diff --git "a/data/dm_maths/full_data/197_11255.jsonl" "b/data/dm_maths/full_data/197_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/197_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify sqrt(400)\/sqrt(5)*6.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617910*n + 617909*n - 9 = -3*m, n - m = 1 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 336097658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -73. Solve -3*l + 11 = -4*d, -t*d + d - 17 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/21 + 276*q**3\/7 + 7514*q**2\/7 + 148720*q\/21 = 0. What is q?\nAnswer: -13, 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4076 rounded to 2 dps?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -1906073\nAnswer: -26685022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/2*(-15642)\/(-316).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18735637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.033142km?\nAnswer: 2033142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = 3*g, 2*r = -g + 3 - 5. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 38\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443, -5858, -13213, -23508, -36743, -52918?\nAnswer: -72033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1714*b*k**5 - 6*b*k**3 - 448*b*k - 33*k wrt k?\nAnswer: -34280*b*k**3 - 36*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6210 by -90.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aqgqqggqaqa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a + 1\/60*a**5 + 0 - a**2 - 1\/6*a**3 - 1\/6*a**4. Give w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 4266*k**3 - 1843*k**2 + 4261*k**3 + 1843*k**2.\nAnswer: -5*k**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61456 is divided by 179.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let j be (-1)\/t*-1*1. Which is the third biggest value? (a) -1 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15910596*a**5 + 2*a**2 + 2590*a - 297.\nAnswer: 318211920*a**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + (-4)\/12. Let h be -5*(-3 - -4)\/q. Suppose -r = -h + 12. Let k(y) = y + 9. Calculate k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*j + 5*j + 5*a, 5*j + 5*a = 25. Let n = 1 - 1.5. What is the third smallest value in -1, 5\/6, j, n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2 - 35489*q - 40948230 = 0?\nAnswer: -34295, -1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 71 = -57. Let i be (60\/(-8))\/(6\/u). Calculate the highest common divisor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) 1\/3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854 = 184*h - 248*h - 363*h. Sort h, 6, 23, 3.\nAnswer: h, 3, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1 minus -571833.65?\nAnswer: 571841.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*j - 32. Let t be 10\/20 - 9\/(-2). Put j, -5, t, -4 in decreasing order.\nAnswer: t, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -105 - (-2)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 - 2*n**3 + 3*n**2 + n + 47. Let s be u(5). Solve -5*j + 2 - 7 = -5*c, 4*j - s = -c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g. Let i(n) = -8*n**2 - 8*n**2 + 19*n**2. What is i(c(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-7332*j + 7407*j - 6 + 2) to the form w + h*j and give h.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-3 + 2 - -2). Suppose -4*o + 4*r - 32 = -204, 2*o - q*r - 78 = 0. Suppose -4*v = c + o + 1, 2*c - 3*v = -74. Round c to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/2)\/(0 - -1). Let k be -7*3 - (23 + -28). Sort 4, k, c in descending order.\nAnswer: 4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/12 - 2*s**3\/3 - s**2. Let w be m(4). Let y be 9\/2 + (-2)\/4. What is the greatest common divisor of y and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/228 and -143\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13030 (base 4) to base 16.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 12*y - 9. Give u(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 - 3*w**2 - 7*w. Let p = 4 + -7. Let f(k) = -4*k**3 + 2*k**2 + 6*k. Let z(h) = p*f(h) - 2*n(h). What is the second derivative of z(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -852*j + 1329*j - 792*j in the form r*j + l and give r.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4123086 kilometers to nanometers.\nAnswer: 412308600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 - 9 - 51*n - 52*n + n**3 + 120*n. Let m be s(-9). Let a be 21\/14*(-4)\/(-15). Is m at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + 1.6. Let n = 17.231 + 0.169. Let g = n + -17. Which is the fourth biggest value? (a) g (b) -2\/15 (c) y (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.1, 3\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -117 to zero dps.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 56429*j. Let b(x) = -23*x**2. Give b(u(w)).\nAnswer: -73237336943*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149040 = -5*w + 5*u, 2*w + 39*u = 36*u + 59626. List the prime factors of w.\nAnswer: 2, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.345 + 0.232. Let n = -0.013 - x. Which is the biggest value? (a) 5 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5970\/6619?\nAnswer: -5970\/6619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f + 2*x - 0, -12 = -3*x. Suppose -m = -4*m - 4*n + 60, -3*m + 4*n + 36 = 0. Let s be 3*-2*(-6)\/4. Solve 5*b - s - m = f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let m be (3 + -15)*2\/(-8). Let u(j) = 5*j - m*j - j. Let c(w) = -3*w. Let a(n) = 4*c(n) + 9*u(n). Calculate g(a(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f + 30. Let h be r(-6). Suppose 5*j + 286 - 61 = h. Let s = 191 + j. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 37*t**3 + t**2 + 2*t + 3. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 872\/36 + ((-141)\/27 - -5). Solve -27*t = -x*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - ((-2961855)\/468)\/(12660\/(-96)).\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 18, 40, 68, 102, 142?\n\"Answer: 3*r**2 + 7*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 8840*h + 3907280.\nAnswer: 5*(h + 884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:55 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n. Let g(d) = -16*d - 12. Let r(i) = 33*i + 28. Let j(w) = -7*g(w) - 3*r(w). Calculate -6*f(o) - 13*j(o).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 65478?\nAnswer: 196434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(8))**2*-3 + sqrt(12)\/sqrt(294) + -1.\nAnswer: -217 + sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118545978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q - 16 = 0. Let i(d) = -d**2 - 7*d - 4. Let n be i(q). Let l be n*-2*(-10)\/(-6). What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 43*c**2 - 2699*c - 10035. What is k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 3147661.\nAnswer: 9442983","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333200431.\nAnswer: 31, 10748401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -106. Sort 1, 3, h, -3 in ascending order.\nAnswer: -3, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2952212.\nAnswer: 1\/738053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25732979 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -1\/4, 12544.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/21)\/(30\/105)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -29 - (4 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7963.8ms in nanoseconds?\nAnswer: 7963800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*3*2. Suppose -2*d = -p*d. Suppose -2*s + 3*o = 3, 4*o - 1 = 2*s + 3*o. Solve g + 4*k + 20 = d, s = -k - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(12)\/(2*sqrt(6)*-6)*-3*-3 + -4)**2.\nAnswer: -6*sqrt(2) + 137\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20137 + -107.85.\nAnswer: 20029.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -884*j - 804*j + 1687*j. Let q(d) = 15082*d**2. Determine s(q(a)).\nAnswer: -15082*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7956 or -7964?\nAnswer: -7956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 - 81 = -4*m, -3 = m. Put q, -2, -1, -3, -24 in decreasing order.\nAnswer: q, -1, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 19. Find the common denominator of -1\/14 and r\/48*19 + 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 53, -10531 in descending order.\nAnswer: 53, 0.1, -10531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -211. Let k be -1*(21 - (-1 - 1)). Let o = -16 - k. What is the smallest common multiple of o and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 73975840.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14926977 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-4)\/6)\/(4\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -3. Suppose 6*m - l*m = -185. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/6 - 3*r**5 - 305*r**4\/12 - 40*r**3 - 6*r + 59. Factor v(k).\nAnswer: 5*k*(k - 16)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 - 11*j + 5. Let q be g(-8). Let x = -35 - q. Suppose t - 3*s - 4 = x, 5*t + 31 = -5*s + 131. Solve -z + t = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(1*2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 968 - 517. List the prime factors of d.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19 = 15. Suppose -4*i + 2*d = -14, 17 - 39 = -5*i + l*d. Solve -i*v + 7 = u - 3*v, 0 = -5*u + 3*v + 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -77. What are the prime factors of ((-394)\/p)\/((-8)\/(-24))?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 35, 723.\nAnswer: -4, -1, 35, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**6\/6 - 4*f**5 - f**4\/4 + 20*f**3\/3 + 1686. Factor o(p).\nAnswer: p**2*(p - 20)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*3\/(-12)*136\/102 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 u, and 1 l when four letters picked without replacement from {u: 12, e: 7, l: 1}.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31, 40, 59, 94, 151, 236?\n\"Answer: m**3 - m**2 + 5*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 6804*x + 6806.\nAnswer: -2*(x - 1)*(x + 3403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/22)\/(2\/4). Let g(h) = -h - 10. Let u be g(-12). Which is the smallest value? (a) 1 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((((a**(-1)\/a)\/a)\/a)\/a))\/a)\/a)**(-1\/8) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107911053.\nAnswer: 3, 17, 163, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 179*w**2 + 2941*w + 18. Give i(18).\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -34.962 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 33.00000013. Round d to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8201100396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 166 = 190. Calculate the lowest common multiple of g and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3205 * 0.01\nAnswer: -0.013205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j = -29*j - 728. Sort 4, j, -3 in increasing order.\nAnswer: -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9199.\nAnswer: -5\/9199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 - 3)*2\/(-4). Let d be 2\/1*h\/(-6). Calculate the common denominator of (-1)\/(6\/(-117)) - d and -73\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 77 = i, 3*i = -4*v + 49 + 40. Solve -t = v - 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 9612888473?\nAnswer: -9612888463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from ojfda?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y)*(4 + y - 4)*(2*y**3 - 9*y**3 - y**3).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 + 208. Let g = -9 + 30. What is the remainder when o is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85617222?\nAnswer: 2, 3, 29, 492053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -5 + (sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0)) + sqrt(1584))**2 - (sqrt(165)\/sqrt(243))\/sqrt(5).\nAnswer: 26*sqrt(11)\/9 + 14251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2 (c) -1 (d) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooso when four letters picked without replacement from ssssssssosssssoossss.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -9. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12611, -25146, -37577, -49904, -62127?\n\"Answer: 52*y**2 - 12691*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22610456.9 rounded to the nearest 100000?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066199909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*o - 266*o + 874*o - 242*o - 119*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4\/9, 5 in increasing order.\nAnswer: -20, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -13, 4963 in decreasing order.\nAnswer: 4963, 5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 122211211002002002?\nAnswer: 122211211002002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19577 divided by -2109?\nAnswer: -19577\/2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -3722828.098.\nAnswer: 3722833.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 15*w + 58. Calculate b(-10).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 18, 43, 76, 117, 166?\n\"Answer: 4*b**2 + 5*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 + 34 = 9*h - 5 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1050 and -23\/2477775.\nAnswer: 34688850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.13393kg in nanograms?\nAnswer: 39133930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = -0. Let t = -1 - 1. Which is the closest to 2\/7? (a) -0.4 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3816 - -0.58156. Let s = 5 + -4.8. Let t = h - s. What is t rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*g = -3*u - 11, 5*u + 21 = 2*g. Let i = -399 - -2074. Let b = 10025\/6 - i. Is b not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107\/11 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -32 - 34. Let t(u) be the first derivative of -u**4\/4 - u**3\/3 - u**2\/2 + 2*u - 1. Let b be t(0). What is the highest common factor of i and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c**4 - 4*c**3 - 6*c**2 + 4*c. Let u(w) = w**4 + w**3 - w. Let l(h) = a(h) + 4*u(h). What is the third derivative of l(b) wrt b?\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g + 7 - 8 + 1.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2327 + -21.1977. Let f = 248 - 269. Let s = q - f. Round s to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*u + 45*u - 26*u - 1 in the form a + z*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -14 - 2. Let p = 0.22 + 0.08. Sort x, 5, p in ascending order.\nAnswer: x, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*w - 2956 = 236*w + 302 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74044141*b**6*s**3 - 3*b**2*s**3 - 3877*b**2*s - b*s**3 - 218*s**3 wrt b?\nAnswer: -8885296920*b**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 24 = 2*n. Calculate the remainder when ((-9)\/n)\/((-3)\/12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137 + 82 - 7*a + 56)*(4 + 0 - 3)*(-6*a - 2 + a - 3*a) to s + b*a + k*a**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 8 + 6*p - 12*p - 7*p.\nAnswer: -13*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 13. Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-133) + 20164\/14. Suppose 7*b - d = -b. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564527416 and 1448?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -23*y - 25*y. What is the biggest value in -10\/9, 7\/5, 0.5, y?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -12. Let m(n) = n - 8. Let y be m(8). Which is the closest to y? (a) v (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from fmmmmmfmmmfmffmmmmf?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4027924809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 x when four letters picked without replacement from {o: 2, x: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*y - y + y)*(-2 + 6 - 5)*(-160 - 267 + 44) to u*y + o and give u.\nAnswer: -6511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(272)*-3*6)**2*5.\nAnswer: 1762560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1303.54\nAnswer: -521.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdtqdt. What is prob of picking 1 d and 2 t?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10044 * -2\nAnswer: 20088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/((-125)\/(-2))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)\/c**(-1)*c*c\/(c*c**0\/c)*c**(-1\/3) assuming c is positive.\nAnswer: c**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -49. Let s = -56 + p. Which is the closest to 1? (a) 2\/17 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 5074*p + 70638. Determine i(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 349342338.\nAnswer: -139736935.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4031*h**3\/3 + 1591. Let w(v) = 31*v**2. Give -2*j(m) - 261*w(m).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 5*h + 0*h)*(-3*h + 3 - 3) + 21*h**2 - 8*h**2 + 18*h**2 + (-34 + 34 - 8*h)*(3*h + 2*h - 4*h) to c*h + z*h**2 + n and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*4\/(36\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w - 478. Give j(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -618. Let i be ((-217)\/(-14) + -2)*-26. Let y = i - g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = 2. Suppose -2*a = s + 9. Let u be a\/3 + 6\/9. Let v(h) = -h**2. Determine v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 9. Suppose -3*z + 14 = -4. Is 6 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 10 + 12. Calculate the least common multiple of (-84)\/c - (-2)\/11 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 + (2 - -6) + -1 - -8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4977.042mm to centimeters.\nAnswer: 497.7042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -7 - -393 - -8 - 2 and 8?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 5. Let c = 3200 - 3205. Let i(s) = -3*s**2 - 7. Give c*i(j) + 7*y(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = z, -g - 6*z = -3*z + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -203. Let y(i) = -i**3 + 4*i**2 + 7*i. Let h be y(6). Let m = h - o. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.4, -5, -6\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63111198719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-672)*(-1632)\/(-36)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367386127.\nAnswer: 6599, 55673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 + -2. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1875009 is divided by 356.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272) + 2*(sqrt(17) + -1).\nAnswer: -6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*l + 3 = -3*l, 0 = -8*d - 5*l + 69 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26 - 8)\/(-9)*-1*1297995. Suppose d = 5*d + 5*q + c, 0 = 3*d + 3*q + 1946994. What is d rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 8*l.\nAnswer: l*(l - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668261 is divided by 768?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let s be 1 + i + (-2)\/(-1). List the prime factors of (9 - (-4)\/2)*s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:33 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11783\/(-99)*2\/(-67) + -3. Let f = y + 2\/737. Find the common denominator of 68\/111 and f.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/5)*j**(-1\/12)*j**(-2\/3)\/j**6)\/((j*(j\/(j*j**0)*j)\/j)**(-1))**(-16) assuming j is positive.\nAnswer: j**(-411\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 4\/5 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*t - 146 = 0, 4*j - 4*t + 6*t = 118. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -44*c + 48*c - 4*s, 5*s = 4*c - 48 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28355 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 10 = -k. Let v be ((-14)\/k)\/(14\/84). Put v, -4, -2 in increasing order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 44?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 6:14 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3881, 7703, 11525, 15347, 19169, 22991?\nAnswer: 26813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g + 38. Let j be c(7). Let f = 98 - -17. What is the second derivative of -f*z**3 + 114*z**j + 0*z**2 + 3*z + 0*z**2 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -35495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3 + 0*i - 6*i)*(-3 + 3 - i**2).\nAnswer: 7*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2958, -5917, -8876, -11835, -14794?\nAnswer: -17753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (75\/70)\/3*12\/45\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 7. Let u(z) = 12*z + 1. Let t(x) = -34*x - 4. Suppose -3*m + 55 = -8*m. Let w(o) = m*u(o) + r*t(o). Let k(c) = -c - 1. Give 2*k(h) + w(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54107 or 378755\/7?\nAnswer: 378755\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -99*y**4 + 635*y**2 - 6. Let s(z) = -200*z**4 + 1270*z**2 - 11. Let v(r) = 11*j(r) - 6*s(r). Find the third derivative of v(t) wrt t.\nAnswer: 2664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 287641, 5, -0.2, -3\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d - 1. Let x(h) = 16*h**2 - 4*h + 16. Let v(a) = 10*w(a) + 2*x(a). Find the first derivative of v(r) wrt r.\nAnswer: 84*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*o**3 - 28*o**2 - 22*o wrt o?\nAnswer: 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472 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: Put -2, 3, 4, -5 in increasing order.\nAnswer: -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3596*s**2 + 258*s + 18050419.\nAnswer: 7192*s + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120791 * 21.\nAnswer: -2536611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9))**(-3\/2)\/((h*h\/((h**5\/h)\/h))\/(h**14\/h)) assuming h is positive.\nAnswer: h**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:15 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 6*o + o - 2*o + 2*o + (-o - o + o)*(-5 + 0 + 3))*(-288*o**2 - 417*o**2 + 156*o**2 - 425*o**2 - 84*o**2).\nAnswer: -1058*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 172 = 13*y. Find the second derivative of 16*c - y*c**4 - c - 3*c wrt c.\nAnswer: -516*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99440 to the nearest one thousand.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -379 (b) 0.5 (c) 99 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 3484290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7289 + -342635\/47. Find the common denominator of 83\/12 and u.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 0*g**4 + g**4)*(5*g - g - 3*g) - 15*g**5 - 4*g**4 + 12*g**4 - 7*g**4.\nAnswer: -13*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, t: 1, x: 6}. Give prob of picking 2 x and 1 t.