third smallest value in t, -4, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 4. Let f be s(-7). Let t be (-2)\/(-4)*(f + 7). Let q = -5.06 + 0.06. Put t, q, 0.3 in decreasing order.\nAnswer: 0.3, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4085743\/5 or -817150?\nAnswer: -4085743\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4449, 4493, 4535, 4575, 4613?\n\"Answer: -d**2 + 47*d + 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 1. Let s be v(5). Suppose 0 = 3*m - m - s. What is the smallest common multiple of 11 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*(-20)\/(-1250)*(-3)\/((-24)\/(-130))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(9)\/(sqrt(192) - (sqrt(192) - (sqrt(192) - ((sqrt(192) - sqrt(192)*-2) + sqrt(192))))) + -5)*-3*5)**2.\nAnswer: 1875*sqrt(3)\/4 + 361875\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from tnndtdqunttnnnnt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 0*i**2 + (-8*i + 8*i - 4*i**2)*(-6 + 4 + 1))*(-i**2 + 1 - 1).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4007 times 4?\nAnswer: 13.6028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*y = -4*y - 163, 0 = -2*w + 4*y + 64. Calculate the remainder when 83 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {r: 1, l: 5, i: 1, y: 3, d: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9634 + -3.9634. What is the nearest to -0.66 in -2\/7, 1\/7, q, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-12)\/(-5))\/(34\/(-570)). Let h = -7673\/170 - j. Let b = -5703\/2224 + 35\/139. Calculate the common denominator of b and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7633 + 7642. What is the greatest common factor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000110101011101010 (base 2) in base 8?\nAnswer: 4065352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277266 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/7 + 340*d**2\/7 - 1424*d\/7.\nAnswer: 4*d*(d - 4)*(d + 89)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1096 - -188.1096. Let k = 193 - s. Let u = 5 - 5.4. What is the third biggest value in 2, u, k, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(99)\/sqrt(9) + -1 + -5 + -1)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*f - 4*r, -4*f = -r - 4 + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaabqabq. What is prob of picking 2 b and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:20 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10) + 0\/3.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5)*t)\/(t**(-9)*t))\/((t*(t**(-1\/6)\/t*t)\/t)\/(t**1\/t)) assuming t is positive.\nAnswer: t**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40945?\nAnswer: 5, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 3*g + 2. Let x(a) = 23*a**2 + 5*a + 30. Let y(o) = -18*c(o) + 2*x(o). Factor y(q).\nAnswer: 2*(q + 6)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27583033 or 27583032?\nAnswer: 27583032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-17)*b**(-5)\/(b\/((b**1\/b*b*b)\/b*b*b)*b) assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Let y = 0.13 - 5.93. Let q = y + 5.6. Which is the biggest value? (a) q (b) -5 (c) t (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -335 - -602. Let v = -265 + p. Let o = -3 - -3.3. What is the closest to -1\/4 in o, v, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4860897*f*m*o - 224*f*m - 429*f + 2*m + 2 wrt o?\nAnswer: -4860897*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3373600 or 1\/11?\nAnswer: 3373600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(11) + 3) + -3)**2.\nAnswer: 12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 10) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f - 18. Let a be 30\/f + (-6)\/21. Suppose 4*c + 0*i + 3*i = 28, -3*c - a*i + 21 = 0. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289587073979095*f**2 - 289587073979089*f**2 + 2 - 2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5449, 5692, 6093, 6652, 7369, 8244?\nAnswer: 9277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102011 (base 3) in base 13?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 30\/(-10)) + 9792 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 + 36*q**2 + 11*q**2)*(0*q + 1 + 2*q + 1) to c*q**2 + x + w*q**3 + o*q and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(210)*-2)\/sqrt(5))\/((sqrt(294) - (sqrt(294)*1 + sqrt(294))) + sqrt(294) - sqrt(6)))**2.\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 135 and 136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)*u)**(8\/7)\/(u**(2\/13)*u**(-1\/10)) assuming u is positive.\nAnswer: u**(4857\/6370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-248)\/14 + 4\/(-14). Let h be 4\/c - (-148)\/18. Suppose -4*x - 4*g = -x + 3, -4*x - 4*g = 0. Solve -5*z = -x*z - h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104367226739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/90688 and -15\/160448?\nAnswer: 2085824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56\/171 - -1\/171. Suppose -2*r + 7 = 3. Factor g*q - 1\/3*q**r + 0.\nAnswer: -q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-49)\/(-7))\/28 - (-20282)\/(-8). Let w = 4035 + b. What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87332392 divided by 188.\nAnswer: -464534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + 7228111628229?\nAnswer: 7228111628227.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/670 and -121\/10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23209 by -6.\nAnswer: -23209\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.01 - 67. Which is the third biggest value? (a) 3 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*t = 104*t - 903 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-141)\/(-12))\/((-13)\/(-156)). What is the smallest common multiple of l\/5 - 7\/35 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and 961285870431?\nAnswer: 961285870430.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 19.32277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -100. Solve -4*k + 2*q = -2, q + v = -k - 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2. Let b be k(2). Suppose r + b*r = 3. What is the derivative of 0*h**4 + r - h**4 + 0 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9 - 9. Let l = 12 + n. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a1 (base 16) to base 10\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -658 (base 11) to base 9\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvk when three letters picked without replacement from {v: 5, s: 5, k: 6, e: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826453 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + k - 2. Let u(s) = -6*s**2 - 1. Let p(i) = 4*u(i) - 5*z(i). Let d be p(4). Differentiate 1 + 7*y**d - 4*y**2 + 4 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 37. Let h = 7 - 4. Let w = 0.001696 + -5.001696. Which is the third smallest value? (a) w (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17225, 34481, 51765, 69077, 86417, 103785?\nAnswer: 121181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + -16931200.\nAnswer: -16931198.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*h + 0*h**2 - 2*h**2 + 80*h to the form l*h + g*h**2 + w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38560, -77126, -115696, -154270, -192848?\nAnswer: -231430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 12, 3*r - 7*r = 4*t - 1244. Let p = -216 + r. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 24\/283?\nAnswer: 24\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*b - 4 = 0. Let t be 11\/(-6) - 1\/6. Sort t, b, -4, 3 in descending order.\nAnswer: 3, b, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14914, -14900, -14884, -14866, -14846, -14824, -14800?\n\"Answer: b**2 + 11*b - 14926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3*i + 5)*((i - 8 + 8)*(19*i - 19*i + 61*i) - 2 - i**2 + 2) in the form q*i**3 + w + f*i + o*i**2 and give q.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 43*u**2 + 4*u - 6. Is n(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4807, 5015, 5225, 5437?\n\"Answer: z**2 + 205*z + 4601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f + 2. What is s(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -394551, -394475, -394409, -394359, -394331, -394331, -394365, -394439?\n\"Answer: -x**3 + x**2 + 80*x - 394631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28617, 57207, 85739, 114183, 142509, 170687?\nAnswer: 198687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)*(-2 + 2). Suppose 0 = -5*l + 7*l - 66. Suppose 2*s - s - l = z. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17050 and 37510?\nAnswer: 187550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b - 1. Let m(n) = n**3 - n**2 + n + 1. Let h be m(0). Let v(d) = -4*d**2 - 9*d + 5. Let s(p) = h*v(p) + 3*y(p). Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10614 divided by -2\nAnswer: -5307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 + q + 6. Let j be o(-3). Suppose 5*k = -w + 2319995, 2*w + 464025 = k - j*w. Round k to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2028757534 - -1?\nAnswer: -2028757533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14843310 divided by 15?\nAnswer: 989554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 806577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215444 - -3?\nAnswer: -215441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 4*o**2 - 32*o + 13. Is z(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/140 - -2\/35. Let m = 15 - 14.568. Let k = -0.068 - m. What is the fourth biggest value in k, 1\/2, -0.2, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1001110100110110?\nAnswer: 1001110100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3087, -6308, -9691, -13236, -16943?\n\"Answer: -81*g**2 - 2978*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 9954 = -7308 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -211435 divided by -360?\nAnswer: 42287\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 6. Suppose 5*l - 2*j - 2*j - 15 = 0, -2*j = 0. Suppose -z + 8 = l*z + 4*s, -2 = 5*z - s. Solve 0 = 4*q - z*g - g - v, 0 = g - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 1, r: 4, u: 3, m: 1, i: 2}. What is prob of sequence utmq?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38733200 and 8800.\nAnswer: 77466400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*t - 10 - 18, 4*t - 19 = -y. Suppose 5*o = -t*b + 280, 0 = -4*b + o + 202 + 32. Is b\/(-145) + (-1)\/(5\/(-92)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 - 10*l**4 + 282 + (-4*l + l + 2*l)*(l**3 + 2*l - 2*l) - 2*l**4 + 0*l**2 + 0*l**2 to s*l**2 + h*l + j + v*l**4 + g*l**3 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (44\/154 + (-69)\/21 - (7 - 4))\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 33 in ascending order.\nAnswer: -12, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1707 + -1685.06. Let r = i + -22. Which is the nearest to 0? (a) -2\/11 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from hhekhihrkh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1146528, 2293032, 3439534, 4586034, 5732532, 6879028?\nAnswer: 8025522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g + 5*g**3 + 23*g - 15*g + 4 - g**2. Let v(h) = -6*h**3 + h**2 + 3*h - 5. What is -5*m(c) - 4*v(c)?\nAnswer: -c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3842229702 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16582284?\nAnswer: 2, 3, 460619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.69 months in centuries?\nAnswer: 0.268075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**5 + 886*k**4 - 20674*k**3 + 43618*k**2 + 94772*k + 29584 = 0. What is k?\nAnswer: -1, -2\/5, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 19*c**2 - 2*c - 9. Let y be s(-17). What is the highest common divisor of 67 and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.78899um in millimeters?\nAnswer: 0.08878899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -72 (c) -68 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 1085002.\nAnswer: 11935022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83953840*h**3 - 167908078*h**3 + 83953957*h**3.\nAnswer: -281*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*n**3 + 7*n**3 - 4*n**3 + (-2*n + 2*n + n)*(0*n**2 + n**2 - 2*n**2) + 66 + n - 66 + 11*n**3 in the form w*n + a + r*n**2 + m*n**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 3}. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/59070 and -89\/11814?\nAnswer: 59070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 131829 and 7.7.\nAnswer: 131836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/15)\/(-6)*(-4)\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -1.2\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12393998.\nAnswer: 2, 6196999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4268 divided by -1?\nAnswer: 4268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + (2*sqrt(77))\/sqrt(11) + sqrt(7) + -1*(0 + sqrt(7)).\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801360 rounded to the nearest ten thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 597?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 + 9*p\/2 + 15.\nAnswer: -(p - 30)*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + t - 2. Let d(r) = -3*r**2 + r - 2. Determine -4*d(i) + 5*n(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 2. Let l be f(3). Let o = 11 + l. Solve o*v + v = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 106 = -5*f. Suppose -c - 18 = -2*c - 3*z, -4*z = 4*c - 56. What is the greatest common factor of f and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - 7 - (2 - (3 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1840, -4045, -6816, -10435, -15184?\n\"Answer: -47*i**3 - i**2 - 1873*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 5, 5*g - 5*r - 1820 = 0. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 6*s - 3. Suppose -2*d = -16 + 28. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 24*l**2 - 26*l + 22. List the prime factors of q(-23).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from gpg?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*o**3 - 11*o + 3*o - 5 + 4*o in the form u + i*o**2 + l*o**3 + f*o and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -466, -1726, -3890, -7012, -11146, -16346?\n\"Answer: -9*k**3 - 398*k**2 - 3*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15. Let a(n) = -4*n + 2. Let x be a(r). Find the third derivative of 11*u**5 - 15*u**5 - 42*u**x + 3*u**5 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5665001 at least as big as -5664999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5455*w**5 - 70855*w**4 + 780*w**3.\nAnswer: -5*w**3*(w + 13)*(1091*w - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119279, 238415, 357551, 476687?\nAnswer: 595823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1156 + -1155.91. What is the fourth biggest value in 0.4, -5, -0.3, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 86\/7 (b) -1.71 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:28 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 2*j**2 + 15*j - 265. Calculate x(8).\nAnswer: 1263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 8}. Give prob of sequence ee.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:13 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at most as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-63)\/1470*4\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 44 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/13 - 4674*s\/13 - 1080 = 0. Calculate s.\nAnswer: -3, 2340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -10. Let p be -1 + x + 1\/1. Suppose 4*l - 8 = s, 3*l - 5*s - 5 = p. Let i(z) = -5*z + 1. Give i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 9*z - 9. Let m be (2\/(-6))\/((-6)\/(-72)). Let i(t) = 3*t**2 - 4*t - 4. Give m*j(b) + 9*i(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)\/b*b*b**(-2))**(4\/5))**(-1\/20) assuming b is positive.\nAnswer: b**(9\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/213 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 26 = -42 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(58820\/(-3633)) - (2 - 6\/8).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 13 - 25 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20503 - -205?\nAnswer: 21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 210 = -2*v, -3*y = 5*v - 0*y - 473. Suppose 3*z + v = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469873 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 80915243?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = 21*i + 57 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4664*q - 5267*q - 6835*q + 1563*q + 1788*q in the form t + n*q and give n.\nAnswer: -13415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -1. Suppose 5*g = 2*f - 85, -4*g = -6*g - 2. Suppose -2*c - 5*k + f = 3*c, -5*c - 4*k = -43. Calculate the least common multiple of o and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 5 (c) 1 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7 + 164 + 2*d**2 + 236*d - 7 - 150. Let w(x) = -x. Calculate z(w(f)).\nAnswer: 2*f**2 - 236*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**3 + b**2 - 2*b + 1. Let m be (-2*(-1 + 0))\/2. Let j be z(m). Let l = 11 - j. Solve 0 = l*v + 3 + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, r: 1, s: 1, c: 1, h: 2}. Give prob of sequence clm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = 4*r - 253. Let x(h) = -266*h - r*h + 0 + 7 + 5. Let n be x(8). What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2196 by -4.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1538 - 74*y**4 + 510 - 76*y**4 - 2046*y**2 - 128*y + 148*y**4 + 128*y**3 = 0.\nAnswer: -1, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6673 * -535.\nAnswer: -3570055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1176530)\/(-50) + 13 + (-6)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 61 - -21) + -44 + 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.07032 seconds?\nAnswer: 70320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*g + 4, 0 = -x - 2*x + 4*g + 25. Let m(a) = a - 5. Let u be m(5). Suppose u*f + 3*f - 6 = 0. Solve x*t = f*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 38, 5, 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*c**2 + 2*c - 8.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12230011 (base 4) in base 9?\nAnswer: -41521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 342*d - 493. What is the thousands digit of c(97)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-4) - 2)\/3. Let t = -34.005 + 34. Let s = t - -0.505. Is s greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636 is divided by 323?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 13610*l**3 + 358425*l**2 - 14701500*l - 400207500 = 0 for l.\nAnswer: -2695, -30, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 1 + 0 - 0. Suppose 25 = a*f + 7. Suppose -4*o = -5*y - 13, f*o - 4*y - 10 = -0. Is o at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687 is divided by 95.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29691 by 29691.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*((3*a - 4*a + 0*a)*(-2*a - 4*a + 4*a) + 3 + 7*a**2 - 1 - 5*a**2 + 15*a - 15*a + 10*a**2).\nAnswer: 28*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472465140 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 408, 456, 504, 552?\n\"Answer: 48*u + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {g: 2, p: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, -2, -46\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -293, -95, 103, 301?\n\"Answer: 198*k - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 35*c**3 - 835*c**2 + 3970*c + 4915. Let g(f) = 5*f**3 - 120*f**2 + 567*f + 702. Let v(h) = -2*b(h) + 15*g(h). Factor v(x).\nAnswer: 5*(x - 20)*(x - 7)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (-51 - -1) + -30 + -2 + 17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218104 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001001100 - -11100?\nAnswer: 10011001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 16. What is the least common multiple of 8 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 - w + 2. Let a be k(-2). Let f be 1\/a + 26\/8. Let n(h) = 3*h**2 + 3*h - f*h. Let p(v) = -v. What is p(n(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 6722.6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 2. Let u(i) = 5*i + 30. Let l(t) = 2*u(t) + 6*w(t). Let k(b) = 4*b. Give k(l(m)).\nAnswer: -8*m + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5688, 15, 2, -2.1, 0, 1 in ascending order.\nAnswer: -2.1, -1.5688, 0, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*-10*(-1 - 9\/(-6)). Suppose 4*m - 29*c = -32*c + 7, 3*m + 3 = -q*c. Solve m*u + u + 6 = -3*w, -5*w = 3*u - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 1. Let u be k(1). Suppose -u*b - 2*b = 3*b. Solve o + 3*o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - 1.66. Sort 1, -3\/5, o in ascending order.\nAnswer: o, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 149, -10, -856 in decreasing order.\nAnswer: 149, -4, -10, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-4034)\/42357\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*v**3 - 235*v**3 - 469*v**3.\nAnswer: -1002*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(48))**2 - sqrt(3))*5 + 2 + 3 + sqrt(15)\/(sqrt(50)\/sqrt(40)) + -4.\nAnswer: -3*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -206250?\nAnswer: 618750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 162*x + 161.\nAnswer: (x + 1)*(x + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4561 + 0.1561. What is the biggest value in 20, 0.3, a?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Find the second derivative of 2*v**2 - s*v + 0*v + 5*v - 2*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1975489 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 2*y**2 - 3*y - 2. Let k be l(3). Let z be k\/(-9) + 48\/270. Factor -z*x**4 - 2\/5*x**3 + 2\/5*x**5 + 0*x + 2\/5*x**2 + 0.\nAnswer: 2*x**2*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.032, -725, -7, 0.076, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.076, -0.032, -7, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 50395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + -5b91?\nAnswer: -5b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 259143.81 months in centuries?\nAnswer: 215.953175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/3 - n**3\/3 - 7*n**2. Give s(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*l - 8*l + 2*l)*(2*l - l**2 - 2*l) + 4*l**3 - 3*l**2 + 3*l**2 to the form q*l**2 + y + s*l**3 + k*l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2*r**4 + 0*r + (5*r**4 - 15*r**3 - 2*r**4 + 5*r**3)*(4 - 2 - 1) as v + i*r**4 + b*r**2 + j*r**3 + m*r and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 49. Calculate the greatest common factor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.652 + 0.052. Let t = 7 + a. Let l = 2.8 - 3. What is the third biggest value in -4, l, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5409 * -7.5919.\nAnswer: 41064.5871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 3945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 0*z + 3*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-52)*2 - 10\/(-65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2)\/(68\/170). Solve -1 - 19 = y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 + 25 = 3*o, -3*o + 50 = 4*d. Suppose -4*g + 18 = 2*m, g = 4*g + m - 13. What is the highest common factor of o and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50625 minus 11.476?\nAnswer: -10.96975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 1600530?\nAnswer: 46415370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/sqrt(3))\/sqrt(4))**2 - sqrt(49)\/(sqrt(7) - sqrt(700))) + (sqrt(1764)*-2)\/(sqrt(7) - sqrt(21)\/sqrt(3)*-4).\nAnswer: -103*sqrt(7)\/45 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6404 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 6. Let o = 487 + -490. Let u(p) = 5. Determine o*u(g) + 2*t(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 440735 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3031844 and -67\/12?\nAnswer: 9095532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80720699.\nAnswer: 73, 79, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 4.5. Round l to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 229.7 from -0.02.\nAnswer: -229.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2 - 27*p + 15. What is the remainder when 57 is divided by o(21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-25))\/((-1)\/20). Calculate the common denominator of (-153)\/105 - g\/20 and 56\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(330\/6))\/((84\/(-10))\/(-3))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283*-0.528.\nAnswer: 149.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -5*o**2 + 0*o - 1\/6*o**3 + 0 + 19\/24*o**4. Differentiate m(s) wrt s.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 + -0.2. Let p = s + -3.0022. Round p to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4928\/55)\/(4\/30). Find the common denominator of -22\/9 and (-3)\/2*d\/240.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y + 2*y)*(86 + 2*y - 81 - 134)*(2*y**2 - 2*y**2 + 3*y**2) to u + o*y**2 + n*y**3 + g*y + b*y**4 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 t when four letters picked without replacement from {g: 2, y: 1, t: 2, w: 2, d: 2, j: 7}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**4 + 3*d**3 - 6*d**2 + 3*d. Let l(x) = -x**4 - x**3 - x**2 - x. Let j(c) = -3*l(c) - t(c). Find the third derivative of j(b) wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 10, -2 in decreasing order.\nAnswer: 10, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103894607 is divided by 2833.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31318, -62646, -94014, -125446, -156966, -188598, -220366, -252294?\n\"Answer: -4*b**3 + 4*b**2 - 31312*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -133. Suppose w*c = -3*n + 56, -2*c - 6 - 28 = -2*n. Suppose r - 1 - 5 = 0. What is the remainder when n is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m - 5 = 5*a, 3*a + 6 = -4*m. Let t(q) = 189*q**3 + 2*q + 3*q**2 + 4*q**a + 12 - 190*q**3. Is 17 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 84.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2 + 357*y - 356 = 0.\nAnswer: 1, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 4*i**2 + i**2)*(-1792*i + 287*i - 1892*i)*(4*i - 4*i + 2*i) to the form f*i**3 + z*i**2 + a*i**4 + y + b*i and give a.\nAnswer: -20382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 8*s**2)*((0 - 1 + 0)*(s - s + s) + 2*s + 5*s + s).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1308\/39 + -44 + 10?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffh when four letters picked without replacement from {f: 3, h: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.082 from -35.\nAnswer: -34.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -383175 + 2108?\nAnswer: -381067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/12 - 5*x**3\/6 + 2*x**2. Let p be g(-5). Calculate the smallest common multiple of (3 - p) + 0 + 6 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*w - 8*w - 3*b, 26 = 4*w - b for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**3 - 2*s + 1. Suppose -5*u + 6 = 1. Let c be x(u). What is the units digit of ((-50)\/c)\/(8\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(18\/10). Let i = 12037015927\/1680 - 7164890. Let u = 1\/240 - i. Which is the third biggest value? (a) u (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*q - 512 = -152, -4*t + q - 288 = 0. Let v be (-1 - 0)\/((t\/(-16))\/(-9)). Solve m + 2 = -v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, b: 2, k: 1, i: 1, y: 2}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-1 - sqrt(19) - (1*sqrt(2299) + sqrt(2299)).\nAnswer: -24*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uww when three letters picked without replacement from {u: 1, g: 1, r: 3, w: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 25. Suppose i*n + 0*g + 3*g - 37 = 0, -25 = -n - 5*g. Suppose n*p - 3*p = 80. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 + 1. Suppose 2*d + 4*t = -8, -5*d + 2*t + t = -19. Let x(b) = 1. Let h(z) = -3. Let r(y) = h(y) + 4*x(y). Calculate d*r(j) - g(j).\nAnswer: 4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 25*y**2 + 8955*y + 1787. Calculate k(-358).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x + 11. Let d(y) = 5*y + 6. Let m(b) = -7*d(b) + 4*v(b). Let n be m(-5). What is the units digit of n + 3 + (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3140.948244 to 1 dp.\nAnswer: 3140.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3 - 2*c**2 + 20. Let j(f) = f + 1. Let r(g) = 4*j(g) - u(g). Is 10 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(14)*3)\/(-1*sqrt(200)).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose j - 3 = -x, 14 + 10 = y*j + x. Let g = 12 + 8. What is the remainder when g is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/169188 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Factor -1\/3*n**3 - 1\/6*n**4 + 1\/3*n**t - 1\/6 + 1\/6*n**5 + 1\/6*n.\nAnswer: (n - 1)**3*(n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8534 or -8535?\nAnswer: -8535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15*d - 17. Let z be y(13). Suppose 5*p = 2*p + 18. Is 8 a factor of p\/27 - (-70)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43040*h**3 - 2*h + 43945?\nAnswer: 129120*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24688.98 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -297, -526, -835, -1218, -1669, -2182?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -51*a + 1. Let n(z) = 562*z - 11. Let v(m) = -22*k(m) - 2*n(m). Let s(i) = -67*i. Let q(j) = 24320*j. Let d(b) = -6*q(b) - 2176*s(b). Give d(v(p)).\nAnswer: 256*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10*s = 3, 4*i - 2*s = 10. Let c = -4 - -13. Calculate the least common multiple of i and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43362 * 50.\nAnswer: 2168100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33731756*-3.\nAnswer: -101195268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*a - 45*a = 82*a - 960 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from {h: 1, e: 15}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4985*f**4 + 243*f**3*z + 4*f*z + 1699250*z wrt f.\nAnswer: 59820*f**2 + 1458*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84.11567kg?\nAnswer: 84115670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 2*k. Let z be -4 + 4 - (-4)\/(-2). Let s(a) = -a + 4*a**3 + 1 - 6*a + 2*a. Calculate z*s(d) - 5*p(d).\nAnswer: 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 9*h + 19. What is the units digit of n(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -1\/3, 5, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + 2\/(-7) + 5. Let b(n) = n**3 - 43*n + 58. Let a(k) = -2*k**3 + 88*k - 116. Let i(z) = u*b(z) + 2*a(z). Differentiate i(l) with respect to l.\nAnswer: 3*l**2 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let b(s) = -s + 1. Let f(h) = -5*a(h) - 6*b(h). Let c(k) = -8*k + 10. Give 2*c(w) + 18*f(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-98) - 68\/140.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3328?\nAnswer: -1\/3328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 120\/(-54) - 3856\/(-1800). Which is the closest to -1\/4? (a) d (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 5. Let h be c(-11). Let l be (-153 + 6)\/(h\/(-52)). Suppose 474 - l = -4*a. What is the highest common divisor of 25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000151735118 to 7 decimal places.\nAnswer: 0.0001517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 5:17 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 2. Let z be s(-3). Let y = 4 - z. Suppose -3*u - y*k = -54, 3*u + k = -u + 69. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176878 is divided by 176097.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000208751 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 12) to base 7\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -10114266313342?\nAnswer: 10114266313338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -32. Suppose n*k + 4*a = -12, 0*a = 2*k + 5*a + 18. Solve 3 = 2*v - 4*y + k, 3*y + 14 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 18, -1, 4, 0 in increasing order.\nAnswer: -8, -1, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1561, -5175, -10859, -18613?\nAnswer: -28437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = -5*l, 5*g + 600 - 615 = -4*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084550 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646 = 90815*j - 90756*j + 112 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000085631 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-8) + (-26)\/20. Suppose 14 = -3*i - s, i + 0*i = -s - 4. Let a = -7 - i. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g + 6598*g**2 - 14491*g**2 + 5986*g**2 + 244 wrt g?\nAnswer: -3814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24952119800 rounded to the nearest one million?\nAnswer: 24952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 25. Let q be c\/7*(-16 + 2). Suppose q*l - 291 = 5*r, -2*l + 58 = 4*r - 120. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrrnnlrljrrr. Give prob of sequence rll.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 14. Suppose -h + 4*r = 3*h + 12, -r = -5. What is the smallest common multiple of 10 + -1 - x\/(0 + -3) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 999709.7 to the nearest 10000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1557483*a*b*m**3 - a*b*m**2 - 84*a*b*m - 32*a*m**3 - 4*a*m**2 - 2946*a*m + 2*m**3 wrt m.\nAnswer: -9344898*a*b - 192*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 11*c + 768. Suppose 9*y + 5*y + 0*y = 0. What are the prime factors of l(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*7\/(14\/(-27)). Let q = o + -39. Put q, -5, 3 in ascending order.\nAnswer: q, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -74*y + 74*y - 4495*y**2 + 4494*y**2. Let i(c) = 5*c**2 + 198. Give t(i(m)).\nAnswer: -25*m**4 - 1980*m**2 - 39204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*(-9 - -6). Calculate the remainder when (a - -11)\/((-12)\/(-18)) is divided by 1\/((-18)\/(-16) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 6, j: 9}. What is prob of sequence rrr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1100) + -1*sqrt(1100) + 4 + sqrt(1100))*3 + 5*(0 + (sqrt(1100) + 1 - sqrt(1100))))*-4)**2.\nAnswer: 16560*sqrt(11) + 163161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 1642, 3723, 6628, 10351, 14886, 20227, 26368?\nAnswer: 33303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-1 + 30\/12)*(-247)\/114?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 34. Let s be h(-19). Let g be (2\/s)\/(3\/(-306)). Let r = 74 - g. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(364))\/sqrt(7)*6*2 + -3*(sqrt(13) - (1*sqrt(117))\/sqrt(9)) + ((sqrt(429) + 1*sqrt(429) - sqrt(429))\/sqrt(11))\/sqrt(3).\nAnswer: 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 732359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0 - (22 + -6 + 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19899\/268*(-6)\/9 + (-3)\/(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b + 3. Suppose 0 = t + 4*c - 4, 2*t - 30 = 2*c - 12. Suppose -3*w = -t*w + 15. Let s be q(w). Solve 2*m + s*m = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 31*r**2. Let k(j) = j - 4. Let c(o) = 5*o - 14. Suppose 0 = -4*p - z + 8 - 37, 0 = -5*p + 2*z - 33. Let m(a) = p*k(a) + 2*c(a). What is l(m(t))?\nAnswer: 279*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0613 and -285.5?\nAnswer: 17.50115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by 6.\nAnswer: -137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)\/j)\/(j*j**(-1\/5))*j**10\/(j**9\/j) assuming j is positive.\nAnswer: j**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323010111 (base 4) in base 8?\nAnswer: 1730425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + 77*n**2 + 927*n - 1004. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -153. Solve 10*s = j*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - z**3 - 3*z**3)*(0 - 2 + 1)*((-1 - 1 + 1)*(-4*z + 4*z - 2*z) + 4*z - 4*z + z) + 9*z**2 + 11*z**4 - 9*z**2.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - 3 - -1)\/1. Let w be 16\/g + (-16)\/(-24). Which is the second smallest value? (a) 0.2 (b) -0.6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 + -14 - (3 + -2)) + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*s + 16, -5*s = -c - s + 12. Let x(d) = 3*d + 2. Give x(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382763926 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4906572065 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23546890 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -388, -847, -1486?\nAnswer: -2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/5 + 196*c\/5 - 408\/5 = 0. What is c?\nAnswer: -51, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 + 3*c - 3. What is i(2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -3\/8, 5\/54, -4.\nAnswer: -30, -4, -3\/8, 5\/54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2356 (b) 3\/11 (c) 52\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 9:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/300, -2, -1\/4, -10, 3, -0.18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**23\/d)\/d*d))**42\/(d*d\/(d*((d*d**(-3\/16))\/d)\/d)*d*d*d*d*d\/((d\/d**27)\/d)*d) assuming d is positive.\nAnswer: d**(-14675\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 - 7*v + 40. Let z be o(-7). Put z, -4, -2 in decreasing order.\nAnswer: -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from wrreerrreewereerrwew?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/6 - 8\/(-16). Let h(f) = f**2 - f - 1. Let a(n) = 13 + 17 + 12*n**2 + 3*n - 38 + 10. Let w(d) = b*a(d) - 3*h(d). Calculate w(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(684) + sqrt(19))**2.\nAnswer: 56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892767533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000010101100 - 101000001?\nAnswer: 101011111101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 24 = -30698*g + 30699*g, -g + 22 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -0*y - 176. Calculate the greatest common factor of 55 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 70.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 31*x. Let k(a) = 5*a + 2. Calculate y(k(c)).\nAnswer: 155*c + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 + 30458*k**2 + 29799*k wrt k.