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:05 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c + 203. Let l(w) = -6*w + 204. Give -5*l(r) + 4*x(r).\nAnswer: 2*r - 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73480*k + 38893 with respect to k.\nAnswer: -73480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -23*a**6\/10 + 3*a**3\/2 - 6*a**2 + 289*a. Find the second derivative of w(f) wrt f.\nAnswer: -828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -1.3, -1, 2\/5, 0.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4736\/8 + -6 + -2)*14\/8 is divided by 129?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -462?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7632 is divided by 1601?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*c**4*u + 2*c**4 + c*u - 15*u + 2 with respect to c.\nAnswer: 224*c**3*u + 8*c**3 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59813479121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*(sqrt(544) - sqrt(34)))\/(sqrt(200)*6) + -5))**2.\nAnswer: -25*sqrt(17) + 2517\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4 - 7. What is the remainder when (-53)\/j - (-5 + 3) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1682985 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1863 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*k**3 + 2 - 28*k**3 - k**2 - k**2 to the form c*k**2 + m*k**3 + a*k + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 3390 = 211*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 30. Sort y, 4, -2 in increasing order.\nAnswer: y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7764502 + 5835498. Suppose -4*h + 4 + 4 = 0. Suppose -l = -h*c + 3*c. What is c rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373321199?\nAnswer: 127, 271, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 + -2d?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1734 = -3*x + 5*v, 3*v + 236 = -x - 356. Calculate the common denominator of (x\/(-33))\/(-1 - 0) and 23\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-780)\/(-234)*15\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 698239942 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91877 is divided by 1209?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-4 + sqrt(343) + 5)**2 + sqrt(14)\/(1*sqrt(128)).\nAnswer: -1679*sqrt(7)\/8 + 3112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 63 + 58 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 11*c + 88 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 569*s - 566*s + 1134*s.\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2155 (b) 2\/9 (c) 4 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -206629738 minus -0.43?\nAnswer: -206629737.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12*l = 44. Suppose -3*o + 46 = -2*b, -5*b + 36 = l*o - 10. What is the highest common divisor of o and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 26 = -3*g, -2 = 3*m + 3*g + 7. Let x = 3915 + -3910. Put m, x, 2 in descending order.\nAnswer: x, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -4*h - 28. Solve h*y = -2 + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(975) + -1*sqrt(312)\/sqrt(8))\/((-4*(sqrt(108) - sqrt(108)*-3) - sqrt(108))*-6).\nAnswer: -4*sqrt(13)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*t + 7, 31*x - 4*t + 1 = 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 14*k + 9. What is the lowest common multiple of 11 and p(14)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 93*i**6\/2 + i**4\/2 - 25*i**2 - 10*i + 685. What is the second derivative of c(n) wrt n?\nAnswer: 5580*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 1455*b**3 - 132273*b**2 + 25837947*b + 3618855144.\nAnswer: -3*(b - 136)*(b + 207)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11768155, -23536312, -35304469?\nAnswer: -47072626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1419150580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/((308\/(-36))\/7)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86\/3 + 28. Suppose -4*o - o = -20. Let w be ((-3)\/(-14))\/((-3)\/o). What is the closest to w in -0.04, q, 1\/8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*k*t - 380*k - 14*t wrt t?\nAnswer: -16*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 3*n**2 - 5*n + 1. Let y(o) = -5*o**3 - 8*o**2 - 14*o + 3. Suppose 72 = 4*l - l. Let v be (l\/(-10))\/(15\/(-50)). What is v*t(x) - 3*y(x)?\nAnswer: -x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5489369969?\nAnswer: 5489369969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -3016, -10377, -24708, -48331?\nAnswer: -83568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10)*1 + 9\/(-15). Which is the nearest to -0.1? (a) -1 (b) 4\/3 (c) 36 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131250789 by 709.\nAnswer: 185121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(605) - (sqrt(605) + -3))**2 + -4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 35*r - 1080. Give n(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*l**2 - 938*l**2 + 395*l**2 - l**3 + 2*l**3.\nAnswer: l**3 + 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*22\/924)\/(10\/21)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:35 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64662263387 minus -10439?\nAnswer: 10439.64662263387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 159*r**3 - 1713*r**2 + 2641*r - 1083.\nAnswer: -(r - 19)**2*(r - 1)*(4*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1041, 870, 579, 162, -387?\n\"Answer: -b**3 - 54*b**2 - 2*b + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5190 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 149313, 597272, 1343867, 2389098, 3732965, 5375468, 7316607?\n\"Answer: 149318*d**2 + 5*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6083164, -24332688, -54748562, -97330786, -152079360, -218994284, -298075558?\nAnswer: -389323182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19*-1.506\nAnswer: -28.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 16. Let f be c(-10). Solve 3 = -3*m - 2*u + u, -f*m + u - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (20 + -10) - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kkkklnnnnl.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - o**2 + o - 1. Let k(t) = 222*t**3 + 2*t**2 + 3*t + 17. Let r(a) = k(a) + 2*x(a). Find the second derivative of r(w) wrt w.\nAnswer: 1356*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/83 + 23\/1660. Let q(x) be the third derivative of 0 + a*x**5 + 0*x - 4*x**2 + 0*x**4 + 0*x**3. Let s(b) = -2*b**2. Give s(q(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 8, z: 4}. Give prob of sequence poo.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -21. Let w be (d + 0)\/((-21)\/(-84)). Let f be ((-10)\/(-1))\/(-2) - 0. Does w = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 2. Let i be h(2). Let r be (-64)\/22 + (0 - (-2)\/(-22)). Which is the fourth smallest value? (a) 2\/19 (b) i (c) 1\/4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 141797*h + 1 + 141808*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001837 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6370 is divided by 1059?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4260, -4520, -4690, -4764, -4736, -4600?\nAnswer: -4350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p + 4 = 0, 36 = 5*p + 11. Suppose 0*t - o = -3*t - 3*b, -2*t - 1 = -b. Solve t = -4*f - 3*x - 1, 2*x = f + f + 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + (sqrt(45)*-4 - sqrt(45))\/sqrt(9) - ((sqrt(30)\/sqrt(6) - sqrt(5)) + sqrt(5) + 0)) + -4.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -2 + -4)*-36. Suppose -348 = -3*j + p. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 11. Let q be c(-8). Let o be (q - -6)\/(-1 - -2). What is the derivative of -v**4 - o - 3*v**4 + 3*v**4 wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 439\/9. Suppose -3*v - 27 - 9 = 0. Let l be ((-2)\/(-2))\/(v\/9). Which is the nearest to f? (a) -4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32385, 32382, 32379, 32376, 32373?\n\"Answer: -3*z + 32388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 - 3*n**3*u**3 - 4*n**2*u - 5*u**3 + 3*u**2 wrt n?\nAnswer: 8*n**3 - 9*n**2*u**3 - 8*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-38 - -36 - 13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 - 54.73?\nAnswer: -864.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8764, -36103, -81638, -145369, -227296, -327419?\nAnswer: -445738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 11) in base 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 224825 (base 9) to base 16\nAnswer: 20e97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928, -1279, -1838, -2605?\nAnswer: -3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -2887, -6543, -11681, -18313, -26451, -36107?\nAnswer: -47293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13498.812 times 5\nAnswer: -67494.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0541, -3\/4, 0 in ascending order.\nAnswer: -3\/4, 0, 0.0541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -58896200 to the nearest 100000.\nAnswer: -58900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0 + w**2 + 3 + 3. Let d be l(0). Suppose -d*i + 40 = -i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2298 and -59\/38.\nAnswer: 43662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {k: 7, m: 3, e: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5 - 15) + 12)\/2. Solve -10 + p = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -19906.\nAnswer: -497650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (11 + -9 + (7 - -50))) + 6?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o - 222. What is m(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from pjpppjjsjpsjp.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(3 + 6*(1*sqrt(153)*-4 + sqrt(153)))*-5*-3)**2.\nAnswer: -1166400*sqrt(17) + 178491600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t - 2341 - 1427 = 1903 + 1961 for t.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = -25. Let s(b) = -3*b - b**2 - 5 - a*b - b. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -157*j**2 - 2*j - 4. Let l(r) = 315*r**2 + 5*r + 10. Calculate -2*l(o) - 5*w(o).\nAnswer: 155*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 324, 340, 358, 378, 400, 424?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13731*q**2 - 13731*q**2 + 126*q**3)*(-4 - 12 + 7)*(0*q**2 + 4*q**2 + 2*q**2 - 2*q**2).\nAnswer: -4536*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 0*s - 8*s)*(1 + 2*s - 1) to the form h*s + m*s**2 + g and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let w be o(2). Suppose -w*i + 50 = -13. Calculate the greatest common factor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2648 + -2646.7404. Let t = a + -1.23. Round t to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8044.21 millennia in years?\nAnswer: 8044210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10519, 85017, 287473, 681865, 1332171, 2302369, 3656437?\n\"Answer: 10663*j**3 + j**2 - 146*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 31*d**2 + 2*d + 3. Let r be g(-2). Suppose -r - 61 = -4*x. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(12\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 218*v + 3172.\nAnswer: -2*(v - 13)*(v + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28708044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3469799 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.68 * -32985.\nAnswer: 1011979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 37*s**6\/120 + s**4\/12 - 445*s**2. Let t(n) = -n. Determine j(a) + 2*t(a).\nAnswer: 37*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 8. Let n(u) = -u. Let v(g) = -2*n(g) + p(g). What is the first derivative of v(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*k**2 + 3360*k - 443*k + 210*k**2 - 75*k**2 - 69*k**2 to h + c*k**2 + x*k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -340*l**2 + 339 wrt l?\nAnswer: -680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 37254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*r - 114*r + 4977414*r**2.\nAnswer: 4977414*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -36. Let d = 90 - j. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29960.080809 rounded to the nearest 100?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -690802, -0.5, 2\/9 in descending order.\nAnswer: 2\/9, -0.5, -690802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*a + 220. Suppose a*y - 30*y = -1736. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w - 96 = 3*s, 4*s + 254 = -5*w. Let n be (-32)\/(-6)*w\/(-36). What is the highest common divisor of 12 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 3 - (12 + -10 + 28)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 - 2. Let z(w) = -27*w**2 - 5. Calculate -11*g(j) + 4*z(j).\nAnswer: -9*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 214198057 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/11 - 8*z**3\/11 + 10*z**2\/11.\nAnswer: -2*z**2*(z - 1)*(z + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8828.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67700 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7389930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-9\/4))**(-12\/7)*((u\/(u*u\/(u\/(((u*((u\/(u**0*u)*u)\/u)\/u)\/u)\/u))*u*u)*u)**(-3))**(1\/11) assuming u is positive.\nAnswer: u**(573\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p = 15*p - 61. Solve -3*m + 16 = -2*s, p + 7 = -4*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.014? (a) -3 (b) 35.8 (c) 136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 - 8*t - 5. Let w be z(-4). Let u = -65 - -70.4. Let j = -0.4 + u. Which is the nearest to -1? (a) j (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 2\/9, 0.3, -101, 4\/3?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 4, 955, 1, -5.\nAnswer: -5, 1, 4, 107, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(2\/3))**(2\/29)*(s**(-2)\/s)**6 assuming s is positive.\nAnswer: s**(-1552\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 - 18*s + 40*s - 21*s.\nAnswer: -8*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-1252)\/4695)\/((-14)\/6 - -1). Solve 0 = -j*c - 5*c - 40 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-3)\/(-8) - (-13264006)\/16. What is x rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 8*z - 22)*(-1 + 0 - 2)*(-1 - 2*z**2 + 1) in the form i + l*z + r*z**2 + f*z**3 and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1117644 centuries in years?\nAnswer: 11.17644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 4*r - 6. Let p be x(5). Let y be (p\/(-4))\/((-27)\/(-24)). What is the closest to -0.1 in 0.5, y, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(((j*j**11)\/j)\/j)))**27)**(4\/19) assuming j is positive.\nAnswer: j**(1188\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a50 (base 16) in base 4?\nAnswer: 12221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 36599149087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -44) + -38 - (1 - (0 + 13))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82.8013 + 0.1013. Round z to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l**(-2\/7)\/l*(l*l\/(l**8*l))\/l**(-1\/5))\/((l**(-2)\/l)\/l**(-1)*(l**1)**(-2\/45)) assuming l is positive.\nAnswer: l**(-3793\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/18 - (-4)\/(-6). Which is the smallest value? (a) 4 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -47*r + 154 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 889800670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -190, -1374, -4386, -10078, -19302, -32910, -51754?\n\"Answer: -142*d**3 - 62*d**2 - 4*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419325 divided by 1295?\nAnswer: 83865\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7758827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*t**3 + t**2 + 117*t.\nAnswer: 624*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -390660 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-17\/5))**(-8)*(n\/((n\/n**29*n)\/n))\/n**(-2\/87) assuming n is positive.\nAnswer: n**(-2687\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230756 + 692285\/3. Let 1\/3*o**5 - 7\/3*o**4 + l*o - 6*o**3 + 3 - 2\/3*o**2 = 0. Calculate o.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-5) - (-4)\/10. Suppose 6 + 3 = -s - v, -2*v = 10. Put 1, s, t in descending order.\nAnswer: t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -b + 393, -4*b - 391 = -5*b + 4*a. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than 6\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/35 in -5, -20, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133 (base 5) to base 3.\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 18. Solve v*n - 3*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 3*n**2 - 2*n**2 - 2*n**2. Suppose -2*d + 3*d = -13. Let c(s) = 15*s**2 - 21*s. Let t(r) = d*u(r) - 6*c(r). Determine t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5929 divided by -49\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 833484 by 2.\nAnswer: 416742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5\/5 - 48*m**4\/5 + 39*m**3 + 102*m**2\/5 - 1008*m\/5 = 0.\nAnswer: -2, 0, 3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.23 - 2.4. Let x = 483.83 - 486. Let u = x - l. Put u, 5, 3 in decreasing order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g - 2. Let a be 115\/(-35) - 4\/(-14). Let u be p(a). Suppose 4*x + 6*d - 2*d - 36 = 0, -u*d + 26 = 3*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4*(5 + (-203)\/35). Let g be (75\/(-20) - -4)*(n - -2). Solve 5*i = a, -a = 6 - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56171147969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d + 4*d**3 + 9*d + (2*d + 5*d - 4*d)*(-d**2 + 4 - 4) to r + c*d**3 + h*d**2 + f*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - a**3 + a**3 + a**3 + 5*a**2 - 52*a - 6 + 17*a**2. Is o(-19) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(7*m**3 + 64*m - 20*m - 126*m).\nAnswer: 14*m**3 - 164*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23453753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311.2 + -311. Let q = 9 - 7. Which is the third biggest value? (a) q (b) -2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6680 and 20?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - -10010011?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 36 = -90. Suppose -g = -4*g + 6, -u = 5*a - g. Let p(y) = -y**2 - 8*y + 7. Let j be p(a). Let t(r) = r**3 - 8*r**2 + 9*r - 9. Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 243\nAnswer: -4\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 20*d**2 - d + 28. Determine l(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27997 or -363953\/13?\nAnswer: -363953\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111432162 is divided by 1437.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 25 + 19 = 0. Let i(x) be the third derivative of -x**6\/120 + x**5\/5 - x**4\/3 + 8*x**3\/3 - 2*x**2 - 7. Does 9 divide i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000073434 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -435029*c**3 + 107952*c.\nAnswer: -2610174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -4627.909897.\nAnswer: -4628.109897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -469*m**4 - m**3 - 125*m + 6051808 wrt m?\nAnswer: -1876*m**3 - 3*m**2 - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 3. Let u(o) = -329*o - 260*o + 567*o. Give u(n(k)).\nAnswer: 110*k**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.006 - -4.006. Let j(n) = n**2 - n - 3. Let p be j(0). Which is the closest to -2? (a) p (b) v (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1842001 divided by 2\nAnswer: 1842001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -35.9999972. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.28 - 0.28. Let x = t + -15.9. Let f = x - 1.1. Which is the closest to 2\/7? (a) f (b) 3\/5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + m = 216, -10*y + 15*y + m = 269. Suppose 0 = -52*x + y*x - 1. Sort x, -7, -5 in decreasing order.\nAnswer: x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*t + 4, -5*d + 5*t - 2 = -3*d. Let s = 434 - 439. Sort 3, d, s in descending order.\nAnswer: 3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 26869005*y - 80606970 = 0. Calculate y.\nAnswer: -5373798, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 12*v**2 - 12*v - 6. Let u be m(-11). Let j be (25\/(-45))\/(u\/(-6)). Which is the closest to -1? (a) j (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215 minus -0.5?\nAnswer: 0.5215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 187, 395, 603?\n\"Answer: 208*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/15 + 126\/35. Solve -3*g - 17 = -s*x, 0*g = -3*x - 2*g + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15705\/(-3060) - 30\/255.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213023 - 102?\nAnswer: 212321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 7*i - 2*i. Let o(q) = 70*q + 765. Let l be o(-12). Let r = i - l. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Suppose -4*n = -z*n. Suppose n = -2*b + 6*b - 140. What is the highest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -187, -269, -351, -433?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2069*d + 20682. Calculate v(-12).\nAnswer: -4146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*v**5 - 3*v**2 + 5 wrt v.\nAnswer: 3420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + 1*sqrt(84))*4 + (sqrt(84) + -1*sqrt(84) + sqrt(84))*5)*-1)\/(1*(((sqrt(588)*-1 - sqrt(588))*-3 - sqrt(588)) + sqrt(588))*1).\nAnswer: -13*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22664 and 32?\nAnswer: 90656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9081)\/(-21189) - -2*(-8)\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3*t**2 + 75. Let p(d) = -11*d. Calculate l(p(r)).\nAnswer: 66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -168 - -809?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*f = -2*f + 51, 9 = -3*f. Let y = 2.5 - 3. Let w = 348 + -347. What is the nearest to w in y, r, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 675794 - -48927. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 3*f = 7*v - 18, 0 = -3*f - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12657 and 18027787.\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2))**(-39)*(y**(1\/6))**32 assuming y is positive.\nAnswer: y**(-335\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/3607 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 1 + 4, -5*o + 30 = 5*p. What is the first derivative of 6 + l**4 + p*l**4 - 27 wrt l?\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) -2 (d) -69\/7 (e) -2\/9 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197953149?\nAnswer: 3, 349, 189067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*t**2 + 153*t**2 - 44*t**2 - 2*t - 285*t**3 - 53*t**2 to q + h*t**3 + y*t**2 + a*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + u. Let b = -16 - -11. Let z(n) be the first derivative of n**4\/2 - 5*n**3\/3 - 3*n**2 - 40. Calculate b*y(i) - z(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, -2*o + 0*t - 10 = t. Let v(j) = -8*j**2 + 5. Let d(s) = -39*s**2 + 26. Calculate o*d(k) + 26*v(k).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g - g)*(-19 + 36 + 7 + (-3 + 2 + 2)*(-6 + 5 + 11))*(0 + 0 - 14) in the form p + z*g and give z.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16424 + 5562 - 4870 = -389*w for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -255597 = -255475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45009 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.8 - 37.8. Sort 5, k, -4.\nAnswer: k, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2679427\/495 - 48724\/9. Let m = b + -1\/165. Let a be (-1)\/4 + (-51)\/(-12). What is the second smallest value in m, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23437+0.3\nAnswer: -23436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = -3*m, -319*m + 25 = 3*l - 320*m for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 2 + -5)**2 - sqrt(300)*3*1) + 4.\nAnswer: -90*sqrt(3) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17072 and 15520.\nAnswer: 170720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 9:15 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykku when four letters picked without replacement from xlxgxkkkkkyuxlklkxl?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1046 - -1042. Which is the second smallest value? (a) p (b) -2.4 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 11412?\nAnswer: 11411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 + t + 1. Suppose -5*q - 15 = -4*y, 0 = -3*y + 5*q - 1 + 16. Let n = y - -4. Let p = n + -5. What is l(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 13*q - 6. Suppose 5*v + 5*t - 50 = 0, 5*v - 4*t = -t + 82. Let b be ((-40)\/v - -2)*-14. Calculate the lowest common multiple of 14 and u(b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/90 + 67*i**5\/6 - 113557*i**4\/36 + 24790*i**3 - 73926*i**2 + 286*i. Factor g(c).\nAnswer: -(c - 333)**2*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2140.7 + 2241. Let h = j - 100. Which is the third biggest value? (a) -3 (b) -1\/9 (c) 2\/9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35024800 to the power of 1\/2, to the nearest integer?\nAnswer: 5918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1661.16 * -0.08\nAnswer: -132.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 37\/5, 44524 in decreasing order.\nAnswer: 44524, 37\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 2 y when four letters picked without replacement from dhdddjrdddydrysdrss.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(2*-15 + -5). Suppose 0 = -2*v - 4*o + 8, 0*v - 5*v + 5*o = -50. Suppose -v*k - w = -15*k. Solve k*d - d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 12. Let x be b(5). Let n = -5 - x. Find o such that 9*o + o**2 - n - 8*o + 0 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8628.615 seconds in milliseconds?\nAnswer: 8628615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 589*i**2 + 1035*i**2 - 497*i**2 as h*i + c + j*i**2 and give j.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8906?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4709451?\nAnswer: 3, 1569817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 3*x - 537, 0 = -3*u - 5*x + 319. Which is smaller: u or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485.294mm in centimeters?\nAnswer: 148.5294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8712\/(-45))\/((-8)\/80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 454 = g, 5*g - 4 = -14. Calculate the remainder when b is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 107 = -4*h. What is the remainder when 37 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.2781 decades in months?\nAnswer: 18033.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 4*o**2 + o**3 + o**2. Let i be q(-4). Let d be 6\/(-4)*i\/(-6). Solve -x + d*g = -6*x - 9, 5*x = 3*g - 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -174, -394, -702?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 31 + 33. Let h = -861\/104 - -80\/13. Find the common denominator of (2 + (-10)\/k)\/(24\/(-1136)) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*t - 4*f, 2093*f - 12 = 2089*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649346*t - 1298688*t + 444*t**2 + 649342*t.\nAnswer: 444*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7471462133 to the nearest integer?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2273, -4547, -6823, -9101, -11381, -13663?\nAnswer: -15947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*u**3*x**3 - 2*u**3*x**2 + u**2*x**3 + 884*u*x**2 wrt x?\nAnswer: -150*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)\/k**(3\/4))\/(k**(-1))**(-13\/2) assuming k is positive.\nAnswer: k**(-385\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 35 in decreasing order.\nAnswer: 35, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*t**4 + 20*t**5 + 16*t**5 - 37*t**5 + 2*t**2 + (-t**4 - 2*t**4 + 5*t**4)*(4 - 4 + 1 - 1 + 0 + 2 + (-3 + 2 + 2)*(0 + 3 + 1))*(10 - 10 + 25*t).\nAnswer: 299*t**5 - 15*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 - 5*v - 6*v**2 - 6 + 0*v**2. Let f = -23 + 42. Suppose -5*g = -2*y + 10, -4*y + g + 3 = f. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 2*t**4 + 0*t**4)*(1 + 1 + 1)*(2 - 5 + 1).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 19 = 4*c - x, -5*x - 25 = 0. Let k be c\/(2\/(-16 + 4)). What is the units digit of (k\/9)\/(8\/(-612))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281680 is divided by 519?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -4*n + 4*y, n + 0*n + 5*y - 158 = 0. Let j = -63 + n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z + 1. Suppose -5*y + r = -r + 28, -4*y = -2*r + 24. Is p(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/16 + (24 - ((-1167)\/244 - -28)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 49*o - 84 = 0. Solve -3*p + p - o*j = 2, -5*p - 2*j + 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 30. Suppose 265 = z*m - a - 669, -4*m + 751 = 3*a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -183*o**3 + 8*o**2 + 4*o - 4. Let f(s) = -367*s**3 + 14*s**2 + 7*s - 7. Calculate 4*f(h) - 7*n(h).\nAnswer: -187*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 12. Let u be 2*(-2 - 4\/(-8)). What is the remainder when c(u) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6307 and 24633.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by 4352.\nAnswer: -257\/4352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - ((-2 - -24) + (301 - 359))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 4*m = -18, -u + 2*m - 12 = 0. Let o = -15.3 - -14.9. Let s(k) = 2*k + 7. Let w be s(-4). Which is the nearest to w? (a) o (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14892 smaller than 14405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11132*i**6 + 571*i**2 - i?\nAnswer: 1335840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2, -1341, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 9*q**3 + 15*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 19533*m**2 + 39068*m.\nAnswer: -m*(m - 2)*(m + 39068)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19236 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4196 = 4*j - 39*r + 41*r, j - 3*r - 1035 = 0. What are the prime factors of j?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 38 = 3*z, -3*p + 3*z = -18 - 6. Let v(u) = u + 8 + p + 1 + 3 - 11. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:04 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (4*2)\/(-1). Let v(m) = -7*m**2 + 0*m**2 + 6 + m**3 + 14*m**2 + m**2. What are the prime factors of v(p)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1) + 24 + -27. Let z(i) = 34*i + 124. Let d be z(c). Solve d = 6*o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7684 or 7683?\nAnswer: 7684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from {f: 1, s: 9, n: 2, l: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93*(-27)\/((-3402)\/42).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25 = -9*m. Suppose -m*r + 2*r + 126 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-65527)\/259)\/46552)\/((10\/(-32))\/1).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 0 + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(6897) + sqrt(6897)*2)\/sqrt(3).\nAnswer: 5 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1280427343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 - 3713*p**3 + 3429841*p**2\/3 + 3455877*p + 6926642\/3 = 0.\nAnswer: -2, -1, 1861\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3840223, -7680445, -11520667, -15360889, -19201111, -23041333?\n\"Answer: -3840222*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*p**3 - 90*p**3 - 100*p**3 + 452*p**3 - 52*p**3 - 98*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4095 < -4096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let v(a) = -183818*a. What is v(m(l))?\nAnswer: -183818*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3*z + 13, 30 = 4*m - 2*z + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -8. Let m = 699592 - 699476. Calculate the remainder when m is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*y - 229*y + 5*t - 14 = 0, -2*y = -5*t + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18614513?\nAnswer: 18614513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949826 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {w: 3, s: 5, y: 4}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o + 5. Let p be y(0). Solve -4*q + 8 = -4*g, 0*g + 4*q - 13 = p*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13.6605 millennia?\nAnswer: 1366.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 201096?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -132*f**2. Let k(i) = 453*i - 917*i + 462*i. What is s(k(w))?\nAnswer: -528*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 629203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3 - 1 - 1 + 1 - 2 + 3 + 1 + (-3 + 2 + 2)*(5 - 3 - 1) + 1 + 2 - 2)*(1121 + 33*h - 1114 - 12*h)*(2*h - 3 + 3) as i*h + t*h**2 + b and give t.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(11\/5 + -2). Let o = k - -7. Let l be -1*2\/(-1) + 5. Solve -j + l = -3*r, -r = 4*j + 22 + o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*y**3 + 5955*y**2 + 50*y = 0. What is y?\nAnswer: -10, -1\/119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 450. Let k be (40\/18)\/10 - (-124)\/o. What is the second biggest value in k, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -82733 and -0.67611?\nAnswer: 82732.32389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/6200754 and -44\/27?\nAnswer: 55806786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Suppose 21 = -n*o - 5*t - 18, -4*o = -t + 29. Let h(x) = -x**3 - 8*x**2 + 3. List the prime factors of h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/8)*w)\/(w*w**(2\/9)*w)*(w**0)**(-4\/21) assuming w is positive.\nAnswer: w**(-43\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -44*h + 388. Let u be m(6). Solve -u*t + 40 = -164*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -132, -251, -370?\n\"Answer: -119*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 0*f - 2*f - 28, 0 = -3*f - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + l**4 + 3 + (2*l**3 - 4*l**3 + l**3)*(1 - 2*l - 1) + 3*l - 3*l - 2*l**4 - l**4 + 5*l**4 - l**4 + (-1 - 3 + 5)*(25*l - 61*l + 23*l)*(0 + l**3 + 0).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*l**3 + 106668*b**3*l**2 - 35*b**2*l**3 - b**2*l**2 + 2*l**3 wrt l?\nAnswer: -18*b**3 - 210*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264 + 1204 = 4*g - l, 0 = 5*g + 4*l + 75 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 9*m + 35. What is n(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4017 - -8738. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 33640 = 2*g + 2*g, -o + 25231 = -3*g. What is the hundreds digit of 16\/88 + g\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-33) + 2\/(-3). Suppose -4*y + 5*y + 9 = -3*n, -5*n - 26 = -m*y. Differentiate 0*g**y - 3*g**3 + 4*g**3 - 2*g**3 - 10 with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-7) - (-984)\/42. Is 28 a factor of 4\/g*(1158 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b47 + -1?\nAnswer: -1b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 26*s**3 + 958*s**2 - 80*s + 2556. Determine c(-37).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**2 + 16 - 16)*(5*x**2 - 4*x**2 - 2*x**2) + (2*x**3 + 0*x**3 - 3*x**3)*(-3*x + 6*x - x) + 4*x**3 - 2*x**4 - 4*x**3 - 5 + 0*x**4 + 3 - 2*x**4.\nAnswer: x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**14\/(f\/f**(-9)))\/(f\/((f*f**(-6\/13))\/f)*f*f**(-5)) assuming f is positive.\nAnswer: f**(85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 19. Calculate o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 600133.01 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**3 - 134*l**2 - 332*l + 4815. Determine t(15).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3430 + 3456. Calculate the remainder when 90 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5*f**3\/6 + 19*f**2\/2 - f. Let l be z(0). Let c = 5 + l. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from jpjmjjujj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/4 + 11*y\/2 + 21\/4 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998631937.\nAnswer: 3, 7, 142791997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 557 - 2782\/5. Which is the biggest value? (a) q (b) -1 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 12*o + 12. Let l be j(-5). Let v = 1.02 + -1. Let f be (-70)\/(-21) - 5 - -1. Which is the third smallest value? (a) f (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + 101010111010?\nAnswer: 101100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (313*l + 1 - 335*l + 2)*(3 - 3 - 2*l) - 4*l**2 - 3*l**2 - 6*l**2 + 3*l**2 + l**2 - 3*l**2 in the form m*l**2 + f*l + s and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 5. Let y be s(-4). Suppose -5*o + y = -1. Is 6 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5198 = -3*q - 5308, 0 = -22*t + 5*q - 484 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-20)*((-75)\/(-6))\/5. Suppose -s = 4*k + 3*s - 13168, -a*k + 3*s + 6559 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 14275338*z**5\/5 - 13007896*z**4\/5 - 154863238*z**3\/5 + 7701444*z**2 + 1781568*z\/5 + 19008\/5 = 0.\nAnswer: -3, -12\/583, 2\/7, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147544014?\nAnswer: 2, 7, 11, 13945091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -34*p**2 + 589*p - 77. What is the remainder when 6818 is divided by n(17)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in 3\/5, -1, 8\/5, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 50.2?\nAnswer: -50.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/3 - 91*u**2. Let c(t) = 11*t + 35*t - 42*t. What is c(s(n))?\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 4*f + 4*f + (2*f - 3*f - 5*f)*(-2*f**2 + 4*f**2 + 0*f**2) - f**3 + 4*f**3 + f**3 as c + z*f + p*f**2 + y*f**3 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g - 1 - 7*g**2 + 6*g**2 - 16*g - g**3 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 2*m**2 - 6. Let j be s(-3). What are the prime factors of j + (-1 - 15\/(-3))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10294 by -5147.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4419 + 8 + 895 - 2449 + 0*d + 2*d to o*d + k and give k.\nAnswer: -5965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) 34 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-78))\/((-2)\/(-6)). Let r(f) = -5*f**3 - f**2 - f - 1. Let h be r(-1). Suppose 5*g = h*b - 2 - 10, 3*b - 9 = 0. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmllmlmllll. What is prob of sequence mllm?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3*y - 4. Let f(t) = -2*t**2 + 3*t - 3. Let w(d) = 2*f(d) - 3*r(d). Suppose -4*o + 10 = -6*o. What is w(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*m - 194, p - 61 = 2*m - 5*m. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnkttnwtdttnnnktnwn. Give prob of picking 1 n, 1 w, and 1 k.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.33 (b) -0.31 (c) -0.3 (d) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(6\/(-16))\/((-2676)\/11596).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 7*x**5\/60 - 297*x**4\/4 - 255*x**3\/2 - 411*x**2. Factor v(d).\nAnswer: (d - 255)*(7*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 475, 0, 9, -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - i + 983*i**4 - 984*i**4 + 96*i**2 - 98*i**2 - i**3 + 6 to the form q*i + l*i**2 + r*i**4 + n*i**3 + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.20957 rounded to zero dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooz when four letters picked without replacement from {o: 4, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 - 38. Let q = 14 + -2. What is the greatest common divisor of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191*o + 515 - 258 - 256)*(-5*o + 5*o + 3*o)*(1 - 2 + 3) to the form v*o**2 + l + u*o and give v.\nAnswer: -1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 - 32 = 0. Let u be -3 - 1*(-1 + t). Let r be u\/(-3) - (-2)\/(-6). Sort r, -5, 2 in ascending order.\nAnswer: -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1393)\/(-5572))\/((-2)\/536).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzfsfzyfs. What is prob of sequence yf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 5*x**2 - 2*x - 3. Let w be t(-5). Suppose 5*c = -4*a - w, 3*a - 5 = -14. Solve 2*u + 10 = 4*y, -3*y + c = -u - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2055*s**3 + 64*s - 2059*s**3 - 25*s.\nAnswer: -4*s**3 + 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from {a: 7, d: 1, k: 4, j: 2, o: 3, v: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (13 - (-2 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + (sqrt(304) - (sqrt(304) - ((sqrt(304) - 1*sqrt(304)) + 4)))))**2*-5 + 2)*-4 + 2.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 33*a**2 + 4 - 2 - 35*a**2. Calculate x(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, d: 4, t: 1, r: 3}. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758463.\nAnswer: 3, 37, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.5 + -30. Let w = 1 + 0. What is the smallest value in -3, -2\/31, a, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467502637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l = 32. Suppose 0 = l*g - 7178 - 4982. What is g rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/3051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -40, 9 in increasing order.\nAnswer: -40, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3542\/46*2*2\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1588205*v + 212572?\nAnswer: 1588205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q)**39\/((q*q*q*q**(-1\/7))\/(q\/(q*q**(6\/13)))) assuming q is positive.\nAnswer: q**(12107\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1363*d**3 - 1680*d**3.\nAnswer: -317*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 5*i - 8)*(-1 + 3 - 3) + 112 - 112 - 28*i - 1 + 2*i + 1 + (0 + 3 - 5)*(i - 3*i + 0*i) + (5*i + 3*i - 5*i)*(7 - 4 - 1) as g*i + c and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 + -215. Let n = -0.05 - -0.25. Let m = 4.8 - 3.8. Which is the third smallest value? (a) q (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 2*k + 9. Let w(f) = 41*f - 328. Let s be w(8). Let c be a(s). Solve -l + c = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109837337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 50*p + 2513. List the prime factors of c(54).\nAnswer: 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0 + 1\/6*j**3 + 155*j + 21\/2*j**2. Calculate d(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**8\/4480 - y**7\/840 + y**4\/3 - y. Let z(v) be the third derivative of s(v). Determine x so that z(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2572\/2430 + 4\/(-10). Let x = z - -2\/243. Let d = 907 - 913. Which is the second biggest value? (a) -4\/5 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3382849 is divided by 29416.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofs when three letters picked without replacement from susfuudxuoddss.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 62*d - 80. Give o(-28).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11599.\nAnswer: 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 680 = 5*k, c - k = 2*c + 144. Is ((-753)\/(-12))\/((-5)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (506\/(-88))\/(1\/(-116)). Calculate the highest common divisor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 18*x + 8*x - 90. Let r(v) be the second derivative of -16*v - x*v**2 + 5\/3*v**3 + 0. Differentiate r(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3519, -3520, -3521?\n\"Answer: -z - 3518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166695 is divided by 741?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-3*r**3 - 4*r**3 + 3*r**3) + 3*r**3 + 3*r**3 - 3*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 497\/(-4)*(-12)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 1. Suppose 2*l + 5 = 3*l. Let u(v) be the second derivative of v**3\/6 + 12*v. Determine l*u(g) - i(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -3, 22, 2 in descending order.\nAnswer: 22, 20, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*d**6*v - 104*d**3*v**3 - 2*d**2*v + 5151*d*v**3 - 3*v wrt d.\nAnswer: 13320*d**3*v - 624*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 3 - 3)*(-6 + 1 + 3) - k + 0 + 0 - 5*k + 4*k + 2*k + 4 - 4 + 3*k as q*k + v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4, -6*t + 2*p = -7*t + 783. Let g = -529 + t. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqacobpc. What is prob of sequence qabp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 + 51516*c**2 - 206028*c + 206016 = 0.\nAnswer: 2, 17168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h + 18. Let p(i) = 10*i + 15. Let s(a) = 29*a + 44. Let l(g) = -17*p(g) + 6*s(g). Let j = -7 + 12. Let z(y) = j*l(y) - 3*b(y). Determine z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - n + n. Let b be (-198)\/(-33) + (-8 - -1). Let i be a(b). What is i rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6622*d + 6629*d - 903*d**2 + 6620*d - 19871*d.\nAnswer: -903*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -140?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18) + -1)*9\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2485280 and -0.4.\nAnswer: 994112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from jqyqjyqqyyqqqy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9567274 to the power of 1\/2, to the nearest integer?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222 + -112233010233?\nAnswer: -112233013121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 34. Suppose 5 - 1 = -5*g + 2*n, f = -g - 5*n. What is the units digit of 2 + g + 0 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.07 (c) -2 (d) -4 (e) -2993\/17 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 249 in ascending order.