\nAnswer: -6*k + 60916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -27) + -3 + 2 - (-5 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2\/6 - 275*u\/2 + 11375\/3 = 0.\nAnswer: 35, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/9 (c) 1\/3 (d) -1\/3 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18*v + 46. Let f be m(-3). Let k(y) = -y**3 - 7*y**2 + 12*y + 2. What is k(f)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (468\/91)\/(4\/14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 9. Is (159 - 1) + 0\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11310840 and 90?\nAnswer: 11310840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 1, p: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-13) + 126\/26. Let i(l) = -2*l - 9. Let m be 2\/8 - (4\/20)\/((-8)\/110). Let s(n) = n + 5. Give g*s(v) + m*i(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:28 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*5047\/14994 + (-2)\/(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 154? (a) -2\/17 (b) -144 (c) 1\/8 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 + 170*c**4 - 19*c**2?\nAnswer: -120*c**3 + 4080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26\/51427 + -6093449\/52146978. Find the common denominator of l and 54\/143.\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 h when four letters picked without replacement from {f: 4, h: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236061.\nAnswer: 3, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + 6*r - 1. Let j be b(5). Suppose -4*y - 96 = -j*g, -y - 1 = -0*y. Let w = g - 12. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129478 and 113242.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y - 5. Let z(v) = v**2 - 7*v - 9. What is 7*t(m) - 4*z(m)?\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4308 - -4306. Suppose -2 - 2 = -2*x. Let j be (0\/x)\/(-2 - -4). Sort j, -4, s in descending order.\nAnswer: j, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*q = 71*q + 22752. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246628*p - 1118226*p + 215119*p - 5298843*p.\nAnswer: -5955322*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -440, -314, -32, 412, 1024, 1810, 2776, 3928?\n\"Answer: b**3 + 72*b**2 - 97*b - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 2112, 4786, 8530, 13344, 19228?\nAnswer: 26182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 18270.\nAnswer: 200970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 136. Let s be n(22). Let x = s + 117. Solve -x*h - 2*k = -8, -3*k + 12 + 0 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*w - 0*w - 17, 0 = 3*h + 3*w - 15. Suppose -2*r - h = -16. Let b(y) = y**3 - 7*y**2 + 3*y - 2. What is the units digit of b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*v - 855*v - 8 = q, 0 = -4*q + 4*v - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51.3 and 0.46.\nAnswer: -23.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -93, -87, -79, -69, -57?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*v - 25 = 0, -4 = n + 1087*v - 544*v - 541*v - 4 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*c - 284, -5*c + 605 - 35 = 2*t. What is the least common multiple of t and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose 4*a - m*o - 2 = 90, 5*a - 3*o = 111. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -66*y - 1112. What is i(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 4:00 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -120, -185, -250, -315, -380?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 4*f**5\/35 - 13*f**4\/7 + 44*f**3\/7 + 22*f**2 - 56*f + 532. Solve w(r) = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 16 = -86. Solve -w = -5*q - r, q + 4 = -4*w - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3 + 12116*r + 1139304 with respect to r.\nAnswer: -9*r**2 + 12116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158798*g**2 - 18*g**3 + 14*g**3 + 0 + 2.\nAnswer: -4*g**3 + 158798*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -26*j**2 - 2176\/5*j - 2\/5*j**3 - 2048\/5 = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 71*d\/6 + 12.\nAnswer: -(d - 72)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/34 - 44247\/833. Let x be (-2)\/5 + (-258)\/5. Let a = x - g. What is the least common multiple of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14*y - 22 = -13*y, i - 2*y = 5. Calculate the remainder when 152\/6 - (-3)\/(-9) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162)*-2 + 4)**2*4 - ((sqrt(162) + 1)*4 - 6*2*sqrt(162))*-5.\nAnswer: 216*sqrt(2) + 2676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8 = 4*b, 3*y - 26 = -2*y + 4*b. Let p be (y\/4)\/((-4)\/(-48)). Determine a so that 4*a**3 - 12*a - 3*a**4 + 2*a**3 + p*a + 3*a**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8583 - 1.858315137. Round w to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-32) + 17\/(-4). Let x(z) = z**2 + 2*z + 5. What is x(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407063 is divided by 481410.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/(y*y**(-10))*y\/(y\/(y\/((y**12*y)\/y)))*y**7 assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -738, -737, -726, -699, -650, -573, -462, -311?\n\"Answer: k**3 - k**2 - 3*k - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(8 + 7) + 3. Suppose -60*s**4 - 2 + 50*s**4 - 30 - s**5 - 17*s**2 - 40*s**3 - n*s**2 - 80*s = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9352?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2652091 and -2652089 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x - 74. Let r be q(-23). Suppose 5*m + r = 24*m. Calculate the highest common factor of m and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144393, 577574, 1299541, 2310294?\n\"Answer: 144393*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + t. Suppose t = -2*l + l - 7. Let w be l\/2 + 5\/10. Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 + -1 + 0 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 2\/11, -2, 7\/3, 1\/131, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 4*m**2 + 7*m - 27. Let f be y(4). Suppose 7*c - 2*c = 35. Sort f, 3, -3, c in increasing order.\nAnswer: -3, f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)\/o**(-3))\/(o**(-3)\/o*(o\/o**(5\/3))\/o*o) assuming o is positive.\nAnswer: o**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 449 = -5*v, -v + 1 + 78 = -5*a. Suppose -o = 3*r - 267, -r - 5*o + v = -0*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 - -237. Sort -8, -15, z in increasing order.\nAnswer: -15, -8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.02. Let s be 2 + -2 + (-2)\/(-7). Let u = 21.29 + -22.29. Which is the biggest value? (a) o (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 944 + (-35 + 36)*(4 + 1). Calculate the highest common factor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 2405 = 113*d for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 19. Which is the nearest to 1? (a) -1 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 4, -5, 1\/6, 107?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512821152 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 3, 5\/2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68875 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -80. Let f = a + 69. What is the second smallest value in -5, -6, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*o*p*y - 2*o*p + 89*o - 9*y wrt p.\nAnswer: -187*o*y - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065375.5 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.9621 and -214785.\nAnswer: -214789.9621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 3. Let j(y) = 2*y - 1. Let l be j(2). Suppose 2*s - s = -l. What is the units digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/40*-4 - (-1)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 4*q = 170020. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7 = -5. What are the prime factors of (54\/j)\/(-3) + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268407 by -6.\nAnswer: 89469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3172 (base 8) to base 3.\nAnswer: 2021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51 - 691*i - 584*i**3 + 8*i**3 - 205*i**3 - 51 wrt i.\nAnswer: -4686*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/88)\/((-16)\/44).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 0, n - 4 = -4*b + 2*n. Solve b = -w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 100121221?\nAnswer: 100122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 828241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 at least -789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 47 = l - 4*z, 4*l - 468 = z. Solve -4*t - l = 25*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 1. What is the units digit of 6\/w*(-11 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 11:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 3*w**2 + 2*w. Let h be m(-1). Suppose h*r = -4*s - 23, 0 = 2*s + r - 6*r + 5. Let t(z) = -z**3 - 4*z**2 + 3*z - 3. What is t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/845 and -92\/477555?\nAnswer: 6208215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.63 + -0.77. Let z = d + 60.4. Let i = -34 + z. What is the nearest to i in 2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 13. Suppose o*f - 352 = f. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 - -5109257.75?\nAnswer: 5109259.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -16*z + 120. Let p(a) = a**2 - 14*a + 52. Let h be p(z). Solve -15 = -h*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 3*a + 4*a)*(2*a - 7*a - 6*a)*(-a + a - a) to h*a**2 + s + t*a**3 + v*a and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 = -3*q, -2*c - 4*q + 51 = 3*c. Let k(s) = 2*s**2 + s**2 + c*s**2 - 2*s**2. Let w(j) = -2*j. Calculate k(w(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52803 by -3.\nAnswer: -17601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4089 and 705?\nAnswer: 20445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 2*(-2 + 0). Suppose -2*z - 84 = -a*w, 5*w + z - 195 = 3*z. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2060642503 - 2?\nAnswer: -2060642505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 57*g**2 - 2 + 2 - 90*g**2 to q*g + d + j*g**2 and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -6116?\nAnswer: -1\/3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694*i = 1686*i - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (10 - 11 - (0 + 1 + -1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 3*f - 4. Find the second derivative of -f*h - 5*h**3 + 89*h + 50*h**3 wrt h.\nAnswer: 270*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2848 + -4 + -4*(-45)\/(-20)*-1. Is j at least as big as -5683\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let m = 0 - u. Let l = 73.7 + -74. Which is the smallest value? (a) 1\/11 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 22. Let g(m) = -2. Let f(b) = 22*g(b) - 2*j(b). Let x(o) be the second derivative of -6*o + 0 + 0*o**2 - 1\/3*o**3. What is f(x(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4659 - 2253925.887.\nAnswer: -2258584.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 577058137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386995 and 650?\nAnswer: 50309350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-5))\/((-17)\/170). Let m = d - 37. Is m < 3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161.77 + -161.87. Which is the third biggest value? (a) 2\/9 (b) 50\/3 (c) y (d) -2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4221*a - 140 = -4201*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n**4 + 1612*n**3 - 14028*n**2 + 3428*n + 9000 = 0. Calculate n.\nAnswer: -2\/3, 1, 9, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = w - 183. Suppose 4*o = 61 + w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z + 18 = 0. Let y be 6\/(-5)*135\/z. Do y and 9 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**10\/120 - q**6\/45 + 11*q**3 + 23. Let a(k) be the third derivative of y(k). Find the third derivative of a(v) wrt v.\nAnswer: -5040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143 - 28 + 39)*(32 + 11*d - 32) as h + b*d and give b.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2720 - 0?\nAnswer: -2720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + ((-660)\/385)\/(3\/21)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-5\/12))**(1\/70)\/(v*v**0*(((v**1\/v)\/v)\/v)\/v*v)**(15\/4) assuming v is positive.\nAnswer: v**(394\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*(-3030)\/(-25)*-1. Suppose 3*p + 2*p - 20 = 0, 0 = 5*n - 5*p - 29265. Let b = n + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-6)\/6)\/((-2)\/4). Suppose -2*i + 42 = -210. List the prime factors of i - ((-4)\/(2 + u) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = -f - 7, -5*f - 5 = 0. Let q be ((7\/2)\/v)\/(1\/(-168)). Suppose 13*z - q = -6. Solve -z*g = -7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from lmiiicisccc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/4200 + 5*o**4\/8 + 36*o**2. Let r(z) be the second derivative of t(z). Factor r(k).\nAnswer: 3*k**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 183 = 4*w + 3*w - 5*y, 5*y = 0. What is the highest common divisor of w and 6527?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**4 - 2*l**4 + 4 + 0 + 5*l**4 wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 - -1251\/7. Let k = 837 + -842. Which is the nearest to r? (a) 3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3. Suppose -6 = 3*o - 7*o + 2*x, -5*o + 4*x + 9 = 0. Let t(s) = 1747*s**3 - 577*s**3 - 588*s**3 - 579*s**3. Give o*k(g) + t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -4938085?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -7e2?\nAnswer: 7e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r**2 - 667*r + 667. Determine w(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q = 41*q + 2*c + 14, 17 = 3*q - 2*c. Suppose -15 - 25 = u. Let b = -7 - u. Calculate the greatest common factor of b and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670952?\nAnswer: 2, 83869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-17 - -4) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5131 - 5120. Let b(z) = -z + 4. Let p be b(0). Find the third derivative of 2*x**4 + 3*x**4 - c*x**2 + 2*x**4 - p*x**2 wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.1, 73?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*w - 3866 = 0, 5*w - 954 = g - 2*g. Let b = -686 + g. Suppose 2*s + 4*f + 4 = b, 2*f = 4. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 2. Suppose 25 = 3*b - 5*a, a - 4*a - 15 = 2*b. Suppose b*z + 4*h = -z - 24, h - 7 = 3*z. What is the units digit of o(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67345109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-16)*16\/140.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 + 132. Let s be p\/(-9)*3\/1. Suppose i = -3*t + 49, -i - s = -2*i - 2*t. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 164?\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**19*b*b*b)\/b)\/b)\/(b\/(b*b**(21\/4))))\/(b**35\/(b*b\/b**(-37))) assuming b is positive.\nAnswer: b**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 3, -73, -221, -465, -829?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 172*k**2 - 2*k - 21. Is r(-3) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 63. Let b = h + 18. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640787437 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 1298*t - t**2 + 0*t**2 - 3*t**4 + 3*t**3 + 1 + 657*t + 642*t to i*t + j*t**2 + a*t**3 + f*t**4 + w and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.86 + 27.54. Let b = s + -29. Let y = b - 0.5. What is the smallest value in 0.4, -13\/3, y?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -23)\/((1\/(-2))\/(3\/(-2))). Let f = 141 + -57. Let m = f + t. Calculate the highest common divisor of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 193.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*x)*((-1 + 3 - 3)*(-12*x - 17*x - 10*x) + 1 - 1 - 2*x) + (-3*x + 2*x + 3*x)*(2*x + 0 + 0).\nAnswer: -70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.31048nm in micrometers?\nAnswer: 0.02831048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.64 and 0.146.\nAnswer: 7.97744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344230 (base 6) to base 10.\nAnswer: -29466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 1128*t**3 - 9196*t**2 + 24288*t - 20880.\nAnswer: 4*(t - 3)**2*(t - 2)*(t + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 5*a - 8, 5*j - 2*a = 62. Suppose -q + 134 + 35 = -3*u, 0 = 2*q + 2*u - 298. What is the highest common divisor of q and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487055?\nAnswer: 5, 497411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 18. Let a be p(-16). Calculate the remainder when 47 is divided by (-64)\/16 + (-22)\/(-4 + a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ejjjezzjee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/895 in 0.5, 1\/5, -3, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49\/2 + -239\/10. Let c be (-8)\/(-20) + (-2)\/80. What is the biggest value in c, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*j**3 + 16*j**2 + 7.\nAnswer: -45*j**2 + 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.408667ml in litres?\nAnswer: 0.004408667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148931\/3 - 49643. What is the common denominator of d and 3 + 3\/(18\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*k - 10, -2 = -4*x - 568*k + 573*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -123630?\nAnswer: 123629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-13)\/(624\/(-112))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10254*q - 25 + 25 - 161*q - 23220*q)*(5 + 0 - 3) to j*q + t and give j.\nAnswer: -67270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 24*d - 142. Let n be x(6). Suppose -2*c - 3*g = 2, -n*c + 4*g = 2 - 14. Solve 2*o + c*m = -12 - 6, -m = -5*o - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 50. What is the greatest common divisor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, p: 7}. Give prob of picking 1 u and 1 p.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 31. Let h be s(5). Put 5, h, 1, 0 in descending order.\nAnswer: 5, 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3 + 3)*(7*g**2 - 8*g + 8*g) - 6*g + 4*g + 22*g**3 + 2*g.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/3)*w*((w\/(w**(2\/11)*w))\/w*w*w*w*w)\/w*w assuming w is positive.\nAnswer: w**(137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/50*(-35)\/14 - 0\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5134 is divided by 4707?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, z: 2, m: 1, g: 3, q: 2}. What is prob of picking 2 i?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -229 and 0.8?\nAnswer: 229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -66 (c) 5 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/9 - -220\/153. Sort r, -3, -4 in ascending order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 1, m: 1, n: 6, t: 3, x: 3}. Give prob of picking 1 w and 3 x.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 192 (b) 2\/9 (c) -2\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*w - 272, 3*t - t = w + 193. Let z = t - 44. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35312 and 42448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let u(c) = 2*c - 5*c + 2*c + 2*c. Let b be u(4). Calculate j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28599450 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12507 - 12503. Let a be 1\/(-2) + (-650)\/(-4). Let l be a\/8 - 2\/8. Solve 0 = 2*j + y*h - l, 3*j - 6*h + 25 = -h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -2433342330?\nAnswer: 2433342340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 0*f**2 - f**2)*(f - 3*f + 0*f)*(-6*f**2 + f**2 + 0*f**2).\nAnswer: 30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17100*v**2 - 144*v + 2028. Let x be z(12). What is x rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 2*i - 4*c - 181, -3*i - c - 5 = 0. Sort -11, i, -22 in increasing order.\nAnswer: -22, -11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:48 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdwwwxddtt. Give prob of sequence wd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2155830 to the nearest 10000.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -1211*j**4\/24 + 8*j**3\/3 + 65*j**2. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 + 2*v - 1. Let n(h) = 14*h**2 + 5*h - 3. Let d(y) = -11*a(y) + 4*n(y). Let m be 0 - 0 - (3 + -6). What is d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j**3 + 0*j**2 + 17*j + 1 - 6*j**3 - 4*j**3 - 3*j**2 to q*j + u + w*j**2 + p*j**3 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + -4.89. Let o = -5.3 - x. What is the nearest to -1 in o, 0.2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - -0.9. Let m be (-2 - -8)\/(1\/(6\/84)). Let x = 0 - 0. Which is the nearest to -2\/9? (a) m (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.02145\nAnswer: -0.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (153\/(-6) - -3)\/(-6). What is the biggest value in -0.4, h, 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02752 - 0.12752. Which is the nearest to -1? (a) 0 (b) -1083 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 312785188546?\nAnswer: 312785188545.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.955216 rounded to three dps?\nAnswer: -0.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121078368 and 2102055?\nAnswer: 605391840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xig when three letters picked without replacement from {v: 1, g: 2, x: 11, i: 2, a: 3}.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*3*(1 + sqrt(176))*1)**2)*-5.\nAnswer: -127465 - 5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose -3*k - 2*o + 308573 = i, 1 = -o + 5. Let h = -56855 + k. Round h to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 - 54*o - 345 = 0.\nAnswer: -5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:04 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 543564162 - -13?\nAnswer: 543564175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 5, -928 in descending order.\nAnswer: 5, 2, 0, -928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - 6*3*sqrt(78)) + (sqrt(78) - sqrt(78)*-2*-5))\/(4*(sqrt(216) + -4*(sqrt(216) - (sqrt(216) - sqrt(216)*3)))))**2.\nAnswer: 2197\/17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 - -141. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 1, 4*w = -5*c - 8 + 25. Let u(j) be the first derivative of j**3\/3 - 1. What are the prime factors of u(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-1)*u))\/u)**(-35)*(u\/u**1)**(-8\/7))**47)**(-25) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-27)*c**(-1\/2)\/(c\/(c*c\/c**(-3\/10)*c)) assuming c is positive.\nAnswer: c**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 5386488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1 + 1 + q**2 - 1006*q + 1016*q. Determine s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12 - 4081*w + 118 + 4086*w. Determine a(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Suppose 5*a = -4*t + 89, -q*a + 0 = -2. Suppose -4*y + t = -3. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**3 - 1143778101 + 1143778101.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -12, -4*b + 6*k - 2*k = 12. Let x(i) = -39*i**3 - 5*i**2. Let w(d) = 136*d**3 + 17*d**2. Determine b*w(l) - 17*x(l).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14\/13 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159485 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6806 + -6807. Which is the biggest value? (a) 325 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -133956*r**2 - 25766400*r - 1239040000.\nAnswer: -4*(183*r + 17600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (14 - (-18 + 49))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i. Let r(d) = -83*d**2 + 49*d. Calculate y(r(w)).\nAnswer: -249*w**2 + 147*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 + d**5\/20 + d**4\/12 + d**3\/3 + 6*d**2. Give h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 4*o - 2*o)*(1 - 1 + 15)*(1115*o**2 - 350*o**2 - 457*o**2) in the form b*o**3 + r + z*o + y*o**2 and give b.\nAnswer: -9240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23151544?\nAnswer: 2, 13, 31, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x + 11\/4*x**4 - 2 + 0*x**2 + 0*x**3. Let h(c) be the second derivative of -c**5\/4 - 13*c. What is -13*h(p) - 6*n(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in -0.7, -7, -0.3, 24, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51\/2*n**2 + 3\/4*n**4 - 48*n + 3\/4*n**3 + 72 = 0.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 9*s - 7. Let n be u(5). Suppose 0 = -i - n + 15. Suppose 2*x - 56999975 = 3*t + 2*t, 4*t + 56999980 = i*x. Round x to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:03 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 + 6578 - 6569 - 40*s - 26*s**3 as l*s + p + t*s**2 + f*s**3 and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -531 - 2?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 980 and 2660?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5255, -10494, -15721, -20930, -26115, -31270, -36389?\nAnswer: -41466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328006848 a multiple of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 3*m**2 - 4*m + 3. Let k be h(-4). Let b = 11 + -7. Find the second derivative of k*z + 2*z**5 - b*z + 3*z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5928 and 38608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/14 and 67\/6612.\nAnswer: 46284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 13. Let g be y(-8). Suppose -g = x - 2*x. Suppose -4*q - m + 55 = 0, -2*m - 3*m = -x*q + 75. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + g - 0 - 2, -4*s - 5*g + 37 = 0. Let i(h) = 0 - 1 + s. Let u(x) = x - 2*x + 0 + 5 + 2*x. What is -5*i(y) + 2*u(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 14 = -5*t, 3 = 4*u + t - 13. Suppose -13 = -u*o - 2*b, -b = 2*o + 2*b - 12. Suppose o = q + 1. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11087299 is divided by 299653.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-one quarters of a millimeter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 2*v. Let m be i(5). Let u = m + -76. Suppose -u*n = -10*n. Let g(b) = -b + 20. Calculate g(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37, 16, -0.12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 11 - (87 + -92))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10386 and -35\/3524.\nAnswer: 18300132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**3 + 311*h**2 + 31*h - 1. Determine c(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 25*g**2 + 91*g - 34. Give a(28).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117693 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16526, -16518, -16508, -16496, -16482, -16466, -16448?\n\"Answer: l**2 + 5*l - 16532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2918 + 4*c - 10527 + c + 2947 + 3139 to the form l + q*c and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1549 + 883. Calculate the highest common divisor of f and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 14*h**2 - 15*h + 18. Determine n(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let j = 0 + t. Let r be (6\/(-8) - -1)*j. Which is smaller: -2\/11 or r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98\/837 + 4\/93. What is the fourth biggest value in -2, m, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 34*u - 7. Let o be g(47). Let s(l) = 102*l**2 - 144*l**2 + o*l**2. Let t(p) = -2*p. Determine t(s(a)).\nAnswer: -1124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d - 4276 = 59*d + 124*d - 20701 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*c**4 + 3*c**2*q**2 + 2*c**2 + 44*q**2 wrt c?\nAnswer: -88*c**3 + 6*c*q**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 + 289. Which is the closest to -4? (a) 5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 (base 6) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5865 is divided by 111?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 2 - (-3)\/(-1). Let c be ((-21)\/(-14))\/((-3)\/h). Is (c\/(-8))\/((-1)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1300) + -5)*-5)**2 + 0)*6.\nAnswer: -60000*sqrt(13) + 795000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((30 - 16) + 6 + -10 + 5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 665*j - 10042. Determine b(15).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8064*k - 153224. Determine o(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/218 and 1\/3.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 8*g - 8. Let t be m(-9). Let j be t*(0 + 3 + -2). Suppose 2*a = -j + 5. Solve -a*u - 3*u - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2943598 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h - 0. Let k(v) be the first derivative of v**2 - v - 1. Let y(f) = -2*f + 1. Calculate h*y(n) - 6*k(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -174, -423, -834, -1449, -2310, -3459?\nAnswer: -4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = 4095417 - 9604331. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 3. Let a be 1\/(-2) - (-50)\/4. What is the units digit of v*3*(-3)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/99*48\/32)\/((-133)\/(-209))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/200200 and -69\/112112?\nAnswer: 2802800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.8 (b) -2 (c) 6 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.6, -3\/7, -24.2, -1\/4, 0.21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s - 2*f - 32, 4*f = 5*s - 31. Sort -3, -7, s in ascending order.\nAnswer: -7, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14892172 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 3 = -19*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p\/p**(2\/3)*p)\/p)*p*p**(2\/7)*p)**(-3\/4))**(-1\/3))**(-1\/40) assuming p is positive.\nAnswer: p**(-41\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 134*h. Let p(i) = -5*i**2 - 397*i - 35. Give p(v(f)).\nAnswer: -89780*f**2 - 53198*f - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 4160 = 7792. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 11*d - 40. Suppose 0*u = b - u - 2, -d*b - 6 = 3*u. Suppose l + 3*z + 16 = 0, b = -l + 2*l - 5*z - 24. Do -3\/23 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 144*x**3 - 149*x**3 + 295*x**3 + (0 + 0 + x - 2*x - 2*x + 2*x + (0 + 3 - 1)*(0 + 2*x + 0))*(3*x**2 + 2*x**2 - 4*x**2) + 2*x**2 - 2*x**2 + 3*x**3.\nAnswer: 8*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8696\/27 - 322. Let v = -0.1 - 0.9. Sort a, 2, v, -2 in descending order.\nAnswer: 2, a, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -27. Suppose -9 = 7*m - 93. Suppose 15*v = 14*v + m. What is the smallest common multiple of z and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140708308 a multiple of 2295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -3*x - 11. What is the tens digit of -1 + x + (17 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*n**2 + 6*n**3 + 303*n**2 + 14*n**3 + 95 + 480*n.\nAnswer: 5*(n + 1)*(n + 19)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28845834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 101*h + 512. Let c be z(5). What is the highest common divisor of 54 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/(((-19)\/(532\/(-490)))\/(-7))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258*o**5 - 637*o.\nAnswer: -5160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 17*l + 7. Suppose -30*o + 23*o + 35 = 0. Let x be k(o). Is x at least 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.1 (c) -2 (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/((-1740)\/36))\/((-93)\/(-1271)).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 + 0.04. Let i = -456 - -465.93. Let y = -10 + i. Which is the second smallest value? (a) l (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:37 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10075800 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*h - 35, 0*p = 4*h - p - 37. Let t = h + -2. Let w be t*(-13 - -3)*-2. What is the greatest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/888*-16 - 10\/(-3). Which is the closest to 0.1? (a) 3\/8 (b) g (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1*(-12)\/1. Let y be 0\/(4\/k*-5). Let c(q) = -3*q**3 + 2*q**2 + q. Let m be c(-1). Solve -w - m - 1 = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*k + 20300 - 20303 + 429*k in the form h + j*k and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -21\/2, 0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33298829, -66597653, -99896477?\n\"Answer: -33298824*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, -9378\/11, -10\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**3 - f + 4*f**2 - 7*f**2 + f**2 + 16*f**3. Let v = -7104 - -7103. What is a(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 - 17 + 3*c**3 + 2*c**2 + 5*c**3)*(3*c + 2*c - 2*c).\nAnswer: 6*c**4 + 6*c**3 - 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 46 = -5*d, 14675*y = -4*d + 14677*y + 38 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86779 and 1705473.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1257, 1267, 1301, 1371, 1489?\n\"Answer: 2*l**3 - 4*l + 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 109. Let f = -45 + s. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 738*j - 262*j + 706*j + 635*j - 74*j to h*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/31017 and -31\/4431.\nAnswer: 31017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**3 + 6*f**2 + 5*f + 7. Let y(n) = -15*n**3 + 11*n**2 + 10*n + 13. Give 6*y(h) - 11*z(h).\nAnswer: -2*h**3 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 77 - 27. What is the greatest common factor of 4 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 7. Let m(u) = u**3 - 2*u**2 - 2*u + 1. Let v be m(o). Let z = v - 4. Which is smaller: z or 4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -142.4, -46 in increasing order.\nAnswer: -142.4, -46, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243) + sqrt(243) + sqrt(243) + 1 - (sqrt(243) + 3 + sqrt(243) + sqrt(243) + 1))*2*-2)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.219 times 1.9?\nAnswer: -0.4161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -y + 3*y. Suppose 2*j + y = 6*j. Suppose 17 - j = x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196*o**4 + 72 - 106*o**4 + o**2 - 105*o**4 with respect to o.\nAnswer: -60*o**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5726 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*z + 2*d + 3*d, -2*z - 18*d - 128 = 0. Which is smaller: z or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/164 and 43\/984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.9 and 198180.\nAnswer: -1169262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1177*v**2 - 79*v - 211. What is the hundreds digit of p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*u - 55628 = 271*u - 509*u - 10543 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 53. Suppose 74 = 4*i - m + s*m, 5*m = -5*i + 90. Solve -2*q + 2*z + z - 7 = 0, 4*q - z = -i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/11)\/((-3850)\/8470)*18\/(-10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = -10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 58184400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*d - 3*q, 2 = -q. Let c be (d + 204\/105)*15. What is the nearest to -2\/3 in -3, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 4 = 9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(95) - (sqrt(95) + (sqrt(95) - (sqrt(95) + sqrt(95)*-1)*1) + sqrt(95)))\/(2*sqrt(5)*5).\nAnswer: -4 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.5, 0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 = 1187*b - 141 - 170 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 3*o**2 - 4*o + 3 - 3*o - 3*o**2. What is m(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 28.4. Let h = -1.8 + 2. Let r = 1.2 - h. Which is the nearest to r? (a) 4 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 3, z: 2, c: 4, r: 6}. What is prob of picking 1 r and 1 v?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 11, z: 1, l: 2, a: 2, o: 1}. What is prob of sequence zals?\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 + 1097. List the prime factors of z.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4680, 0.07, 3, 2, -0.06493?\nAnswer: -4680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*n**2 - 7*n**3 - 107*n + 8*n**2 + 49*n**2 + (-1 + 1 - 1)*(0*n**3 - 3*n**3 + 2*n**3) to a*n**2 + j*n + v + c*n**3 and give j.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7054722\/143 - -49334. Calculate the common denominator of m and -56\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-17 - -5 - -4) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(19\/(57\/6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a - 92. Let x be k(-12). Sort -12, 2, x in decreasing order.\nAnswer: x, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7*g*(g\/(g\/(g\/(g\/g**1))))\/g*(g\/(g\/g**4))\/g**(-1))**(1\/5))**50 assuming g is positive.\nAnswer: g**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(-6))\/(2\/12) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/9 - 47*r**4 - 5387*r**3\/9 - 23465*r**2\/9 - 13000*r\/3 - 20500\/9 = 0 for r.\nAnswer: -410, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 w when four letters picked without replacement from {w: 6, l: 4, q: 4, g: 3}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/72 - 5*a**3\/2 + 91*a**2\/12 - 2*a - 170. Suppose l(q) = 0. Calculate q.\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110144, -440575, -991296, -1762307, -2753608, -3965199?\nAnswer: -5397080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 260\/91*((-9)\/6 - 2). Let r = 20 + -9. Let x be (r\/(-22))\/(1\/20). Is x at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - 949.777463?\nAnswer: -949.717463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-5))\/(d**(1\/3)*d))\/(d**(2\/3))**(8\/11) assuming d is positive.\nAnswer: d**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 122, 183, 246, 311?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Let h(o) = -o**3 + 34*o**2 - 22. Let w(s) = s**3 - 41*s**2 + 25. Let a(g) = -6*h(g) - 5*w(g). Give a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 2262138.\nAnswer: 45242760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-1)\/9*-15. Suppose -n*t + 0*t - 3*c = -160, 4*c = 3*t - 96. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -337, -2542, -8471, -19990, -38965, -67262, -106747, -159286?