\nAnswer: -8, 4, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 59 - 116 = 14*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 2*v - 1. Suppose g + 4 = -3*g. Let r(s) = -s**2. Let m be 1\/((-1)\/(-4 + -1)). Determine g*n(i) + m*r(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*q**2 - 4)*(-2*q + 0*q + 3*q) + 6*q**3 - q**3 + q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125437924.9833757 and -2.\nAnswer: -125437926.9833757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*f**4 - 3385*f**2 - 1 + 3381*f**2 + 15*f as g*f**2 + q*f + l*f**3 + j*f**4 + i and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -42. Let n = -26 - j. Let w = -8 + n. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/38 and 59\/2167622?\nAnswer: 41184818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1882 = 5*z, 312 = -2*z + o + 1070. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13460361, -26920719, -40381077, -53841435, -67301793, -80762151?\n\"Answer: -13460358*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 + 22*x**4 + 14*x - x**2 - 11*x - 16*x**4 + 958 - 984 wrt x.\nAnswer: 72*x**2 - 12*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 8*l. Let o be w(10). Let g = -11 - -31. What is the highest common factor of g and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 11*z**2 - 6*z**2 - 33*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - 0) + 71 - 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + x - x**3 + 0*x)*(1790*x + 1434*x - 2691*x - 6*x + 3*x + 2*x + (-5 + 1 + 3)*(2*x - x + x)).\nAnswer: -530*x**4 + 530*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 6\/13, -1\/2, -1.3, -2\/5 in decreasing order.\nAnswer: 6\/13, -2\/5, -1\/2, -2\/3, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + ((-1 + sqrt(147))*-2 + sqrt(147) + 2 + sqrt(147)*4)**2).\nAnswer: 1008*sqrt(3) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 623?\nAnswer: -186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let f = 0.01 + -0.44. Let u = 0.07 - f. Which is the third biggest value? (a) d (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let t(j) = 11*j**3 - 9*j**2. Let c(z) = 2*k(z) + t(z). Let m(n) = 6*n**3 - 4*n**2. Determine -4*c(s) + 7*m(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 3 + c**2 - 1 + 9. Suppose 5*p + 20 + 10 = 0. Let f be y(p). Solve 2*l + n + 10 = 0, -l - 3*n = -6*n + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 11*t**2 - 7449*t - 52293. Calculate c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*i - 2*a**2 - 44085*a*i + 45445*a - 1 wrt i?\nAnswer: -a**2 - 44085*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 24 - -17)\/((-1)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860647 is divided by 395.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3430 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -40.1. Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -766 and 0.032?\nAnswer: -24.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5769a6 (base 13) in base 16?\nAnswer: -1f9abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.569075 to two dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5845*l - 2697 = 5758*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.00764 + -0.00175. Round l to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -298, -605, -1020, -1537?\n\"Answer: t**3 - 63*t**2 - 11*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/77 - 85\/308. Let g = 27 + -27.1. Sort 1, p, g.\nAnswer: p, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 34 + 10 - 65*w**3.\nAnswer: -65*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 - 8.594.\nAnswer: 28.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - (47 - 54)) + 18865 + -1.\nAnswer: 2, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71*0.16532\nAnswer: -11.73772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 3774.\nAnswer: 41514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + 15 - -11) + -31 + 14?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/360 - r**4\/18 + 4*r**3\/9 - 3*r**2 - 4. Let v(i) be the second derivative of g(i). Find w, given that v(w) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, q: 10}. Give prob of sequence qqqc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - 3*f - 7. Let a be k(6). Let d be ((-15)\/a)\/(2\/10). Suppose 171 = 2*j - i + 60, -d*j + 144 = 3*i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/49*0)\/(-3). Is -0.405 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2\/7 - 4089*x\/7 - 32904\/7 = 0. Calculate x.\nAnswer: -8, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 243\/1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26175465 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -34. Suppose 2*y - 4*t - 14 = s, 4*y + 2*t = 4*t + 22. Suppose y*v - 17 = 3*z, -4*v - 3 - 9 = 4*z. Let f(c) = 4*c + 1. Calculate f(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20100210 (base 3) to base 15\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 - 204. Let o be y\/1 - (0 - 138\/54). Factor o*a**2 - 2\/9*a**3 + 4\/9*a - 1\/3.\nAnswer: -(a - 3)*(a + 1)*(2*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 20. Let a = b - -1.64. Let c = a - -0.3726. Round c to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -5 - (0 - -2). Suppose -5*o - m = 1. Sort -3, 0.2, o in decreasing order.\nAnswer: 0.2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5724 and 7200.\nAnswer: 1144800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3310, -3374, -3438, -3502, -3566?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -300223034 (base 5) to base 7\nAnswer: -13012363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.829437 - 0.2177732.\nAnswer: 30.6116638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41926524 by -6.\nAnswer: -6987754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = -203*s + 207*s. Let f(j) = 181 + s + j - 373. Let i be 1 - (-2 + 0 + -1). Determine f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (12 + -17)) + 23 + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30247636 + -3?\nAnswer: 30247633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3792, -2763, -1028, 1413, 4560?\n\"Answer: 353*f**2 - 30*f - 4115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -962494 - -1984701\/2. Let j = -29182 + z. Let n = -700 + j. Find the common denominator of n and -29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:11 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10009 divided by -23\nAnswer: -10009\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i**2 + i)*((0 + i + 0)*(i**2 + 1 - 1) + (-3*i**2 - 28*i**2 + 2*i**2)*(-i + 0*i + 3*i + 1 - 1 + i + (0 + 0 - 1)*(-6*i - i + 5*i))).\nAnswer: 432*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**4 - 6*p**3 - 6*p - 4. Let g(c) = c**4 + c**3 + c. Let d(u) = 6*g(u) + j(u). Differentiate d(f) wrt f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) - -1*sqrt(504))\/(2*sqrt(1152)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 - 4*g**4 + 2*g**4)*(2 - 1 + 2) + g**3 - g**3 + 2*g**4 - 661*g**4 + 690*g - 690*g.\nAnswer: -665*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 + 260*o + 1072 = 0?\nAnswer: -4, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-42185)\/708 - (8 + 123\/(-12)).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 8822750.\nAnswer: -617592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, -10, 2, -15, 87 in increasing order.\nAnswer: -15, -10, -3, 0, 2, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -2999 + 3159. Suppose 14 = 3*k - 16. What is the highest common divisor of v and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56.14, -3\/115, 0.1, 1\/6, 2 in descending order.\nAnswer: 56.14, 2, 1\/6, 0.1, -3\/115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2363 + 2384. Does 101 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190385555*m*s**3 + 316481*m*s**2 - m*s + 15*m wrt s?\nAnswer: -1142313330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9166767?\nAnswer: 3, 3055589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(17) + sqrt(1377)*1 - sqrt(17)) + sqrt(612)*2 + sqrt(17) - ((sqrt(612) - 2*sqrt(612)*-3) + -3))**2.\nAnswer: -120*sqrt(17) + 6812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + -89.6. Let s = 28 + i. Let h = 64.00033 + s. Round h to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:07 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 40*j = -48. Sort 5, -1\/7, j in increasing order.\nAnswer: -1\/7, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5416 is divided by 319?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -1. Let u be (-56)\/98*z\/2. Solve -2*m - n = 9, -u*m = 3*m + 4*n + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - (-2420)\/44 - 22\/2?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = 4*g. Let x be (-83)\/g - (-102)\/(-68). Solve -y - x = 7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469779083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 12, 4*q + 3*b = 2*b + 140. Solve 29 = -21*i - q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 + c**3\/3 - c**2\/2 + c. Suppose -3*o + 4*o = -2. Give a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 625\/2 + -1542\/5. Let z = 341 - 483. Find the common denominator of z*(-1)\/20 - 2 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40200*t**3 + 128679*t**3 + 107764*t**3.\nAnswer: 276643*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4972 + 5095. What is the lowest common multiple of 429 and v?\nAnswer: 17589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**6\/30 + d**5\/20 - 27*d. Factor i(g).\nAnswer: -g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3*r**5 - 171*r**4\/16 + 91*r**3\/4 - 9*r**2\/4 - 6*r + 192. What is t in y(t) = 0?\nAnswer: -4, -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1.73. Let y = z - -0.13. Sort 2, y, -4 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 9*y**2 + 9*y + 16. Let j be s(-10). Suppose j*u - 108 = 30*u. Let a be (-2 - 28)\/(u\/6 - -3). Solve -v - 2*c = 3*c + 22, -4*c - a = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 10227497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 4*b - b + 3*b - 3*b - 6*b + 3*b + 4*b - b - 4*b + 3*b + (1 - 2 - 1)*(b + 0 + 0) - 1 + 1 - 2*b - b + 0*b - b - 4*b + 5*b + b)*(0*b + 0*b + b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y + 49. Let o be i(9). Calculate the greatest common divisor of 50 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1850 + 1844. Let g(c) = -9*c**3 - 8*c**2 - 6. Let m(w) be the third derivative of 17*w**6\/120 + w**5\/4 + 11*w**3\/6 - w**2. Give k*m(o) - 11*g(o).\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170397741 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)*j**41*((j*j\/(j\/(j\/(j\/(j*(j*j**(-1\/2)*j)\/j*j*j*j*j*j)*j))))\/j)\/(j\/j**24))**(-23\/2) assuming j is positive.\nAnswer: j**(-4807\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -59. Let y = -6 - j. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 762 + 759 - 2282 + 761.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314658388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -41*t + 2 - 1 + 42*t. Let j(g) = -2*g - 3. Let h(k) = k**2 + 13*k - 20. Let y be h(-11). Let p = y + 49. Determine p*u(b) + 2*j(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33892543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.47 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 + -10)*(-2 + (-7)\/(-3)). Let b be (2*(0 + 2))\/1. Suppose 0 = -z*v + b*r + 24, -4*r - 20 = r. Solve 5*p + 13 = -k, -5*p - k + v*k = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-6) + (3 - 6). Suppose -13*u + 14 = -11*u. What is the third smallest value in n, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**7\/210 + l**6\/30 + l**5\/10 + l**4\/6 + 16*l**3\/3 + 17. Let z(p) be the third derivative of v(p). Factor z(k).\nAnswer: 4*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -17. Let r(s) = s**2 + 2*s + 8. Is 20 a factor of r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*b - 914*b + 1380*b + 2.\nAnswer: 1234*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636857896.\nAnswer: 2, 11, 52691567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 5*m - 20. Let k(j) = j**2 - 4*j - 4. What is the lowest common multiple of k(5) and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/24*1*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -8 - (-3 - (4 + -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 87 + 72*a**2)*(-1 - 4 + 4)*((0 + 3 - 1)*(1 + 2 - 2) - 5 - 1 + 3).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1972\/170)\/((-2)\/(-5)). Solve 15*j + 16 + h = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -708 + 702. Let y be 560\/(-63) - -4 - l. What is the nearest to 0.3 in 0.3, 5, 4, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u**3 + 3*u**3 + 6 + u - 6*u**2 - 12*u**3. Let x be t(-6). Solve x = -0*h + h + 3*l + 15, -3*l = -h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 120634*t + 9091*t + 32 + 50517*t. Let m be d(4). What is m rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9 and 77129?\nAnswer: -223674.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183825*z**4 - z**2 + 31673*z wrt z.\nAnswer: 4411800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048385989 rounded to seven decimal places?\nAnswer: -0.0000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*w - 5*p, 0 = -w + p - 16 + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -9*w + 14*w + 530, -3*w - 3 = 0. What is the greatest common factor of a and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(6\/7)*k)\/k)**27\/((k*k**(8\/9)*k)\/k**(3\/5)))**(-2\/5) assuming k is positive.\nAnswer: k**(-30148\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18))\/sqrt(6) - sqrt(3) - (sqrt(48)*2 - sqrt(3)) - sqrt(84)\/(-5*sqrt(343)).\nAnswer: -348*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(3*g - g - g) + 0*g + 2*g + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + 91 - (-12 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2921 and 2921 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -7127156?\nAnswer: -7127154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.28 + -0.9. Let r = t + -0.08. Let a be -1*-3*2\/(-6). Put r, -1\/4, a in decreasing order.\nAnswer: r, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2024116 (base 10) to base 14\nAnswer: -3a991a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -81*l**3 + 4*l**2 + 2*l + 279. Let j(o) = o**3 + o**2 + 2*o. Let f(n) = -j(n) + s(n). What is the first derivative of f(p) wrt p?\nAnswer: -246*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137136 + -65000. Suppose -2*h - 3*y = -2*y - 36066, y - s = -4*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.014, 2, -4, 0 in decreasing order.\nAnswer: 2, 0, -0.014, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95410 and 110?\nAnswer: 1049510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**5 + 11*d**4 - d**3. Let m(b) = -2*b**5 + 44*b**4 - 69*b**3 - 634*b - 3. Let h(r) = 4*l(r) - m(r). Find the second derivative of h(o) wrt o.\nAnswer: 120*o**3 + 390*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 3*z + 60, -105 = -5*w + 4*z. Solve 0 = 7*o - 2*o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x - x - x)*(2*x + 4 - 4)*(3 + 0 + 0) as y + j*x**2 + r*x and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15178 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328 or 657\/2?\nAnswer: 657\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -11, 2, 0, -3 in descending order.\nAnswer: 10, 2, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -93, -124?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 20700.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 324 = 50. What is the greatest common divisor of d and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7143.681 minutes?\nAnswer: 428620860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 40 = 4*o, 0 = 2*o - 0*o + 5*i - 15. Let y = 4 - o. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.3 (b) -3\/959 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8800 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -8*f - f**4 - 12*f**3 + 2*f + 15*f**2 + 4*f**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 90. Solve 3*g = 4*m - 2*g - 6, u = -5*m + 3*g + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(-283 + 23*n**2 + 283)*(-368 + 184 - 284 - 226).\nAnswer: 15962*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3211 times 1.1?\nAnswer: -3532.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*x**2 - 2686 - 193*x**2 + 2687 in the form l*x**2 + n*x + f and give l.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*g - 64 = -48, -4*t + 28 = -4*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:26 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 4*s - 3*s)*(6*s**3 - 25*s**2 + 43139*s - 43139*s) to the form f*s**3 + u + i*s**2 + b*s**4 + a*s and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 8*o**2 - 2*o. Let l be s(7). Let z = l - 30. Solve -2*d + c = -0*c - 9, -3*d + z*c = -31 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5773 (b) -1\/2 (c) 7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-1))\/(-4 - -2). Suppose f + 4*w + w = 50, f - 2*w - 36 = c. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 2*c - c)*(7 - 19 + 8 - 5*c**2) to the form j*c + b*c**2 + w*c**3 + x and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15100 + 6318. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0 + 0)*(2 - 3 + 0) + 0*a**2 + 3*a**2 - a**2 + 4*a**2 + 6 - 5 - 16*a - 6*a.\nAnswer: 7*a**2 - 22*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*45\/1485 + 6\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29730 - -1664941\/56. Find the common denominator of -47\/49 and g.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238 (base 9) to base 8.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 9*m + 6. Let f be t(-6). Let y = 38 + f. Let r = y - 6. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164\/3 + -55. Let a = -6.1 - -5.6. What is the closest to a in f, -2\/27, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0473 + 29.4027. Let x = -0.55 - n. Let i = x - -29. What is the closest to -1\/2 in -2, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 12. Let h be y(0). Let s = 14 + h. Let u(d) = d + 4. What is the lowest common multiple of s and u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*l + 1376 - 368 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12490.4025ms in days?\nAnswer: 0.00014456484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-6))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/6 + 4*r**3\/9 - r**2\/3 - 7. Determine p, given that f(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -191*a**3 - 10*a**2 - 2*a - 649. Let t(j) = -956*j**3 - 55*j**2 - 11*j - 3246. Let w(b) = -2*t(b) + 11*x(b). Differentiate w(y) with respect to y.\nAnswer: -567*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 16*a**2 - 63*a - 436. Give v(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*s**2 - 49*s**2 + 1381*s**3 + 94*s**2.\nAnswer: 1381*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 512953403 to the power of 1\/3, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 39*g - 389. Calculate q(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 - 17*l**2 - 2913*l\/5 + 2997\/5 = 0 for l.\nAnswer: -27, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5593478.2 to the nearest 10000.\nAnswer: 5590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 1, a: 4, t: 6, i: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.049 - -131.049. Let t = -65 - v. Let r = t + 196.00221. Round r to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*42\/(-72)*2139\/161?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, -2769, -29 in increasing order.\nAnswer: -2769, -29, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20331312213 (base 4) in base 8?\nAnswer: -10756647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1119*n**4 + 5024*n**3*s**2 - 7*s**2 + 562470*s + 1 wrt n.\nAnswer: 4476*n**3 + 15072*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/372 and 49\/30.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3. Suppose -5*x + 0*c + c + 2 = 0, x = -c - 2. Let d be 1 + x + 15\/5. What is the tens digit of h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/2 + 137*a**4\/3 - 1070*a**3\/3 + 125*a**2 + 375*a\/2 = 0. What is a?\nAnswer: -5\/9, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 3 + d**3 + 15*d**2 - 13*d**2 - 3*d**4 to the form f*d**2 + t*d**3 + b + l*d + j*d**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.52 + -1.52. Sort p, -10\/9, -0.3, 0.2.\nAnswer: -10\/9, -0.3, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 21. Let b be t(9). Suppose b*p + 2*p = 100. Suppose 0 = -0*d - 4*d - p, -s = 5*d + 25. Solve s = 3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, -25, -210 in decreasing order.\nAnswer: -2\/5, -1, -25, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3364, -3410, -3456?\nAnswer: -3502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*j**2 - 24*b**3*j + 425*b**3 + 112698*b**2*j**2 - b**2*j + 20*b*j**2 + 26 wrt j?\nAnswer: -2*b**3 + 225396*b**2 + 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -6.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*y - 2444, -2*t - 5*y = -4*t + 4883. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243253 and 23310757?\nAnswer: 5933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 23*t**2 - 20*t - 29. Let o be p(22). Solve 7*f - 10*f + o = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11205 (b) -19 (c) -3 (d) -77 (e) -2\/9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*h*m - 200*h wrt m.\nAnswer: 92*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*1\/(10\/(-48)). Let i be 3\/(-12) - (-2)\/r. Let j(a) = -a**3 - 15*a**2 - 13*a + 18. Let v be j(-14). What is the nearest to i in v, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4298 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 232\/(4\/((-176)\/52) - -1). Let t = -841 - i. Calculate the highest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(59\/(-885)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016617 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25142 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: What is 4513011 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15539 in 0.6, 2\/9, 29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -6050120?\nAnswer: 363007.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - p**2 + p + 2 - 7*p**2. Let i be x(2). Let q = i - -3. Solve -2*o - q*o = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3101, -3180, -3309, -3494, -3741?\n\"Answer: -f**3 - 19*f**2 - 15*f - 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19533 is divided by 9752?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10685 - -11199. Calculate the remainder when q is divided by 198.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 39389 = 5*m, 0 = a + 5*m - 12872 + 3021. What are the prime factors of a?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**3 - 3*f**3 + 6 - 6.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydfh when four letters picked without replacement from dhdfffydqdyhfffyfddy.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - (5 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.05057 rounded to 1 decimal place?