\n\"Answer: -311*p**3 + 4*p**2 - 40*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r - 465 = -35*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1646 = 17*s - 819. Solve -61 + 21 - 98*t - 440*t**2 - 246*t + 44*t - s*t**3 + 55*t**5 + 120*t**4 - 30*t**2 = 0 for t.\nAnswer: -2, -1, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 2*v**2 - v**2 + 0*v**2 + 2*v**2 + 0*v**2 - 29*v**2 + 2*v**2 + 2*v**2 + (-3*v - 2*v + 3*v)*(-2*v + 0 + 0) to f + a*v + c*v**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/5 - q**4\/3 + 3*q. What is the third derivative of s(k) wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.98. Let r = -2.08 + i. Let c = 1.4 + -1.4. What is the third smallest value in c, r, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 8*v**2 + 27 + (0 + 0 - v)*(-3*v + 6*v - v))*(-4*v**2 - 38 + 38) in the form y*v**4 + d*v + p*v**3 + g*v**2 + a and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 6. Let d be q(5). Suppose 3*f + 4 - d = 0. Suppose u + 42 = 5*i, 0 = -f*i + 2*u + 3*u + 21. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -106. Is t >= 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*m - 8*f - 6, 3 = m - 4*f. Suppose 31 = 5*c - 9. Suppose 2*t - 66 = -2*t - u, c = 4*u. Solve 3*p = j - 2*p + 20, -4*p = -m*j - t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {l: 1, q: 1, t: 1, n: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14944.58l?\nAnswer: 14944580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 3 (b) 1\/9 (c) 254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z - 9. Let y be 6*6*(-8)\/z. Calculate the greatest common divisor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/((-3)\/(-60)). Let u(j) = j - 5. Let m(k) = k**3 + 4*k**2 + 2. What is the remainder when u(z) is divided by m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 4*g. Let c(k) = 7 - 2 - 10*k**2 - 3 - 4*k + 11*k**g. Give c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 + 10*w + 0*w**2 + 1\/84*w**4 + 1\/42*w**3. Factor s(i).\nAnswer: i*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8618*k**4 + 47 - 8620*k**4 - 3*k - 370 + 12*k with respect to k.\nAnswer: -8*k**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3 - 3)*(13 + 11 + 18)*(-2*s**2 + 4*s**2 - 3*s**2 + (13 - 8 + 5)*(-s**2 + s - s) + (-2*s - 2*s + 2*s)*(-1 - s + 1)).\nAnswer: 1134*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -5, 3, -22, -2\/19, 13, 380?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14417*k*x**2 - 227*k*x - 5*k + x wrt x.\nAnswer: -28834*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724478584 to the power of 1\/2, to the nearest integer?\nAnswer: 41527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 22*l - 24 = -24*l, -z + l = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 2. Let r be -3*(-2 - 21\/s). Which is greater: 2\/5 or r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*l**5 + l**3 + 4*l + 181?\nAnswer: -4700*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16732 - 16730. Solve -6\/11*f**h + 4\/11 - 2\/11*f**3 + 2\/11*f + 2\/11*f**4 = 0 for f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2025 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 16*s - 31. Let n(j) = 16*j - 43. Give 10*m(i) - 8*n(i).\nAnswer: 32*i + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2507, 2\/7, 3204\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3 + (-14)\/(-2). Suppose b = -r + 176. Suppose 3*v - r + 36 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3188110.85925 from 5.\nAnswer: -3188105.85925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 26*p + 31. Let v(f) = f**3 + 53*f**2 - 2*f - 79. Let s be v(-53). Let g be c(s). Is 9 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -14 (c) 0.3 (d) 1 (e) -2\/221 (f) -2\/27 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15687777 to four decimal places.\nAnswer: 0.1569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234729289 + 234731303 = 19*v for v.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 117*k**3 + 12*k**2 + 6*k - 4. Let i(z) = 237*z**3 + 27*z**2 + 13*z - 9. Calculate -4*i(x) + 9*q(x).\nAnswer: 105*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Let u be 1 - (-4)\/((-8)\/266). Let r be (-1)\/(-5) - (u\/(-140))\/(-1). Put x, r, -0.1 in decreasing order.\nAnswer: x, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11451 and 89657513.\nAnswer: 268972539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 18*i**2 - 140*i - 373. Calculate b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -34*m - 8. Let h be w(7). Let d be ((-2)\/12 + 11\/(-33))*346. Let f = d - h. What is the remainder when f is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(13) - (sqrt(52))**2) + sqrt(13))) + -1 + (sqrt(39)\/sqrt(3)*-2)**2 + (sqrt(1053) + (sqrt(1053) - sqrt(1053)*-1*2))**2.\nAnswer: -sqrt(13) + 16951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 149*u**3 - 7*u**2 - 3*u - 111. Let l(v) = -150*v**3 + 6*v**2 + 2*v + 111. Let k(j) = -6*c(j) - 7*l(j). What is the second derivative of k(q) wrt q?\nAnswer: 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -190, -286, -392, -514, -658, -830, -1036?\nAnswer: -1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 2 - 5\/(20\/(-416)). Suppose 4*v - b = -97. Solve -3 - v = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47427, 47443, 47461, 47481, 47503, 47527?\n\"Answer: h**2 + 13*h + 47413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j - 15, 12 = -p - 4*j. Solve p = -w - 2*b + 4 - 0, 0 = -5*w - 5*b + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 56, -6\/5, 4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 0, -8, -20?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 19. Calculate u(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 14*y - 12. Let r be g(14). Let i(v) = -v + 12. Let d be i(r). Solve d = -3*h + 4*h - 5*u, 0 = -4*h + 2*u + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 27*a**3 + 320*a**2 + 205*a - 37. Let k(c) = -9*c**3 - 113*c**2 - 69*c + 13. What is 17*k(x) + 6*r(x)?\nAnswer: 9*x**3 - x**2 + 57*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526 - 524. Solve 0*q = -2*s + 4*q + 2, w*s + 10 = -2*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:47 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/3, 50454, 2, -2\/5, 1.2 in decreasing order.\nAnswer: 50454, 2, 1.2, -1\/3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*m - m - 4*m)*(4 - 6 + 0) + 3*m - 13 + 13)*(4*m**3 - 5*m**3 - 3*m**3) in the form d*m + s*m**2 + j + h*m**3 + p*m**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n**3 + 1. Let x be g(-1). Suppose -v - x = -3*v. Let h = 12 - 5. Calculate the remainder when v is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 632 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9588 and 14?\nAnswer: 67116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qri when three letters picked without replacement from {k: 1, z: 1, i: 2, q: 1, r: 1, g: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8 - 9*y + 27*y - 4 + 36*y**2 + 6*y = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)**(3\/29))**(-25)*((v\/v**(2\/3)*v)\/v)**35\/((v\/(v\/(v\/(v\/v**(-6)))))\/((v\/((v\/(v\/v**(1\/4)))\/v))\/v)) assuming v is positive.\nAnswer: v**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 7, 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27016, 27006, 26994, 26980, 26964, 26946?\nAnswer: 26926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-2) - 2\/4. Let n(k) = -k + 13. Let z be n(x). Suppose d + 40 = 5*g - 55, z*d + 15 = 2*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 3. Suppose -5*v = 5*z - 65, -5*z - v + 55 = -30. Let r = 42 - z. Suppose 5*w = w + r. Give s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6987, -14037, -21147, -28317, -35547, -42837?\n\"Answer: -30*a**2 - 6960*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/24*-4 + 5\/10. Find the common denominator of 57*o\/88 - (-3)\/(-4) and 35\/31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -22*x + 32. Which is bigger: x or 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 7.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 2*y - 2. Let l(s) = -2*s. Let d be l(-1). Suppose -5*h = 2*v + v + 1, -2*v + 10 = -d*h. Is t(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 13*m - 48. Calculate n(-13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-12))\/(708\/21240)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than -13428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3773 + -3281. What is the highest common factor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4889.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844201 is divided by 421933.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.02 + -4. Let u = -1.02 + q. Which is the closest to 0.1? (a) -0.1 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1035629*x + x**2 + 1035629*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.2623ml in litres?\nAnswer: 0.9532623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 525546 divided by 29197\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38331 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3736920 and 14013450?\nAnswer: 56053800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + (8 - (3 + -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 1337713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*p + 20*p**3 + 27*p + 2 - 21*p**3 + p**3 + 2*p - 2*p + (-2*p**2 + 6*p**2 - 2*p**2)*(3*p - 4*p + 2*p) - 3 + 3 + p**3.\nAnswer: 3*p**3 + 95*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 1\/6 (c) -1\/9 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -1, 29 in ascending order.\nAnswer: -7, -5, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -233242722 equal to -233242723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 33 = 5. Calculate the lowest common multiple of 133 and x.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*a**2 - 41*a**3 - 74*a**2)*(-a - 2*a + a - 3*a**2).\nAnswer: 123*a**5 + 82*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + u = -6 + 2, -u + 3 = 3*p. Let s be p*((-6)\/(-2) + -5). Which is the closest to 0.1? (a) 5 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024891 to seven dps.\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20867532 divided by 453642.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 51772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1791500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (4 - 5) - (-4 + -1). Solve -v*z - 4 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15960 and 792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -891, 87, 9, -12 in increasing order.\nAnswer: -891, -12, -3, 9, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 1 + (-7 - -13). Suppose -d*q + 59 = 23. Solve 4*y = -q - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a + 4806 = -870 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6177002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -6*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*d - 11 + 11 + (4 - 2 - 1)*(-24 + 5*d + 24))*(2*d**2 - 3*d**2 + 2*d**2).\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000381 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -58?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h = -4*h - 25*h - 490 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, m: 2, g: 1, n: 1}. Give prob of picking 4 f.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 0) + 588 + -568?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 682.\nAnswer: 29\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(12) + 3)**2 - sqrt(3))*-3.\nAnswer: -63 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.241 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 102*a + 2617. Determine k(-20).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82\/11*w + 80\/11 + 2\/11*w**2.\nAnswer: 2*(w - 40)*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61502 and 0.4?\nAnswer: -24600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.04 (c) 0.142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 3349632?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqyqqcyiicqf. What is prob of sequence icyf?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 929 + 145. What are the prime factors of y?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1094 divide 1632767650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 32*d + 66*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.06 (b) -16 (c) 2\/7 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 4\/7 (d) -1\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -263, -5 in descending order.\nAnswer: 3, 1, -5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/81 - 2\/(-9). What is the third smallest value in 3, 3\/5, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 924502184 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 - 11*d + 16. Let u be m(7). Which is bigger: u or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -43312, -5, 2\/23, -4.\nAnswer: -43312, -5, -4, -2, -1, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025353121 (base 6) in base 13?\nAnswer: -2348c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 900*m - 970*m + 8960. Calculate the highest common divisor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 22*c**2 - 54*c + 1983. Calculate the lowest common multiple of 21 and i(22).\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, 10, -7, 101, -46 in increasing order.\nAnswer: -46, -7, -4, 2, 5, 10, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.2. Let l = -0.04 - -5.04. Let t = -132835.8 + 132833.8. Which is the third smallest value? (a) l (b) 2\/3 (c) t (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-450)\/(-12))\/(-15))\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443526657 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) 11\/13 (c) 379 (d) 3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/2, -13, -0.4, -1.91, 0, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26371 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 424*p + 70843. Calculate g(322).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*o = 12, 0*o = -g - 4*o + 20. Find the third derivative of 3*j**6 + j**2 - 4*j**3 - 4*j**2 + g*j**3 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 164 - 21 = 0. What is the remainder when (74\/1)\/(2 + 0) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33878*f**4 + 3412*f**2 + 6*f + 3 wrt f.\nAnswer: 813072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 0 - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -51*p + 65 - 152 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308\/3 - 103. Let m = 1 - 1.05. Let s = 1\/9 - 13\/36. Which is the nearest to 0.1? (a) k (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -41. Suppose -2*o + v - 151 + 78 = 0, o + 54 = 4*v. Let n = f - o. Solve 2*a - 3*r = 21, n*a + 9 - 39 = 3*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3\/6 - 2*b. Let o be x(-6). Let y be ((-44)\/o)\/((-4)\/30). What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65553*b**2 + 73541*b**2 - 7989*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*x**4 - 3657*x**3 + 170*x**2 - 351*x - 167686 wrt x?\nAnswer: 300*x**2 - 21942*x + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191060 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -110*2\/(-36) + 17\/17 - 6. Let 0 + 4\/3*p + 2\/9*p**3 - b*p**2 = 0. Calculate p.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/35*(-282)\/(-7332)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 0*g**3 - 6 + 3 - 5 - g**3 to v*g + w + c*g**2 + f*g**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 6*m**2 + 5*m - 7. Let j be w(-4). Solve 7 = j*o + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1017*m**2 - 12*m + 1 wrt m?\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 409000+2.21\nAnswer: 409002.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -836*n - 5736. What is the remainder when 1499 is divided by z(-7)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)\/(5\/55). Suppose 5*l + 32 = -p*l. Let m(u) = -7*u**2 - 2*u + 2. Let x(z) = 7*z**2 + 2*z - 3. Determine l*x(h) - 3*m(h).\nAnswer: 7*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s + 1. Let h(x) = x**2 + 10*x - 11. Let r be h(-11). Suppose -3*q + 2*w = -q - 6, r = 2*q + 2*w - 2. Determine o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -127*i**4 - 94095*i**3 - 366012*i**2 - 338972*i + 35376 = 0.\nAnswer: -737, -2, 12\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.43 + -0.13. Which is the third biggest value? (a) j (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 2*a - 2. Let b be v(2). Let f = -7 + b. Suppose l + f = 4*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 56*d**2 - 56*d + 37. Determine a(-29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1154 + -1148. Which is the biggest value? (a) z (b) 6\/11 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - (-188 - (-139 + 91))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*((14*(-8)\/8 - -1) + (-132)\/(-3))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.3 + 45.8. Let f = 0.8 - -0.2. What is the nearest to 2\/5 in f, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 10*q + 7 = 0. Differentiate 2*o - 3*o + 4*o - q + 0*o wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4555 - 22762\/5. What is the common denominator of t and -83\/4164?\nAnswer: 20820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10818 + 1 + -2 + 0)\/((-167)\/334)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-30)*2 - 44\/(-20). Let o = -114 + 223. Suppose l*x - 11 = o. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/98915 and 71\/16065.\nAnswer: 317813895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111150370 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(-2)\/(l**4*l*l**(3\/10)))\/(l*l**0*l*l**(-1\/5)\/l)**(1\/66) assuming l is positive.\nAnswer: l**(-1753\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 150. Let r be n(-11). What is the greatest common factor of 405 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389351262.\nAnswer: 2, 1194675631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 14*k**2 + 77*k - 202. Calculate r(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2426*y**2 - 3900*y**2 - 2*y - 4917*y**2 + 2*y to c*y + t*y**2 + o and give t.\nAnswer: -6391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from dbrottt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 35, 54, 65, 68, 63, 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.141262l?\nAnswer: 5141.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 786 - 337. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 + 68 - 3*i**4 - 76 with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 15*k - 11*k - 1339456, 0 = 5*k + 3*t - 1674344. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/47345 and 3\/119755.\nAnswer: 2035835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40276260.\nAnswer: 2, 3, 5, 223757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/70 - r**6\/120 - 3*r**5\/20 - r**4\/8 + r**3\/3 + 5*r**2. Suppose l(d) = 0. What is d?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171525*g**3 - 479936*g**2.\nAnswer: -1029150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 3 + 6*y**2 + 53*y - 1\/3*y**3. Give z(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, e: 1, c: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 14*d - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (4 - 0))*(945\/27 + 67155\/(-1924))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 69\/11 (b) -2\/9 (c) 27564\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k - 3251 + 369 = 0 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What comes next: -282, -281, -280, -279?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10132473*r**3 - 7118*r. Let q(s) = -7118*s**3 - 5*s. Calculate 5*f(d) - 7118*q(d).\nAnswer: 3559*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35507 in 2\/7, 1\/6, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 1. Let x(j) = 3*j**2 + 2*j - 2. Let r(l) = 2*m(l) + x(l). Let f(u) = 3*u. Calculate f(r(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7854*l + 188508. Calculate q(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1324 and 3622.\nAnswer: 2397764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397 (base 12) in base 8?\nAnswer: -4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 147\/14*(-1)\/6*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from nbbnjwnnnwawnnjwnaw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -9562.\nAnswer: -5\/9562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 5\/4 (b) -0.3 (c) 0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -543?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -447, -445, -441, -435?\n\"Answer: z**2 - z - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*i - 3*p, 2*p + 2*p - 8 = 0. Solve -3*z = -q - 6*z + 2, 0 = -4*q + z + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + 7*o + 7. Let h be q(7). Let n = 245 + h. Let g be 110\/n + 4\/14. Are 2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6207996 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 3*t + 0*t + (2 + 14 + 3)*(2*t + 3 - 3).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30063679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5456, -21786, -48988, -87062?\nAnswer: -136008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 181*o + 185*o + 80 = 0, -3*m + o = -29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 2*a + 2*v, 4*a - 4 = -4*v. Put 3, a, 0 in ascending order.\nAnswer: 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 2*y = 6*i + 2164, 3*i - 1623 = -3*y. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4 + -8 + (-4)\/(-2). Let m(f) = 5*f - 2. Let p be m(2). Let g be p\/4 + (8 - 2). Solve n = 2*w + v - g, 5*v = 4*w - 0*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-121)\/44 + (10\/(-8) - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaaak. What is prob of sequence ak?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 3. Suppose 0 = l - 5*y - 31, -2 = -3*l - 2*y + 6. Let u be (42\/(-56))\/(l\/4). Which is the nearest to 0.1? (a) -3 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*m + 40 = 0, 13 = v + 3*v + 5*m. Let u = -1 + v. What is the units digit of (60\/(-9))\/(-5)*531\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 - 78. Let k be (u\/(-5) + 1)\/(6\/(-150)). Is 3*k\/15 + 98 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -3, 0, 3, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*c + 6222 = 9*c. Calculate the greatest common divisor of 3904 and c.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 220 - 12. Suppose -a - 20 = -s + 4*v, -5*s = -2*v - 302. What is the remainder when s is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30\/2401 = -13032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/23 less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j - j - 18*j + 1184 - 6*j. Calculate g(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*y + 12, -4*y + 4 - 14 = -2*i. Solve 0 = i*t + t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 + 27*g**4 + 155*g**3 + 313*g**2 + 264*g + 80 = 0 for g.\nAnswer: -20, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35234827 - -14134827. Round n to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-1068)*(-10)\/(-20). Which is the nearest to -2? (a) -1\/4 (b) 5 (c) k (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*h - 64 = 0, 44 + 60 = 5*l - 4*h. Let w be l - 0 - 4\/1. What is the units digit of (-1566)\/(-22) + w\/(-110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.2, -3\/11947?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**6\/80 - 3*j**5\/80 - j**4\/32 + 26*j. Factor c(t).\nAnswer: -3*t**2*(t + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305 minus 492543038?\nAnswer: -492544343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 10*d**2 - 10*d + 14. Calculate the remainder when i(-9) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**3 + k + 4. Let z be b(-2). Let q = z - 29. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4 - 3*z - 4)*(2*z**3 + 4*z - 3*z - 4*z**3).\nAnswer: 12*z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12294 - 122819\/10. Calculate the common denominator of (-9)\/(-3) - (-41)\/2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771790701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172783186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47444 and 47038?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -114280 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -22*h + 12. Solve 2*s - 5 = 3*a + h*a, -a + 2*s + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125192728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**20*s**6*s assuming s is positive.\nAnswer: s**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 131. What is the second smallest value in -0.6, -1, -5, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144635 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272 - 267. Which is the third smallest value? (a) j (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u + 1. Let x be t(-3). Suppose 2*i - 6 = 0, -2*v - 3*v + x = -3*i. Suppose 4*s - 1 - 3 = 0. What is the greatest common factor of s and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -19. Suppose 0 = -2*c + 4*c + 6, -s = 4*k + 2*c. Is -39*-1*k\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -35 - (99 + -87).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-3 - -3) + 85. Find the second derivative of 5*m**2 - 83*m - t*m + 153*m wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 176938.\nAnswer: 75\/88469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 + -303 + (-1 - (1 - -1 - -1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577199 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -45, 2, 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o. Let r(i) = 14*i. Let l(a) = -2*m(a) + 3*r(a). Let h(b) = -2*b. What is h(l(y))?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34227?\nAnswer: 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-466)\/(-72) + 0 + 14\/(-63) and (-18*1\/5)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 573 = 8*h - 7*h, -2*h + 1164 = -3*l. Let y(f) = 2*f**3 - 2 - f**3 - h*f + 582*f + 5*f**2. Determine y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + n + 24 = 0, 4*n = 5*s - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 4*r + 11. Let z be t(6). What is the tens digit of (-7 + 1 + z)*1056\/(-112)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193 + -85 + -156 - (28 + -2).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Suppose -m*j + 14 = -13. What is the smallest common multiple of j and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1869 and -0.08124?\nAnswer: 151.83756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 4*s**2 + 86*s**3 + 1 - 3*s**2.\nAnswer: 86*s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)\/(1\/3). Suppose -4*r + 17 = -l*q, -q - r - 7 = 2*q. Let g = 355 + -351. What is the biggest value in q, -2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 5*s + s)*(-3 + 4 - 4)*(s + 7*s + s).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -39\/2*l**6 + 0*l**4 + 1\/2*l**2 + 0*l - 128 + 0*l**5 + 25*l**3. What is the third derivative of r(w) wrt w?\nAnswer: -7020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v. Let r(c) = c**2 + 61*c. Calculate r(t(p)).\nAnswer: 121*p**2 - 671*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/14)\/(34950\/(-4893)). Do t and 296 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2119 - -2110. Suppose 0 = -2*t - 2*t + 12. Suppose t*b = 3, 4*h - 3*h - 1 = 2*b. Put x, -5, h in ascending order.\nAnswer: x, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -22 - 598. List the prime factors of (8463\/t)\/((-3)\/(-16)).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from uyyvyguvyyyyyyy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 2. Let x(y) = -7*y - 5. Suppose 8 - 1 = z. Let q(o) = o**3 - 6*o**2 - 9*o + 10. Let k be q(z). Give k*x(d) + 10*i(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 37 + -13 - (9 + -14 - 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**9\/5040 + c**7\/840 - 5*c**4\/12 + 2*c. Let k(l) be the third derivative of r(l). Find the third derivative of k(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-4*1*sqrt(475) + sqrt(475) + -2 + 0)**2.\nAnswer: 720*sqrt(19) + 51348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/(sqrt(4) + sqrt(36)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7422 divided by 3711.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.166 less than -21681\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**3 - 9*p**2 - 2*p + 9. Let i(o) = o**4 + 30*o**3 + 27*o**2 + 6*o - 24. Let r(s) = 3*i(s) + 8*j(s). Factor r(k).\nAnswer: k*(k + 1)*(k + 2)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -67. Suppose -4*z - 3*o + 102 = -5*o, 0 = z - n*o - 13. Let v be (-56)\/12*(-14 - 1). What is the highest common divisor of z and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6937 is divided by 211?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-87)\/(-6) - 3\/(-6). Let z = 166\/59 + -1057\/2242. What is the common denominator of (4 - (4 - 2)) + o and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + ((sqrt(240)\/sqrt(160))\/(1*sqrt(300)))**2.\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59562455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2.96, 3\/4, 0.2, -0.8 in descending order.\nAnswer: 2, 3\/4, 0.2, -0.8, -2.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020909853 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 2888?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 + l + 5. Calculate u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(((-1154)\/51930)\/((-12)\/(-10)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (3 + (-2)\/2). Suppose -3*g - 63 - 300 = 0. Let u = g + 481\/4. What is the smallest value in u, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((45 - 37) + -16 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (-245 - -114 - -67).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1838)\/919)\/((1*2)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 j when four letters picked without replacement from {k: 1, l: 2, w: 1, n: 1, h: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59117458, 118234926, 177352394?\n\"Answer: 59117468*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997.899377 - -117?\nAnswer: 3114.899377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993 divided by -993.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -443768761.9 rounded to the nearest 100000?\nAnswer: -443800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3069 - -177?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023113013 + 44?\nAnswer: -1023112525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230 - -115. What is the second derivative of o*c**4 - 345*c**4 + 21*c + 15*c**5 wrt c?\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13.16 (b) 0.5 (c) -117 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 30896 - b**2 + 2*b**2.\nAnswer: -b**2 - 30896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-211)\/(-3) - (4\/(-3))\/(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4273 divided by -4273.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*d - d + 24 = 0, 2*l + 2*d = 42. Suppose 696*o = 3144 + 5208. What is the lowest common multiple of o and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/6 - 30989*d**4\/2 + 2159460143*d**3\/6 + 19458607025*d**2\/2 - 10089198042*d = 0.\nAnswer: -28, 0, 1, 46497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1870 (b) -2\/17 (c) 0.3 (d) -4\/7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48458 take away -1.284?\nAnswer: -48456.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/49*(-14)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/((sqrt(54)*-1)\/sqrt(6)))\/(sqrt(144)\/(sqrt(12) + (sqrt(12) + sqrt(12)*-2)*4 + sqrt(12))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2 - 7*v + 14. Let l be i(-10). Suppose 10*n**2 + 2116 + 5*n**2 + l*n - 11*n**2 = 0. What is n?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66505 (base 11) to base 7\nAnswer: -551113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3990 and 481650?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.3. Let c be (6\/4)\/(108\/(-144)). Put s, c, 2 in descending order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Suppose 124 = 28*t - 660. Calculate the least common multiple of t and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 27*x - 76. Let q(m) = -82*m + 226. Let r(i) = -6*q(i) - 17*y(i). Let p be r(2). Solve -2*c + 3*c + 12 = -3*a, 2*a + 12 = -p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than or equal to -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*f**3*g*r + 2*f**3*r**3 - 2*f**3 - 76*f*r**3 + 15*g*r**3 + 11*r wrt g.\nAnswer: -30*f**3*r + 15*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373 + -6343\/17. Let n = -0.2 + -0.8. Let g = n + -3. What is the biggest value in -0.4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*k + 0*k = -16, 0 = -3*g - 4*k + 16. Suppose -3*t + t = g. Suppose a + a = t. Solve -2*j = 4*n + 8, 3*n + j + 6 = -a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 129 - 149 = 0. Solve -22 = -5*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Let v be a(9). Suppose 0 = v*c - 2266 - 78. What are the prime factors of c?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573387 or 4587087\/8?\nAnswer: 573387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79583 (base 12) in base 2?\nAnswer: -100111011011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfgffffffqfqffsf. Give prob of picking 2 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 91*u - 49*u = 41*u - 110, 4*u = 7*y - 90 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than or equal to -29105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1832 - 0.9642. Let j = s + 3.781. Sort j, 29, -3\/7.\nAnswer: -3\/7, j, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by 2\nAnswer: 241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -319.\nAnswer: 25\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, s: 1, n: 2, i: 8, j: 1}. What is prob of picking 1 i, 1 s, and 1 n?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, e: 1}. Give prob of picking 3 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**2 - 4. Let i(a) = -7*a**2 - 4. Let d be (-49)\/(-7) + (-2)\/((-4)\/(-2)). Suppose 0 = -d*k + 4*k + 12. Give k*l(w) - 7*i(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 - 16*j - 9. Let l be h(-3). Let d(y) = -2*y**2 - 2 - 3 - y**2 - y**3 + 14*y. List the prime factors of d(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7959147 is divided by 46274?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18549743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-15)*(0 - -1). Is b not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-932)\/2097)\/(4\/51).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7232 and 2712.\nAnswer: 21696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-68)\/(-20)*(-22 + (-4580)\/(-240)) and -17\/4528.\nAnswer: 13584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8, i + 3*n - 19 = -0*i. Calculate the least common multiple of i and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-14)*48\/(37488\/71).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(2\/13)\/n)\/n)**(-27))**(-15))**(3\/13) assuming n is positive.\nAnswer: n**(-13365\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen tenths of a decade?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75 + 2060?\nAnswer: 2059.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171744628?\nAnswer: 2, 292936157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -2.35. What is v rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48946382317135.4+0.5\nAnswer: -48946382317134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -12)*(-189 + 0). Let q = o - 113. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2 and -39\/41500846.\nAnswer: 41500846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q - 8. Let o = -3 + 7. Suppose -2*j + o*j = 0. Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*m**3 - 10*m**2 - 12*m**2 + 22*m**2.\nAnswer: -164*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 + 424. Let r = 181.00275 - u. What is r rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.106472 and -1562048732.\nAnswer: -1562048732.106472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14751, -59209, -133367, -237225, -370783, -534041?\n\"Answer: -14850*o**2 + 92*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 51 - 179 + 59 + 56 - 14*p. Let s = -21 - -36. Let m be f(s). Solve 4*u - 4*r = 12, m*r - 19 = -6*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**2 - 47*n + 0*n**3 - 29\/3*n**4 + 0. Let a(h) = -2*h**2. Give a(s(r)).\nAnswer: -26912*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -400248568.74.\nAnswer: -400248566.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.5. Suppose -33*k + 32*k - 6 = 0. What is the second smallest value in -0.2, k, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1343 + -1333. Suppose -2*o = -0*o + 3*z - 104, -5*o + 4*z + 237 = 0. What is the remainder when o is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -2160.\nAnswer: -120960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, w: 7, x: 1, l: 3}. Give prob of picking 1 l and 2 w.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2928 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: Let y(w) be the first derivative of 0*w + 1\/5*w**5 - 1 + 0*w**3 + 1\/2*w**2 + 0*w**4. What is the second derivative of y(m) wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**3 - m**2 + 2*m + 2. Let c(i) be the first derivative of -81*i**4\/4 - 3*i**3 + 21*i**2\/2 + 21*i + 2790. Determine 2*c(b) - 21*h(b).\nAnswer: 6*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61882701 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 10*v + 1. Let g(n) = -n**2 - 9*n + 1. Let q(o) = -o - 13. Let a be q(-7). Calculate a*g(z) + 5*c(z).\nAnswer: -4*z**2 + 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b - 14. Let p(m) = -2*m - 6. Let j(u) = 14*p(u) - 6*w(u). Let r be (-1 + 3)\/(0 - 2). Let s be j(r). Solve 2 = f - i + 3*i, 3*i - s = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let h(x) = -x**3 + 6*x**2 - 6*x + 3. Let g be h(v). Let a = g + 44. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17476.2 months?\nAnswer: 1456.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 12:00 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16237879.\nAnswer: 7, 2319697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 42*o**2 - 72*o - 154. Give g(18).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0*q**2 - 2411*q + q**2 + 2412*q. Let p(j) = -j**2 + 2*j - 2. Let i(v) = 4*v**2 - 9*v + 9. Let w(k) = -2*i(k) - 9*p(k). Determine -a(t) + 3*w(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 + -a?