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 45*i**2 + 3*i - 1. Let z be h(1). Let p = z + -59. Is (-2930)\/(-3) - p\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = 5*l - 132 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16410*l + 59840 = 17770*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19*w + 2 - 58*w**2 + 57*w**2 - 12. List the prime factors of y(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186 - 184.075. Let v = k - 2. Let a = v - -0.625. What is a rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 1696. Suppose 3*a = 4*w + t + 2573, -6767 = -5*a - 2*w. What are the prime factors of a?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + 3 - (0 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.176m to nanometers.\nAnswer: 267176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/139?\nAnswer: -28\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Sort c, -6\/5, 0.2 in ascending order.\nAnswer: -6\/5, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 11. Let k be o(9). Suppose k*v - 9 + 1 = 0. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 45.003. Round k to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 8*h - 9. Let v be b(6). Solve 9 = -4*k + 5*p, k - 3*p + 7 = -v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32736373.\nAnswer: 17, 19, 43, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Let n = 1.5 - 7.5. Which is the nearest to 0? (a) l (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -5. Let y = -7 + m. Let g = 0.1945 + -0.0945. What is the closest to g in y, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 4\/7, 7.463?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*g**4 + 1047*d**2 + 1524*d*g**4 wrt g.\nAnswer: -8*d**2*g**3 + 6096*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -4*v + 6, -5*s = -25. Suppose -v*i = -2*b + 6*b + 104800, i + 26200 = -2*b. What is i rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7173 - 7173. Solve -4*l = -12, -5*v + 19 = 3*l - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -28*q**5\/15 + 11*q**4\/2 - 10*q**3\/3 - q**2 + 5*q. Factor i(l).\nAnswer: -4*(l - 1)*(28*l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -37*p**5\/20 - 27*p**2\/2 + p. Differentiate k(j) with respect to j.\nAnswer: -111*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011327 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3 + 25. Suppose 2*h - 2 = -3*k, 6*k + 20 = v*k - 5*h. Calculate the lowest common multiple of 138 and k.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + q - 1. Let k be u(5). Suppose 14*f - 18*f + v = -55, -3*v = 3*f - 30. Calculate the greatest common divisor of f and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/12 - 5\/6. Which is the closest to -0.2? (a) -0.4 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 60. Let x be 2 + -4 + (20 - -1). Let q be p(x). Let w = 90 - -156. Calculate the highest common divisor of w and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/910 and -47\/152292?\nAnswer: 9898980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 + 7*d**2 + 205*d.\nAnswer: -48*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010000000 (base 2) in base 13?\nAnswer: -15c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24813.52 and 0.00657.\nAnswer: 24813.52657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5758545909?\nAnswer: 3, 1919515303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79 - 45 - 123 + 94*a - 91 + 54*a wrt a?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978ba (base 14) to base 16.\nAnswer: 5985c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -1. Let g = 5.9 - 6. Put -1, y, g in decreasing order.\nAnswer: g, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqxxxxxxoxxxx. Give prob of sequence xq.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*50\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7546.1 + 7546. Which is the nearest to 1\/2? (a) p (b) 2\/5 (c) -2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*l**2*y + 16*a**2*l*y + a**2*y**3 - 2*a*l**2*y**4 - 2*a*l**2*y + 2*a*y**2 + 24*y**4 wrt y.\nAnswer: 6*a**2 - 48*a*l**2*y + 576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 68, 118, 206, 344, 544, 818?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*u**3 - 35*u**3 - 55*u**3.\nAnswer: -259*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 45 + 13*c + 3*c**2 - 1\/3*c**3. Give z(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 106. Let m be y(30). Which is the nearest to m? (a) 4 (b) -3 (c) 3\/7 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 44. Suppose x*w = 3*w + 117. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = -5*v, 77*u - 79*u = 2*v - 12. Let w = 9 + -5. What is the remainder when u is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -1a77?\nAnswer: 1a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*l = -5*l + 72, 2*m - 2*l - 36 = 0. Solve -5*h + 9*h - n = -m, 6 = -3*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 c when four letters picked without replacement from {c: 1, k: 6, a: 3, x: 5, h: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 18*p**2 + 15*p - 40. Give o(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 34976904*r + 34976901.\nAnswer: 3*(r + 1)*(r + 11658967)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyyy when four letters picked without replacement from {y: 2, n: 3, w: 4, u: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19193*d**2 + 19191*d**2 + 77522*d - 77522*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42707289 is divided by 377?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -55, -144, -267, -424?\n\"Answer: -17*c**2 - 4*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*h - 8, 0*h = -j - h + 1. Suppose 4*b - j*n - 20 = 0, 2*b + 2 = -0*b - 4*n. Let f be (-2)\/b - (-2)\/2. Which is smaller: f or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let l = 7\/3 + -3. Let r = -1670\/3 + 557. Which is the closest to l? (a) j (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 7. Let v(d) be the third derivative of d**4\/24 - 7*d**3\/6 + 2*d**2. Let l(z) = 2*s(z) - 3*v(z). What is the remainder when l(0) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702*n**3 - 360*n**2 + 2247*n**3 + 368*n**2 - 681*n**3.\nAnswer: 3268*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 78, 87, 96?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43345234 + 35?\nAnswer: -43345155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {q: 1, y: 3, c: 3, z: 13}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + (-4 + 2 - -19 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -4, 9\/5, -3\/35, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/25)\/(21\/(-6)). What is the fourth biggest value in n, -2, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 17. Suppose -3*j - 4*d + 365 = 0, -4*d - 103 = 4*j - 587. Calculate the greatest common factor of u and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 14) in base 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.026 - 0.874. Let j = -1.925 - b. Let h = -0.025 - j. What is the closest to 1\/3 in 1\/6, h, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/20 + 7*n**4\/12 + 5*n**3\/6 + 60*n - 2. Give m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44778, -44785, -44792, -44799, -44806, -44813?\nAnswer: -44820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/2 - 3*n**2\/2 + 2*n. Let a(w) = w - 2. Let m(i) = -2. Let h(f) = a(f) - m(f). Determine -b(z) - 4*h(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.099 + 3.099. Let w = s + -2.999999935. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 28, 41, 58?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8288587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1 + 4) - -7. Let n(k) = 2*k + 2*k - v*k + 4*k. Let d(h) = 2*h. Calculate d(n(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1611?\nAnswer: 16110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -21) + 70 + -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*f - 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: Sort 14, 0, -5049 in decreasing order.\nAnswer: 14, 0, -5049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h**4 - 646*h**3 - 2188*h**2 - 1832*h + 336 = 0.\nAnswer: -21, -2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k - 8 = -3*b, 7 = -3*b + 5*k. Let r be 21\/b - 1\/(-2). Suppose 16 = a - x, -r*a + 60 + 8 = -5*x. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykyyky. What is prob of sequence ky?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18695394*b + 44802530*b - 12379034*b.\nAnswer: 51118890*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1296) + (sqrt(1296) - (-2*sqrt(1296) - sqrt(1296)))))\/(sqrt(480)\/(sqrt(30)\/sqrt(3))) + 1 + -2.\nAnswer: -1 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 b when four letters picked without replacement from rddzrzbbbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = h + 2, 3*q - 5 = 5*h + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44790 - -31b2?\nAnswer: -4159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 0*p**4 - 3*p**4 + (0*p - 7*p + p)*(-143*p**2 + 143*p**2 - 30*p**3) - 51*p**3 + 27*p**4 + 51*p**3.\nAnswer: 208*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from bubbubuuub.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 + r**3\/3 - r**2 - 2*r. Let m(p) = -p. Let z(y) = c(y) + 3*m(y). Give z(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 151*z = 45*z + 1042920. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10625, -21234, -31841, -42446, -53049, -63650?\nAnswer: -74249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9280975.89185418 - 9280976. Let p = 0.088146 + z. Let n = 0.02 + p. What is n rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 685295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 134930797 to the nearest 1000000.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 413*s**2 + 18*s - 35. What is the tens digit of h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 12 + 5 + 33*t - 20.\nAnswer: 33*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/9, -7\/4, -0.1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*k = -18, 2*h + 5*k - 2 = -26. What is the biggest value in -0.2, 5, h, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzddzzd. Give prob of picking 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)\/w)\/(w\/(w**(-11)\/w)))**(-2\/27)*(w**9*w*w**0\/w*w*w)\/((w**(1\/8)*w)\/w**(-1\/4)) assuming w is positive.\nAnswer: w**(2335\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21988 is divided by 2441?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*m + 21 = 1, 2*f = m. Suppose -f*z = -19758 - 44. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-5))\/((-3)\/6). Suppose -2*z + z = -g. Suppose 3*i = 5*b + z*i - 67, -4*i - 2 = -b. What is the remainder when 53 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 21*j + 37. Calculate u(6).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 96?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 38. Let h(r) be the second derivative of r**5\/20 - 201*r**2\/2 - 20*r - 1. Let d(p) be the first derivative of h(p). What is d(g(u))?\nAnswer: 12*u**2 + 456*u + 4332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 5*c**2 - 9*c - 10. What is the remainder when g(-7) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*i + 3*z - 7, -2*i + 3*z - 9 = 0. Find the common denominator of 62\/3 + i\/(-9) and 61\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 + 3*j + 6. Let l(b) = 58*b**2 - 16*b - 32. Let f(x) = 3*l(x) + 16*z(x). Let t(i) = -91*i. Give t(f(v)).\nAnswer: 182*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:55 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**3 + 184*l**2 + 1116*l + 936 = 0.\nAnswer: -39, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-89 - 66)) + -16?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236875350165 + 0.\nAnswer: -236875350165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/2 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**3 - 846*f**2 + 846*f**2.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3010, 2951, 2906, 2881, 2882?\n\"Answer: x**3 + x**2 - 69*x + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 10, i: 2}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -27. Let f(r) = r**2 - 5*r + 4. Let a be f(4). Suppose -16*l + i*l + 40 = a. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5 + 61*y + 15 - 43*y. Let h be a(-7). Let o = h - -307. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34.01753 millennia?\nAnswer: 3401.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + 0.8. Round z to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -17. Let a = u - -24. Suppose 0 = -a*x + 7*x - 21. What is the remainder when 54 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let s(p) = 20*p**2 - 13*p + 11. Let n(w) = 2*w**2 - w + 1. Let g(b) = -22*n(b) + 2*s(b). Determine -g(j) + 3*o(j).\nAnswer: j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**2. Let f = -59 + 61. Let n(q) = -45*q**f + 94*q**2 - 44*q**2. What is 11*n(w) - 4*r(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/2 - (-75)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 4*r + 7 + r. Let k(o) = -o**3 + 4*o + 7. Let y be k(-2). What is the lowest common multiple of 22 and h(y)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-10)\/30*(-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.1. Suppose k - 17 = 3*n, -21*k + n = -24*k + 1. Put 28, k, c, 0.4 in descending order.\nAnswer: 28, k, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550299200 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2090 = 4*q - 2046, 27 = -3*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) + sqrt(153))*4 - 3*sqrt(153)*-1)\/((sqrt(81) + sqrt(81)*-2)*3*-4).\nAnswer: -5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, -8, 0.519, 2 in descending order.\nAnswer: 2, 2\/3, 0.519, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 347301 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232420011 + -11?\nAnswer: -232420022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1070634971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30430342 (base 5) to base 7\nAnswer: 2054334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 - g**4\/2 + 7*g**3\/3 + 4*g**2. Let y(l) = -12*l + 13. Let d(h) = 4*i(h) - 5*y(h). Factor d(t).\nAnswer: -(2*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 1 t when three letters picked without replacement from spmmmvtvtwwm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -218491, -436979, -655467, -873955, -1092443, -1310931?\n\"Answer: -218488*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 2241.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**39*o)*o)\/o*o*o\/o**(11\/5))\/(o\/o**(-6\/5)*o\/(o*o**(34\/5))) assuming o is positive.\nAnswer: o**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162433649.4681 from -3.\nAnswer: -162433652.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, 1677, 18\/7, 3?\nAnswer: 1677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 1\/10*m**6 - 3\/2*m**2 + 0 + 0*m**3 + 0*m**5 + 0*m**4 + 2*m. Find the first derivative of n(p) wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 69012?\nAnswer: 276048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 720 = 2*w, 10*m - 7*m - w = 1090. What are the prime factors of m?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-180)\/12)\/(0 + -1). Let y = 21 - r. Let c be (12\/9)\/(y\/27). Solve h = a - 2 + 1, -3*h + 2*a = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1*-3 - sqrt(143))*-3)\/(-5*sqrt(99) - (sqrt(11)*-2 - sqrt(11))*-6).\nAnswer: -4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(100)\/sqrt(10)) + (sqrt(18)\/(sqrt(15)\/sqrt(5)) - sqrt(6)))\/(sqrt(10)\/sqrt(5)*1 - sqrt(162)*3).\nAnswer: -sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 10. Let h be u(14). What is the units digit of (h\/4)\/((-12)\/(-72))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13755707 and -27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 5*h**2 + 3*h**2 + (2*h - 2*h + 2*h)*(2*h + 3*h - 3*h))*(-3316 + 3316 + 2474*h).\nAnswer: 7422*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 7 (b) -5 (c) -0.3 (d) 21 (e) 102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**17\/d)\/d*d)\/(d*d**(-7\/2))*(d*d*(d*d\/(d*d**(1\/6)))\/d)\/(d*(d\/(d\/(d*(d*d**(1\/2))\/d)))\/d) assuming d is positive.\nAnswer: d**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29798591 or -29798590?\nAnswer: -29798590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 2. Let t be 1\/(-2*(-5)\/(-20)). Give u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 11*y + 7. Let a be v(12). Let b(x) = -x**3 - 6*x**2 - 8*x - 6. Is b(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.95132, 3\/2, 6\/5, -5, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 127, 125, 133, 157, 203, 277?\n\"Answer: q**3 - q**2 - 6*q + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)\/(30\/(-960)). Let b(l) = -8*l**2 + 263*l - 44. Calculate the smallest common multiple of 15 and b(c).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11285*d + 372257*d**2 - 372253*d**2 - 11285*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from tvttvtvtttmtmvv?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*j - 1 + 13 = 0, -7*j = 5*v - 94. Solve -2*o - v = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 149600.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 4*t, 4*l + 4*t = 80. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*d = -27, -w + 27*d - 16 = 23*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(833) + (sqrt(153))**2*-1 - (-2 + ((sqrt(272) + 0)**2 - sqrt(272))).\nAnswer: -423 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 - 2*l**2 + 5*l - 4. Calculate h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 9*w - 16*w + 6*w + 5*w to the form b*w + q + j*w**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - (2 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + t)*(10 + 5*t + 0*t - 2*t) to r*t**2 + g*t + c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 185.4 and -0.06.\nAnswer: 185.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 6*o. Let w = -22\/129 + 8\/215. Put w, -4, o, 1 in ascending order.\nAnswer: -4, w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrz when four letters picked without replacement from {z: 8, r: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o + 30*o - 10*o)*(-2*o**3 + 2*o**3 - 2*o**3).\nAnswer: -92*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 506 - 544 = 0. Suppose -3*v + 344 = 4*l, 0 = -5*v - 5*l + 740 - u. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66979 + 0.5\nAnswer: -66978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 40172 = 49*g - 45*g, -20065 = -2*g + 5*i. List the prime factors of g.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/13 - 20140\/(-65). Let t = 454 - g. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 41 + (-283 - (-62 - 108))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-226)\/(-154) + -1 + (-4)\/22.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -3 + 3 - (4 + -2*sqrt(931) + sqrt(931)))*-4)**2.\nAnswer: -1792*sqrt(19) + 59840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226, -4738, -10548, -18686, -29182?\nAnswer: -42066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101101101110 (base 2) in base 4?\nAnswer: -2231232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -75, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 14 - 16 = 0. Let v be (-14)\/6*1*-3. Factor 10*a**t - v*a**3 + a**2 + a**4 + a**2 + a + a**2.\nAnswer: a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 at most as big as -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.374 and 32184626.\nAnswer: 32184628.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471152681?\nAnswer: 43, 57468667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 (base 10) in base 14?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41225352 a multiple of 1426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3 + (-4 + 24 + 6)*(0 + 2 + 8))*((-4 + 3 + 2)*(3 - 3 - 2*c) + 0 + c + 0 - c - 4*c + 4*c + 0*c - 3*c + c) as g*c + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 314, 627, 940, 1253, 1566, 1879?\n\"Answer: 313*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-261)\/(-54))\/(-29))\/((1\/(-1))\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z**2 - z + 1 - 5 - 10*z - z**3. Let h be q(-8). Differentiate -8*c - 4*c - 4*c + h wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3\/2*u**3 - u**4 + 2*u**2 - 1\/2*u**5 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110 in -2, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*i**3 + 68*a**2*i**2 + 74*a**2 + 3*a*i**3 + 714*i**3 wrt i?\nAnswer: -12*a**2 + 18*a + 4284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3494581*0.1.\nAnswer: -349458.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7680 (b) -2\/7 (c) -286 (d) 3\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2754987 is divided by 147?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + n - 4 = -r, -2 = -2*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125638 minus 19?\nAnswer: -125657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 223491704 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -44. Suppose j - n = -5*z, j + 18 = 3*z + z. Is (-1 - j - -1)*4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -5, 321 in increasing order.\nAnswer: -5, 2, 5, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 + 123*x - 211.\nAnswer: 123*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and 41.2.\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-3 - -2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*q + 230*q - 48 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 - 173*j**2 - 43*j + 42. Determine w(-43).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 9. Let h(q) = -21*q - 98. Let p(v) = -5*h(v) + 56*z(v). Let l be (24\/18)\/((-1)\/3). List the prime factors of p(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 divided by 335?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/24562 and -161\/1473720.\nAnswer: 1473720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67052 less than -6293005?\nAnswer: -6360057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x. Let o(a) = 128*a**3 + 512*a**2 + 5*a. Let f(n) = o(n) + 5*v(n). Find the third derivative of f(d) wrt d.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13520258738 + -0.2?\nAnswer: -0.33520258738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*(-8)\/12)\/(8\/(-12)). Solve u = 2*s, -2*z - 2*s = -7*z - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Suppose d - 4*f - 17 = q, f - 8 = 4*d + 4*f. List the prime factors of (-24)\/8 + 60 + d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24320446664 take away -3.727?\nAnswer: 24320446667.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 0*d - 1\/84*d**4 + 0*d**3 + 0*d**5 + 1\/420*d**6 + 4 + 3\/2*d**2. Let y(p) be the second derivative of z(p). Factor y(v).\nAnswer: 2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:38 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4830 and 43\/12075.