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 13475*w.\nAnswer: -5*w*(w - 2695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6) + 174\/9. Suppose w - 175 = -6*d. Calculate the greatest common divisor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/580 and 71\/5278.\nAnswer: 52780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96623503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35364 is divided by 17682.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(11)*-1))\/sqrt(5).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(245\/(-21) + 12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2360)\/(-140) - 14)\/(2 - 24\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1692846 and 107019?\nAnswer: 18621306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 46858 + w + 46858 - 11808*w**3.\nAnswer: -11808*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p + 4*n = -81*p + 5, -p + 16*n - 62 = -3*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75947, -151593, -227235, -302873?\nAnswer: -378507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134881 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -105, -101, -95, -87?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -854626, -1709306, -2563986, -3418666, -4273346?\nAnswer: -5128026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 (base 10) in base 11?\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.388027mg to tonnes.\nAnswer: 0.000000007388027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 49\/6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11573.536 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**5\/20 + t**4\/6 - t**3\/2 - t**2 + 2*t + 5. Let p(s) be the first derivative of h(s). Calculate p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 2, i: 8, c: 2}. What is prob of sequence mi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 210?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860710*u + 7240*u**2 + 430358*u + 430352*u.\nAnswer: 7240*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22783 - 1275763\/56. Calculate the common denominator of j and -99\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Suppose -w + 5 = 1. Let n(o) = -11*o + 6*o + w*o. Let y(q) = 11*q**2 + q. Let c(x) = n(x) + y(x). Give c(l(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = f - 10, 0*f = -4*f. Let k(l) = -4 + 4 + j*l**2 + 0*l**2. Let w(v) be the third derivative of 23*v**4\/24 - 69*v**2. Determine k(w(r)).\nAnswer: 1058*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:42 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1992242 and -73\/81316.\nAnswer: 3984484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 62*n**2 - 337*n - 19425. Give d(-62).\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18945 divided by 3\nAnswer: -6315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35089\/5 equal to 7017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -20. Suppose -16 = -2*u - 2*u + 3*q, -3*u - q = -12. Suppose -3*y + 17 = c, -5*c + y + 65 = -u*y. Calculate the remainder when d is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (8 - 11) + 3 - 25\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 9. Let z be c(8). Suppose -z = -a + 2. Suppose -12 = -3*h + h. Calculate the greatest common divisor of a and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5208, 5213, 5220, 5229, 5240?\n\"Answer: f**2 + 2*f + 5205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8, -5, -1 in decreasing order.\nAnswer: 8, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*v + 27 = 51, 2*v = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 313043 (base 6) to base 11\nAnswer: 1800a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 9\/75*5*8\/(-6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181892 divided by -45473?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -286, -381, -476, -571, -666, -761?\n\"Answer: -95*c - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 19*u**3\/6 + 30*u**2 - 2*u - 1. Let f be b(-3). Solve 0 = k + 2 - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2. Let v(o) be the second derivative of 0 + 2*o + 0*o**3 + 0*o**2 + 1\/6*o**4. Give w(v(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14396 + 9*c**2 + 14396 - 42*c**2. Let k(o) = 28*o. Give k(b(p)).\nAnswer: -924*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(2\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from aayyjyh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 - 11488*j + 22967*j - 12*j**3 - 11471*j.\nAnswer: 4*j**3 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4755*5\nAnswer: -2.3775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*n**3 + 97*n**3 - 195*n**3)*(4 + 4 - 1 - 4) as s*n**3 + m*n**2 + o*n + k and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 1.5. Let h = -1181 - -1180.96. Which is the fourth smallest value? (a) x (b) h (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6, x + 18 = -a - 9. Let g be 40\/x - 28\/(-3). Suppose -212 = -l - 5*j, 5*l = -g*j + 3*j + 1120. List the prime factors of l.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275760705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 102921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/(2\/6). Let o = 9 + x. Solve 2*p + 2*p = o*u - 13, p - 4*u + 17 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120767 is divided by 167.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4 + 1 + i**3 + i - 55*i**2 + 51*i**2. Let r be 14\/6 + 4\/6. Let f be z(r). Which is smaller: -1\/141 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19406038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w + 24*w = 357 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102260536 (base 7) to base 2.\nAnswer: -10111000100101010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 5. Let d be u(-5). Let j be d\/((-2)\/(-2))*1. Suppose 2*s - 238 = 4*w, w + 5 + 0 = j. List the prime factors of s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 30771507.\nAnswer: 123086028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u. Let p(q) = -9*q - 1. Let z(h) = 2*p(h) + 7*r(h). Calculate z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q. Let l(t) = t**2 + 8*t - 1. Determine -4*l(a) - 5*s(a).\nAnswer: a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 0*x - 25 = -2*k - h*x, -x = k - 8. Let z(l) = -k*l - l - 6*l**2 - l**3 + 2*l + 7. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 - 3*o - 3. Let w be n(-3). Suppose -w*d + 16 = -2*d. Let v be (-7)\/d + 4 + -2. Is v at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3 (c) -4 (d) -348 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v + 60 - 83\/3*v**3 - 43\/4*v**4 + 0*v**2. What is the third derivative of b(n) wrt n?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24315, -48616, -72917, -97218, -121519?\n\"Answer: -24301*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277 and 6656.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 + 8 - (1 + -1))*(-4090)\/(-15)?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1185\/4 + 297. What is the second smallest value in 1.3, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d - 2277 = -37*d. Suppose o - d = -2*r, -6 + 21 = 3*o. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3303 - 4402\/3303. What is the nearest to 1 in 4, i, -1, -64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24519.6 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjddjjddjdddj. Give prob of picking 4 j.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -175 in decreasing order.\nAnswer: 0, -1, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 27*m - 5. Let a be o(13). Solve -a*j + 7*j - 5*y = -21, 0 = -2*j + y - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.24294 litres?\nAnswer: 68242.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 16. Suppose -7*b + 3*b = -4*c - 144, c = 1. Let q = b + p. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635698459 divided by 1\nAnswer: -635698459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 5*u**2 + 2*u - 2. Let y be (-92)\/(-22) - 2\/(-22)*-2. Let t be j(y). Let c = -39 - t. Solve c*w - 18 = -3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -21, -45, -79, -123, -177, -241?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11536027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19a182202 - 2?\nAnswer: 19a182200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000818432 to seven dps.\nAnswer: 0.0008184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/5 - 4*s**3\/5 - 9*s**2\/5 + 16*s\/5 + 4 = 0.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 - 14. Let i = g + 5.2. What is the smallest value in i, -1.3, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -15, -22, -31, -42, -55, -70?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 593, 1093, 1591, 2087, 2581, 3073?\n\"Answer: -i**2 + 505*i - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 - 10419*f**3 - 4*f**2 + 214792*f wrt f.\nAnswer: 24*f**2 - 62514*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5\/3 + 30*p**4 - 200*p**3\/3 = 0 for p.\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {t: 1, b: 1, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -972*n - 18459. Determine p(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 916 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 254110000 to the nearest 1000000.\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.3 + 29.9. Which is smaller: 0.2 or a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from csqccccccvvcqscvsc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*i**2\/6 - 18245*i - 2246920\/3.\nAnswer: 5*(i - 1192)*(19*i + 754)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10*(113 + -118). Suppose -s - 8 = -5*s. Suppose 15 = m - 4*a, -s*m - 2*m - 3*a - 35 = 0. Sort -1, m, r in descending order.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:31 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6865.48 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2971154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21953, 21955, 21957?\n\"Answer: 2*z + 21951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5946*-0.258.\nAnswer: -0.4114068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1343 and 449\/97 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:36 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 93*i - 2319. Let n be h(25). Solve -p = -3*m - n*p + 4, 5*p = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 9*y**2 - 10*y - 43. Calculate g(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23514 is divided by 351.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2020302450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, w: 2, n: 9}. What is prob of sequence nn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202943 is divided by 1439?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116127036*h**2 + 217636071 wrt h?\nAnswer: -232254072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.702, -0.1, -1.9, 5, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -2*w - 416. Solve 8 = w*c - 50*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 332 + 13. Suppose -2*k = -3*n - 59, -3*n + o = 5*k - 4*n. Calculate the least common multiple of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29482144 divided by -7370536\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 - 10*c - 3. Let a be z(4). Let h(g) = -g**2 + g + 14. Let d be h(-4). Is d less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40 - 8)\/((1\/(-2))\/1). Let r = 64 + i. Solve r = -2*b + 8*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2163\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 71. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -33. List the prime factors of (-1 + l\/(-4))*166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(-5)*o*o*o)))**(-2\/23)*((o*o*o*o**(2\/27)*o)\/o)\/(o\/((o**(-9)*o)\/o)) assuming o is positive.\nAnswer: o**(-4787\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxxxxlqxmlxxxor. What is prob of sequence rmq?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47219, -47267, -47347, -47459, -47603, -47779, -47987?\nAnswer: -48227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:23 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 32 = 0, -2*t - 2*t + 5*p - 1 + 21 = -29 - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11707.0715 rounded to the nearest ten?\nAnswer: -11710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 50 = 6*i. Suppose -7*y + 2*y = -i. Suppose -y*d = 3*d. Solve -5*t - 5*k = 30, k - 4 = t - d*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197811 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose -4*v = -0*s - 3*s + 24, 5*v + 19 = s. Which is the closest to 0.1? (a) d (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o - 2*o)*(-o - 10*o - 6*o)*(-6*o + 2 - 2).\nAnswer: 204*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -3*b**2 + 1\/6*b**3 - 61*b + 0. Let g(q) = q - 1. Give 2*g(s) - z(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-6)\/u)*u\/u**(4\/7)*u**(-1\/3)*u**(1\/8)\/u*u*(u\/u**(-4))\/u*u*(u**(2\/5)\/u)\/u*u*u\/(u*u*u*u*u**(2\/11))*((u*u**(-8)*u)\/u)\/u assuming u is positive.\nAnswer: u**(13291\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622555, 1245106, 1867667, 2490244, 3112843, 3735470, 4358131?\nAnswer: 4980832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w - 4. Let h(f) = 2*f + 1. Calculate 11*h(q) + 4*n(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*j = -0*j + 28, 0 = -2*w + 3*j + 7. Suppose w = f + 5. Let m(k) = -29*k - 6. Let n(h) = 5*h + 1. Let t(s) = -6*m(s) - 34*n(s). What is t(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 344?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/2 + 2*u**3 + 3*u**2 - 3*u + 970. Let p(m) = -m**3 - 5*m**2 - 5*m + 2. What is -3*p(k) - 2*q(k)?\nAnswer: -k**3 + 3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6001049 is divided by 804?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 55769557351.8.\nAnswer: 55769557352.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 24*d**2 - 43*d - 160. Let z be y(-25). What is the highest common divisor of z and 1010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/21, 1\/6, -31?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 22. Let b be p(-7). Let s(t) = -t**2 + 8*t - 1. Give s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j)*(-4 + 3 + 3)*(4*j**3 - j**3 - j**3).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101250615.79 rounded to the nearest 10000?\nAnswer: -101250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 60 + 34*l**2 + 109)*(-5*l**2 - 16 + 16).\nAnswer: -170*l**4 + 90*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 + 75*q - 53. Let n be s(7). Calculate the highest common divisor of n and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -136*v - 3. Let c be w(-1). Suppose c = 6*p - 11. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5602*r - 61612. Give d(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 89. What is the remainder when r(0) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*a = -3, t - 4*a - 11 = -0*a. Suppose -t*y - 62994 = 2*p, 4*p = -2*y - 18938 - 23050. What is y rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from {j: 3, m: 4, v: 11}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 7) to base 9.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -508 (c) -2 (d) 3 (e) 1\/19 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*a + 28, -w + a = 4*w - 25. Suppose w*x = 4*q, -20 = -5*x + x - q. What is the remainder when x is divided by (2\/(-3))\/(2\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10*n = 2*n. Suppose n*z - z - 185 = -k, -k - z = -181. List the prime factors of k.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 105 + 35*v**2 - 105.\nAnswer: 35*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a. Let z be 4\/(-18) - (-455)\/1764. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 6, d: 7, t: 3}. What is prob of picking 1 d and 2 t?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 528, 529, 530?\n\"Answer: j + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 10*y**2 + 9*y + 9. Let o be c(9). Let w(a) = a - 13 - 11 + 30 - o. Calculate w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181807177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (4*(sqrt(2880)*-2 - sqrt(2880)))\/(sqrt(64) - (-3*(-2*sqrt(64) - sqrt(64)) + sqrt(64)) - sqrt(64))*-1).\nAnswer: 12 + 72*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/72 and 79\/22.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w - 14. Suppose -w = 6*b - 2*b. Let f be b + (9 - (1 + 0)). Solve 24 = -2*a + f*t, -3*a = -a - t + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -4. Let n = y + 15. Solve -v = -0 - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136 - 6*p - 16*p**2 - 3*p**2 - 136 wrt p.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i + i**2 - 4*i**3 + 5*i**2 + 2*i - 2*i**2 + 2*i**2 wrt i?\nAnswer: -24*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/25)*o**(-7\/3)*o)**(-44) assuming o is positive.\nAnswer: o**(1232\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 54. Let m(u) = 3*u + 65. Let s(k) = 5*m(k) - 6*t(k). Give s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*a + 284, -118*a = -5*s - 116*a - 1446. Put 1, 2, -2, s in descending order.\nAnswer: 2, 1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22.2, -0.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 8*h + 39*h + 28*h to w*h + m and give w.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 10*v**2 - 14*v - 2. Determine o(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:24 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*a + 2*a = 69396, 3*l - 52057 = -5*a. Suppose 2*j = 8256 + l. What is j rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/3 + 11*z**4\/3 - 5*z**3 - 45*z**2 + 72*z + 108 = 0. What is z?\nAnswer: -3, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**3 - 4*i**2. Give k(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4 - 1)\/21)\/((-2)\/(-6)). What is the third smallest value in 0.3, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 302741076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -809b (base 16) to base 5.\nAnswer: -2023143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - 4.92. Let a = 1.6 - 2. What is the third smallest value in f, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277814 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryywrry. Give prob of picking 2 y and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1504554*w**2 - w - 3. Let z be i(-3). Let g = z + 5240986. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 22. Let i = 19 + -19. Let b be k(i). What is the greatest common factor of 88 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 1546.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 3872 - 452 = 5*d. Calculate the greatest common divisor of 400 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:28 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88) + 4*1*sqrt(88))*5)\/((sqrt(8) - (sqrt(8) - sqrt(288)))*6 - sqrt(88)\/(sqrt(22)\/sqrt(2))).\nAnswer: -5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -50*s**2 - 46*s**2 - 51*s**2 - 12 - 2 + 156*s**2 - 3*s. Let q be j(0). Is 3 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + a46b1?\nAnswer: a46b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21968.36ml in litres?\nAnswer: 21.96836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-14) - (-189)\/294)*0. Put 22, 2, 3, l in descending order.\nAnswer: 22, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/2 + 130297*p\/2 - 390909 = 0.\nAnswer: -130303, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*g = 176*g - 288. Calculate the remainder when 61 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -3. Let b be (2\/(s\/(-10)))\/1. Let p(a) = -a**2 + 6*a - 7. Give p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 774?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448 and 56?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17*h - 1103. Let q be m(65). Solve q*p + 0*p - 10 = 0, -23 = l - 5*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -23 - 2\/(1 + 1). Let z = 26 + c. Is 21 + (z - 3) - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 400*p + 2315. Calculate w(-10).\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 58 = -2*j. Let s = j + -289\/5. Suppose 2*d + 4 = i, -4*d - 2*i = -0*i. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + sqrt(300) + (-2*sqrt(300)*-1 - sqrt(300)) + sqrt(300))\/sqrt(6)*-3.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/((-22)\/110). Let v be (10\/6 - 1) + 0. Put v, a, -2\/3 in ascending order.\nAnswer: a, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*j + 33*j = -37*j - 239494. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 2. Calculate the remainder when t(-5) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2559.694 - 0.4.\nAnswer: -2560.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 970*t - 17610. Give l(18).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*a + 25*a - 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 1 (b) -2 (c) 690 (d) 0.4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -1.4, -1\/4, 0.1, 4, -0.4, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 478, 479, 480, 481?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974004 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46255782 is divided by 16089?\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -110, -111, -112?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 2, y: 1, v: 4, n: 9}. What is prob of sequence nyx?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 303015 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j - 33*j + 50 = 4*b, -b = 44*j + 833 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:20 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c. Let t(r) = -6*r**5 - 4*r**2 + 24*r - 15. Let a(y) = -4*h(y) - t(y). Let p(j) be the first derivative of a(j). Differentiate p(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 - n + 19. Let t be g(0). Suppose 9*x + 1 = t. Suppose -7 = -x*p - 2*y + 1, -5*y = 2*p - 20. Which is greater: 18\/5 or p?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*l**4 + 748022*l**3*n + 122729*n - 135 wrt l.\nAnswer: -760*l**3 + 2244066*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 1140475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2 + 2 + ((-2 + 3 - 2)*(-j + 3*j - j) + (-2*j + 2 - 2)*(-4 + 1 + 5) - j - j + 4*j - j + 3 - 3)*(-12 + 10 + 43).\nAnswer: -165*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 828.12*-0.0753\nAnswer: -62.357436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-187)\/(-11))\/17)\/(-15*(-4)\/(-156)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*s - 14, -2*s + 0 + 4 = 2*a. Which is bigger: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 5*v - 10 = 0, v + 4 = 4*j. Let o(l) = 314*l**2 - 37*l**2 + 320*l**j + 278*l - 277*l. Is o(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let c = 8\/45 - -1\/45. Let i = -103653 - -103653.5. What is the third smallest value in c, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455 <= 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -31, -76, -231, -544, -1063?\n\"Answer: -8*a**3 + 17*a**2 + 22*a - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0*j - 3\/5*j**2 + 3\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 4*n**2 - n**2)*(-23 + 19 - 35)*(-2*n**2 + 0 + 0 + (-1 - n + 1)*(2*n - n + n) - 3*n**2 + 5*n**2 - 3*n**2).\nAnswer: -195*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.73904 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = x. Let q(f) = -2*f - 2. Let d(l) = 5*l + 9*l - 4*l + 10. Determine x*d(k) - 14*q(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(90\/(-48)))\/(-2)*108\/(-32). Let m(y) be the second derivative of 37\/2*y**2 + 39*y + 0 - g*y**3. What is the first derivative of m(b) wrt b?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffffjbbffbffff. Give prob of sequence bjfb.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*-10*(-20)\/30*7\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -103, -1, 2\/17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 40*x + 6 = 0. Find the second derivative of 20*m**x + 22*m**2 - 42*m**2 - 82*m**3 + 24*m wrt m.\nAnswer: -492*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -4*h**7\/21 - 34*h**6\/15 + 29*h**5\/5 - 10*h**4\/3 - 11*h - 7. Find l such that x(l) = 0.\nAnswer: -10, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*p, -48 = -2324*y + 2327*y - 6*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*y - 2*y + 8, -3*y = -4*u + 20. Solve 2*g + u = 4*x, 0 = -5*x - g + 8 + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14946*p - 14947*p - 3 = -g, -10*g + 78 = 2*p for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 972 + -65991\nAnswer: -65019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfnkkkkknknn. What is prob of sequence nf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 equal to 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84)*1 + sqrt(84) + sqrt(84)))\/(4*sqrt(12)*-1) + -2*(sqrt(252)\/(2*sqrt(4)))**2.\nAnswer: -63\/2 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2866659, 5733311, 8599965, 11466621, 14333279?\nAnswer: 17199939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*-2 + -2 + 189\/(-504).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15844 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z - 123*z**4 - z**2 - 4*z**3 + z**3 + 4*z**3 - 3*z + 129*z**4 wrt z?\nAnswer: 144*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 29. Let o be (-3 - 889\/(-56)) + (-1)\/(0 + -8). Let c(q) = 2*q + 58. What is o*g(s) - 6*c(s)?\nAnswer: s + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -34 (c) -4\/3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-75)\/216 + (-29)\/(-232). Which is the biggest value? (a) 2\/17 (b) h (c) -0.1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8630666 is divided by 811.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2))\/c)\/c)**20 assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 916411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*g - 2*g + 2*h, -3*g + 5 = -2*h. Solve d - 8 = -b - g, 4*d = -2*b + 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523208.\nAnswer: 2, 3, 63467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 279, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x. Let t(k) = 2*k**2 + 3*k. Let y be (2 - 2) + 2 - 0. Let q = -147 + 153. What is q*w(b) + y*t(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-8 - (-21 - -7)). Suppose 5*r - l - 332 = 0, -s*r = 3*l - 4*l - 266. What is the lowest common multiple of 30 and r?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 23954*v**3 + 23857*v**3 + 133*v - v**2 - 133*v.\nAnswer: -97*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.92668 + 0.17332. Put -3\/14, -2\/19, k, 0.1 in ascending order.\nAnswer: -3\/14, -2\/19, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383216*k - 24772*k - 55139*k.\nAnswer: -463127*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554962844, 554962842, 554962838, 554962832, 554962824?\nAnswer: 554962814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 883603166 and 12.891.\nAnswer: 883603178.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -166, -780, -1842, -3352, -5310, -7716?\n\"Answer: -224*x**2 + 58*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9476 is divided by 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s. Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*w - 4*w**3 + 9*w - 35 + 17*w + 3*w**3 - 2*w**2 + 14*w**4 - 44*w to the form b*w**3 + p*w**2 + o + g*w**4 + q*w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04848 - -0.04403305\nAnswer: -0.00444695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:56 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyfbdlfffdbfbdldddff. What is prob of picking 1 f and 1 l?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 8810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(28) + -3*sqrt(448) - (sqrt(84)\/sqrt(3) + -2 - sqrt(28)))**2 - (6*(-2*sqrt(2800))**2 - (2 + (sqrt(2800)*-1)**2))).\nAnswer: -305030 - 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50861 - 703?\nAnswer: -51664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a - 41*a + 2490*a**3 + 5 + 63*a - 3530*a**3 + 115*a wrt a?\nAnswer: -6240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/(-25)*15\/(-6))\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = p. Is 102\/p*(-2 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**3 + 9*a**2 - 6*a = 0. What is a?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279304 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s**3 - 8*s**2 - 16*s - 18. Let h(p) = 8*p**3 + 9*p**2 + 14*p + 19. Let x(r) = 4*h(r) + 3*m(r). Calculate x(13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48363418\/315 - 153534. Let c = s - 4\/45. Suppose 2\/7*p - c + 2\/7*p**2 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18363263 less than -18363262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 4. Let g be u(0). Suppose 0 = 7*o - g*o + 18. Let b(x) = x**3 + 5*x**2 - 2*x + 6. What is b(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.8, 0, 60, 3\/7, 5, 2 in decreasing order.\nAnswer: 60, 9.8, 5, 2, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13871\/38 - 365. Let z = -1.67 + 1.27. What is the fourth smallest value in z, -3, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 90*g = 91*g + 2098, h - 4*g - 431 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -13*o**6\/30 - 17*o**3\/6 + 18*o. Find the second derivative of l(k) wrt k.\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574*b + 1703 + 576 + 220 = -649 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -296 - -480e?\nAnswer: 4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 - (-1369 + 1330)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 25*v**2 - 657. Let p(u) = -u. What is p(o(n))?\nAnswer: -25*n**2 + 657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 9\/6)\/((-3)\/(-6)). Solve -n*j + 22 + 3 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 165?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 10*g**2 + 28*g.\nAnswer: -2*g*(g - 7)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21525863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45730*c**2 - 45767*c**2 - 45696*c**2 + 137000*c**2.\nAnswer: -193*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 89 = -86 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 7. Suppose m + q - z = 5, m = q + 2. Suppose 0 = m*u - u + a - 7599999, a + 3800001 = 2*u. What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 455260*n**3 + 0 + 456922*n**3.\nAnswer: 1662*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5021, 1\/7, -1\/8?\nAnswer: 5021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*j - 32*j - 28141 - 7859 = -40*j for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420121570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451297836 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (1 + -18))*1. Suppose c - f = 11. What is the greatest common factor of 112 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 40 - 25 + 17*k**2 + 5*k**2 - 21.\nAnswer: 18*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 588349206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 68 = 3*w + x, 4*w = -5*x - 67. List the prime factors of (-418)\/(-13) + 2\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 2\/79, -0.4?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1250) + sqrt(200)*-2 + (sqrt(6)\/(-2*sqrt(3)) - sqrt(4)\/sqrt(2)*-3)**2.\nAnswer: 5*sqrt(2) + 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759200554 to the nearest integer?\nAnswer: 27554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (20 - (-10 - -19)) - (0 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s**2 + 7. Let z(b) = -6*b - 12*b + 18*b + 2*b**2. Give d(z(k)).\nAnswer: 60*k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4088 * 2.3527.\nAnswer: -9617.8376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + i + 5 = 6*i, 5*j - 2*i + 11 = 0. What is the units digit of 11 - ((-15)\/j + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15823 + 15829. What is the closest to -2\/5 in p, 1, 51\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 34. Let h = y + 16. Is -7 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*a - 235087 = -517*a + 251*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 10 + 5\/3*d**3 - 1\/20*d**5 + 0*d**4 + 25\/2*d**2 + 3*d. Find the first derivative of f(m) wrt m.\nAnswer: -3*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081966 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1456 (base 7) to base 15\nAnswer: -28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/5, -0.124, 4, -0.2, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:43 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00362316043 to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 3443*r**3\/4 + 3953709*r**2\/4 - 1516897177*r\/4 + 1509003523\/2.\nAnswer: (r - 1147)**3*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1702.4 or 0?\nAnswer: -1702.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-6)\/17)\/(1\/(-6)). Let x = 298.02 - 303. Let o = x - 0.02. What is the biggest value in k, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 4*z - 4*k, -2*k = -3*z + 4*z + 36. Let t = z + 40. Do t and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926878577.\nAnswer: 19, 48783083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5171 - 97?\nAnswer: 5085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:14 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {i: 1, k: 3, o: 3, n: 2, j: 1, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 951213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -111 in ascending order.\nAnswer: -111, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:40 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 5084416\nAnswer: -5084420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11392, 11390, 11388, 11386?\n\"Answer: -2*d + 11394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 90162*z**2 + 799*z + 3183. Is f(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (213\/568)\/(1\/(-1)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907958 (base 10) to base 4.\nAnswer: 3131222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n - 4*n - 1 + 0*n + 2*n**2. Let r be y(6). Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180\/(-8)*(-2 + 1 + -1) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-6)*(-16)\/12. Suppose -o*a = 0, -3*i + 18 = -3*a - a. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7805 - -2.6805. Sort -0.3, 68, -4, y in descending order.\nAnswer: 68, y, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 - 2*c + 189. Let k be 3 + 6\/(-1) - 9\/(-3). List the prime factors of d(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 and (-2581)\/319 + 6*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 0.3 (d) -0.2 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b\/(b\/(b**(6\/11)*b)*b)*b*b*b\/(b*b*b**(1\/6))*(b**2)**(-35) assuming b is positive.\nAnswer: b**(-4331\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 10*j + 119. Let r = -14 - j. Suppose -r*c + 6 = 3*h, -5*c = -5*h - 25 - 5. Solve 4 = 2*w + 2*w - 4*l, -c*l = 5*w - 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 33493b11?\nAnswer: -33493b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63827598*w**5 - 4*w**2 + 47974296?\nAnswer: 3829655880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 248162290*x**2. Let h(f) = 4*f**2. Calculate h(d(i)).\nAnswer: 246338088712176400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 26*t + 16*t + 10*t. Let c(y) = 8*y**2. Give i(c(a)).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.97 - -0.03. Let o = -34 - -33. Let m = o - h. What is the third biggest value in 0.2, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 n when three letters picked without replacement from {l: 2, v: 6, b: 2, k: 1, z: 4, n: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -953 + 3831\/4. Is u < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o. Let v(a) = 16*a**3 + 2*a**2 - 3*a + 2. Determine -2*s(p) + v(p).\nAnswer: 16*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/3 + g. Let z be (3 - 0) + (-1 - -2). Let i(y) = 1 - 6*y - 1 + z*y. Calculate f(i(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32048*1\nAnswer: -32048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - z + 5*z + 2*z + 7*z - z + (0 - 1 - 1)*(3*z + 15 - 15).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.917 - -52. Let i = r + 3.917. What is the nearest to i in -1, -3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.2. Let j = -0.06 - 0. Let h = j - 4.94. Which is the third smallest value? (a) w (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/11)\/(v\/v**17)*v*v\/(v**(2\/33)*v)*v*v*v**(-7))**(7\/2) assuming v is positive.\nAnswer: v**(2821\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735 - 744. Does 57 divide (498\/p)\/((-32)\/336)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -6, 3 in increasing order.\nAnswer: -6, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 22.1. Let h = -1.1 + b. Let n = h - -19.294. What is n rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0176593 to four decimal places.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209*78\/(-858))\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 0.4 (c) 5 (d) 3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 96. Let d(c) = -5*c**2 + 15*c - 11. Determine d(v(i)).\nAnswer: -20*i**2 - 1890*i - 44651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 481 + 511. Let b = -4112 + 3949. Let o = b + m. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -31*q + 71*q - 37*q. Let w(l) = -26*l. Determine w(n(j)).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -707\/4 + 705\/4. Let y = 233 - 240. Let j be (-16)\/6 + 2 - -1. What is the second smallest value in j, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004638685 to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 3*s + 12. Let h be z(2). Solve v - 9 = -2*n, h*v - 3*n = -0*v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3845 = -2990. Calculate the smallest common multiple of n and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 50*z**2 + 51*z - 112. Let c be m(49). Let d(a) = 3*a**2 + 36*a + 48. Let b be d(c). Solve b*l = 129*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, -54 in decreasing order.\nAnswer: 2, 1\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 28 (c) -3\/19 (d) -2\/27055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-2)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 254724440 + 5?\nAnswer: 254724445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 5*b - 1039 + 1014 + 25.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let g(a) = a**2 - a + 1. Let j(m) = -8*m**2 + 6*m - 6. Let u be (-16)\/14 - (-6)\/42. Let t(b) = u*j(b) - 6*g(b). Determine t(x(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - h - 2. Let m(z) = z + 15. Let d be m(-7). Suppose -4*b - d = -0. Let s = -4 - b. Determine u(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15 + 21 + 15 + 5*g + 24. Let q be o(-11). Let j be 1 + (-172)\/q - (-80)\/100. What is the greatest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. Let i = 1 - 0. Let q = i + s. Are 0 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552261 (base 7) to base 14.\nAnswer: -27431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - w - 2*w + 8*w - 3*w. Let i(n) = 13*n**2 - 2*n - 2. Let z(r) = -25*r**2 + 5*r + 5. Let t(s) = 5*i(s) + 2*z(s). Calculate k(t(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -25, -4, -2\/9, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -744*h + h**2 + 248*h + 249*h + 260*h**2 + 245*h + 9*h**3 to the form q*h**3 + p*h**2 + g*h + i and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/570 and 99\/383230?\nAnswer: 1149690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4743*i + 33134. Determine x(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-17)\/(-612)*20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l)**(-31) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 277 + (-40)\/(-520)*-169. Solve -r = n + 6, -r - 14 = 270*n - s*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 - k + 1. Let t(m) = 21*m**2 + 3*m - 4. Let c(b) = 3*s(b) + t(b). Let o(j) = 4*j**2 - 2. Calculate 5*c(n) - 4*o(n).\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 5) + 2 + -38 - -6. Sort 1, -4, 3, m in increasing order.\nAnswer: m, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1332055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 2233\/(-294) - 52\/(-104)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54550.78 days to milliseconds.\nAnswer: 4713187392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45199 and 24409?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aawa when four letters picked without replacement from wyaaawwaa.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-12 - (-2 + -4)) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63651 (base 7) to base 4\nAnswer: -3312111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.372 + -0.52. Let v = -2.57 + 2.4281. Let u = v - q. Round u to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 31*r + 218. Determine p(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -319.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46367.89 centuries?\nAnswer: 463678.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -687, -863, -1039, -1215?\n\"Answer: -176*r - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451101, -1804418, -4059947, -7217688, -11277641, -16239806?\nAnswer: -22104183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2 - 88*s - 5. Let z(g) = 9*g**2 + 87*g + 6. Let k(m) = -6*p(m) - 5*z(m). Let l(q) = 7*q**2 + 46*q. Let h(u) = -4*k(u) + 9*l(u). Factor h(f).\nAnswer: 3*f*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -3, -5, -31294, -1 in descending order.\nAnswer: -1, -3, -5, -71, -31294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-28)\/(-12). Let s = l - -1. Solve -s*c - 14 = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:01 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096958 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1111, 1095, 1079, 1063, 1047?\n\"Answer: -16*d + 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/2)\/(-6 + (-392)\/(-70)). Let i(u) be the third derivative of -3*u**2 + 0*u + 1\/30*u**y + 1\/12*u**4 + 0 + 0*u**3. Suppose i(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 123*n + 1000. Determine m(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = -3*n, -n + 5*n + d = 24. What is the least common multiple of 7 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (sqrt(3267) - (2*sqrt(3267) + sqrt(3267)))) - (1*sqrt(30)*6)\/(sqrt(80)\/sqrt(72)))**2.\nAnswer: -1296*sqrt(3) + 139977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-37965096)\/(-20))\/((-6)\/(-20)). Suppose 14*a - 6832484 = k. Round a to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 4. Let t be o(2). Suppose -u + t*u = 100. Let k(y) = 6*y**2 + 2*y + 1. Let z be k(-1). What is the greatest common factor of u and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(-555)\/(-4884).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 + 2*r - 5. Let n be a(3). Let z = n - -22. Let g = -7 - -41\/6. What is the third smallest value in z, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3043 (base 5) to base 7.\nAnswer: -1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.4, -28, -68943\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 1, 0.2, -5, -2\/189, -228\/13, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*j + j**3 + 1 - 65*j)*(194*j - 460*j - 163*j) as g + n*j**4 + u*j**3 + p*j + y*j**2 and give p.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410023204 (base 5) in base 8?\nAnswer: 15556245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 88, 242, 534, 1012, 1724?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 112*d - 3. Let s(q) = 1251*q - 36. Let r(u) = 45*p(u) - 4*s(u). What is r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.719586 days?\nAnswer: 321372230.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -172, -11, -1\/5 in decreasing order.\nAnswer: -1\/5, -1, -11, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4080\/90)\/((-96)\/36).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 5. Let v(z) = z + 5. Let t(l) = l**2 + 27*l + 56. Let x be t(-25). What is x*v(n) + 5*y(n)?\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**3*s**2 - f**3 + 13*f**2*s**5 - 2*f**2*s + 12*f**2 wrt s.\nAnswer: 10*f**3 + 260*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y - 2. Let h be f(7). Suppose -11 + 1 = 4*d + h*g, 0 = d + g + 2. Let o = 62 - d. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10018153 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 l when four letters picked without replacement from {l: 15, j: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8633.43 + 33240?\nAnswer: 41873.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15695, -15697, -15699, -15701, -15703?\nAnswer: -15705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 6. Let z be r(2). Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 3. Suppose 0 = -4*n + 3 - 19, -3*p + 12 = -3*n. Solve p = o - a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -8) + (9 + -13 - 5) + -1 + -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.54 + 0.54. Which is the nearest to -1\/2? (a) 2\/17 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.3 + -21.3. Suppose 0 = -4*z + 3*t + 7, -2*t + 9 = 3. What is the nearest to 1 in -6, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*44\/(-1650)*3\/2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 81\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -120. Let u = n - -42. Sort 0, u, 2, 4\/5 in descending order.\nAnswer: 2, u, 4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g)**(2\/165))**38 assuming g is positive.\nAnswer: g**(76\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2427, 2434, 2445, 2460, 2479, 2502?\nAnswer: 2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22601.5 + -4?\nAnswer: -22605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o**3 - 5*o**4 + o**2 + 5\/336*o**8 + 0 - 18*o + 3\/4*o**6 + 3\/14*o**7 - 1\/3*o**5. Factor f(v).\nAnswer: 5*v*(v - 1)*(v + 2)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1463386*y**3 - 1463386*y**3 - 1979*y**6 - 1586*y**2 wrt y.\nAnswer: -237480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235158237*c**2 - 3350741*c + 104 wrt c?\nAnswer: -470316474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13569575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*m + 18*m + 26*m + 11730 = 28*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 1\/3 (c) 1\/2 (d) -1 (e) 0.4 (f) -44\/9 (g) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 28.1533.\nAnswer: 591.2193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -1335, -2995, -5319, -8307, -11959, -16275?\nAnswer: -21255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*r - 144*r + 447*r - 3*r**2 - 151*r - 4.\nAnswer: -3*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**8\/5040 + 13*v**7\/630 - 169*v**6\/180 - 41*v**5\/60 + 62*v**2. Let o(b) be the third derivative of l(b). Factor o(n).\nAnswer: -4*(n - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9733 or -9735?\nAnswer: -9733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let x be l(7). Solve x*h = -h + 3*f - 34, h = 5*f - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.5 (b) -0.4 (c) 12 (d) -276 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -231*z**2. Let m(l) = -371791*l**2 - l. What is m(b(s))?\nAnswer: -19839139551*s**4 + 231*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -8*i**6\/15 - 3*i**5\/20 + i**3\/6 + i**2\/2 + 180*i. What is the second derivative of g(z) wrt z?\nAnswer: -192*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from unneggeeng?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -213786492 + 127702\nAnswer: -213658790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a + 15. Let f be i(-1). Suppose 0 = -2*j + 25 - f, -2*j = 3*s - 821. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226000 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 43*l - 45. Let p be i(-42). Let m be 0\/p*(-5 + 11)\/(-12). Suppose 4*t - 5 = 3*t. Sort m, -4, t in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*u + 2736 = -313*u - 196*u - 192*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 2259*n = 932*n + 6494 + 85465 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4290492 and 332883.\nAnswer: 38614428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-15))\/(-2*(-2)\/(-12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8070 and 0.25132?\nAnswer: -2028.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**2 - l + 18. Let z(i) = 6*i - 7. Let y(q) = 10*k(q) - 5*z(q). Find the first derivative of y(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/23)*y))\/(y**9*y))\/(y**(-2\/15))**(-1\/43) assuming y is positive.\nAnswer: y**(-149686\/14835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301853230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 429*n**2 + 251*n - 7. Give x(-2).\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -337 + -4?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = v + 1035, -5*f + 3*f - 531 = 5*v. Let a = f + 258. Solve -5*x - 17 - 3 = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-14)*3\/(-18). Let n = 22 - 21. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 651?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 190, 178, 152, 106, 34, -70?\n\"Answer: -f**3 - f**2 - 2*f + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.050842*-3\nAnswer: 0.152526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 119*h**4\/12 + 1867*h**3\/6 - 11*h - 5. Find the second derivative of m(d) wrt d.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*y + 4*y. Let s = y + 9. Suppose -234 = -3*a + 7*t - 12*t, t = 3*a - 198. What is the remainder when a is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let x be (-3)\/(b\/(-75) - 0). What are the prime factors of (-2)\/8 + x\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 14*z - 240. Let f be s(24). Sort 12, f, 9.\nAnswer: f, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 64 = -2*w, 7*w = 2*m + 2*w - 34. Solve -4*q + m = 4*u - 20, 2*u - 1 = 3*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 24*p - 12. Let c(a) = -30*a**2 - 101*a - 49. Let z(f) = 13*b(f) - 3*c(f). Suppose -4*x + 0*u = -4*u + 32, 2*x = -5*u - 2. Determine z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24813?\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(((-5)\/(1905\/3))\/(-2)). Suppose t = 7*j - 3447. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**5 + 14*a**4 - 10*a**3 + 2*a**2.\nAnswer: -2*a**2*(a - 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - 30. Let y = o + 55. Let i = 0 - -1. Sort y, 0.3, i in descending order.\nAnswer: i, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - 2)*(-4)\/8. What is the second derivative of -4*h**2 + g - 6 + 3*h + h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 3*h**2 - 3*h + 1. Give l(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 308625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14944068?\nAnswer: 2, 3, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 4*b - 1. Let m be i(3). Let z(g) = -2 + g**3 - g**m + 0 - 3 + 4 - g. Determine z(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229394 is divided by 278635.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26938073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62713 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**11*v**(-3\/7)\/(v\/((v**(-4\/5)*v)\/v)) assuming v is positive.\nAnswer: v**(-78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375647 is divided by 375601?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/15, -1, 0.05, 2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 45. Suppose f*a + 10 = 10*a. Let h = 28 - 12. Calculate the lowest common multiple of h and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -80, -179, -328, -533?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g**2 + 5*g**2 + 15*g**2 - 4*g**2 + 12*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 + 3*g**2)*(0*g**2 + 4*g**2 - 2*g**2) + (-2 - 4 - 2)*(g**4 + 3*g**4 - 2*g**4).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4 + -9\/20. What is the biggest value in h, -5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861045, -1722089, -2583133, -3444177?\nAnswer: -4305221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -1, 0*n + 2*n = 5*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45318 is divided by 684?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10155326 is divided by 406213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 2*f**2 - 2. Let t be o(-3). Let p = t - -10. Calculate the highest common factor of 32 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3820495 times -1.2\nAnswer: -1.6584594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796344965?\nAnswer: 5, 13, 1579, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + g**3 + 10 - 2*g**2 - 11 + 3*g in the form a*g**2 + z + s*g + m*g**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x**3 - 17*x**3 + 52*x**3 + 54*x**3 + 73*x**3.\nAnswer: 119*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 134284?\nAnswer: 671420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8784?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 580*t**2 - 25*t**5 - 5*t**4 - 704*t**2 + 24*t - 65*t**3 + 231*t**3 = 0. Calculate t.\nAnswer: -3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2908 divide 574238276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 26 = -4*w, 0*p = -p + 2. Let k(v) = 3*v + 1 + 4*v + 2 + 0 - 4*v**2 - v**3. What are the prime factors of k(w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -173\/585522?\nAnswer: -173\/585522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 19*p + 71. Let n(o) = -1. Let t(y) = n(y) + q(y). What are the prime factors of t(16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*a - 28*a + 59*a)*(-a + 2*a + 3*a).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38481 - -38480.81319. Let v = -0.186 - p. What is v rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3 - 3)*(65*g**2 - 6*g**2 + 8*g**2)*(-2 + 2 - 2) to the form o + s*g**2 + k*g + d*g**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22458, 22481, 22528, 22605, 22718, 22873, 23076?\nAnswer: 23333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-12)*(-16)\/12. Let m be 1\/(0 - (-1 - -2)). Which is the third smallest value? (a) q (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 18*g = -64. Sort g, 2, -36.\nAnswer: -36, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - -254. Let a = -188 - s. Let n = -285.9742 - a. What is n rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 21295*o**2 - 383617*o + 362321 = 0. Calculate o.\nAnswer: -21313, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491370 is divided by 30098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4\/3 + 6*v**3 - 17*v**2\/3 + 4\/3 = 0 for v.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 2 - 1 - 3*l**2 + 3*l. Let j be (0\/(2*-1))\/1. Let v be 1 - (-1 + (-1 - j)). What is u(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -8*f + 20. Let a = 246 - 491\/2. Find h such that -3\/2*h - a*h**2 - f = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 5440*x - 87139. Determine c(16).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303760*z**2 + 5*z**3 + 151881*z**2 - 114*z**3 + 151879*z**2.\nAnswer: -109*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 2. Let a(o) = -90*o + 27. Let s = 1765 - 1792. Calculate s*k(d) + 2*a(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yryssysysrsyybsyjyjs. Give prob of sequence byrj.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, h: 1, s: 1, x: 1}. Give prob of picking 1 x, 1 h, and 1 q.\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 369086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 9) to base 7.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 556119749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -7*y + 2*y. Let s = 191 - 44. Let v = s + y. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -14873.\nAnswer: 4461.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99644 - -3?\nAnswer: 99647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(320) + 0)**2 - (-5 + (sqrt(320) - (sqrt(320)*2)**2))*-3.\nAnswer: -3537 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 9*g - 2. Let o(r) = -2*r**2 + r - 1. Let y(t) = 6*o(t) - w(t). Determine y(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 12*q - 6. Let j be f(-11). Let a(p) = -p**3 + 7*p**2 - 6*p + 1. Let m be a(j). What is the greatest common divisor of m and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ddd1 (base 14) to base 7.\nAnswer: 656651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.72 + -0.72. Which is the closest to 0? (a) 2\/3 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5756 + -356110?\nAnswer: -350132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191583, -191587, -191593, -191601, -191611, -191623?\nAnswer: -191637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*t + 6092 = 0, 0 = -2*d - t - 0*t - 3058. Let k = -18311\/12 - d. Find the common denominator of k and 47\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2448) - sqrt(2448)*-2) + -5)**2.\nAnswer: -648*sqrt(17) + 22113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126407*h + 27480 = -125949*h for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4 - 2100\/(-524)). Suppose -3*j - 81 = -2*u, 0*u + 3*u - p = -5*j. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375768 times 7.4?\nAnswer: 17580683.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -0.3 (c) -1542 (d) -2 (e) 158 (f) -4 (g) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011226 (base 9) in base 13?\nAnswer: -15b3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/7 - 204455176*g\/7 + 5225239874148872\/7 = 0.\nAnswer: 51113794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 3 + 6*j - 7*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Let k = 26 - -2. Let b(v) = k - 14 - 14 + 3*v. What is l(b(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2413*m**2 + 34264*m - 790386185?\nAnswer: -4826*m + 34264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/12 + f**3 + 34*f**2. Let m(q) = 9*q**2 - 11. Suppose 0 = 2*d - 0*d + 12. What is d*m(j) - 11*y(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 19. Solve 5*y = 5*a + v - 2, -5*y + 2*a = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2521, -2810, -3099, -3388, -3677, -3966?\nAnswer: -4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46889\/117335 - -9\/23467. Factor -2\/5*z**2 + y*z + 0.\nAnswer: -2*z*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/34 - (660\/(-170) - -5)) + -22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.972 - 3.8. Let r = -0.17299 + j. Round r to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 5. Let j be 1 + o - (1 - 2). Let g(c) be the first derivative of -c**4\/4 - 2*c**3\/3 - 4*c + 21. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 - 87 = 3*z. Suppose -5*q = 4*c - z, 8*q + c - 265 = 4*q. Calculate the remainder when 253 is divided by q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25661 is divided by 1339.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0378 + -0.3378. What is the biggest value in t, 13, -0.05?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/4 - (5 - -2). Let r be (-2)\/(-5) - (-4)\/g. Suppose 0 = -2*a - r*a + 18. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*k - 6*k - 10, 3*s = 3*k + 18. Let v be s*(1 + -2 - -2). What is the greatest common divisor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 108*x = -103*x - 15, 0 = 2*x - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3\/3 + 430*p - 154. Differentiate y(j) with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-17)*i*i\/i**(-16\/3))\/(i\/(i*i**(-2\/29))*i*i**(7\/5)) assuming i is positive.\nAnswer: i**(-5279\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 2*p = -450, 2*p = -k - 458. Let n = 20426\/45 + k. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7634 is divided by 7624.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 12, -m + 62 = 5*z + 2*m. Calculate the greatest common divisor of z and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1626 and 15954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + -2 + 0. Let y(x) = -186*x + 42. Let u(s) = -45*s + 10. Let w(g) = 9*u(g) - 2*y(g). List the prime factors of w(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {k: 9, o: 4, g: 2, s: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23579472 and 1608?\nAnswer: 1579824624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*t**3 + 247*i*t - 6941*i - 2*t**3 wrt t.\nAnswer: 12*i*t**2 + 247*i - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)*(-7432510)\/(100\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 9*k = -128. Let p = 100 - k. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 4*k**2 + 0*k**4 + 0*k**3 + 0 + 1\/30*k**5 + 0*k. Let f(d) be the third derivative of -d**5\/60 - 2*d**2. What is f(l(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2239030023 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:58 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyycccycdvyccv. Give prob of sequence vvdy.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 6, s: 7, g: 5}. What is prob of picking 2 x and 1 g?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 12, w: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-5) + sqrt(26)\/(-5*sqrt(2)))**2.\nAnswer: 102973\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**4 - 8*b**3 - b**2 + 8*b + 8. Let x(n) = -3*n**4 + 3*n**3 - 3*n - 3. Let u = 4 + -7. Let a(t) = u*z(t) - 8*x(t). What is i in a(i) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {h: 7, j: 1, u: 3, y: 2, r: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -5*q - 8, 15 - 26 = 5*q + 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-1 + sqrt(153))**2) + (sqrt(17) - (sqrt(17) + -6*(2 + sqrt(17)))**2).\nAnswer: -723 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 + 2*z + 3. Let g be f(-3). Let l = g + -11. Sort -4, 2, l in increasing order.\nAnswer: l, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 2272\/6. Let f = -5309\/14 - i. Suppose 5*o + 3*l + 18 = 4, 18 = -3*o - 5*l. Do o and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 1 + 3*z + 1 - 2*z**2 in the form h*z**2 + s*z + u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**3\/3 + 9*o**2\/2 + 12*o + 1. Let r be b(-8). Find the second derivative of l**2 - l + l**r - l**2 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.3 - 34. Let s = 6.7 + o. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 5*x**2 - 7*x + 4. Let r(u) = u**3 - u**2 - u + 1. Let w(h) = r(h) - y(h). List the prime factors of w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 14*x - 12. Let c be q(15). Suppose 14 = p - 4*t, 2*t + 2*t = -c*p - 6. Solve -4*o + 5*a = p, -3*o + 2*a - 7 = -2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2 - 15 = 4*j, -3*i + 13 = -j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91*-226319.\nAnswer: -205950.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1748 and 2052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 i when three letters picked without replacement from {c: 2, k: 2, i: 1, t: 3, h: 1, u: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, -14 in descending order.\nAnswer: 5, 4, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -4 (b) -0.5 (c) 3\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557337?\nAnswer: 3, 11, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 95\/19 + 9 + -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(2\/113)\/(w**(-1))**47)\/((w**(-1)*w)**5\/((w**(-1)\/w)\/w*w)**(5\/16)) assuming w is positive.\nAnswer: w**(125785\/2712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 22*j - 18*j - 9, 2*j + q = -13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85\/3 + -28. Let f = -0.013902 - 2.044198. Let i = f - -0.0581. Sort i, g, -50 in descending order.\nAnswer: g, i, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 25 = -3*b + 5*o, 3*o - 15 = -2*b. Suppose 3*j - 2*i - 130 = b, 0 = 5*j - 2*i - 2*i - 220. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.1 - -12. Let j = 0.2 - 0. Let k = l + j. Which is smaller: -0.02 or k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8530 is divided by 502?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v. Let k be u(-2). Let q be -1*13*(40 - k). What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55617 - 78617. What is u rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(5\/(-10)). Calculate the remainder when 61 is divided by (-4 + 0)\/(l\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 5, u: 3, k: 7}. What is prob of picking 1 f and 1 v?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 663\/143 - 7434\/3696\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13091 - -13095. Let q(p) = 3*p**3 - 14*p**2 + p + 6. Calculate q(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -73, -143, -235, -349, -485?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 321968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446.764 to 0 decimal places.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3996 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11124040 + 2?\nAnswer: 11124042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21723609923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(1 - 1 + 2*z) + (0 + 0 - 2*z)*(-1 - 5 + 5) to the form t*z + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*p - 12 = 0. Let q be 4\/(-3 + 5 + 0) - p. Suppose 5*k + 2*j - 165 = 5*j, -4*k + 2*j + 132 = q. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -16 - 8\/3*v**3 - 1\/4*v**4 + 8*v + 11\/2*v**2. Let t be z(-9). Is t at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*m**2 + (-21*m + 2*m + 7*m - 13)*(-m + 6*m - 2*m).\nAnswer: -31*m**2 - 39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) -224017 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -1022?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/3)*c)\/(c*c*(c\/(c\/(c\/(c\/(c**1*c)))))\/c*c))**38*(c**(1\/2)*c**6)**14 assuming c is positive.\nAnswer: c**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880437063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 5101\/252. Let f = -1501\/44 + 147\/11. Let m = b - f. Which is greater: m or 0.01?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*a + 5, -7*m + 5*a = -5*m + 15. Solve -f - m*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -572 (b) 2\/3 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.68 * 0.08\nAnswer: 0.2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/60)\/((-4)\/(-6)). What is the closest to m in 0.4, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 37?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5896565 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3734398909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 10:26 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192941 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16776*w**3 - 8221*w**3 - 8446*w**3.\nAnswer: 109*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g - 9. Let f(r) = -20*r + 26. Let i(p) = -40*p - 164. Let c be i(-10). Let a = -222 + c. What is a*q(v) + 5*f(v)?\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 - 4?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 188*f**2 + 208*f + 1722. Is y(-8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + (-59400)\/(-1855))\/((-34)\/119)\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 17, -4\/50373?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5. Let i be u(3). Let c(l) = 2*l**3 + 5*l**2 - 3*l - 6. Let v be c(i). What is the remainder when 18 is divided by v\/2*(-2)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1256 + 100b2?\nAnswer: aa58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -2*y**3\/69 + 25*y**2\/23 - 48*y\/23 - 691. Factor k(s).\nAnswer: -2*(s - 24)*(s - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**3 - t**2. Let l be o(1). Suppose -p - 3*s = 6, -p + 28 = p - l*s. What is the greatest common factor of p and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 246?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.62 - 4. Let d = -0.08 - f. Are -2\/7 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 19 (b) -324 (c) 1.3 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27246399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 43 + 42*l + 91*l - 145*l. Give d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 232135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 27 = -0*m + x, -12 = -4*m - 4*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -135\/2*x**2 + 2\/3*x**3 + 0*x - 300 + 0*x**4 - 44\/5*x**5. Find the second derivative of m(h) wrt h.\nAnswer: -528*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89268894 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*u - 50. Let b(g) = 5*g**2 - 1 - 5*g + 4*g + 6*g + 6 + u*g**3. Let s(q) = 10*q**3 + 7*q**2 + 7*q + 7. Calculate 7*b(k) - 5*s(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 - 4547?\nAnswer: -4572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03092356 to four decimal places.\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2490*r - 438 = 2709*r. Let w(b) = 4*b**3 + b**2. Let h be w(-1). Suppose 2*f - 22 = -2*t + 6*f, 23 = -2*t - 5*f. Sort r, t, h in decreasing order.\nAnswer: t, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -3*x**6\/40 + 5*x**4\/12 - 1991*x**3\/6 - 4*x**2 - 314*x. Differentiate q(w) with respect to w.\nAnswer: -27*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38628427663 less than 29?\nAnswer: 29.38628427663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xidfedddiiixix. What is prob of sequence xide?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2124, 5 in ascending order.\nAnswer: -3, 1, 5, 2124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/4, -0.3, 208, 0.5, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 6*m**2 + 6*m. Let u be w(-2). Sort 5, u, 2, -3 in decreasing order.\nAnswer: 5, 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -16*n, -42 = 2*d + 3*n. Which is smaller: -19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -65, -64, -63, -62?\n\"Answer: u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g)**1\/(g**(-4))**(-27) assuming g is positive.\nAnswer: g**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 15*g**2 - 29*g + 990. Calculate z(18).\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95353 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/38, 2.5, -0.2.\nAnswer: -0.2, -1\/38, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + 5*h**3 - 12*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/j**(-4)*j**(2\/7)*(j\/j**(-2\/17))\/j)\/((j**(-3\/10)\/j)\/(j\/((j\/j**(1\/9))\/j))*j\/j**(-3\/5)*j*j*j**(-1\/5)) assuming j is positive.\nAnswer: j**(40139\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4040 = 86*b - 3094 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2697 divide 1573303957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*x**2 + 268*x**2 + 9 - 27 + 18 + 45*x.\nAnswer: -x**2 + 45*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 8*t + 14)*(-4 + 1 - 1)*((0 - 3 - 2)*(3*t - t + 0*t) + (4 - 4 - 4)*(t + 2*t - 5*t)).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*u - 1, -2 = 2*u - 0*p - 3*p. Suppose 0 = -f + 5*i + u, 0 = 3*f - 3*i - 7 - 8. What is the remainder when 7 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69486 (base 10) to base 7.\nAnswer: 406404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/y**(-1\/2))))\/((y\/(y*y\/((y*y**14*y*y*y)\/y)))\/y)*(y\/(y**(-1\/14)*y)*y)\/(y\/y**13))**(-38\/3) assuming y is positive.\nAnswer: y**(-152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511470084 + 35*x + 15*x - 511470084.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -177*i - 414. Calculate j(-3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 + 4 = 0. Let n be (3 - -1) + -2 + b. Which is smaller: 2\/27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51338430 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.9231 (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 44*u - 128. Let b = 10228 - 10225. What is p(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4 - 2*l**3\/3 + l**2\/2 - 3. Let t be q(1). Suppose -j + 143 = 3*o, 64 = 3*o - t*j - 71. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 99615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1 - 17) + 136 + -135)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:32 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197.8 - 194.8. What is the smallest value in 0.4, l, -4\/11, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.7694 - 12.7. Let u = w + -0.069979. What is u rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7889833?\nAnswer: 7, 161017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -6.371?\nAnswer: -19.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 14 + 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 4*j + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2528879*i**5 - 435*i + 1697 wrt i?\nAnswer: -50577580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1312 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 4*g = -9*s - 44, g - 15 = -s. Let v = 60 + -33. Let o be ((-26)\/3)\/((-2)\/v). What is the greatest common factor of s and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2 + 39*y - 97. Determine r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142116340 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 152*p - 86 = 157*p, p + 5 = 0 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from eeeteeteeeeteetteeee.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*1 + (sqrt(88) - 2*sqrt(88) - sqrt(88))\/sqrt(4))\/(sqrt(6)\/sqrt(3)*1 - ((sqrt(8) - (sqrt(8) - sqrt(16)\/sqrt(2))) + sqrt(8))\/sqrt(4)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.629571 - -13\nAnswer: 12.370429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.9. Let q = -9.1 + 8. Let z = q + 1. Which is the smallest value? (a) -5 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1736780, -3474223, -5211680, -6949157, -8686660, -10424195, -12161768?\n\"Answer: -r**3 - r**2 - 1737433*r + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*r + 128, -4*x + 2*r = x - 151. Suppose 3*o = -88 + x. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100001101000000 (base 2) to base 11.\nAnswer: 33a927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -1478, -3303, -5842, -9089?\nAnswer: -13038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64155 and 918645?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3592 and 898.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 19 = 5*q, 1146189*y - 1146187*y + 3*q = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2 = 4*i, -2*r - 3 = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4370680222\nAnswer: -4370680222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhhl when four letters picked without replacement from {h: 4, l: 2, n: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 19*y**2 + 123*y**2 - 27*y**2 - 29*y**2 - 26*y**2 - 20*y**2.\nAnswer: 6*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/18 + 4*j**3\/9 + j**2 + 29*j. Factor h(y).\nAnswer: 2*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*p - 3 + (-3 + 5 + 1)*(-p - 2 + 2).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(-5 + (sqrt(18))**2 - sqrt(22)\/(sqrt(11)*1)) + -2 + (2 + sqrt(288)*-2)**2).\nAnswer: -91*sqrt(2) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 117.9714km?\nAnswer: 11797140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9922 from -998774.\nAnswer: -998773.0078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 + 0*n - 4*n + 1. Let x(a) be the first derivative of 0*a + 7\/2*a**2 - 7. Give x(b(r)).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n - 13*n + 3*n)*(-73*n - 21 + 102*n + 22) to the form p*n**2 + g*n + c and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708205852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o - 1305 = 23*o - 22*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/7 (b) 5 (c) 1726 (d) -0.4 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s - 97 = -5*p, -69 = -3*s - 3*p. Let c be 2 + -1 - -2 - s. Let a = -9 - c. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2*t**5\/5 + t**4 + 8*t**3 + 14*t**2 + 10*t - 90. Determine x, given that m(x) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 - 6*f - 2. Let a(i) = 4*i**3 - 14*i**2 - 17*i - 5. Calculate -4*a(y) + 11*k(y).\nAnswer: -5*y**3 + y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117245 and 655.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -31. Put 4, 1, m, -4 in decreasing order.\nAnswer: m, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 41. Suppose 5*p - 279 + w = -4*c, 3*c = p + 142. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/43, 2\/57, 1, -0.4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150022*q**2 - 61967*q?\nAnswer: 300044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/7704 and 29\/6.\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8fd8 - 4?\nAnswer: -8fdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*z + 2*i, 5*z + 5*i - 3*i = 31. Let v(c) = -2*c + c + 1 + z*c. Let u be v(-1). Let d(y) = -y**2 - 7*y - 6. What is d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3721 + 3719. Let n = 370\/77 - 56\/11. Sort w, -4, 0.2, n in increasing order.\nAnswer: -4, w, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 11 = 64. Solve 2*v = -v + i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 254916.\nAnswer: -1\/63729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26569232*g*x**3 - 3*g*x**2 + 518880337*g*x + 2*x**3 wrt x.