\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 211 = 194. Let g(v) = 3*v. Let q(d) = -3*d - 3. Let w(n) = 2*n + 2. Let y(c) = -5*q(c) - 7*w(c). Give b*g(o) + 2*y(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -94 (c) 1\/3 (d) -2\/11 (e) 22\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/(48\/576)*5\/(-16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7049 and 1540392.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.707 + 29.88854. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -90. Let u = 19 + l. Solve -g - u = 5*m, -2*g + 8 = -0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 7*q + 2. Let j be s(7). Suppose 10 = 4*t - z, -z - 1 = 2*t - 3. Suppose k = t*k. Is j > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 684498 and -0.2.\nAnswer: -136899.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112603 is divided by 3307.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.776085 and -13211?\nAnswer: 13213.776085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (938\/(-1617) - (8 + (-774)\/99))*14\/(-6)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 9:21 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -5*k - 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172900762 and 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 0.001?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-44)\/(-16) - 3). Let v = p - -25. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*q = 278*q - 18*q + 232 - 11032 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44320 and -0.4262.\nAnswer: -18889.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62b9 (base 15) in base 3?\nAnswer: 1001122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 2. Suppose 5*a = -l + 31. Suppose a*q + 5*f - 35 = 0, -5*q + 13 = 4*f - 25. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-10)\/80*(-11)\/24*-2?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32336, 3, -15 in decreasing order.\nAnswer: 3, -15, -32336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 13) in base 3?\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, -13, 2\/17, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 + 3. Let y be c(0). Suppose -y*p - 5*v = -22 + 3, -7 = -3*p + v. Let g be 20*(p - (-94 - 3)). Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**3 + 17*k**2 + 6*k + 31. Does 13 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -7 + 15 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjbjjkbkjbjjkjjkjbp. Give prob of picking 1 j and 1 b.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*j + 9*j. What is v in -15\/4*v + 9\/4*v**2 + 3\/4*v**3 + 3\/2 - 3\/4*v**j = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 + 1217*c**3 - 74232*c**2 + 44100*c = 0. What is c?\nAnswer: -294, 0, 3\/5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/4 (c) 0.3 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - y = -77, 2*o + 2*y - 43 = 3*o. Let m = -37 - o. Suppose m = -2*n + 2*k - 16, -n - 4*k + 10 = k. Put n, -2, -3 in increasing order.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/11, 0.3, -0.3, 3, 44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4999 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 157 + 54 + 56 + 46 - 2*w**3 + 36*w. Determine c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 1, k: 3, q: 5, h: 2}. Give prob of sequence qqh.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1141, -3, -67 in ascending order.\nAnswer: -67, -3, 3, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 3 - (-6 + -4)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9 = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from {o: 4, j: 2, z: 1, x: 6}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 + -321. Let h = -26 - -121. Let n = o + h. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3237188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:39 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313 (base 11) in base 5?\nAnswer: -23313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23809664*o + 1. Let k(f) = -6*f**2. What is i(k(v))?\nAnswer: -142857984*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 58*h + 670. Give k(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 949*z**2 + 1 - 2*z + 5 - 5035*z**2 - 2*z.\nAnswer: -4086*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m - 16 = 0. Let i be (m\/(-5))\/((-2)\/(-395)). Let f be i\/10 - (-2)\/(-10). What is the greatest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0*s**5 - s**5 + 0*s**5) - 2*s**3 - 2*s**3 - 4*s**5 + 3*s**3.\nAnswer: -5*s**5 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2)*q)\/q)**22\/((q*q*q**(-6)*q)\/(q\/(q\/(q**(-4\/3)\/q*q)))) assuming q is positive.\nAnswer: q**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 253630, 253634, 253638, 253642, 253646?\n\"Answer: 4*y + 253626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.6 in 4, -2\/1445, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.81223ml in litres?\nAnswer: 0.02381223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/3, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 202 = -32*k + 9*k + 131*k, -5*s - 18 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 (base 13) in base 6?\nAnswer: -3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74902 or 74857?\nAnswer: 74857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -43*f + 243. Let o be k(15). Let j = o + 406. Solve 4*i + q - j*q + 26 = 0, -4*i = 3*q + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -47*j**3 + 1. Let v be c(-1). Let l(k) = k**3 - 6*k**2 - 3*k - 2. Let b be l(6). Does 8 divide (v\/10)\/((-6)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from {x: 5, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*t = -5*t + 8, 0 = t - 4. Suppose 5*r - 3*r - a - 419 = u, 0 = -5*a + 15. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 2 - 31 - 15 + 5*a - 12*a**2.\nAnswer: -12*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by -20401173.\nAnswer: 73\/20401173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/14 + 4\/14. Let d be (6\/(-244))\/((-3)\/n). Let z = d + -182\/915. Which is the second biggest value? (a) z (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/11 + -1\/33. Factor -1\/6 - 1\/6*r**2 - y*r.\nAnswer: -(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881676 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 - 5*f - 3. Let l be j(6). Let s be (1\/l)\/((-6)\/36). Let o be 46\/11 - (-4)\/(-22). Sort 5, o, s in decreasing order.\nAnswer: 5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000332777 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933376 is divided by 1933353.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*w, 79*w + 23 = 78*w - 5*z. Put 1, 0.0053, w in descending order.\nAnswer: 1, 0.0053, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 120 (b) 1 (c) 0 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28691 - 289336 = -11*c. Let m be (1199 + 1)*c\/42*100. Round m to the nearest 1000000.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microgram in nanograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 51 = 7*l, -l = 35929*u - 35927*u - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*w - 2*w - 2 = 0, -3*i = -5*w - 0 - 34 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-4 + sqrt(77))\/sqrt(7) + 0.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2438, 0.2, -18, 22\/9 in decreasing order.\nAnswer: 2438, 22\/9, 0.2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167637 by 323.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-1\/3)*y))\/(y**(-34)*y*y*y*y)*y**(-12)*y*y**19 assuming y is positive.\nAnswer: y**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4562522\/21 + 217328. Let k = 65 - u. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*i**3 + 2*i**4 + 6*i**2 - 2*i**2 - 5*i**2 to d*i + c*i**4 + p*i**2 + w + b*i**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/106301 and -13\/102?\nAnswer: 637806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*p**2 + 1813*p**3 - 44*p**2 - 2379*p**3 wrt p?\nAnswer: -3396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356.69 litres to millilitres.\nAnswer: 1356690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x. Let b(l) = 7*l. Let k(g) = -3*g. Suppose -15 = 2*v - 23. Let n = 15 - 5. Let t(f) = n*k(f) + v*b(f). What is p(t(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 11*y + 144 = 0. Let h = 0.11 - 0.25. Let m = h + 0.24. Which is the closest to -2\/5? (a) m (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296, 2598, 5 in descending order.\nAnswer: 2598, 5, -1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + sqrt(128) + sqrt(128) + 4*(sqrt(2) + -2) - (2 + (-4*sqrt(24) - sqrt(24))\/sqrt(12)*-2))**2.\nAnswer: -180*sqrt(2) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87235, 87230, 87223, 87214?\nAnswer: 87203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12587620 is divided by 1053.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6*m = -10. Is m\/(-45) + (-9785)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 49*w**2. Let d(g) = 4*g**2 + 4*g - 4. Let y(s) = -7*s**2 - 6*s + 6. Let i(x) = 3*d(x) + 2*y(x). Calculate l(i(z)).\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 2*t, 4*t = 4*d - 12. Let o = -2 + d. Sort 2, 1, o in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = 2*n + 2*n, -4*p = -n + 11. Let j be 14\/n + 11\/33. Suppose -4*k + a = -k, j*k = 2*a. Solve 0 = -2*w - 3*b - k*b + 13, w - 5*b = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 35 + 26 = 0. Suppose -54 = -5*j + 4*v + 44, -60 = -3*j + d*v. Calculate the greatest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 2. Let a(o) = -8*o - 5. Let u(d) = 2*a(d) + 5*c(d). Let p(w) = -w - 1. Let s(r) = 5*r + 8. Let g(h) = 3*p(h) + s(h). What is -g(q) - 3*u(q)?\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 6*u + 21*u + 9*u to c + q*u and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 38, -1.24, -3, 143 in ascending order.\nAnswer: -4, -3, -1.24, -0.5, 38, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0332*0.28866\nAnswer: -0.009583512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 12*m + 12. Sort -36, -5, m.\nAnswer: -36, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 6*r + 2*r + (-5*r + r + 2*r)*(4 - 3 - 4) in the form z + o*r and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73287090 divided by 19861\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 7\/4, -2\/15, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 8, 515*q = 3*m + 520*q - 31 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 - 13 = -a, -5*a + 16 = v. Suppose 2*b - 9 = -v. Which is smaller: b or -6\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 8. Let t = -20 - -23. Put t, 5, 1, a in increasing order.\nAnswer: 1, a, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 8*f**2 + 315 + 7*f**2 - 315.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79215 or 79217?\nAnswer: 79215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766410053.\nAnswer: 3253, 235601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + (6 - -2) + 1. Determine v, given that 2\/9*v**2 + y*v + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-921.14.\nAnswer: -112379.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2549*l = 218*l - 570*l - 50531 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5358*q**2 - 1. Let p(o) = -2*o**2. What is c(g) - 3*p(g)?\nAnswer: 5364*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 7\/60*d**5 + 0 - 3*d**2 - 4\/3*d**3 + 0*d - 1\/120*d**6 + 1\/2*d**4. What are the prime factors of q(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516589221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 16*p**4 + 17*p**4 - 32*p**4 - p + (2 - 2 - 2)*(0*p**4 - 2*p**4 + 4*p**4) - 4*p + 4*p + 2*p**4.\nAnswer: -p**4 + 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6146 + 4661*q**3 + 3073 + 3073.\nAnswer: 4661*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((172\/(-301))\/(18\/(-21)))\/(4\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 29*s + 35. Let w be b(-14). Calculate the highest common divisor of 51 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a + 21. Let i(x) = a*x + 4 + x**2 + 0*x**2 - 3*x. Let b(n) = -n + 1 + 0*n + 2*n. Calculate 4*b(d) - i(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**3 + 2*y + 2. Let j be (6 - 1)*(-39)\/65. Let r(u) = 11*u**3 + 3*u + 2. Give j*r(w) + 4*l(w).\nAnswer: 7*w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) + 32\/(-208)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4*64)\/(-14 + 13) is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 - -8.4. Let d = -0.24 - 1.76. What is the closest to u in 1, -1\/6, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 + -11124351?\nAnswer: -11124213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let h(v) = -30*v**2 + v + 5. What is u(h(q))?\nAnswer: -30*q**2 + q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/3*n**3 + 1\/10*n**5 - 1\/6*n**4 + 0 + n**2 + 2*n. Find l, given that i(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*r**3*w**4 - 2*r**3*w - 30609*r**3 - 89*w**2 wrt w.\nAnswer: 244*r**3*w**3 - 2*r**3 - 178*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73742, -73748, -73752, -73754, -73754?\nAnswer: -73752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/23 + 7502*l\/23 - 30040\/23.\nAnswer: 2*(l - 4)*(l + 3755)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 108*x**3 + 2*x**2 - x. Let m = -57 - -59. Calculate the remainder when d(1) is divided by 4 + -4 - (m + -39).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2538744 by 4108.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 506260 divided by -101252?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/33)\/((-23)\/(-46)*40\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7568 + 75503*t**3 + 7568.\nAnswer: 75503*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u - 84. Let l(s) = -2. Give -42*l(z) + w(z).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5+4.21854\nAnswer: 9.21854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:05 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/567*30\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909\/426410 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19 + 21)\/(2\/(0 + 2)). Let r be (-69)\/s*4\/(-6). Suppose -3*c = 2*v + 3*v - r, -2*c = -3*v - 9. Solve n = c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820 = -7*z - 64. Let m(u) = -2*u**3 + 22*u**2 - 18*u + 64. Let i be m(10). Calculate the greatest common divisor of i and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**38*s)\/(((s*s**28)\/s*s*s)\/s) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/15*(-1225)\/(-2). Suppose l = i + 488. Let x(g) = -5*g + 2. Let o(w) = w + 1. What is i*o(q) - x(q)?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/(-21) - (-6)\/(-21). Let q = 0 - a. Solve 15 = -p + 5*y, 5*p - q*y + 17 = -16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 85 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/403376 + 12908029\/1210128. Factor -128\/3 - 2\/3*v**2 + m*v.\nAnswer: -2*(v - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163976*c**5 + 163972*c**5 - 327957*c**5 - 344 + 2*c**5 + c**4 - c**4 + (2*c + c - 2*c)*(2*c**4 + 0*c**4 + 0*c**4).\nAnswer: -5*c**5 - 344","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8015675*t**3 - 2514*t**2 + 1021?\nAnswer: 48094050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 9*d + 4. Let c be o(-9). Suppose -5*f - 163 = -c*l, -l - l + 4*f = -74. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 + 348. Which is the biggest value? (a) -5 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 207*f**4 - 39*f**4 + 57*f**4 + (0 - 2 + 4)*(0*f + f + 0*f)*(2*f**3 - 4*f**2 + 4*f**2).\nAnswer: 229*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 1\/2 (b) 0.057 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.158 + 0.368. Which is the nearest to -2? (a) -2\/11 (b) -1\/4 (c) u (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -59a22?\nAnswer: -59a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 6*-1*sqrt(325)*2 - (sqrt(325)*-1*-3 + (0 + 3 + sqrt(325) - sqrt(325)))) + -3)**2.\nAnswer: 300*sqrt(13) + 73129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/19))*u**(1\/8)\/u)\/(((u\/u**(-9))\/u)\/(u**3*u)))\/((u\/(u*u**2))**(-14)\/(u**7\/(u*u\/(u**(-1)\/u)*u))) assuming u is positive.\nAnswer: u**(-4853\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 28 = 4*c. Let a(h) = -h**2 + 7*h - 2. Let g be a(c). Is (1\/3)\/(g\/(-42)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-5 + 1 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 15*x**2 + 9*x - 78. Calculate j(14).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 36948 - 16551 = 5*n, n - 2*z = -10702. Round n to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((1 - 0) + -10 + (234 - 225))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 11*d - 6. Let u be j(-5). List the prime factors of (-4 + (-840)\/18)\/(u\/9).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 5*z**2 - 5*z**2)*(-5*z - 5*z + 4*z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -374*j**2 - 3 + j - 1 + 373*j**2. Suppose -3*i + 5*m + 16 = 0, 2 = 5*i + m - 6. Let s(g) = -g + 3 + i - 2. Calculate 3*s(u) + 2*x(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*a + 3*p, a + 3*p + 14 = -0*p. Let q be ((-8)\/a)\/(0 + -2). Let j = 0.0173 + 2.9827. What is the nearest to 1 in q, j, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.617*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 15. Let p be f(5). Let r(h) = 8*h - 36. Is r(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336407\/66 + 2639411\/462. Let a = j + -4365\/7. Let y = -398\/55 - a. Sort -2, y, -4 in increasing order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*j + 5*i, -4*j - i + 3*i = -14. Let m(t) = -15 + 15 + j*t. Let l(d) = -d. What is l(m(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 + -13 + (-1 - -17) + 6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -p + 0*v = 2*v + 273. Let u = -164 - p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86517340 divided by -91.\nAnswer: 950740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -6*g, -357 = -g + j - 359. Let m(r) be the second derivative of -1\/3*r**3 + g + 0*r**2 - 1\/10*r**5 - 3*r - 1\/3*r**4. What is n in m(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24790000 rounded to the nearest 100000?\nAnswer: -24800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 23, 68, 127, 200?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.9 + -517.1. Let m = i + 555. Which is the second biggest value? (a) m (b) 3 (c) 8\/9 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46291 at least as big as -16\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i = 69*i + 5. Solve 5*o + i*q = 2*o + 7, 3*o = -2*q + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3996)\/(-2331)*(-84)\/(-10). Factor k - 156\/5*u + 4\/5*u**4 - 36\/5*u**3 + 116\/5*u**2.\nAnswer: 4*(u - 3)**2*(u - 2)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Let j = -327.99 + 324. Let a = x + j. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14331805.\nAnswer: 5, 919, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -335240\nAnswer: -670480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6)*-2)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 4*n**2 - n + 4. Let r be k(2). Let q be r\/(25\/10 + -1). Sort q, 2, -5, 0.2 in decreasing order.\nAnswer: 2, 0.2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5985 or -104.3?\nAnswer: 5985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -515, -1163, -2071?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 4. Suppose -3*o = w - 38. Solve 2*u + o = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:50 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 2\/3, 16, -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006958 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -245, -777, -1795, -3461, -5937, -9385, -13967?\n\"Answer: -27*z**3 - 19*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-30) + (-15)\/(-45). Let u = -4.88 + -0.12. Sort u, d, 0 in descending order.\nAnswer: 0, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2036.2.\nAnswer: 610.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(2\/3))\/l)**50\/(l**2*l*((l\/(l**(1\/3)*l))\/l)\/l) assuming l is positive.\nAnswer: l**(398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*g = -0*m + 42, -2*m + g - 25 = 0. Suppose -2*a = 3*n + 25, 5*n - 72 + 11 = 4*a. Let f = m - a. What is the nearest to 0.1 in 2, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39718 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*q + 2*n = 6*q + 101, 246*n = q + 241*n + 218 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 19 = -80 + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*q - 11 = 3*q, 46 = 4*s - 3*q. Suppose r = 2*t + 138 - 19, -5*r + 2*t + 587 = 0. What is the greatest common divisor of r and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 49, 102, 183, 298, 453?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18711987169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506312 and 42712.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 36. Suppose d*x - 14*x + 49 = 0. Which is bigger: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 2, k: 6, x: 4}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -74, 8, 1 in increasing order.\nAnswer: -74, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 3771?\nAnswer: 3755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 5:23 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8) - 938\/4. Does 15 divide i\/(-14) + (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k**(2\/7))**46 assuming k is positive.\nAnswer: k**(-2346\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3274 + 2*d + 1537 + d**2 + 1432)*(-4 + 0 + 2)*(4*d - 3*d + 2*d).\nAnswer: -6*d**3 - 12*d**2 + 1830*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7391 + -595.4609. Let a = z - -505. Round a to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 104\/24 - 4\/(-6). Suppose -4*g - 3121 = -h*l - 267, 0 = 5*l + 2*g - 2878. Let b = 813 - l. List the prime factors of b.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51391.54 milligrams to kilograms.\nAnswer: 0.05139154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 6*p**2 - 3*p - 14 + 0*p to the form h*p**2 + x + w*p and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 - 4*x + 5. Let c be j(-5). Suppose 0 = -4*a + 3*r + 100, 0 = 4*a + 4*r - 8*r - c. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**2 - 64*q**2 - 2 + 171*q**2 + 4 - 57*q**2.\nAnswer: -12*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3038 smaller than -3049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 84.03078t?\nAnswer: 84030780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 1:29 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 3*u)*(-4*u + 4*u - u) + (-u + 3*u - 5*u)*(-1 + 0 + 0)*(-5*u + 0*u + 2*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -59*z**2 - 13*z + 27. Let m(p) = -3*p. Determine m(j(d)).\nAnswer: 177*d**2 + 39*d - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 21. Suppose 0*l + 373 = q*l + b, b + 1 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.32944 litres?\nAnswer: 13329.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210201 - 20?\nAnswer: -10210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 + 586980*k**2 - 17244871920*k + 1032580267200 = 0.