\nAnswer: 159415392*g*x - 6*g + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-105420)\/(-12320))\/(-251))\/((-3)\/(-2))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 10. Let x be v\/20*(-8)\/5. What is the smallest value in 0.1, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*t**2*u**3 + 2*t**2*u + 2*t*u**3 - 64*t + u**2 wrt u?\nAnswer: 1530*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w - 1136 = 508 + 433. Solve w = -26*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 + 2*a**3 - a**2 - 7*a - 1. Let g be t(-6). Let y(j) = -j - 13. Let p be y(-9). Put 1, p, g in descending order.\nAnswer: g, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 96*h + 198. Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*m - 2179 - 2131 + 4127 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b + 354760780*b**2 - 354760778*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -22.9.\nAnswer: -297.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*p + 2331 = 213*p. Let v = -207 - p. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/120 + 21\/36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 2.5. What is the closest to b in 0.1, 3\/2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*(-72)\/12. Let o(d) = d - q*d - 3*d. Let s(w) = -15*w. Calculate s(o(z)).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254979 + 254643 = -28*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -91*d + 88*d - 2*x, 0 = -3*x - 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 721014 and 14.\nAnswer: 721014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 167\/4 (b) 0 (c) -0.1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2. Suppose 3 - 26 = 4*g - 5*b, 0 = 5*g - 2*b + 16. Let n be (1\/g)\/((-6)\/36). Let k(t) = 1 + 2 - 2*t - n. Determine j(k(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-1))\/(2\/(-2)))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-561))\/((-1190)\/19635)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*b**3*i + 198389*b**3 - b**2*i - 4*b**2 + 14772*b wrt b?\nAnswer: 108*i + 1190334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.7. Suppose 0 = 5*z - z - 36. Let w be (-3)\/(3 - z\/(-2)). What is the closest to w in x, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 - 1278*y**3\/5 + 2468*y**2\/5 + 107544*y\/5 - 91872 = 0.\nAnswer: -10, 6, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 351 + -270. What is the greatest common divisor of 1134 and m?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 9*p**2 - 5*p + 4. Let c be s(5). Solve -5*r + r = c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -204557*j + 106762*j + 106698*j in the form g + q*j and give q.\nAnswer: 8903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 325*u + 20 = -5*t - 321*u, 4*u - 28 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d - 87. Let c be (-8 - 0\/(-8 - -6)) + 1. Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191398836 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-49302)\/2244 + 2\/(-68)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -15 (b) -1\/2 (c) -4 (d) 30 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1153, 2620, 4675, 7318, 10549?\nAnswer: 14368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/30 + 28\/10. Let v(s) = 36 + q*s - 36 - 9*s. Let j(t) = -2*t. Let a(z) = -z**2 - 3*z. Let l(r) = -2*a(r) + 3*j(r). Determine v(l(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 110980485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 142 + 1 + (80 - 171)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 11*h. Suppose h = 2*r - 10*r + 1064. What is the remainder when r is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 1. Let s be m(2). Let j(y) = -2*y + 6*y - s*y. Let g(a) = 4*a. Calculate g(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g - 97. Let d(c) = 47*c - 180. Give -3*d(x) + 5*v(x).\nAnswer: -21*x + 55","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 9*j**2 + 12*j + 34. Calculate l(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*f - 1 - 1, o = -2*f + 11. Suppose 4*r = g - 14, 0 = -f*g + 2*g + 5*r + 40. Find the third derivative of -3*k**6 + 2*k**6 - k**g - k**2 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3920?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183.79 - 0.07.\nAnswer: -183.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/(g**(-4)\/g))\/(g**(-2\/5))**(-2\/21) assuming g is positive.\nAnswer: g**(937\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 4)\/5*2. Let k be 35\/10 + q\/4. Suppose -877976 = -k*f - 4507976. Round f to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.14 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 29*t**2 - 18. Give v(29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/315*-35)\/((-12)\/162)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.6 - -13.4. Let t = 34 - d. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32781, -32785, -32789, -32793, -32797, -32801?\nAnswer: -32805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5563*h**3 - 2*h**2 - 303 wrt h.\nAnswer: -33378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g + 57. Let t be n(6). Suppose 23 = 5*v - 0*v + t*r, r + 3 = v. Let y(z) = 5*z**2 + 0*z + 4*z - z**3 - 12*z - 1 + 4*z. What is y(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/252799 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - (-46)\/14. Let l(a) = 7*a - 4. Let v be l(d). Suppose -3*b - 4*x + v = 0, -5*b - 3*x + 33 = -x. Solve -t = -3, -5*t - b + 26 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666641 + 666642. Let t(a) be the third derivative of a**5\/30 - a**4\/12 + a**3\/6 + a**2. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 20 = 0. Let i(w) = -w**3 + 8*w**2 + 11*w - 13. What is the remainder when ((-26)\/r)\/(9\/(-18)) is divided by i(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 12 = 3*c, 0 = -4*x - 3*c + 16. Find the third derivative of -11*l**2 + 9*l**x - 3 + 3 wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206415 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + (sqrt(2299) - (1 + (sqrt(2299) - (sqrt(2299) + -1*sqrt(2299)) - sqrt(2299))) - (6*(sqrt(2299)*-2 - sqrt(2299)) - sqrt(2299))) + -1)**2.\nAnswer: -880*sqrt(19) + 919604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1405423503 (base 6) to base 7.\nAnswer: 265020114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Suppose -p = 1, a + p = g + 2. Solve -4*v + a*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*o)*(-2 - 2 + 6) - 5*o + 0*o + 3*o)*(-4*o**4 + 6*o**4 + o**4).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-20))\/((-11)\/88).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/24 - g**2 - 2. Let w(k) be the second derivative of p(k). Let b(s) = 2*s - 5*s + 2*s. Determine w(b(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 4*w**2 - 2007 + 5*w**2 + 2006. Let g(c) = 3*c**2 + 6*c - 5. Give -g(t) + 5*i(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 12*z**2 - 1866*z - 9. Determine g(-23).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 71214.\nAnswer: 1\/35607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -27. Let u(r) = r**3 - 5*r**2 + 5*r + 6. Let c be u(6). Suppose -4*l = -3*g + c, -k*g + 3*l + 96 = g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -16*m + 10*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-2)\/9 - (-110)\/90). Let f be 2\/(-6) + p*(-1)\/(-15). Suppose f = -25*g + 20*g + 285. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13037640 by 25564.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c**4 + 514*c**5 - 1024 - 30*c + 12*c + 3*c**4 + 1014 wrt c.\nAnswer: 10280*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1831180*s**2. Let q(g) = 2*g**2. Calculate q(z(p)).\nAnswer: 6706440384800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/24)\/(323\/9044))\/(-2)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -35*v**3 + v**2 - 71*v - 443. What are the prime factors of m(-6)?\nAnswer: 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.834544 - 85237.\nAnswer: -85236.165456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 726\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 266*l**2 + 4. Let j be d(-7). Let i = -182621\/14 + j. Calculate the common denominator of 71\/10 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2152)\/(-352) + -7 - (-7)\/(56\/(-6)). Which is bigger: -0.302 or t?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 0.93. Let w = 80.88 + -83. Let j = 0.12 + w. What is the closest to 2 in l, j, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/((-4)\/2). Suppose j = 5*w - 4 - 36. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 0 + 3 + -3. Suppose 4*o = b*o + 44. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1589*d - 1587*d - 16 = 2*b, -d - 2*b - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:54 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298071, 596123, 894185, 1192263, 1490363, 1788491?\nAnswer: 2086653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.3 - 0.3. What is the smallest value in 2\/9, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*s**3 - 16 - 560*s**3 - 20)*(-s**2 - 2*s**2 + 2*s**2).\nAnswer: -s**5 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 90. Suppose 0 = -b - 3*i - 51, i - j = -0*b + 2*b. Calculate the remainder when (-1)\/(2 - b\/(-19)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696211.\nAnswer: 7696211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let o(u) be the second derivative of 8*u + 1\/3*u**4 + 0 + 0*u**3 + 0*u**2. What is o(x(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*k**2 + 2*k**3 + 674*k**2 - 2686*k**2 + 668*k**2 + 676*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from babbaabbabbabbbbbab.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03432 - 0.4\nAnswer: -0.43432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -30. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13940 and 7872?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*l = -2 - 23, -4*l = -3*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 8*x + 2019 = 4*j, -3016 = -6*j - 2*x. Is 501 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360*n**2*s + 2*n**2 + 11509*n*s - s - 4032485 wrt n?\nAnswer: -720*n*s + 4*n + 11509*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -115. Solve -3*y = -n + 10, -q*y + 10 = 3*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.4, -39\/4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1035.067ml to litres.\nAnswer: 1.035067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*v**3 + 11*v**2 - 11*v + 9171?\nAnswer: 54*v**2 + 22*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2273 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 4738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-54) - (-2993)\/1845.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1866 = -2*a, -2*r - a + 9285 = 3*r. Calculate the remainder when r is divided by 615.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -104393995*b - 303303510 wrt b?\nAnswer: -104393995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 22139*j + 6. Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4260 - 1270. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/7))\/(l**(2\/25)\/l))**(15\/7) assuming l is positive.\nAnswer: l**(933\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58302.\nAnswer: 2, 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*h**3*w - 3*h**3 + 6*h**2 + 22*w wrt h?\nAnswer: 354*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 14}. Give prob of picking 1 h and 2 a.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -6) + 2 + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.089 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k + 2*k. Let j(l) = -18*l - 22. Let x be j(-7). Let t = x - 103. Solve v + t + 2 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -13. Calculate the least common multiple of 16 and (-1 - (-4)\/(-6))*o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7320 + -7319. Which is the fifth biggest value? (a) 5 (b) t (c) 17 (d) -3\/2 (e) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15211904879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + z + 2*z - 159 = 0, 0 = -3*o + 5*z + 75. Suppose 3*y - 6 = o. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 24)*(8*v**5 - 14*v**5 - 7*v**5).\nAnswer: 312*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/3*(87\/12 + -5). Suppose -k*q + 280 = 100. Does 40 divide 1*q*(-144)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/11)\/((k*k**(-17\/3)\/k*k)\/k) assuming k is positive.\nAnswer: k**(172\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*r + 4 + 9 = 0, -2*m - 26 = -3*r. Let a = -11 - m. Find the third derivative of a*q**4 - 6*q**2 - q + q wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(7\/56). Let s be (-249)\/(-27)*(-47 + h). Let y = 397 + s. What is the nearest to -0.1 in y, 4, -4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(0 + 0 + 2*u**4) + (2*u**3 + 0*u + 0*u)*(-6*u + 4*u + u) + 5*u**4 + 1119*u - 1119*u.\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.04 - -1. Let h = u - -0.44. Let i = 1 + -5. Which is the third biggest value? (a) h (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 2*u**4 - u**4)*(2 - 1 - 2) + (-u - u + u)*(10*u**3 - 1 - 202*u**3 - 42*u**3).\nAnswer: 231*u**4 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 56 (c) -37 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147003 + 23*z**3 - 2147003 - 10*z**3 - 159*z**3.\nAnswer: -146*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/12*r**4 - 7\/3*r**3 + 0*r - 17*r**2 + 0. Let v be b(-13). Solve 4*h = -2*w + v, -2*h = -w + 5*w - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62930 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1805, -7189, -16159, -28715, -44857, -64585, -87899?\n\"Answer: -1793*c**2 - 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 46*q + 5*a - 240 = -85, 2 = -2*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 942433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/572 and 29\/3796.\nAnswer: 41756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 14\/67 (b) 82\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**1\/o)**35\/(o**(-1)\/(o*o*o\/o**(1\/5))))**(-1\/57) assuming o is positive.\nAnswer: o**(-123\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000071351293 rounded to seven decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-185)\/(-37)*(4\/(-8) - (-3)\/5). Let l(u) = -1 + 2 + 2 - u. Let r be l(0). What is the fourth biggest value in i, -2, -0.4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 (base 15) in base 16?\nAnswer: 40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-15)\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487220, -972424, -1457628?\nAnswer: -1942832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 24 + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*j - b - 3, 2*j + 5*b = -7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u**3 - 3*u**2 + u + 1. Let t = 87 + -151. Let d = t - -65. Let n be h(d). Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r + 7 + 4*r - 4*r**2 - 7*r. Let c be j(5). What are the prime factors of ((-6)\/c)\/((-6)\/42)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 2 + 0 + 1 + j**2. Suppose 5*f - f = 16. What is v(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142309167.\nAnswer: 3, 7, 11, 13, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -146*n - 349*n - 80144 + 75244 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29901?\nAnswer: 3, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4365?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29700 and 6300.\nAnswer: 207900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 75. Sort 1, 4, -4, n in descending order.\nAnswer: 4, 1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -1799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 5466489 and 38265420\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2873\/4 + (-11)\/44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.157, 1\/5, 0.16, 5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 120 = -244. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21587 + 21586.78751. Round n to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13864 is divided by 1058?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.63 and -68744.887?\nAnswer: 68738.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 246332?\nAnswer: -246305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 16) to base 7\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7 + 5*b**2 + 3*b - b**2 + 2*b**3. Let r be z(-5). Let a = -23 - r. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Suppose -z + 168 = k*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -691308*s**2 + 45249*s + 10.\nAnswer: -1382616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17705 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 12*a + 3. Let j be f(-13). Suppose -j = -4*q - 0. What are the prime factors of 15\/q*32\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/317032 and 55\/6890277.\nAnswer: 1267810968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -51854951*g. Let a(w) = w. Give f(a(z)).\nAnswer: -51854951*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1334.\nAnswer: -7\/1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1407 and 5025.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 160 + 282 = -1067. Suppose 2*p + 2*q - 76 = 0, 4*p - 87 = -2*q + 55. Let r = l - p. Put -1, 5, r in descending order.\nAnswer: 5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/57, 2, 148, 1\/2, -1 in increasing order.\nAnswer: -1, 2\/57, 1\/2, 2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 2. What is the remainder when (-254)\/(-6) + r\/(-3) is divided by ((-22)\/(-3))\/(2\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3649 divided by 3\nAnswer: -3649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/3)\/(-1) - -375. Suppose -g = 4*z - b, 5*z + 0*g + 5*g = 475. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/5167 - 392638\/46503. What is the common denominator of -71\/12 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2 - 3*o + 5*o)*(o**3 - o**3 + 3*o**3).\nAnswer: 6*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 2\/5, 2731, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 33*i**3 - 4*i**2 - i + 4. What is f(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/47 (b) 0.5 (c) 1 (d) 56\/25 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1632 - 1633.655. What is y rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 148908 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -274443 + 1?\nAnswer: -274442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -131, -192, -183, -104?\n\"Answer: 35*i**2 - 166*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 544 + -394. Suppose 220 - s = 7*w. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6761377?\nAnswer: 7, 139, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373 (base 10) to base 4.\nAnswer: 11311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 6.\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3033 (base 4) to base 6\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:41 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 5, o: 1}. What is prob of picking 1 f and 1 k?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6231042 and 2988?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78699 - 8?\nAnswer: -786a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -5*i, -d + 4 = 3*i - 7. Suppose 4*t - t - 74 = -2*r, i*t = -2*r + 70. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**6\/z)*z*z**(-2))\/(z*z*z**(2\/9))**(-29) assuming z is positive.\nAnswer: z**(535\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57656475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 - 49. Calculate the remainder when g is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2437677.416 - -2437405.4159778. Let o = -11602 - -11874. Let u = m + o. Round u to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 - (6 - 231\/22)*-2. Solve 0 = h*y - 6*y + 30 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -5*c**4\/24 - 4*c**3\/3 - 19*c**2. Let d be j(-2). Suppose -4*h = -o - 2, -1 - 3 = -3*o + d*h. Solve -6 = -o*f - 0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-15)\/(-17) + 418\/3553. Suppose 37*j - 35*j + 2 = q. Put j, 3, -4, 14 in increasing order.\nAnswer: -4, j, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/((-5)\/(-88)))\/((-15)\/(-45)). Let s = b - 241. Calculate the remainder when 158 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from pfcffpvvc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -323 in 2\/3, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*l + 63 + 51. Suppose l*q + y - 10 = -2*q, -2*q + 4 = 3*y. Solve -4*f = -q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 2212?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/((78\/(-12))\/(-13)*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b - 5*b + b. Let k be s(2). Let p(z) = z**3 + 140*z**2 + 795*z - 1194. Let l be p(-134). Solve -k*w + 2 - 16 = 2*o, -2*w + 4*o - l = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let b be (3 - 4)\/(v\/15). Suppose 0 = -5*w, f - b*w - 4 = 4. What is f rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8*(-516)\/(-9). Let c = d + 91. Suppose 1 = 4*a - 3*a. Sort -3, c, -1, a in decreasing order.\nAnswer: c, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 - 324?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4911425*u**3 - 29*u**2 + 60666*u?\nAnswer: -29468550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/80910 and -37\/106082?\nAnswer: 4773690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -650 + 591.05. Let p = q + -1.05. Let z = p + 59.99999938. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50996 + 47942 = 74*f. List the prime factors of f.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 1 + 3*n**3 + 14*n - 14*n. Let q be p(1). Factor -2*y**2 - q + 7*y**3 + 2.\nAnswer: y**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 3*2*sqrt(133))\/(2*(sqrt(7) + sqrt(175))))**2.\nAnswer: 931\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/11))\/(s**(2\/29)*s) assuming s is positive.\nAnswer: s**(94\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**2 + 4*w + 5. Let l = -7892 + 7896. Give d(l).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517607 - 1035226 + 517619 - 3*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-20)\/30)\/2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s**3 - 1\/2*s**4 + 3\/40*s**6 + 0 + 0*s + 0*s**5 + 23*s**2. 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: Calculate 0.24 + 54.6.\nAnswer: 54.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 11*o - 220. What is the remainder when 340 is divided by o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1023203221?\nAnswer: 1023203210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 3)*1 + 3. Suppose z = 3*z + 10. Let y be 2\/2*(-10)\/z. Solve 0*p - 2*p - y = a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 + -198. Let g = 8 - 7.98. Which is the smallest value? (a) g (b) -2 (c) u (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 20*c + 41. Is d(-22) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*h - 27, -3*f + 4*f - 12 = -h. Let y = f + 15. Solve -y = -5*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 3, k: 1, b: 2, r: 11, q: 1}. What is prob of sequence ynqn?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19\/(95\/25) + 8127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (10 - (-10)\/(-2)). Suppose 0 = -2*u + q*j + 456, -5*u = 10*j - 13*j - 1168. List the prime factors of u.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 8*j - 43, 5*j = -3*d - 5 + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 + 68*n**2 + 394*n + 31. Calculate m(-7).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12)*2)\/((-35)\/14).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (20 - (-4 + -18 + 13)) - (-4 - 1)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by 6.\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 452 - 459 - ((1 - -38) + 1 + 1 + -2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let q be 2*(i + 1) - -3. Solve -2*l - q = 5*r + 7, -2*r - 8 = 2*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:07 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.0587 (c) -32 (d) 3\/5 (e) 2\/7 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3\/20*k**5 + k**4 + 3*k + 3*k**2 + 0 + 5\/2*k**3. What is j in a(j) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*s + 5582 - 11955 + 5176 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 4024558080.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*((s\/(s*s**(2\/15))*s)\/s)\/s)\/(s\/s**12))\/(s*s\/s**(-1\/4)*s*s\/(s\/(s**(3\/4)\/s))))**(-43) assuming s is positive.\nAnswer: s**(-5074\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21245, -42315, -63381, -84443, -105501, -126555?\n\"Answer: 2*m**2 - 21076*m - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00247879935 to 7 decimal places.\nAnswer: -0.0024788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - 25. Let s be q\/(-6) - (-4)\/6. Suppose 5*c - s = 23. Solve 0*u = -2*u + c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)*z\/((z*z\/(z\/z**5))\/z)*(z**1)**(-13\/2) assuming z is positive.\nAnswer: z**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -134643.39?\nAnswer: 134643.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.299889 years?\nAnswer: 0.04299889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 304*x**2.\nAnswer: 4*x**2*(x + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -82. Let c be 1 - (0 + 110\/f). Let y(m) = -2*m**3 - 13*m**2 - 23*m - 5. Let p be y(-3). Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 6 - 1 = 0, -4*r + 6 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103975, 103978, 103983, 103990?\nAnswer: 103999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534335123 (base 6) to base 7.\nAnswer: -143230233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(6) + sqrt(112)*2 + sqrt(112))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 20*s**3\/3 - 3755*s**2\/3 - 940*s\/3 = 0.\nAnswer: -1\/4, 0, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3814984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 - (3 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*s + 50 = 0, -q + 2*s = 3*s + 6. Let m be q\/2 - (6 + -16). Find the first derivative of -2*l**4 - m*l**4 + 6 + 5 - 3 wrt l.\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1793, 5 in descending order.\nAnswer: 9, 5, -1793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**4 - 3*l**3 + 371.\nAnswer: -4*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -374606*w**5 - 4475*w - 8.\nAnswer: -7492120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 4)*(-2*y + 2 - 2)*((3 - 4 + 2)*(20 + 19 + 55) - 3 - 4 + 4).\nAnswer: 2002*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/561)\/(2\/9*-3)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 + 0.2. Let w(y) = -1 + 3*y - 4*y - 3 + 2*y. Let p be w(5). Which is the nearest to p? (a) -5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) + (37920\/(-54))\/(-4). Let c = 176 - r. Put c, -0.3, -0.09 in increasing order.\nAnswer: -0.3, -0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664880700 rounded to the nearest 1000000?\nAnswer: -665000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - j - 30 - j**2.\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let k be -2 + (-2 - 45\/(-12)). Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -152, -233, -314?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 345840570 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*h**3 + 5 + (-3 + h**3 + 3)*(-3 + 3 - 2) - 2*h**3 + h**3 + 2*h**3 + 2*h**3 + 4*h**3 + h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-5))\/(1\/15). Is (136\/(-6))\/((-2)\/p) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -5. Suppose 4*i = -4*m, 0 = 4*m + 2*i - 5*i - j. Suppose m*b + 2 - 53 = 0. Does 18 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 27*x + s = 5, -3 = 3*s - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 13. Let j(h) = h**3 + 5*h**2 - 3*h - 2. Let x be j(-3). Suppose -3*p + 8*p = 5*b + x, -2 = -a*b - 4*p. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28186058*y**4 + 24412115 wrt y?\nAnswer: 112744232*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 4353572\nAnswer: -5\/2176786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33124716 to the nearest integer?\nAnswer: 5755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + (sqrt(49)\/(sqrt(42)\/sqrt(6)))**2 - sqrt(847)*-3) + ((sqrt(448) + 0 + sqrt(448))*-5 + 3)**2.\nAnswer: -446*sqrt(7) + 44814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q - 63*q = -56. Suppose 2*w = -4*p - 156, -9*w = 3*p - q*w + 119. Is p at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 5*l**2 - 73*l - 774. Determine o(-7).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -409890292 divided by 15022\nAnswer: -27286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031999911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8587 in -8, 0, 474, 4?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(-12) - 9 - 6\/(-120). Which is the second smallest value? (a) j (b) -5 (c) -0.3 (d) 439 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -31, -49, -71, -97?\n\"Answer: -2*b**2 - 8*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*a - 4 + 15, 0 = -a - 2*i - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/96*1*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2970\/17 (b) 3\/4 (c) -4.177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 3*z + 3. Let o(w) = 3*w + 2. Let f(h) = 2*h + 1. Let n(r) = 5*f(r) - 3*o(r). Let x(q) = k(q) + n(q). List the prime factors of x(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50335560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 6. Let u be m(-6). Let k(a) = -10330*a + 20. Let z be k(u). Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*i + 14. Let w = 63 - 253\/4. Which is the nearest to -1\/4? (a) -4 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -522*u**2 - 225*u + 821. Differentiate m(z) wrt z.\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 189 in -2\/1421, -3, -6?\nAnswer: -2\/1421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 - 7*z. Let a = 249 - 244. What is p(a)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5591 - 27*t + 27*t - 5582 - 48*t**2 + 440*t**2 as x + b*t + z*t**2 and give z.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s + 1. Let v be z(1). Let p(c) = c**3 + 3*c**2 - c - 2. Let g be p(-3). Let t be (-1)\/g*(-7 + 7). Is t less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -8. Let q(d) = -3*d + 2 - 2*d**2 + 0*d**2 + a*d**2. What is the units digit of q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -40*u - 168. Let m(r) = r**2 + 5*r + 4. Calculate m(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55530 and 9872.\nAnswer: 444240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.001, 5, -959, 1\/7 in descending order.\nAnswer: 5, 1\/7, -18.001, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 19 + (20 - 67)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 422.\nAnswer: -5\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(13*13\/169)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534, 1068, 1598, 2124, 2646, 3164, 3678?\nAnswer: 4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y - 9. Let g be l(-4). What is the nearest to 5 in g, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {o: 1, x: 10, h: 3, t: 5, r: 1}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 23. Let y be z(-11). Suppose -y = -6*l + 26. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from wwnnwwwwww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2171*j - 946608. Give r(-436).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-20)\/(-9)))\/((-33)\/(-110))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23006.87 + 23007. Let r = -7 + 8. Is s <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/1240 and 29\/186?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -361 + -7776a?\nAnswer: -77b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.9903 micrograms in grams?\nAnswer: 0.0003009903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2448) + sqrt(2448) + -4*(sqrt(2448) + -5))*4)**2 + -2*sqrt(2448)*-4 + (sqrt(2448) - (-2 + -5 + sqrt(2448) - sqrt(2448))).\nAnswer: -15252*sqrt(17) + 163080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633801724?\nAnswer: 2, 158450431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykisyklv. Give prob of picking 1 l, 1 i, 1 k, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -97 and -88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -5*g**3\/2 - g**2\/2 - 163*g. Let c = 410 + -408. Calculate v(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.99. Let r = q - -0.29. Put r, 2, -1 in decreasing order.\nAnswer: 2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, -1, -1\/8, -35, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6 and 49\/86538.\nAnswer: 86538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 447*p + 49621. Determine m(-111).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 564 + -141. Let q(w) = 137*w**3 + 284. Let g(f) = -28905*f**3 - 59925. Let i(u) = o*q(u) + 2*g(u). Differentiate i(y) with respect to y.\nAnswer: 423*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539011584?\nAnswer: 2, 3, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t. Let i(r) = -10214*r. Determine i(q(z)).\nAnswer: 122568*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3179640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6589066929?\nAnswer: 3, 2196355643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(1\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 18 = 2*j, -3*q = j - 5 + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 v when three letters picked without replacement from issusvisu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6128, 6140, 6152, 6164, 6176?\nAnswer: 6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b**3 + 66*b**2 - 19*b - 26. Let c(u) = -7*u**3 + 32*u**2 - 9*u - 12. Give -13*c(h) + 6*t(h).\nAnswer: h**3 - 20*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010454 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9905 - 445694\/45. What is the common denominator of -73\/306 and j?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323\/2 + -162. Which is the biggest value? (a) l (b) -4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 270446*p - 1081752.\nAnswer: -2*(p - 135219)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 202*r - 539 - 617 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (48 - (34 + -20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1119 (c) 5 (d) 1\/122 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 703723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 619 - 423. Suppose -8*k = -h - 20. Suppose -y = 2*y - 42. What is the remainder when k is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37590280\/350 - 4\/5. What is g rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 245, 294, 363, 452, 561?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-8))\/(7\/(-56)). What is the second derivative of -3*h - c*h - 33*h**2 + 0*h wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 8. Let g(h) = -1. Let d(a) = -a**2 - 6*a - 8. Let q(i) = d(i) - 3*g(i). What is q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/5 + 53098*j**4\/5 - 318674*j**3\/5 - 74354*j**2 = 0. Calculate j.\nAnswer: -26555, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 - 5*r - 5. Let f(y) = y**2 - 2*y**3 - 24*y - 9 - 9*y**2 + 15*y. Let a(u) = -3*f(u) + 5*j(u). Determine a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 16*s**2 - 12*s + 23. Let j be f(-16). Let c(p) = j - 19*p - 215. Let l(t) = -2*t. Give l(c(n)).\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h. Determine j(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-34))\/(23\/(-92))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 3*w - 171. Is j(-23) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 7 + -8)*46\/4. Factor d*p**4 - 2*p**5 + 8*p**4 - 15*p**4.\nAnswer: -2*p**4*(p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5248*d**2 + 5245*d**2 - 1 + 2 - 666*d.\nAnswer: -3*d**2 - 666*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3\/2*y**2 + 0*y**3 - 3 - 1\/6*y**6 + 0*y + 0*y**5 + 0*y**4. Find the second derivative of g(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*38\/171*6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/120 - p**5\/20 + p**4\/12 - 2*p**3\/3 - 4*p**2. Let g be c(-4). Solve i = g*q - 4*i - 2, -2*q = -2*i - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*p + 44*p - 62 - 1030 = 0. Let r(c) = 49*c - 6. Let l(a) = 6811*a - 833. Give p*l(b) + 833*r(b).\nAnswer: -49*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2417676\/77 - 31399. What is the common denominator of -2 - 26\/(-10) - (-7 + (-48984)\/(-5940)) and f?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -45. Calculate the remainder when o is divided by (-1 + -2)*20\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*o - 396 + 13 = 31 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6958 + -1)*3\/((-18)\/(-34))?\nAnswer: 3, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:50 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p - 3 = 0. Suppose 3*i - 6*i - 12 = -4*v, 2*i = -p*v + 9. Suppose v*s - 204 = -57. What is the remainder when s is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1766 and 26381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0220794 times 14.4\nAnswer: 0.31794336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -5*f + 11, -f = -5*r + 2. Sort r, -3, 0 in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + (-113 - -72) - 77.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57960 divided by 4.\nAnswer: -14490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 198, 698, 1496, 2592?\n\"Answer: 149*d**2 + 53*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 416, 834, 1534, 2612, 4164, 6286, 9074?\nAnswer: 12624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 27\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-2\/3))**(-1\/4)\/((n**(1\/4)\/n)**(-22\/9)*(n\/n**0)**17) assuming n is positive.\nAnswer: n**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-35)\/(420\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -121474, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 132 + 12*f**2 + 130*f**2 - 55*f**2. Let s(w) = 2*w. Give s(u(n)).\nAnswer: 348*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 137129 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 284075 divided by -2?\nAnswer: -284075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -23386.42 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**4 - 6*g**2 + 119*g**5 - 116*g**5 + 6*g**3 - 5 - 9*g + 2.\nAnswer: 3*(g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.854716 days to milliseconds.\nAnswer: 246647462.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.015 * -0.1\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28107, -28109, -28127, -28173, -28259, -28397, -28599, -28877?\n\"Answer: -2*v**3 + 4*v**2 - 28109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-510)\/(-22) - (-42)\/(-231). What is the greatest common divisor of p and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46130687?\nAnswer: 46130687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 799 = 28*a + 85. Solve 78*z - 162 = a*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*sqrt(405)*-5)*6)**2*-2 - -2*((sqrt(405)*-1 + 3 - sqrt(405))**2 + (sqrt(405) - (1 + sqrt(405))*-1)**2 + -5).\nAnswer: -722582 + 6336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689*p**3 + 14*p**2 - 12 wrt p.\nAnswer: 4134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3278, -3254, -3208, -3134, -3026, -2878, -2684, -2438?\n\"Answer: d**3 + 5*d**2 + 2*d - 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -58\/3*a**2 + 124\/3*a - 7\/3*a**3 + 40\/3 = 0.\nAnswer: -10, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/3)*t*(t*t**23)\/t*(t\/((t*t**(-1))\/t))\/(t**(-2\/11)*t) assuming t is positive.\nAnswer: t**(776\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10266151?\nAnswer: 7, 251, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19271421.\nAnswer: 3, 13, 17, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*u - 1205 = 4945. Sort 5, 0, -3, u in increasing order.\nAnswer: u, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 2395, 5180, 8859, 13306?\nAnswer: 18395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*b - 1, 5*z = -31*b + 32*b - 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 4*k**2 + 852*k - 16 - 428*k + 3*k**6 - 423*k. Differentiate b(r) with respect to r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 565356.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10445, 10441, 10437?\n\"Answer: -4*o + 10449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 900442401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 12*q**2 - 9*q + 1. Determine x(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -22*f + 534. Determine y(30).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/(p*p**(-6\/11)))\/((p\/(p\/p**1))\/p)**(1\/30))\/((p\/p**(-1\/2)*p)**(-48)*(p**(1\/3)*p)**0) assuming p is positive.\nAnswer: p**(1348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/5 - 333624*j**3\/5 - 24*j**2\/5 + 4003456*j\/5 + 5337984\/5 = 0.\nAnswer: -2, 4, 166812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -131 + -8d?\nAnswer: -1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 32*h**3 + 5*h**2 - h - 2. Let l be y(3). Is (l\/12)\/((-4)\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315862181*n*s - 146993461*s with respect to n.\nAnswer: 315862181*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**21)**(-7\/2) assuming l is positive.\nAnswer: l**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 313698609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 + 499. Suppose 2*z = -5*m - u, 2*m - 566 = 5*z - 2*m. Let x = -57 - z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -201, 8 in descending order.\nAnswer: 8, 2, -8, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhhyvrvhhehh. Give prob of picking 1 h and 1 r.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q**10*q)\/q)\/q**14)**(-32))**(1\/5))**(22\/7) assuming q is positive.\nAnswer: q**(2112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33755*v + 39718.\nAnswer: 33755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let k be n(5). Let r be (0 + k)*(-2)\/3. Let p = r - -4. Solve w - 3 = 5*x, 0*x + 8 = -3*w - p*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -47, -97, -167, -257, -367, -497?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*d - 43, -4*w - 4*d + 210 = -3*d. Suppose 2*x = 13 + w. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10790 and 57\/62660.\nAnswer: 5200780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 30*v**2 + 3. Let j(p) = -1726 - 14*p + 841 + 885. What is j(b(h))?\nAnswer: -420*h**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78072 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i. Let r(y) = -216345*y. Determine u(r(l)).\nAnswer: 1514415*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/3)*j**(-1\/2)\/j*((j\/j**1)\/j)\/j**(4\/5)*((j**(-1)\/j)**27)**(-43) assuming j is positive.\nAnswer: j**(69511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*m**2 + 11191 - 2*m - 11191.\nAnswer: 88*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 2. Let n be b(4). Suppose -3*r - 3 = -n*r. Let p be 5450\/6*(r + 119). Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3721.3 + 3720. Which is the smallest value? (a) -2\/13 (b) 5 (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3394308264.\nAnswer: 2, 3, 17, 179, 46477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*g**3*y**2 - g**3 - 22*g**2*y**2 - 2*g**2 - g*y**2 wrt g?\nAnswer: 474*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -33*r**2 + 22*r + 65. Determine q(-3).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n**(-2\/19)*n*n**(-4)*n**(-4))**(-1\/12) assuming n is positive.\nAnswer: n**(7\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 279198228981?\nAnswer: 279198228981.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 2597974.\nAnswer: 10391896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 735.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1175*a**5 + 2*a**2 + 997.\nAnswer: -70500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0*t**5 + 3\/4*t**4 + 0*t**3 + 0*t**2 - 19\/30*t**6 - 30*t + 0. Find the third derivative of m(i) wrt i.\nAnswer: -456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*3 - 16\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p. Let r be (-36 - -1)*(-2)\/5. Suppose -o = -p*o - m - r, 2*m = 3*o - 44. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (12 - (18 + -7 - 19)) - 17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2469 - 2467. Solve -x*n + 4*q - 2 = -0*q, -n - 4*q - 13 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -1\/6*k**6 + 0*k**4 + 0*k + 0*k**5 + 38\/3*k**3 + 0*k**2 - 4 - 13\/7*k**7. Find the third derivative of y(f) wrt f.\nAnswer: -1560*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -60, -16, 66, 198?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/11 and ((-4)\/12)\/((-73)\/(-57)).\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d + 33. Let a be r(0). Let k be (a\/(-15) - -3)\/(2\/5). Suppose 0*o + o + 295 = 4*c, 0 = -5*c - k*o + 372. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3120 - -120023130?\nAnswer: 120032310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - -69. Let x = r + -148.000256. What is x rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 2*i + 5. Let s be j(0). Let r be 8 - s - (-1 - -10). Let z be -3*r\/(-9) - (-2)\/3. Is 0.1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (4 - 6) - (-17 + 16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - g - 1. Let u(i) = 10*i**3 + 5*i**2 - 6*i - 6. Give -6*k(c) + u(c).\nAnswer: 4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 91. Let b = 2 + t. What is the greatest common factor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p + 80*p - 39*p - 4 + 4.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 4*(3 + -5). Suppose -n - z*d + 26 = 0, 3*n + 0 = d - 2. Suppose -3*f + n = -5. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9990 - 9973. Solve 10*f - 49 = r*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/((1\/(-3))\/(-1)). Let n = -192 + 217. Let z be n - (1 - 3 - 3). Calculate the highest common factor of g and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbbbjjbbb. Give prob of picking 2 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 + 4)*((-2727)\/(-24))\/9 and -11\/2350.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9.2, 0, 5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.3516 litres in millilitres?\nAnswer: 592351.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -1, -373, -129, -32.\nAnswer: -373, -129, -32, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 832, 1922, 3476, 5512, 8048?\nAnswer: 11102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 3 + 4*n**2 - 2*n - 6*n - 10*n. Let v be r(10). Calculate the highest common factor of 170 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49388.03cm in meters?\nAnswer: 493.8803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 2*g - 2*g)*(-2*g + 2*g - 2*g**3) + 11*g**4 - 11*g**4 + 40*g**4 in the form d*g**4 + t*g + l*g**2 + f + x*g**3 and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**2 + 0*d**3 + 0 + 7\/12*d**4 - d. Let h(u) = -u**2. Calculate -6*h(p) - j(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 - w - 2. Determine n(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 6*s + 6. Let k(n) = 2*n**3 + 1. Let t be k(2). Let i(r) = 14*r + 6*r**2 - 10*r - 6*r + t + 19*r. Give 8*c(x) - 3*i(x).\nAnswer: -2*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -2\/15*p**5 + 0*p + 0 + 5*p**2 + 0*p**3 + 1\/24*p**4. What is the second derivative of o(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*y - 14984, -4*y + t + 539 + 14437 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4956419695 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412 and 244.\nAnswer: 25132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**4))**(2\/9))**(-36) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1521.9999063 - -1522. Round q to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(76)\/sqrt(4) + -5.\nAnswer: -10 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 19 + 43 - 2929*w**2 + 983*w**2 to y + x*w + u*w**2 and give u.\nAnswer: -1946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901825 < 1901825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 = 23, 0 = h - 3*r + 13. List the prime factors of h - 76*(2 - 19).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/3*(-22)\/(-88)*(-4428)\/108?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 4*i - 1. Suppose -296*m - 80 = -280*m. Let a(f) = -f**2 - f. Determine m*a(p) - r(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, k: 5}. What is prob of picking 1 k and 2 a?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 35724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 2*q**6\/15 - 2*q**5 - 4*q**4 + 20*q**3\/3 + 22*q**2 + 4*q - 1. Suppose y(i) = 0. Calculate i.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292857?\nAnswer: 3, 31, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510 + 22)*(-104)\/988?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 7. What is the biggest value in 90, -4, v?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 4*m + 1\/3*m**3 + 0 + 0*m**2 - 1\/120*m**5 - 1\/12*m**4. Let b(k) be the second derivative of o(k). Calculate b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -448 + 447.8896. Let z = j + 0.0104. Which is bigger: -314 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1543 = 3*k - 4*c, k - 52 - 474 = -c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**0))**(-3\/14))**(-11\/3) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from ugiko.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069987701 divided by 3?\nAnswer: 356662567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 2*n - 15. Give f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 50.1489 and 697.\nAnswer: 747.1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0871*0.1128.\nAnswer: -0.00982488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 7*s - 4*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -263b36 - -6?\nAnswer: -263b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*k + 276 + 893 = -23*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114936726?\nAnswer: 2, 3, 37, 517733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 45, 86, 149, 240, 365?\n\"Answer: k**3 + 2*k**2 + 12*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -52. Let r(b) = 2*b**2 + 21*b + 15. What is the remainder when 19 is divided by r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5132\/55 - 462\/5. Let p = -13\/22 - h. Do 0.1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117338 or 117341?\nAnswer: 117338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b + 12 = -65*b - 3*n, 0 = 2*b - 3*n - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 26 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 885 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-3 + sqrt(17) + sqrt(17) + sqrt(17) + 2 + sqrt(17) + 5.\nAnswer: -8*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 11, r: 7}. What is prob of picking 1 r and 1 g?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 6*n - n)*((-61 + 63 + 26)*(5 - 6 + 6) + 1 - 1 - 1) + 3*n - n - n.\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -18*q - 700. What is j(-42)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43890 + -43007. Calculate the remainder when 2671 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:29 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11220091.\nAnswer: 11220091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 10. Suppose f*b = -2*b. What is the first derivative of q**3 - q**3 - 2 + b*q**3 + q**3 wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 + -141. Solve 3*x = m + 2*m - 15, j = 5*x + 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/7 + 120*v**4\/7 + 150*v**3 + 2500*v**2\/7.\nAnswer: 2*v**2*(v + 5)**2*(v + 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1691.\nAnswer: -3\/1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) 0.0625 (b) -2 (c) 0.4 (d) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -2*p**3\/3 - 3*p**2\/2 - 2*p. Suppose -l + 14 = -3*z, 32 = -4*z + 3*l + l. What are the prime factors of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 19. Suppose -k*h + 4*h = 2. Is ((-3)\/(-12))\/(h\/1112) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h, 16*x - 17*x = -h. Suppose x*m + 3 = a, -3*m = -3*a + 6 + 15. What is the remainder when 54 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(23\/4))**(22\/7)*(m**(4\/7)*m\/m**(-1\/4))**43 assuming m is positive.\nAnswer: m**(2193\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6660)\/210*(-16 + -5). Calculate the highest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 11 - 11) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03847? (a) -2\/27 (b) -1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/(-6900)*(-70)\/(-49).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8379251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1681 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*y**3 - 472*y**3 + 169*y**3)*(8*y + 1 - 1) as z*y**4 + h*y**3 + w*y**2 + p*y + f and give z.\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086609422 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-8 + 12)) + (22 - -8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/315 + q**6\/75 - q**5\/30 - q**4\/30 + 4*q**3\/45 - 123*q. Solve s(i) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 57. Suppose x*d = 10*d + 108. Calculate the highest common divisor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9282 + -0.914. Round n to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 20*i**4 + 4334*i**3 + 7240*i**2 - 15026*i + 5160 = 0.\nAnswer: -215, -3, 1\/2, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.043.\nAnswer: 0.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717 or 22133?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**3 - 3 + (0*q + q - 2*q)*(6*q**2 + 0*q**2 - 4*q**2) - 7 - 32 + 39 + 1641*q**3 + (-q**2 - q**2 + 3*q**2)*(-q - q + 4*q).\nAnswer: 1639*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 + -10)\/(2\/22). Let b = d + -76. Let q(p) = 13*p**3 - 5*p + 4. Calculate the least common multiple of 24 and q(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 130\/20*12\/1. Suppose -2*f - x = 3*c, -2*c + 68 = -3*f + f. Find the common denominator of ((-100)\/(-18))\/(96\/f) and 31\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852833089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 >= -441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5991348, 5991347, 5991346, 5991345, 5991344?\nAnswer: 5991343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + w**4 - 2*w**3 + (-w**2 + w**2 + 2*w**2)*(9*w**2 + 8 - 8)*(5 - 3 + 3).\nAnswer: 91*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 7*l - l - 3*l - 3 + 2*l**3 + 14*l as m*l**2 + w*l + s + a*l**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 175 = -0*h. Let s = 66 + h. Calculate the greatest common divisor of 279 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egv when three letters picked without replacement from {e: 1, g: 1, v: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 - 7*w + 3. Let d be x(6). Let z be 4\/d*3\/(-2). What is the first derivative of -r**3 - 4*r**3 + 3 + z*r**3 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 + 62*b**2 - 33*b + 47. Let s be p(15). Solve 8*y - 4*y - 10 = 2*i, -s*y - 3*i = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34f6a (base 16) to base 11.\nAnswer: 138a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 22 = -4*g - 2, -3*c - 3 = 3*g. Let a(k) = -5*k**3 - 9*k**2 + 3*k + 1. Let t(o) = -o**3 - o**2. Let d(n) = -a(n) + 4*t(n). Is 14 a factor of d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 1. Let g = -44 - -45. Let a be t(g). Suppose -f = -6*f + 15. Solve -f*p = -p + a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*a + 15*a + 52*a - 3 + 63*a + 3.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let f(k) = 33*k + 6. Calculate f(l) - 6*v(l).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 348 - 125 - 117 + 2*p - 7*p**2 - p**3 - 127. Suppose -o = 5, -4*x - o = o - 406. What is the remainder when x is divided by t(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32980355*l**2 - 159272918 wrt l.\nAnswer: -65960710*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -1\/2165 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1660 - -1664. Let b(w) = w**3 - 2*w**2 - w - 4. Let g be b(3). Solve i*f + 10 = -g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1419961.\nAnswer: -5679844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 4. Let h(o) = -o**2 - 5*o + 3. Let v be h(-5). Suppose -6*l + 115 = -l. Solve -c + 3*c - v*i = -l, n*c = 3*i - 31 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790\/7250 + (-2)\/(-250)*-5.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 e, and 1 u when three letters picked without replacement from ecieiuceujeieed?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-5403)\/(-4))\/(-15*4\/(-160)). What is x rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Is m(14) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21860 - -0.0042717495.\nAnswer: 21860.0042717495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130705640 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*c - 30. Calculate the least common multiple of -1 + 1 - (-32)\/2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)*a)\/a**(-10))**(-1)*(a\/(a*a**(-1\/4))*a\/((a*a**2)\/a))\/(a**(3\/5)\/a*a*a\/(a\/a**(-3\/5))) assuming a is positive.\nAnswer: a**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 551 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -17.01. Let m = -1.01 + t. Let g = 0.31 - -0.09. Which is the closest to 2\/3? (a) m (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Suppose w = 2*q + h - 0, 4*w = 3*q + 8. What is the derivative of -a**2 + 1 + w + 0*a**2 - a**2 wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 10*q + 68. Let b = q + -17. What is the remainder when 65 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Suppose c = -y - u + 2, 9*y + 30 = 4*y + 5*u. Let o be -63*(y - 0 - -1). Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 11. What is v(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1082 - -1092. Suppose 15 = 2*f + 3*f. What is the first derivative of 2*r - f - 9*r + 2*r - i*r wrt r?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42668 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*d - 30 = 0, -4*u - 2*d = -42 - 8. Solve 6*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2. Let f(a) = -2*a - 3. Suppose -h = 4*h - 20. Let k(t) = -3*t - 4. Let x = 7 + -10. Let o(j) = h*f(j) + x*k(j). Determine o(z(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -17*p**2 - 9*p - 2. Let d = 8 - 11. Let h = -9 - d. Let z be l(h). Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15687 and 653161.\nAnswer: 637474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -29*a - 82. Let s be u(0). Let r = -16 - s. What is the lowest common multiple of r and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 574 - -1995. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5707, 129 in descending order.\nAnswer: 129, 0, -5707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 140\/12 - 1\/(-3). Let x(d) = -d**2 + 14*d + 14. What is the units digit of x(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**2 - 2232*r - 1548. Determine b(-171).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x + 4*g - 3*g, 0 = -4*g + 8. What is the second derivative of 296*j + 81*j**5 - 122*j + j**3 - 1 - 3*j**3 + x wrt j?\nAnswer: 1620*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7*y**3 - 5*y - 7 - 23*y + 28*y + 24.\nAnswer: 7*y**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 + 2*r**3 - 4*r**2 + 4*r + 24. Let m be o(-7). Solve 2*t - 10 = -2*y + 6*t, 4*t - m = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, 1 n, and 1 x when four letters picked without replacement from tgtysxtsttnsy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33031, -66053, -99075, -132097, -165119, -198141?\nAnswer: -231163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjmukjkkujzjkvju. Give prob of sequence jzmu.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m = 156*m - 1743. Let i(o) = -2*o**2 - 8*o + 5 + o**2 + 2*o**2. Calculate i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxdiiddxdedeimmme. What is prob of sequence die?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-3.8\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6916 - -7612. Solve 12 = 692*v - h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/397 in -1\/11, -0.3, -2\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40597196?\nAnswer: 2, 10149299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-78)*(-3)\/((-18)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284247, 568505, 852763?\nAnswer: 1137021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 159, 247, 333, 417, 499, 579?\n\"Answer: -f**2 + 93*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -5, -2, -3, 5, 4, -4 in descending order.\nAnswer: 5, 4, -2, -3, -4, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 - 3*a + 5. Let u be l(4). Let f = u + -15. Let p(y) = -4*y - 8. Calculate the smallest common multiple of 14 and p(f).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 42, 68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.17 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02054*-865.14.\nAnswer: -17.7699756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59234?\nAnswer: 2, 7, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -68*m - 3. Let t be u(-3). Suppose -5*p + 4*x - 38 = -t, -3*p = -5*x - 103. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 - r**2 - 2*r + 2. Suppose 2*w = -2*w + 4. What is the units digit of h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p - 170 = -1994. Calculate the common denominator of 107\/80 and (-4)\/(3 + -2) + 428\/p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616970 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/30*35\/(-6468)*-112.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40790 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87536, -87324, -86978, -86504, -85908, -85196?\nAnswer: -84374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 21462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.9 + -214.9. Let c = a + 203.61. What is c rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 7.414?\nAnswer: 3.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75268199 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 4*l**2 + 6*l - 1. Let s(w) = w. Let i(j) = -h(j) + 4*s(j). Let v(c) = -4*c**3 + 4*c**2 + c - 1. Let p(z) = 3*i(z) + 2*v(z). Calculate p(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 10:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 p when three letters picked without replacement from lzzuouupuuoz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2242 and -103\/161424.\nAnswer: 161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 10 - 13 + 0 - 9*r.\nAnswer: -9*r + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 146. Let c be (-9)\/((-315)\/119) + (-2)\/o. Let j(w) = -w**2 + w - 1. Let q(t) = t**2 - 4*t - 1. What is c*j(f) + q(f)?\nAnswer: -2*f**2 - f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 11*g - 2. Let f be x(8). Let c(k) = -29*k + 9. Let u be c(-5). What is the highest common divisor of f and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/15 - 8*u**3\/5 - 106*u**2\/15 - 68*u\/5 - 48\/5 = 0 for u.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 96*g - 436. What is v(-10)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 162*t - 1837. Calculate q(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:07 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4914510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + a06587?\nAnswer: a06583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 9, 106134?\nAnswer: 106134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + h - 8*h**3 - 22*h**2 + 4*h**3 + 5*h**3 to y*h + a + o*h**3 + f*h**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**2 - 775788*r + 517188.\nAnswer: 3*(r - 86198)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7180 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 140*x**2 + 14*x + 11. Let l(m) = 7*m**2 + 2*m. Give -2*k(a) + 14*l(a).\nAnswer: -182*a**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - -4) + (-1 - -2 - -519)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1238*l**2 - 2561 - 1231*l**2 - l**3 + 2834*l**2 with respect to l.\nAnswer: -3*l**2 + 730*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z + 14. Let a be n(-4). What are the prime factors of a*-1*(-1)\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 47*l**2 + 24*l. Determine t(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.174 + -0.024. Let v = p - -1.398. Which is the third smallest value? (a) 2\/7 (b) -0.05 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 26*b**2 - 44. Let p be y(25). Let t = p - -6031\/9. Suppose l + 2*l - 3 = 0. Is t less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-900)\/(-210)*21\/2. Suppose -k*w + 26 = -154. Solve -6*j = w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*x - 32*x + 16*x + 41*x - 105 wrt x.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8386\/10671 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = a + 18, 5*a - 13*x + 38 + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 10*l + 121 + 457 + 8*l + 69*l**2.\nAnswer: 69*l**2 - 5*l + 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(-43)*(o*((o*o*(o**(1\/3)\/o)\/o*o)\/o)\/o)**(6\/23) assuming o is positive.\nAnswer: o**(-987\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -232. Let l(k) = 168*k**3 - k**2 - 12*k + 13. What is the units digit of l(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {t: 4, p: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 25. Determine y(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216714264?\nAnswer: 2, 3, 13, 694597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6954, -13220, -19608, -26178, -32990, -40104?\n\"Answer: -10*n**3 - n**2 - 6193*n - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 - 24*z**4 + 4*z**3 + 176*z**2 + 234*z + 88.\nAnswer: 2*(z - 11)*(z - 4)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 169759509995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 15 + (-20 - -2 - 11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllltt. Give prob of picking 2 t and 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 1, q: 1, h: 3, z: 3}. What is prob of sequence wh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (165\/(-22) + 1)\/((-2)\/(-244)). Let u = 1273 + o. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v. Let m(o) = 3*o**2 + 5*o + 5. Let i(g) = g**2 + g + 1. Let h = -37 + 38. Let b(s) = h*m(s) - 5*i(s). Calculate b(f(k)).\nAnswer: -1568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165306330 by 33061266.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (38 - (1 - -24))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by -4*1\/4*(-18 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*-1 - sqrt(68))\/sqrt(4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -5 (c) 2\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h - 7*h + 3*h in the form r*h + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/65 - (-37)\/13) + -5. Let s(j) = -4*j**2. Let h(d) = d + 6. Let z be h(-4). Let u(k) = -2*k**z + 5*k**2 + 14*k**2. What is n*u(a) - 9*s(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 0 + 185*s + 4 - 11 in the form y + p*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3411842 is divided by 3864.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1379 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95810 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(4\/(-16)). Suppose -3*r + 19 = -l*f, -5*f = -r + 6*r - 15. Suppose -r*x + 102 + 208 = 0. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 987360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 8*s - 11. Let o be l(8). Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 1326*z**2 + 9360*z - 13400 = 0.\nAnswer: -670, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10300013 - 3?\nAnswer: 10300010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*t + 6, 9*t + 4*p = 14*t - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 9*r**2 - 4*r - 10. Let o(q) = 2*q**2 - 5*q - 17. Let m be o(-7). Suppose 4*b + 84 = m. Is 8 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011000111101 + 101?\nAnswer: 1111011001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15*y**2 - 112*y - 10. Let t be q(-7). What is the second derivative of -37*f - t*f**5 - 39*f + 2*f - 3 + 3*f**4 - 9*f wrt f?\nAnswer: -780*f**3 + 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -32*g + 21. Is y(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j + 7*j - 2*j**2 + 3*j**2 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:15 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-32)*6*204. Is -1 + m - (12 - 14) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 166 - (-3 + 0 - -3). Suppose 5*p + 205 = 3*b, 4*p - b - b = -y. Let t = p + 74. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139\/2 + 69. Let u be 2\/((0 - -1) + 0). Let z be (-5 + u + 2)\/1. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 3*sqrt(475))*-1 + 1 + (sqrt(475)*-4 + sqrt(475) + -3 + 1)**2.\nAnswer: 45*sqrt(19) + 4282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -46. Solve 7*b = 2*b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220544493.\nAnswer: 3, 13, 23, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2010420230 + -2?\nAnswer: 2010420223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 6*y**2 - 4*y + 5. Let u be j(7). Suppose -2*m - 6 = -5*m. Suppose -4*o = -m*o - u. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.3 (c) -0.4 (d) -234264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 - (0 - (3 - 1)) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*x**4 - x**4 - 4 + (-3*x**2 + 3*x**2 - 2*x**2)*(-43*x**2 - 28*x**2 + x**2) in the form m*x + t*x**3 + u*x**4 + a + c*x**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25580 and 1340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200467?\nAnswer: 200467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b**5 - 80*b**4 + 20*b**3 + 70*b**2 - 55*b + 10 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134036487*l**5 - 46*l**2 - 63406*l wrt l?\nAnswer: 8042189220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*p + 338, 5*p + 3*c - 860 = -2*c. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*f - 22. What is the common denominator of (-8)\/f*118\/(-24) and (27\/12)\/(-3)*(-10)\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/30*(-3)\/14*(6 - 24).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36101379967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/((-925)\/90)*(-11)\/(-33).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008323245 rounded to four decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y. Let u(g) = g**2 - 4. Give u(r(q)).\nAnswer: 64*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**4*n - 42*i**3*n - i*n - 10*i - 20*n wrt i?\nAnswer: 132*i**2*n - 252*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.878 + 0.082. Let q = 0.9808 - r. Round q to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195856706 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -254*x + 216*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*j**3 + 15\/2 - 3\/2*j + 3\/8*j**4 - 45\/8*j**2 = 0 for j.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3685 - 2?\nAnswer: -3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 7779*g**5\/20 - 2*g**4\/3 + g**3 - 6*g**2 - 14*g. Let z be j(6). Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) + (-4)\/(-10). Suppose -3*z - 2*z = i. Let l be (z - 3)\/3*1. Let v(u) = -12*u**3 + u**2. What is v(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/20494833 or 0?\nAnswer: -4\/20494833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 15}. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 34*h - 40. Determine z(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(68)\/(sqrt(484)*-5)*6.\nAnswer: 6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 41343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 3*l**2 + 2 + (-4 - 3 + 3)*(3*l**2 + l**2 - l**2) in the form n*l + o*l**2 + t and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(1\/24). Let u = 8 - t. Is 158\/(u\/(-2)*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 4499*l - 715110.\nAnswer: -(l + 165)*(l + 4334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(-3 + 4 + 2). Suppose 6*r = k*r + 104. What is the highest common divisor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31909 take away -590.6?\nAnswer: -31318.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and (136\/(-170))\/(2\/5)*-130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*x - 2013*x - 35050 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -10, 0, 28, 80?\n\"Answer: q**3 - 9*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 173\/8. Let l = -0.4 + 0.5. Let c be (-6)\/4*(-5)\/6. Put c, p, l in descending order.\nAnswer: c, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 153\/5*m + 111\/10*m**2 + 237 + 1\/20*m**4 + 23\/15*m**3. Let h(z) = 0. What is z?\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6)*(1 - 1 + 1)*(1 - 5 + 2)*(3 + 2*k - 3)*(41 - 17 + 19).\nAnswer: 172*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -28, -41, -44, -31, 4?\n\"Answer: c**3 - 4*c**2 - 12*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4 - -5) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, c: 2, g: 6}. What is prob of sequence scc?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2 - 8*p + 29. What are the prime factors of l(9)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 5*o**2 + o**2)*(o + 6*o - o)*(-28*o + 6*o + 4 - 2) + (14 + 23 - 38)*(o**4 - 2*o**4 + 0*o**4).\nAnswer: 265*o**4 - 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -266033?\nAnswer: 266034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 542*w**2 - 3224*w - 4288 = 0. Calculate w.\nAnswer: -536, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.4. Let m = p + 1.5. Let j = 0.9999999 - m. What is j rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40024163 + 10910*m**4 + 13*m**2 + 29*m**2 - 20*m - 40024165 wrt m.\nAnswer: 261840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmktwsxw. Give prob of picking 1 t and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6976, -7017, -7058, -7099?\n\"Answer: -41*m - 6935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99 - 45471?\nAnswer: -45570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1 + sqrt(475) + -2 - sqrt(475) - ((sqrt(475) + 0)*-3 - sqrt(475)))**2.\nAnswer: -100*sqrt(19) + 11879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000 (base 4) to base 9.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -3)\/((-6)\/28). Let x = -1057 - -1060. Let d(w) = -w**3 + 2*w**2 - 9*w + 36. Let b be d(x). Sort -4, n, b, 5 in descending order.\nAnswer: n, 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -26, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0\/(-41)*4\/(-12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -1183?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -113.\nAnswer: 4\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 21*n - 17. Let v be o(-20). Suppose 0*c - q + v = c, -2*q + 11 = 3*c. Solve 0 = 6*r - r + c*x + 5, -r - 17 = -3*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = n. Let y = n - -1. What is the greatest common factor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 2\/11 (c) 2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.8 plus 5317654944?\nAnswer: 5317655223.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4\/10 + 11*k**3\/10 - 13*k**2\/10 - 51*k\/10 + 27\/5 = 0.\nAnswer: -2, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1559 - -1593. Calculate the greatest common factor of h and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(1\/18)\/(372\/(-24552))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*s - 9 - 7, 17 = 2*g - 3*s. Suppose 2*o - 3*x + 400 = -164, 0 = -4*o - 3*x - 1110. List the prime factors of o\/(-39) + g\/(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25376, -50764, -76150, -101534, -126916, -152296, -177674?\n\"Answer: k**2 - 25391*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2110 and 0.4?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 6*o - 25*o**2 + 20*o**2 - 2929.\nAnswer: -5*o**2 - 2929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 57*v**4 - 1 + 2 - 2423*v**2 - v - 2421*v**2 + 4850*v**2 - 2*v**3 as r*v**2 + f + k*v**4 + h*v + d*v**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89904 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.4 + -3.7. Let u = 7.6 + v. Suppose 0 = 2*s + 2, -5*s + 3*s + 19 = r. What is the third smallest value in 5, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = 2*u. What are the prime factors of u\/(24\/7653) - 39\/(-156)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 850 + -441. Is w 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 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p + 21*p**2 - 10*p - 6*p)*(4 - 2*p - 4)*(0*p - 2*p + 3*p).\nAnswer: -42*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289097 is divided by 3757.\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17946 and -1.\nAnswer: 17946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 6)*(225\/110 - 2). Let x be 1 + ((-228)\/(-115) - 3). Let g = 216\/805 - x. What is the nearest to 1 in g, p, -0.07?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 855409.842ms?\nAnswer: 0.001414368125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 21*v**2 - 98*v + 327. Is f(15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p. Let h be (-114)\/20 - (-90)\/(-300). Give n(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390044027 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.039\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1\/k)\/k)**(-2\/7)*(k**2)**43)**13 assuming k is positive.\nAnswer: k**(7852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/20, 14, -2\/393, -0.5 in descending order.\nAnswer: 14, 1\/20, -2\/393, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 355*s**2 + 2*s - 6. Is q(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 79 - v - 5*v + 0*v + 288 - 560. Calculate j(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 19, 0.17, -22, -0.1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1588333.\nAnswer: -2\/1588333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 - 41 = 0. Let c = n - 53. Let q(f) = -f. Let x be q(-5). Solve x*u + c*u = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Suppose -3*y - 2 = 10. Let l = 6 + y. Let f(x) = 0*x**l + 3*x + 1 - 6*x**2 - 2*x. Give 4*c(b) + f(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c810 - bb?\nAnswer: 2c744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3\/22*w**4 + 70 + 0*w + 6\/11*w**2 + 1\/55*w**5 + 5\/33*w**3. Factor u(m).\nAnswer: m*(m - 4)*(m - 3)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/1)\/2)\/((-1)\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 21*g + 1. Determine a(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = -o - 4*z, 0 = -4*o + 5*z - 6. Let y(l) = -32*l**2 - 3*l + 4. Let m be y(o). Which is smaller: -32 or m?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + 1.8. Sort -3\/5, 5, r in decreasing order.\nAnswer: 5, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((5 + (1 + sqrt(1100)*-1 - sqrt(1100)))*-6 + (1 + sqrt(1100))*6 + 3 + -4))**2.\nAnswer: -11160*sqrt(11) + 357361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.09 (b) -14 (c) -6\/7 (d) -17 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -6.9842, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 - 6*v - 4. Let o be d(-5). Suppose t = -t + 4*l, -l + o = 0. Suppose 2*b = -10, 0*y - 3*y + 17 = t*b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*v - 22. What is the least common multiple of 35 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2835 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + 0 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161933 * 803\nAnswer: 130032199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 2. Suppose o*c - 21 - 65 = 0. Let b = -40 + c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*m**4 - 98*m**3 - 98*m**3 + 196*m**3 + 7*m**5 + 207*m**2 wrt m.\nAnswer: 420*m**2 + 1656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286218 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let m be t\/(-5) + 48\/80. Suppose -r + 1 = -1. Solve 5*f + 30 = 3*s, 3*s = -4*f + m + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34818 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 divided by -132799?\nAnswer: -385\/132799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -4 - 12\/4*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o. Let b(c) be the first derivative of c**4\/12 + 12*c**2 - 24. Let l(v) be the second derivative of b(v). Give l(h(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 + 2*f + 7. Let t(q) = -28*q**3 - 4*q**2 + 2*q + 8. Determine b(n) - t(n).\nAnswer: 29*n**3 + 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -6*q**2 - 5*q + 1. Let p be n(-3). Suppose 0 = -5*d + p + 74. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + 31. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 3. Let m(j) = 2*j - 4. Let w(g) = 7*g - 15. Let f(d) = 11*m(d) - 4*w(d). Calculate 22*c(y) + 4*f(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 515 = -1369. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.1. Let s = -4620 + 4621. Which is the nearest to q? (a) -1 (b) -17\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 318\/11227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 162?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.34 take away 57587?\nAnswer: -57628.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -789 less than -798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u - 1. Let d be f(2). Suppose -l - 4*c = -d - 87, 160 = 2*l + 4*c. Suppose -l = -3*n - 2*n. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085444 less than or equal to 2\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -6, 0, -1\/3, 7, -43 in ascending order.\nAnswer: -43, -6, -2\/5, -1\/3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4627 + -a?\nAnswer: 461a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, m: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20135?\nAnswer: 5, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 2}. What is prob of sequence us?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18423318\/5 less than 3684664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -23) + 3 + (-1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*u - 4*u**3 - 8*u**3 + 6*u**3 + 742*u + 18*u**2 - 13*u**3 wrt u.\nAnswer: -114*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 54*z**2 - 331*z - 2. Let n(j) = -65*j**2 + 331*j + 2. Determine -6*b(a) - 5*n(a).\nAnswer: a**2 + 331*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 191 - 625 = 0. Solve 36*t + 4*r - q = 33*t, -3*r = t - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 4226725?\nAnswer: 4226714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139\/1879 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - (sqrt(1008) - (sqrt(1008) + -1))**2)*2 + (2 + sqrt(175) + sqrt(175) + sqrt(175)*1 + -2)**2.\nAnswer: -10*sqrt(7) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6004518 and -44\/37027861.\nAnswer: 222167166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 - -492. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**3\/3 - 5*b**2\/2 + 5*b - 17. Let i be r(5). Suppose -y = -i*y + 764. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)*y*y**(5\/2) assuming y is positive.\nAnswer: y**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, 2\/13, -3, 2517 in decreasing order.\nAnswer: 2517, 2\/13, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 - 2\/(-8). Let n be (-12)\/16 + (-2 - -3). What is the third biggest value in 0, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416378 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 163*x**2 - 109*x - 932. What are the prime factors of g(-8)?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 40*p**3 - 18*p**2 - 62*p + 24. Let x(r) = 11*r + 6*r**2 + 8*r - 2*r - 8 - 13*r**3 + 11*r - 7*r. Let q(m) = -5*s(m) - 14*x(m). Factor q(h).\nAnswer: -2*(h + 1)*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*b**2 + 0 + 0 - 2778*b + 2796*b to the form r + u*b**2 + x*b and give u.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 + 6*v**4 + 10*v**4)*(18 + 18 - 1).\nAnswer: 385*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 13. Suppose -7*m = -c*m + 6. Solve -2*u = 3*u + m*j - 21, 3*u - 5 = 2*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/25, -3\/11, 323, -80?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16684, 16697, 16718, 16747, 16784, 16829?\nAnswer: 16882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67750910*b**5 + 360318*b + 13.\nAnswer: 1355018200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 176 + 1 + 14 + -9.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 18*w + 6 - 2*w**2 - 3*w**2 - 13*w + 3 as o*w + p*w**2 + h and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-375)\/(-6)*10912\/(-13640).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3606780408 to the nearest one million.\nAnswer: -3607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - (5 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 14*h + 15*h**2 - 10*h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -641 - -766. Differentiate 71 + 31 + 0 - w*u wrt u.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 15. Determine z(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-165) + 183\/305)*4\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*b - 13, -4*m = 4*b - 7*m + 7. Let g be ((-4)\/5)\/(6\/(-15)). Let n(q) = 4*q**g + 5 - 6*q**b - 4*q**2 + q - q**3. Calculate n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -499, -1130, -2013?\nAnswer: -3148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*3*6\/(-72)*-33\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.5473643 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-2)\/((-5)\/(47075\/14)). Let l = 9025 - k. Round l to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6877 - 0.31226. Let z = m - -5. Round z to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from mpjpmjpmmjpp.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4190 - 3993068\/953. What is the common denominator of s and -35\/4?\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.33*0.038\nAnswer: 0.01254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -0.5, -2, -145.4 in descending order.\nAnswer: -0.5, -2, -35, -145.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03596 * -45371\nAnswer: -1631.54116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.6402 times -0.06\nAnswer: 0.098412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41856 - -41858. Let x = 0.34 - -0.06. Which is the third smallest value? (a) h (b) x (c) 0.3 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33137 - 372782 = -15171*n + 620107 + 390467 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -11. Let n be r\/(-4) + 11\/2. Calculate the highest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 1, -4, -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 2*v + 7*v, -4*f + 34 = -2*v. What is the third derivative of 10*r**4 + 3*r**4 - 13*r**4 - 16*r - 13*r**3 + 3*r**4 + f*r**2 wrt r?\nAnswer: 72*r - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + 1 - (1*(sqrt(7) + -2*(sqrt(7) + -1)))**2.\nAnswer: -10 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119536 divided by -666.\nAnswer: 59768\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 3*m**4\/8 - m**3\/3 - m**2. Let v(x) = 5*x - 1. Let b = 26 - 30. Calculate b*w(n) + 7*v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38456007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 399.01?\nAnswer: -398.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 399*d**2 + 4302 + 3285*d**2 + 345 + 452 + 2231*d**2 wrt d?\nAnswer: 11830*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*x - m, -7*x - 4*m = -18*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143 - b**3 - 147*b**4 + 284 + 2*b**3 - 142 + 0*b**3 to the form y + j*b**2 + i*b + l*b**4 + s*b**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2192 + 24034\/11. Is d less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211848 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1*(-4)\/14*(106 - 120)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 56119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 17 = -5*q, 5*q = q + 3*j - 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 4. Let t be i(-7). Let h be (-2 + -1)*(-5)\/(-3). Let z(w) = -w**3 - 8*w**2 - 9*w - 10. Let j be z(-7). Sort t, j, h.\nAnswer: h, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c - 5 - 34*c + 18*c + 2. Let u(h) = 6 - 3 + 5*h - 1. What is -4*p(a) - 7*u(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -151 + a3269?\nAnswer: a3118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**3 - r**3 + 2*r**3)*(-5*r + 2*r + 2*r) + 12*r**4 + 60*r**3 - 60*r**3 - 8 + 8 + 4*r**4 as n*r + s*r**2 + w*r**4 + h + m*r**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4161068291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585875 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20005 + 0 - (-3 + -2). Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 3, 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-504)\/(-54)*(-6)\/(-4). What is the greatest common factor of 28 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14197 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: Is 15260899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 - (-12)\/66. Suppose 2*m = -z*m. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-21476)*-59*-39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/4 + 2\/8. Let b = -13 + 3. Let j = b - -26. Solve -j + 0 = v*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oeoeeiioieo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 6 = -26 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 4. What is the smallest common multiple of ((-10)\/3)\/((-7)\/6 - -1) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 145 + 9*x - 279.\nAnswer: 9*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 7421?\nAnswer: 7421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, x: 1, a: 5, n: 1, s: 7, h: 2}. What is prob of sequence axgs?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 1\/12*v**4 + 0 + 3\/2*v**2 - 5\/6*v**3 + v. Let h be r(3). Sort 5, h, 1 in descending order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/4*5\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -51*w + 47*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 24. Let l be o\/10 - (-2454)\/(-15). Let r = -69 - l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486 - 286 - 2*u + 662 + 667 to z + t*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-4*p**2 + 6*p**2 - p**2)*(6 + 75 - 11)*(2 - 2 - p).\nAnswer: 70*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10320001 + 3?\nAnswer: -10313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -91. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -413, 7608, 15629?\n\"Answer: 8021*y - 8434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 8:09 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 10, -3*j + 12 + 19 = -5*c. Let q(u) = -1 - u**3 - 3*u**j + 4*u + u + 2. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 425957724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 20*k**2 - 43*k + 24. Let n be o(-22). Let i(s) = -s + 1. Let d be i(-3). Suppose -6 = -0*y + 4*y - 2*r, -3*y = -d*r + n. Sort y, -3, 1.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 162*r - 6467. Determine l(40).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 181*x**2 - 242*x + 242. Let d be j(1). Which is smaller: 185 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 2*n + 2*i, 3*n = -4*i + 819 - 278. Let o(a) = 3*a**2 + 11*a + 28. Let y be o(-6). Calculate the greatest common divisor of y and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -281, -753, -1499, -2609, -4173, -6281?\n\"Answer: -15*t**3 - 47*t**2 - 226*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2141.2 - -2141. Is h at most 0.0642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j + 2. Let u(l) = 2*l. What is u(o(x))?\nAnswer: 14*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -73444184 >= -73444175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(4*-4*20\/(-32))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4854483.23 to the nearest ten thousand.\nAnswer: 4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 195*l**2 - 7344*l - 14. Give g(-144).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.02, 3, 41, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 43.356. Let b = w + 0.4. Round b to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 510, 1015, 1520, 2025, 2530, 3035?\n\"Answer: 505*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -2. Suppose -5*i = -3*i + w + 3, 3*w + s = i. Solve 3*x + i*f + 9 = 2*f, -2*f = -5*x - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8dbcc (base 14) in base 4?\nAnswer: -1110103320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870391 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 - 334. Suppose 6*c - f + 33 = 0. Let m = c - 17. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 2*q**2 - q**2)*(49*q**2 + 4*q**3 - 49*q**2 + (-3*q + 3*q - 2*q)*(q**2 - 2*q**2 + 0*q**2) + 2*q**3 - 4*q + 4*q).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**3 + 0*p**4 + 3\/2*p**2 + 0*p + 4 - 1\/2*p**6 - 6\/5*p**5. Factor q(n).\nAnswer: -3*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2646 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 202*m - 16571. Calculate c(82).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122111002 (base 3) to base 16\nAnswer: -31ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-152))\/((-18640)\/(-14912)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - g - 68 = 0, -5016*k + 5014*k = -4*g + 52 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -9, 2233, 2.\nAnswer: -9, -2, -1, 2, 2233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41878561 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 98*m = 96*m - 7*n - 37, 0 = 4*m - 2*n - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*x = 94*x - 4*i + 3, -4*x - 5*i = 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/(-18)*-9*(-680)\/(-480)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/5 and -338 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1026c29 (base 13) to base 15\nAnswer: 66b91b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 + 10*y - 4. Let x = -29 - -32. Let l be b(x). Let n be (-21)\/(-6) + l\/20. Solve q + 0*q = 5*f + 17, 0 = 3*f + n*q + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose 2*v - 4*v - 4 = -2*l, -a*v + 24 = 4*l. Suppose -l*c = -51 - 1. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675340927 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123764 less than or equal to 123773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*a - 6054, 3*h - a - 9081 = -4*a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6582 rounded to 1 dp?\nAnswer: -19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1362*n - 16348. Give t(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1811)\/(-4) - (-9)\/(-12). Suppose 449*g + 9 = d*g. Solve 6*r - g*r + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504675 divided by -6729.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 111878?\nAnswer: -111881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 779361053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99726 and 8019.\nAnswer: 24233418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 3*h. Find the third derivative of 0*b**h + 6*b**2 + 0*b**6 - 4*b**6 wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742 = -30*v + 322 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)\/t*(t**6*t)\/t)\/((t**(-2\/5)\/t)\/t*t\/(t**(1\/3)*t))*(t\/(t*t**(-1\/3)))**42*(t**1)**(3\/5) assuming t is positive.\nAnswer: t**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1216)*1 - (sqrt(19)*2 + 4)**2).\nAnswer: -95 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 - -1 - 2424\/(-264). What is the nearest to m in -0.1, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 10*o - 9. Let y(c) = -12*c + 86. Let l be y(5). Let g be (-273)\/l - ((-1)\/2)\/1. Calculate x(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 651006079 + -14\nAnswer: 651006065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69947 divided by -4270?\nAnswer: 69947\/4270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + -1.4. Let c = 24 + -15. Let b = -7 + c. Sort b, 0.3, t in descending order.\nAnswer: b, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657 = -2*w + 19*o, -414928*o = 3*w - 414927*o - 47 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 285, 422, 557?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**8\/84 - 8*u**7\/315 - 37*u**6\/135 - 16*u**5\/27 - 31*u**4\/54 - 8*u**3\/27 + 83*u**2. What is l in j(l) = 0?\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62566 (base 8) in base 14?\nAnswer: 9674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*y - 2 + 2)*(-1 - 1 + 0) as k + r*y and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214019628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459670 (base 12) to base 7.\nAnswer: 12324132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 16 + (9 - -20) + 91 + -27 + 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 904069849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.07, 4, -48\/55, -60, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36064?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.1. What is the closest to 2\/11 in -3, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1257449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(-20)\/(-124) - -1. Let u = k + -856\/93. Find the common denominator of -1\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 3*z**2 + 39*z - 10. Determine k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.1241 + 0.0241. Let h = 45 + i. Let j = 0.2 + -0.7. What is the nearest to h in j, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30401 and 30402 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 3\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11\/119, -80, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*o**3 - 1 + o**2 + 9 - 2.\nAnswer: 651*o**3 + o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.2 + -27.2. Is 3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3517547893 or 0?\nAnswer: 3517547893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 + 4*d + 3. Suppose 4*y + 19 = -13. Let k = 18 + y. Let l be (1 - 3)\/(k\/25). What is u(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:37 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 215 and -0.088.\nAnswer: 214.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 23\/(-4)) + -1. Which is the third smallest value? (a) 0.5 (b) r (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967135429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002126172 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c + 2 - 27*c + 1 + 0 + 13*c. Calculate u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*m + b - 0, 14 = 2*m + 4*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/21)*q)\/(q\/q**(-2))*((q\/((q*q**4)\/q))\/q)\/q**(3\/4))\/((q\/q**(1\/4))**(-47))**(6\/13) assuming q is positive.\nAnswer: q**(11591\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39728 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7200 + 7205. Which is the fourth biggest value? (a) 0 (b) t (c) -9 (d) 1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000519501 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Suppose 2*o = -c, -5*h + 0*o = -4*o - 158. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*a**4 - 813*a**3 + 813*a**3 - 212*a wrt a.\nAnswer: 3756*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43378, -86760, -130142?\n\"Answer: -43382*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:31 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3434*q + 3319*q - 7294*q as u*q + b and give u.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**7\/10 - 53*k**6\/4 - 9403*k**5\/20 + 3003*k**4 - 3042*k**3 + k**2 + 284. Suppose f(v) = 0. Calculate v.\nAnswer: -39, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14413 and 14.6.\nAnswer: 2.104298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -8, -19, -30, -41?\n\"Answer: -11*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 5, j: 3}. Give prob of picking 1 j and 2 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224736?\nAnswer: 2, 38273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 529.2 and -3.3.\nAnswer: 525.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggaxqqgxqxxggqg. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4689, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**28\/(q*q\/(q\/q**2)))**(14\/5))**(-2\/89))**11 assuming q is positive.\nAnswer: q**(-1540\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:51 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 723563, 723558, 723555, 723554, 723555, 723558?\n\"Answer: j**2 - 8*j + 723570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 2*w - 26, 5*w - 5*h = 60. Suppose 276 = 9*v - 5*v. Calculate the remainder when v is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16814590 divided by 8407295.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 21 = -3*q, 17 = q + 4*s - 10. Suppose -q - 7 = -3*p. What is the greatest common divisor of p and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyypy. Give prob of sequence ypy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-17 - (-30 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 8)*(203535*s**2 - 524*s**5 - 203535*s**2) + (3*s**2 - 3*s**2 + 2*s**2)*(1 - 1 - s**3) + 0*s**4 + 0*s**4 - s**5.\nAnswer: 1569*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*d*t*y**2 - 138*d*t*y + 2*t*y**2 + 1094*t*y + 3 with respect to d.\nAnswer: -46*t*y**2 - 138*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2440, 5339, 8240, 11143?\nAnswer: 14048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.236767 less than 24?\nAnswer: 23.763233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -643.4 and -1021.8?\nAnswer: 657426.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*n. Let y(j) = 5*j - 41. Let x be y(9). Sort n, -13, x in decreasing order.\nAnswer: x, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 i when three letters picked without replacement from {z: 3, i: 10, b: 1, r: 2, q: 1, o: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 - -212. Is (2653 - -1) + 2 + b\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2. Let k(q) = 145*q + 110. Determine k(r(g)).\nAnswer: -435*g**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 506 (b) 7 (c) 4 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -239, -529, -935, -1457, -2095?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Let j = 9 + -12. What is the nearest to l in j, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26321 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:39 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 387*i + 388.\nAnswer: -(i - 388)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8)*(-260 + 24). Does d = -408\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002364630 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 16416.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 31*f**2 - 65*f + 54. Let q = -183 + 154. What is the units digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 12. Let h = -16 + y. Let v = 7.2 - h. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2688238 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -130. Let o = w - 53. Let h be o*(-3)\/(-6) - 4. Let p(s) = s**2 + 5*s + 1. Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 0 (c) 2 (d) -1.859 (e) -4 (f) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*v + 15*v - 4*v + (3 + 3 - 4)*(-v - 2*v + 4*v) to y*v + a and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 = -2*n + 66*k, -5*n + 6543*k - 6546*k - 54 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + 22 + -20 - -10 - (-5 + 6 - 4).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 3*u + 2*u. Let c(s) = 4*s**2 + 24*s + 3. Let t(k) = 36*k**2 + 224*k + 28. Let b(q) = 28*c(q) - 3*t(q). Calculate b(m(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*x + 0*x = -77 + 280, 0 = -4*s - 5*x + 157 - 431 for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*v - 41, 5*f - 9 = -3*v - v. Suppose -f*b - 55 = -315. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673202.9 minutes in microseconds?\nAnswer: 40392174000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*u = -35, -m + 3*u + 18 = -7. What is the remainder when 116 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**4 - 3*q**4 + (0 - 4 + 3)*(-4*q**4 + 0*q**4 + 5*q**4) - q**4 + 2*q**4 - 4*q**4.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfrrccvffpvvffrf. Give prob of picking 3 r and 1 f.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/2 + 34785*f - 69564 = 0 for f.\nAnswer: 2, 23188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 times 4605?\nAnswer: 1749900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3754.977 to 0 decimal places.\nAnswer: 3755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, o: 7, e: 4}. What is prob of picking 2 e and 1 s?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybybwybwwbbyyby. Give prob of sequence bb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -109, -103, -97, -91?\n\"Answer: 6*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:46 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*((3 + 2 - 3)*(2*z + 1 - 1) - 2*z + 8*z + 2*z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h - 3*x - 0*x - 291, 2*h + 7*x = 2*x + 6*x + 31 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(132) + (sqrt(132) - sqrt(132)*2)*-5)\/((sqrt(1200) - (sqrt(108) - -2*sqrt(108) - sqrt(108) - sqrt(108) - sqrt(108)))*-4).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965297 is divided by 1423?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78207387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 3 - -2) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -12*d**4 - 1083*d**3 + 10686*d**2 + 28875*d + 6534 = 0.\nAnswer: -99, -2, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4 (c) 0.5 (d) 162 (e) 0.04 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 54*j + 6. Let s(h) = -2. What is p(v) + 3*s(v)?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (553\/(-11376)*-48)\/(((-3)\/15)\/((-9)\/30)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*d - 21. Suppose -i + 5*i = 5*m - 135, -94 = -3*m + 5*i. Suppose -4 - m = -d*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 1\/15*u**6 - 1\/24*u**4 + 11*u + 0 - 1\/6*u**3 + 1\/60*u**5 + 4*u**2. Let y(c) be the first derivative of b(c). Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 297*b + 296*b - 92 = 0, -226 = -2*f - 4*b. Calculate the highest common divisor of 1507 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11403?\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1425. Let h(m) = 11*m**2 + 32*m - 24. Let s(b) = 21*b**2 + 56*b - 42. Let p(u) = 7*h(u) - 4*s(u). Give k(p(y)).\nAnswer: 7*y**2 + 1425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43126 - 43126.5. Sort -10, y, 80 in ascending order.\nAnswer: -10, y, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n**2 + 0*n**2 - 2*n**2 + 5 - n**2. Let a(v) be the first derivative of 2*v**2 - 33. Give q(a(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1717, -6860, -15441, -27466, -42941, -61872, -84265, -110126?\nAnswer: -139461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000157858 rounded to seven decimal places?\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) -0.4 (c) 2 (d) -12 (e) 80.8 (f) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i - 13435 + 13435. Let r(h) be the second derivative of h**6\/360 + 5*h**3\/6 + 25*h. Let g(d) be the second derivative of r(d). Determine v(g(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x - 36. Let b = x - -8. Let u(v) = v**2 - 2*v - 4. Is 11 a factor of u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 126*v + 48439. Determine l(-385).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6984 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7127, -4, -0.4, 0, -2\/3, 5 in increasing order.\nAnswer: -4, -2\/3, -0.4, 0, 6\/7127, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/175256 and 22\/7?\nAnswer: 1226792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-123)\/9*-3. Suppose -q*z = -34*z + 20. Is -20 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((48\/(-18))\/1)\/(3\/9). Let y(v) = -v**2 - 5*v + 61. Does 13 divide y(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -307, -459, -583, -673, -723, -727?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 585 - 547. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 139, 191, 265, 361, 479?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r. Suppose -4 + 0 = n. Let o = n + 4. Let p(d) = o*d**2 + 5*d**2 - d**2 - 5*d**2. Give p(l(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.7 and -467?\nAnswer: 11067.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25838.232 months in millennia?\nAnswer: 2.153186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/60 + 7*k**4\/24 - k**3\/3 - 4*k**2. Let t(g) = g**2 - 4*g + 6. Calculate the remainder when i(-9) is divided by t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + 1000010100101010?\nAnswer: 1000010011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-450)\/1215)*70\/63\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - t = 42*a - 1, -3*a + t + 9 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27937752*h**4 + 335*h + 1665 wrt h?\nAnswer: -335253024*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73885.08 centuries in years?\nAnswer: 7388508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/5 - 173*h**4\/5 - 1547*h**3 - 4335*h**2 = 0.\nAnswer: -85, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 3*(-6)\/(-3). Let u(w) = -w**2 - 7*w + 10. Let r be u(f). Solve 2*b - 2 + 0 = r*y, -5*y - 4*b + 22 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6))**25*t**(6\/5)\/t**6)**(-4\/13) assuming t is positive.\nAnswer: t**(38\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 337696863 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1649 + -854. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**6\/10 - w**5\/120 + w**4\/24 - 5*w**3\/6 + 5*w. Let s(z) be the second derivative of v(z). Is s(1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = p - 1 - 4, -4*p + b = -20. Let g(o) = o**3 - 4*o**2 - 7 - p*o**2 + 0 + 10*o. Is g(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**3 + 1. Let h(y) = -215*y**3 - y - 2. Determine -h(z) + 5*x(z).\nAnswer: 260*z**3 + z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - n + 3*n - 8*n. Is 9 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -263*h**6\/120 + h**5\/60 - h**4\/24 - h**3\/6 + h**2 - 5*h. Let u be n(-1). What is the greatest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*o**2 + 3*o + 8*o**2 + o - 202*o**2 in the form z*o**2 + q + s*o and give z.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-193 - -195)*(-1)\/(1*-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 2*w**2 - 4*w + 3. Let f be m(2). Is (f\/(-2))\/((-7)\/(-154)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18869232 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 10. Suppose 0 = 3*j - 3*t + 15, m*t - 1 = j + 3*t. What is the remainder when 13 is divided by (-8)\/(-2) - j\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 810 = 9*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17475\/21488 + 1\/1343. Find the common denominator of 43\/12 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-20)\/6 - -3). Suppose -19 = -w*x + 8. Suppose 6*p - 9*p = -x. Solve -p*q + 0*q + 12 = 3*o, -4*q - o + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223102 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -14 + 0 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:51 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = c + 72 - 12, -3*k + 180 = 2*c. Let z be (6\/2 + 1)*10. Calculate the highest common divisor of k and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 16*o**2 - 7*o + 32. Let b be y(16). Let x be (-4*6\/b)\/((-6)\/(-22445)). Let n = -1108 + x. What is the common denominator of -19\/18 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -482, -726, -972, -1220, -1470?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 1334, 2998, 5328, 8324, 11986?\nAnswer: 16314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q. Let o(n) = -6*n**2 - 2*n + 1. Let p(t) = -7*m(t) - 2*o(t). Let g = 46 - 48. Let s(v) = -v**2 + 1. Determine g*s(l) - p(l).\nAnswer: -3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19334*b - 19534*b + 5000 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2760905 and 23\/16520.\nAnswer: 22087240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1992788848 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2\/4)*0. Let j = -3\/2959 - 17739\/14795. Which is the closest to 1? (a) p (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2\/7, 109, -1.\nAnswer: -1, 2\/7, 1, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3*s**5\/20 + s**4\/12 + s**3\/6 + 4*s. Let c be a(-1). Find the first derivative of -c*x**3 - 6 + 2*x**3 - x**3 + 1 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0164187 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -530b - -19?\nAnswer: -52b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from iiiirrpiiriiiybip.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 66*g + 422. Let v be l(7). Let b(a) = 4*a**3 - a**2 - 13*a + 9. Let n(q) = 2*q**3 + 2 + 57*q - 60*q + q**3 - 2*q**3. Give v*n(z) - 2*b(z).\nAnswer: z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 76*h**2 - 964*h - 119. Determine y(13).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:35 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -97. Suppose 0 = -0*u - 6*u - 6. Let l be 2 - u - (-4)\/i*-31. What is the closest to -1\/4 in -1\/4, 0.2, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 + 2*c - 1. Let s be d(3). Let o = 93 - s. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74360987.32859 less than 3?\nAnswer: 74360990.32859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 814314, 1628567, 2442820, 3257079, 4071350, 4885639, 5699952, 6514295?\nAnswer: 7328674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 5. Let j be s(-9). Let f be 5 + 2 + 2 + j. Suppose f*b - 3*v - 114 = b, b - v - 29 = 0. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 24. Let s(w) = 11*w + 64. Let g(q) = 8*j(q) + 3*s(q). Let t(o) = -222*o. What is t(g(f))?\nAnswer: -222*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m. Let n be f(-1). Suppose -5 = -n*r + 7. Suppose r*j - 2*j - 18 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 87, 307, 793, 1683, 3115?\n\"Answer: 23*a**3 - 5*a**2 + 74*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m - 63 = 0. Let n(q) = -14*q**3 - 3*q**2 + 3. Let k be n(-1). What is the highest common divisor of m and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let b = -17.318 - -0.118. Let w = b - -16.7. What is the second biggest value in z, -0.2, w, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 287*b.\nAnswer: 287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 6*h - 13. Let b be c(9). Find the common denominator of b\/(-16) - 1 - 3 and 17\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11088)\/(-9702)*14\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1469 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose 18 = p + h*p. What is the highest common divisor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144119 is divided by 2340?\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:02 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -2.691\nAnswer: 2.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/49)\/(132\/154)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}