\nAnswer: 60, 58668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3237656593.\nAnswer: 127, 179, 142421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*q, 3*g = -g - 5*q - 5. Suppose 4*a + 3*u - 17 = 22, -10 = -2*u. Let f be (-240)\/(-18)*a\/g. What is the greatest common factor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.53766 and 3?\nAnswer: 7.53766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 75*x + 1393. Calculate f(32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gagaaggggga. Give prob of sequence agaa.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - 1.2. Let m = 224347.49781 - 224345. Let u = i + m. What is u rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21392 (base 11) in base 6?\nAnswer: -355513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*p**5\/11 - 234*p**4\/11 - 6*p**3 + 1026*p**2\/11 + 1104*p\/11 + 288\/11 = 0. What is p?\nAnswer: -1, -3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 91*t + 90*t + 0 in the form i*t + q and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + y - 14 = 0, q + 12*y - 14*y - 2 = 0. Solve 0 = g + q - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10110101?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403303296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-93)\/(-21) - (0 + 9\/21). Solve 0 = -4*v + l - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -969, -1928, -2879, -3822, -4757?\n\"Answer: 4*p**2 - 971*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67733, -67741, -67749, -67757, -67765?\n\"Answer: -8*v - 67725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 + 930 = 44*l. Calculate the remainder when 1394 is divided by l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -398026545 divided by -132675515\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a3 (base 11) in base 3?\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111528.737 rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 411*s + 53. Is v(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 - 3*p**3)*(-2 + 0 + 3) + (0*p**3 - 3*p**3 + 2*p**3)*(-7 + 9 - 8) + 255*p**2 - 255*p**2 - 11*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 237\/9*(1 + 2). Suppose h + 2041 = -s. What is s rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 + 172\/(-6). Let s = c - -28. Let l = -361\/36 + 41\/4. Sort s, -2, l.\nAnswer: -2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34035, -34036, -34037?\nAnswer: -34038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76169129.\nAnswer: 17, 263561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 33. Calculate n(-16).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 5*u**2 - 12746030*u**3 + 12746029*u**3 - 8*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 11*s + 10. Suppose 0*p - 12 = -s*p. List the prime factors of (-71)\/(-3) - p\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + (18 - (-17 - -26))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26771?\nAnswer: 19, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/39*4*1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*q - 24, 35 + 107 = 5*m + 4*q. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 5, u: 2, h: 2, i: 1, l: 2, j: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 40. Let a be f(-18). Suppose -4*m + 740 - a = 5*y, 4*y = -2*m + 326. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(10\/4)*-5. Let s be (2\/o)\/(2\/22354). Let z = s + 19177. Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.13288 + 0.13288. Let g = 0.2 + 0.8. Which is the second smallest value? (a) g (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 51111.72ug?\nAnswer: 0.00000005111172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5831 - -366. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 30. Suppose -x + 5 + 0 = n. Suppose -4 + 9 = -5*f. Sort x, f, 4 in decreasing order.\nAnswer: x, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 18 - -2) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5203*b - 40. Let w(y) = -57231*y - 450. Determine 45*m(h) - 4*w(h).\nAnswer: -5211*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333447 is divided by 1456.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 11. Let v be f(5). Let t(y) = -y**3 + 20*y**2 + 15*y + 27. Let q be t(v). Is 9 a factor of 5\/(-3 + -2)*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + x - 1. Let h be y(1). Suppose -h*s = -6*s - 32. Let q be (-3)\/(-12)*s\/6. Which is the nearest to q? (a) 2 (b) 2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*l = -3 - 17, -4*l = d + 20. Let w(i) = -2*i**2 - 5*i. Let s be w(d). Solve s = a - 2 + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46493, 99700, 152907?\n\"Answer: 53207*w - 6714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -700*m - 403. What is a(-1)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11641*c**2 - 17621*c**2 + 5 - 7 + 2 as y*c**2 + m*c + j and give y.\nAnswer: -29262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 10) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 41 = -5*c, -c + 3*c - j = 6. Solve -o + 3*z + 8 = 0, -12 - c = -3*o + 2*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141480 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*z + c, 8*z - 10*z + 3*c - 4 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 2, g: 1, e: 2, f: 10}. Give prob of sequence ea.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*u = l - 10, -2*u + 18 = 5*l. Suppose 3*a + 5 = 4*a. Suppose 61 = 5*f - a*n - 64, 0 = f + l*n - 31. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(20\/7)*k)**(7\/8)\/(k*k\/k**(-1\/6)*k)**(7\/3) assuming k is positive.\nAnswer: k**(-289\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 - 820197.\nAnswer: -820196.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*f + 9, -5*d + 5*f + 8 + 7 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/400 and -23\/21320.\nAnswer: 213200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570177665 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18443*a**4 + 36887*a**4 - 3931*a**2 + 965*a**3 - 18445*a**4 wrt a.\nAnswer: -24*a + 5790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 10*r + 1209*r**3 - 3*r - 5*r.\nAnswer: 1209*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*sqrt(99)*1 - -2*sqrt(99)*2))\/((1*sqrt(63)*3)\/(sqrt(7) + (sqrt(567) - (sqrt(567) - (sqrt(567) + sqrt(567)*2 + sqrt(567) - sqrt(567)))))).\nAnswer: -560*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 15*b**2 - b - 8. Let i be g(-15). Find the second derivative of w + 3*w - 3*w**5 - i*w**5 + 7*w wrt w.\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -233023.\nAnswer: -233021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/g**(-5))\/g))\/(g**(1\/4)\/g)*(g*g**2*g*g*g)\/g*g*g**4 assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + 2) + -2)**2 + (-6*sqrt(833)*1)**2 + -3.\nAnswer: 16*sqrt(17) + 30069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let y(r) = -330 + 497*r + 330. Give j(y(h)).\nAnswer: -247009*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6 + 2*d + d + 0*d + d. Is x(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscsscsccsccccccscs. Give prob of picking 3 s.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + f + 131 = 0, -9*q = -5*q + f - 125. Calculate the greatest common divisor of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.68 - -126.72. What is the fourth biggest value in 4\/9, m, 2\/293, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) - sqrt(25)\/(sqrt(5) + (sqrt(5) - (-4*sqrt(5) - sqrt(5))))) + (2*sqrt(700) - sqrt(28))\/sqrt(4))**2.\nAnswer: 26047\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let q = 0.4 + -0.8. Let k = q + 0.7. Which is the second smallest value? (a) k (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) - (28 + -27)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -7*c**5\/60 + 35*c**2. Let o(q) be the first derivative of -2*q**3\/3 + 7. Determine o(r(i)).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 105900 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.44 (b) -1\/2 (c) -3.0684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by (1 - -83) + 7\/(-2)*-2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915 (base 12) in base 4?\nAnswer: 1022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10001100010000000100100?\nAnswer: 10001100010000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 10 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - (33\/(-3) + (2 - -5))) + 12.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 + 37. Let x = -82 - o. Which is the closest to 2? (a) -3 (b) 3\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 + 16\/5*i + 10*i**5 - 22*i**4 - 12\/5*i**3 + 56\/5*i**2 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 + 74*q - 76*q - 130)*(-4*q + 4 - 4 + (3 + 2 - 4)*(-4*q + q + q)) in the form l*q**2 + z + o*q and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52724595500 rounded to the nearest one million?\nAnswer: -52725000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by (3 - 21)*12\/(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7172922385 + -0.1.\nAnswer: -7172922385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 11 - 16. Which is greater: q or -27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20627296 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 682, 692, 706, 724?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/45*30\/100.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**3*d*j - 10*a**3*d - a**3*j**2 - 15*a**3*j + 3*a**2*d*j**2 - 9*a**2*d*j - 1309*d*j**3 - 3*d*j wrt j.\nAnswer: -2*a**3 + 6*a**2*d - 7854*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 2. Let f(x) = -1. Let t(a) = 4*f(a) + r(a). Suppose -g + 11*c = 6*c, -8 = -4*c. Calculate the least common multiple of t(4) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/7, -15\/4441 in increasing order.\nAnswer: -15\/4441, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -65. Suppose f*x - 100 = -20. Solve 0 = -4*b + x + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:44 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*s + 35. Find the second derivative of -16*k**5 - s*k + 4 + 8*k**5 + k**2 + k wrt k.\nAnswer: -160*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16679 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f**2 + 94*f + 20. Let o(w) = 5*w**2 + 31*w + 6. Give -3*l(p) + 10*o(p).\nAnswer: 2*p**2 + 28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66207022 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1969 - -7179. Suppose 4*g = 2*c + d, -4*c + 985 = g - 304. What are the prime factors of g?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 2. Let s(y) = -12 + 11*y - 5*y**2 + 3*y**2 + 0*y**2. Let j(i) = -2*s(i) + 6*v(i). Factor j(f).\nAnswer: 4*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - x + 3. Let m(q) = q**2 - q. Let v(p) = 4*p**2 - 3*p - 1. Let j(a) = -3*m(a) + v(a). Let b = 7 - 4. Determine b*j(s) + f(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -0*f + 10*f - 98876. What is the lowest common multiple of 32 and f?\nAnswer: 41632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16383?\nAnswer: 3, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -5, -4 in descending order.\nAnswer: -1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**3*p**2*r - j**3*p*r - 45*j**3*p - 19*j**2*p**2*r + 5*j**2 - 4*j*p + p*r wrt p.\nAnswer: -24*j**3*r - 38*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-7*q - 6*q + 2*q)*(-5 + 0 - 2).\nAnswer: 231*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2 + 1005680*d + 1005684 = 0.\nAnswer: -1, 251421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1536000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 652.1057 centimeters?\nAnswer: 6521.057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -25\/3*k**3 - 5\/12*k**4 + 0 - 125\/2*k**2 + 22*k. Factor w(r).\nAnswer: -5*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.2, 82442?\nAnswer: 82442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*o + 1 - 5 + 2 to d*o + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -57. Suppose 2*w - 75 - k = -2*x, 5*x = 4*w + 217. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110128 and 295969.\nAnswer: 4735504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 10) to base 2.\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 15*q + 154. Let p be b(5). Solve l + 13 = -p*k, 84 = 2*l + 4*k + 94 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4*u - 2)*(-6*u + 7*u - 4*u) as p*u**2 + h*u + r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 1162114?\nAnswer: -63\/1162114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3276048 divided by 1\nAnswer: -3276048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20886 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-11)*396\/1512\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1151*x - 3569. List the prime factors of t(6).\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -i, 0 = -4930*i + 4925*i - 5. Sort -101, 3, z in ascending order.\nAnswer: -101, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/28140583 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02145 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23071*l**6 + 29*l**2 + 182*l wrt l?\nAnswer: -2768520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.4 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (-33 - -41)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267726996 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*n + 61 + 88, 4*n + 58 = 2*q. Let x(m) = m**2 + 2*m - 3. Let o be x(-6). Let h = q - o. Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**(2\/21))**(-3\/10) assuming w is positive.\nAnswer: w**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, -1, -7576, 8 in ascending order.\nAnswer: -7576, -1, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 381053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.012 + -0.03. Let t = y + 0.01800058. Round t to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)\/(v\/(v*v\/v**(2\/7)*v)*v))\/((v*v*v\/(v*v**(-2\/5)\/v))\/v*v*v**(2\/3)) assuming v is positive.\nAnswer: v**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 14*j - 4*t - 19, -3 = 3*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16125 divided by 5?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106393 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*p**2 - 2*d*p + 5*d + 113*p**2 - p - 4474 wrt p?\nAnswer: -2*d*p - 2*d + 226*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114))\/sqrt(6) - (sqrt(76)\/sqrt(2))\/sqrt(2).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-8 + 1)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 198, -3 in decreasing order.\nAnswer: 198, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-48)\/(-20))*-10. Suppose -o + 0*o = 0. Suppose -3*s + k = -8, -4*k = 5*s - o*k - 36. Is b greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -3.53?\nAnswer: -0.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:54 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 6108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -577, -575, -573, -571?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f - 2. Let c = -76 + 86. Suppose z - 8*w + 3*w = 23, -2*w - c = 0. Give q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174718 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (sqrt(847) + 1) - sqrt(847)) + 0)**2 - ((-2 + sqrt(847))**2 + 0) - 2*(-5 + 6*(sqrt(847) + 1 - sqrt(847)))**2)*2.\nAnswer: -10 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111000100 + -110011?\nAnswer: 1010110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*k + 31, 9 = q + 2*q. Let t = 131\/3 - 44. Which is the third biggest value? (a) k (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42599441*d**2 + 42599441*d**2 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -21*d**3 + 2846*d**2 + 801335*d = 0?\nAnswer: -139, 0, 5765\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 7 = 3*o, 0 = 3*o - 3*s + 6*s + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 703.8776 days?\nAnswer: 60815024.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 108*i**3 + 3*i**2 - 108*i.\nAnswer: -3*i*(i - 36)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 965194\/30 + (-10)\/75 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 - -279. Put 3, n, 5 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3018, 6050, 9086, 12126?\nAnswer: 15170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r + 5. Suppose r*n - 2*n - 30 = 0. What is the remainder when 18 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Factor 2\/3*g**2 + 0*g - 3*g**3 + 0 + 7\/3*g**w.\nAnswer: g**2*(g - 1)*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 6, 4, -5, -2, 9.\nAnswer: -5, -2, 0, 2, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3 + 2*d + 1. Let v be x(-1). Suppose v*i - 2*i = 12. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 161.6098 weeks?\nAnswer: 97741607040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67639794347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 28. Let r = -11 + 13. Suppose -r*j - 31 = -3. Is a(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453229935 is divided by 9837?\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3356 - -3366. Solve a = -3*m + 10, m = 5*a + 6*m - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m = -218*m + 67*m - 417*m + 21385 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 28577?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8*v + 4 = 3*v, 3*q - 5*v + 14 = 0. Let n(x) = -2*x - 7 - 4 - x. Let f be n(q). Which is smaller: -17\/6 or f?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 95. What is p(-15)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211362113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.1, 6\/7, -0.7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-1) - (-1 - -3). Let m(r) = r**2 + 7*r + 5. Let l be m(v). Suppose -11 = -l*d + 69. What is the highest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*j + 5*m - 0*m, -63 = -4*j - 3*m. Solve 13*c + 9 = j*c - o, -5*o = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26195*n**2 - 27949*n - 30?\nAnswer: 52390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 - 795*g**2 - 790*g = 0. What is g?\nAnswer: -158, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*2\/(-10))\/(((-22)\/198)\/((-10)\/12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 59. Let p(t) = -t - 10. Let h be p(-6). Which is the second biggest value? (a) r (b) h (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9.988. Let z = -7 - -6.94. Let j = z + i. What is j rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3443 and -51\/3005.\nAnswer: 10346215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -263, -598, -1065, -1664?\nAnswer: -2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -234. What is the closest to -2 in r, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/80*(6\/(-4))\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-7)*h)**(-14) assuming h is positive.\nAnswer: h**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -267105\/289 >= -923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-2)\/(-6). Let c = -57317 - -57300. Sort -3, c, 2, p in ascending order.\nAnswer: c, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -631\/9. What is the common denominator of x and 575\/90 - (-3)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(51\/2) + (-10332)\/(-612). Calculate the greatest common divisor of n and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 672.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 - 1995*x**2 - 199995*x - 198005 = 0. What is x?\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 15230.\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4083902 divided by 547?\nAnswer: -7466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 29 - 2 + 15 - 3*q - 2. Is s(-16) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/3, 5, -0.11, -0.08 in decreasing order.\nAnswer: 5, -0.08, -0.11, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 2*u**2 + 19*u + 1. Let g(k) = -2*k**3 - 2*k**2 + 19*k. What is -2*g(a) + 3*n(a)?\nAnswer: -2*a**3 - 2*a**2 + 19*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -1.86. Let w = 0.313 - -4.687. Let c = 211\/36 + -23\/4. What is the closest to c in w, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1493540 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*r + 9 = 2*r, -b - 10 = -5*r. What is the second derivative of -1248*u + 2 - 2*u**3 - 23*u**b - 4 + 1230*u wrt u?\nAnswer: -460*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.79052ns in milliseconds?\nAnswer: 0.00000379052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114 a factor of 295733466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4318000 and 518160.\nAnswer: 12954000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94790069, -189580137, -284370205?\nAnswer: -379160273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 3. Let g(t) = 819*t**2 - 1. Determine j(g(d)).\nAnswer: 1638*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 7*m + 9. Let q be a(-12). Calculate the greatest common divisor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 4113840.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.92. Let q = -0.14 - g. Let f = q + 0.060012. What is f rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00071195843 rounded to six decimal places?\nAnswer: -0.000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 174947 divided by 100?\nAnswer: 174947\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -2. Suppose -2*j + n = -3*j. What is the units digit of 36*(16\/j - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -0.5, -2, 0, -86\/3, -5?\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 45.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-7) + (-14)\/(-49). Suppose -4*s + 4229 = -3*z, 279 + 807 = s + v*z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02785 - -0.016416. Round m to 4 dps.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/4)*t*t**(-3\/4))**(1\/8)\/(((t\/(t**(-6)\/t))\/(t\/(t*t**(1\/7))))\/((((t\/t**(-1))\/t)\/t*t)\/t)**(9\/8)) assuming t is positive.\nAnswer: t**(-877\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbsbbsbbbbbbbbbbb.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k + 96 - 4*k**2 - 96 - 16*k. Let f(z) = -30*z. Determine b(f(u)).\nAnswer: -3600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*a + 6 + 6, -4*d + 3*a + 4 = 0. Solve -2*o - d*t + 0*t = 20, 0 = -4*o - 5*t - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + b**4 + 2*b + 0*b**4 - 53*b**4 + 0*b**4 + 4*b**4 + (3*b**2 - 5*b**2 + 0*b**2)*(b**2 - 5*b**2 + 6*b**2) - 3*b**4 - 2*b**4 - b**4.\nAnswer: -57*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 940370371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 88*z**2 - 10*z + 6. Let u(v) = -v**2 + 4*v - 2. Calculate c(g) + 3*u(g).\nAnswer: 85*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 377 (b) 2\/9 (c) 0.04 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*w + 7, -6*l - 4 = -w - 5*l. Let v(m) = -m**2 + 6*m + 4. What is v(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 55188627.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -171395 times 7\nAnswer: -1199765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibiiiwvwibw. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2755 + 375 = -7*g. Let h be ((-476)\/g)\/((-1)\/115). Calculate the highest common divisor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 745804.8 to the nearest ten thousand.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191000, -190998, -190994, -190988?\nAnswer: -190980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -26. Solve 0 = 3*v + 3*n - f, -v - n = 3*n - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from llxljljllllx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -316 + -20?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 872.8155 and 0.5.\nAnswer: 436.40775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tort when four letters picked without replacement from {o: 2, t: 3, r: 12}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 9*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -4, 2, 5, 3, 311, -3 in increasing order.\nAnswer: -4, -3, 2, 3, 5, 92, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*p - 2*p. Suppose 8 = p*q + 3*l - 40, 4*l + 96 = 4*q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2427 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/44 and -75\/532.\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1232\/87 at most -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 36*r**3 - 156*r**2 - 288*r - 192.\nAnswer: -3*(r + 2)**2*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 430425 (base 7) in base 4?\nAnswer: 102032112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 164\/15, -0.3 in descending order.\nAnswer: 164\/15, 0.18, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -1\/2 (c) -68\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(5\/2)*g)\/g*g**(4\/7))**49)**(-2\/11) assuming g is positive.\nAnswer: g**(-497\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(1 + 4 + (-1 + sqrt(245) - sqrt(245))*2 - ((-5*(sqrt(245) - (sqrt(245) + 0)) - sqrt(245) - sqrt(245)) + 5*(-3*sqrt(245) + sqrt(245)))))**2.\nAnswer: 8064*sqrt(5) + 564623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**4 - f**3 + f**2 - 1. Let q(g) = -20*g**4 + 6*g**3 - 6*g**2 - 19. Let u(t) = -q(t) - 6*s(t). Find the first derivative of u(p) wrt p.\nAnswer: 56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13863786 is divided by 527.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {q: 1, f: 5, o: 1, l: 3, e: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -3\/7 (c) 1412 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*r - 3, 6 = 13*h - 12*h + 3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfqllfqqqq. What is prob of sequence lqql?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -305a - -21d?\nAnswer: -2c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 19 + 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/4)*r*r**10*(r*r**(-1)\/r*r)\/r*r**(-1\/10) assuming r is positive.\nAnswer: r**(213\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let b(n) = -n**3 + n - n**2 + n**2 - 4*n - n**2 + x. List the prime factors of b(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -1. Let g = 17 + r. Which is the nearest to -38? (a) -3 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-290*v + 182*v - 270*v)*(2 + 2 - 1 + (-5 + 1 + 2)*(4 - 1 - 4) + 0 + 2 + 0)*(-3*v + 5*v - 3*v).\nAnswer: 2646*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 3. Let x(g) = g**2 + 0*g**2 + 3 + 6*g - 2*g**2. What is the remainder when u is divided by x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:42 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:11 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 61?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.47 - 3.47. Which is the nearest to l? (a) -2\/7 (b) 6\/13 (c) -1 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 2\/15 (b) 3\/103 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9441505*l**5 - l**4 - 4355*l**2 + 688*l + 3 wrt l.\nAnswer: 566490300*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 - 2 = 0. Which is the biggest value? (a) p (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945108 divided by 44207?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose 19*v - 31 - 45 = 0. Suppose -c*k - 16 = -4*i, 0*k + 5*k + 16 = v*i. Solve -o + 2*r - 8 - 5 = k, -r - 16 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 65 = 13*x. Solve 3*g = -2*k - 1 + 9, 20 = x*k + 5*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 71593882 and -0.1.\nAnswer: 71593881.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, f: 7}. What is prob of sequence sf?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/132*66\/(-60)*(-10)\/(-4)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3. Let j(h) = 4*h**3 - 8*h - 2. Calculate -j(w) + 5*m(w).\nAnswer: w**3 + 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59389, -118117, -176843, -235567, -294289?\n\"Answer: c**2 - 58731*c - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let v = -1 + 3. Calculate the remainder when l is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {s: 2, q: 2, a: 4, r: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 257 = -0*j - 5*y, 0 = -j + 5*y + 99. Suppose 8*r - 7 = j. Suppose 0 = r*i - i. Solve f - 2*m - 3 = -i*f, 2*m = 3*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**3\/15 + d**2\/5 + 1. Factor k(o).\nAnswer: -2*o*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 59*y**4\/4 - 25*y + 73. Find the first derivative of k(q) wrt q.\nAnswer: 177*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1165266 and 62\/783.\nAnswer: 33792714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let y(b) be the third derivative of 0*b - 4*b**2 + 5\/12*b**4 - 2 + 0*b**3. Determine -4*k(o) + y(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - i + 145824 + 32817 = 0, 0 = 4*i + 16. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 5, -10, -33, -64?\n\"Answer: -4*b**2 + 5*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y - y**2 - 37*y - 26 - 7. Let d(g) = -2*g**2 - 27*g - 34. Let w(j) = 4*c(j) - 3*d(j). Differentiate w(f) with respect to f.\nAnswer: 4*f - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9370, -3, 2, 0.1?\nAnswer: 9370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 515 in -1, 1, -2, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 - -154.3. Let v = -1 + 8. Let c = k - v. Sort 4, 2\/15, c.\nAnswer: 2\/15, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010113320 (base 4) in base 12?\nAnswer: 1160a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 3. Suppose -2*j = -4*l - 18, j + 5*l - y*l + 3 = 0. Suppose 0 = 7*w - j*w - 36. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.5 - 3.5. Let h = 29.72 + n. Let z = 0.27999909 + h. Round z to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1362307, 2724620, 4086941, 5449270, 6811607?\n\"Answer: 4*y**2 + 1362301*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z - 423. Calculate the remainder when g(35) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1027.2 - 1027. Let r(d) = 7*d + 1. Let h be r(-6). Let f = -125\/3 - h. Which is the nearest to f? (a) 0 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -166*f - 3. Let k be p(-1). Suppose -k = -5*z + 237. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + -3*(sqrt(121) + 1*sqrt(121)) - sqrt(121)) + 1*sqrt(121)*-4)*3)\/(sqrt(121)\/(-3*sqrt(11)) + sqrt(1100) + -2*sqrt(1100)).\nAnswer: 90*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3966 and 121.\nAnswer: -479886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.89245389 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (38 - (17 - -2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 1. Let n(v) = 14*v + 2. Give -n(b) - 6*r(b).\nAnswer: -2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 26*j**3 - 53*j**2 + 3*j + 2. Let z be p(2). Let -4\/3*y**2 - 8\/3 + z*y = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-27))\/(15\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*s + 17*x - 12*x - 1002, -s + 28 + 0 = -4*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvvvkqykvkvykvv. Give prob of picking 1 v and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 1590, 1566, 1526, 1464, 1374, 1250, 1086?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2223253 is divided by 309.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -515.5285 to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1712\/241931 or 1?\nAnswer: 1712\/241931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1199\/(-44))\/109*12\/(-75)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 + j**2 + j. Let d = -11 - -8. Let g be (1\/d)\/(1\/3). Let x be s(g). Put -3, x, 3 in increasing order.\nAnswer: -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, 80\/7, 66, -4 in increasing order.\nAnswer: -4, 80\/7, 66, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22571431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 32 = j - 2*f, 4*f + 8 = 0. Suppose 12 = 4*p + 2*b, 3*p + j*b - 2 = 2*b. Put p, -0.1, 25 in increasing order.\nAnswer: -0.1, p, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqxx when four letters picked without replacement from {f: 1, x: 5, q: 3, h: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*w + 4*i, 9*i = 5*i - 20. Let f be (0 + w\/6)*3. Let l(u) = u**3 + 4*u**2 + 2*u + 2. Let h be l(-3). Solve f = -h*a - 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -100*s**3 - 2*s - 2. Let q be t(-1). What is the greatest common divisor of q and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.46 and -18318.\nAnswer: -448058.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 + 19627*t**2\/3 + 1337237*t\/2 + 17060826.\nAnswer: -(t - 39356)*(t + 51)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - t**3 + 2*t**3)*(-1 - 2 + 1 + (-15 + 25 - 6)*(-1 + 1 - 2)) to q*t + x*t**3 + c + l*t**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (420\/50)\/(-6)*1550\/62\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) 14 (c) -3 (d) 2\/13 (e) 5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*w + 15*w - 60 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i**2 - 2*i**2 + i**2 - 8*i + 519 + 7*i - 520. Let r(d) = 3*d**2 - 4*d - 3. Let t be 4 + (-6)\/(1 + 1). Give t*r(f) - 5*u(f).\nAnswer: 8*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 139740392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 42*y**2 + 3*y - 29. Give n(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197337 divided by -3.\nAnswer: 65779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0254? (a) 2\/133 (b) -1\/10 (c) -3 (d) 2\/3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 115?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = r - 21, -2*r = -6*l + 5*r + 4*r - 10*r - 33 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/2 - 52*v**3 - 551*v**2\/2 + 133*v + 196 = 0. What is v?\nAnswer: -28, -7, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/378 and 139\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 10 - 12. Let t(l) = -20*l**2 - 3*l + 3. Let k be t(a). Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*i + 87*i - 26012 = 816*i for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346.0612 + -346. Let f = -18.46 + 18.4. Let c = h + f. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**7\/630 + j**5\/10 - 7*j**2. Let n(h) be the third derivative of s(h). Let b(x) = -x**2. Calculate n(b(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/49 (b) 1\/3 (c) -7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120110010 (base 3) to base 8.\nAnswer: -257612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/5)\/((-2)\/10). Suppose x - 1 = a. Let c(h) = -2 + x*h - 3*h + 2. Let v(b) = -3*b. Give v(c(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 24 - 16 = 0. Suppose 5*s - s - 36 = -4*r, -p*s + r + 21 = 0. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000 divided by 24611\nAnswer: -10000\/24611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73662963 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 14822759*b - 4.\nAnswer: -14822759*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4085241?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, t: 3}. Give prob of picking 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 3\nAnswer: 133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*d. What is the first derivative of -9*g + d + 9*g + 2*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/72 - 839*i**3\/9 - 703921*i**2\/3 - i - 3900. Factor g(b).\nAnswer: -(b + 1678)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2461*g*p**2 + 44*g + p**2 - 11*p wrt p?\nAnswer: -4922*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*t - 3366 - 2599, 3*o = -12. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31544923.\nAnswer: 31544923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.415 + -54730.3306?\nAnswer: -54724.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, 1 t, and 1 s when four letters picked without replacement from {g: 3, h: 2, s: 1, m: 1, t: 10, d: 2}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-10)\/80*-108\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -140. Let q = -97 - m. Solve q*s = 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(1700) + -1) + -1*sqrt(170)\/sqrt(10) + (sqrt(17) + 3 + -3 + sqrt(17))**2.\nAnswer: 78 + 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.148596 hours to seconds.\nAnswer: 534.9456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91781866 to the nearest integer?\nAnswer: 9580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -551, -1137, -1729, -2327, -2931?\n\"Answer: -3*n**2 - 577*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(195\/182)\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/3 - 1. Let g(z) be the third derivative of -z**5\/60 - 8*z**2. Calculate l(g(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k. Let h be 3*((-390)\/(-9) + 5). Suppose 7*a - h - 107 = k. Is 35 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)**(-2\/3)*b*b*b*b**1*b*b**0*b)\/(b**(-1\/6)\/b*b**(3\/5)*((b\/(b*b**1))\/b)**(-3\/29)) assuming b is positive.\nAnswer: b**(1651\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*f**3*h**4 + 114*f**3 + 7*f*h**4 wrt h?\nAnswer: -32*f**3*h**3 + 28*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose q*c - 5*c = -70. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2274 = -2306. What is the highest common factor of 2248 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1050.1 - -1052.1. What is the closest to -4 in x, -4, -0.4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -27*h + 61*h - 123 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 223610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8. Let v(k) = k - 2*k + 11 + 0*k - 3. Let n(w) = -3*s(w) - 2*v(w). Let b be 6*(1 + 0 + -2). Give n(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*l + 8 - 92, -3*m - 4*l + 84 = 0. Calculate the highest common divisor of m and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.3, 3\/20, 6, -84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 3, o: 1, f: 1, c: 14}. What is prob of sequence ww?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -1003, -14 in descending order.\nAnswer: 6, -4, -14, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t. Let c be v(6). Let o = c + 12. Is 3 a factor of 2\/o + 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*((-14)\/(-4))\/(-7). Let c be (b\/2)\/(6\/(-20)). Solve -5*t = s - 22, c = 5*t + 3*s - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1255308\/5 or 251063?\nAnswer: 1255308\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*h - 300. Suppose -4*o = 20, h = 5*i + 5*o - 18. Is 4\/14 + 645\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75769 - 1c3a?\nAnswer: -776a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*k = 102*k + 170. Solve 0 = k*m + 8*m - 75 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3572.000007345 + 3572. What is a rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1279*t**2*u**4 - 3*t**2 + 594 wrt u?\nAnswer: -5116*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/12 - 7*d**3\/2 - 11*d**2. Let x be n(-14). Solve 0 = 4*y - x + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:05 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 2, v: 4, z: 3}. Give prob of sequence fvz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1*9\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 1516*b**2\/5 - 287282*b\/5.\nAnswer: -2*b*(b - 379)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4740 is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/16 - (23 - 19). Let o = -4689355\/56 + 83733. Let x = o - k. Which is the nearest to -1? (a) 5 (b) x (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 - 3*i + 13. Let t(k) = -5*k**2 + k - 7. Let j(a) = -7*t(a) - 4*u(a). Let s be j(3). Let p(g) = g - 1. Is p(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/3*14\/3. Is 2 a factor of b\/(-21)*(-6)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Suppose 0*q + b = -2*q + 20, -4*b - 64 = -4*q. Calculate the remainder when 6\/(-9) + 200\/q is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (8 - 21 - -26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242.3 - -231. Let g = 12 + k. Let x = g + -0.8. What is the closest to 0 in x, -1\/5, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4)*-4)\/(-2). Let s = 1\/90 - 743\/45. Find the common denominator of a + (0 - (-412)\/8) and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 10. Let n(q) = 2*q + 9. Let j be -13 - -4 - -7 - -8. Determine j*n(z) + 5*b(z).\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.7464 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/17)\/t))**20\/(t\/(t\/(t\/(t*t**(-11)*t))))**(-1\/51))**(-24) assuming t is positive.\nAnswer: t**(-17360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + (sqrt(2) - (4 + sqrt(200))))**2.\nAnswer: 72*sqrt(2) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 16 = 2*t, 3*t - 2*i = -5*i + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkgmmmmmqmpqq. What is prob of sequence kqg?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g**3 - 1\/2*g**4 - 143*g**2 - 361\/2 + 342*g = 0 for g.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-2)\/(u**(3\/5)*u**(1\/5)))\/((u\/(u*(u**(1\/4)*u)\/u))**17*u**(-8)*u**(-2)) assuming u is positive.\nAnswer: u**(189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28803164 and 5396.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*h**2 + 2*b*h + 2*b + h**2 + 10976*h - 26 wrt h?\nAnswer: -2*b*h + 2*b + 2*h + 10976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 1. Let x(d) = -26*d + 2. Let z(f) = 8*s(f) - 3*x(f). Suppose 11 - 55 = -5*v - 4*h, 2*h = -2*v + 18. Let n = 6 - v. Give z(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 30*a - 47. Let r be s(-13). Solve 25 = r*i - 0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160539806 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -161. Let g = d + 90. Suppose -18 = n - 3*n. What is the remainder when g is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, 9, 53, 97?\n\"Answer: 44*l - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = 5*z, 0*z - 2*z = -2*j - 12. Suppose 0 = -2*p + 3*n + 2 + z, n + 4 = 0. Which is the fourth biggest value? (a) 6\/7 (b) p (c) -3\/2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b + d + 5, 4*d - 10 = -b. Let i = 75 - 21. What is the greatest common divisor of i and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6664\/9 (b) -775 (c) -2\/19 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 0*b + 14 = 0. Suppose n + b = 9. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 - 7 = -5*k. Let z = 30 - k. Suppose -2*q + 9 = q - v, -5*v = z*q + 11. Solve -s - q*s = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, -2, 4 in increasing order.\nAnswer: -2, 0, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855 a factor of 4293722130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 557118623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -20*m + 7 - 15*m**2 + 3*m + 17 + 16*m**2. Determine f(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 495246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1185, -1197, -1209?\n\"Answer: -12*r - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1845750*z**5 + 5660103*z**2 wrt z?\nAnswer: -110745000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:04 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3748*v + 5501 = -5743 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*z + 336*z - 436*z**3 - 1022*z + 345*z.\nAnswer: -436*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(208))*1*-6)**2.\nAnswer: 576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**3\/2 + l**2 - 26*l + 2. Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 - 1\/2*j**2 - 1\/3*j**3 - j. Let u(d) be the third derivative of -d**4\/8 - d**3\/3 - 9*d**2. Calculate 10*f(l) - 6*u(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222 is divided by 651?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/3*(-4 + 1). Let t = -11 - v. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501 * 1.283\nAnswer: -642.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 69*j - 431. Let r be w(-62). Let o(g) = -g**3 + 2*g**2 + 2. Determine o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23312330 (base 4) to base 3\nAnswer: 2110121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 946 = 869. Let p(o) be the first derivative of -o**3 + u*o + 17\/2*o**2 + 18. Let w(k) = -k**2 + 6*k + 4. Calculate -6*p(x) + 17*w(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -14*y. Suppose -3*l = y, 0 = 2*m + m - 2*l - 12. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3888)\/240)\/(-9))\/(33\/10)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/3*(-12)\/8. Is (-120)\/(-9) - f\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17511)\/(-396018))\/(26\/(-8)).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -437339 + -802661. What is f rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 41 = -3*l. Sort 0, 5, -22, l in increasing order.\nAnswer: -22, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 849*m**3 + 6*m**2 - 28*m - 7. Let g(k) = -849*k**3 - 5*k**2 + 24*k + 6. Give 7*g(x) + 6*v(x).\nAnswer: -849*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -157\/5. Is r equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or 336487?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -5.4. Let l = m - 3.75. Let k be (-6)\/(-4)*(1 + 0). What is the third smallest value in k, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000142 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 1 = 4*f, -5*y + 9 - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5)\/6 - 153\/(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83110.06538 - -83111. Let g = -0.5333 + r. Let z = g - 0.4. What is z rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y + 2\/57*y**3 - 1\/38*y**4 + 0*y**2 - 44 + 1\/57*y**6 - 2\/95*y**5. Factor n(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 28 = -20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (48 + 2) - 4 - (749 + -749).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - 3*j - 3. Let z = 0 - 4. Let c(v) = 5*v**2 - 4*v - 4. Let w = -45 - -48. Suppose s - 6*y + y = -17, -w*s + 13 = y. What is s*c(r) + z*g(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z\/(z*(z\/(z\/(z\/(z\/z**(-20))*z)))\/z))))**(-48)*(z\/z**(23\/5))\/(z*z**(-23)) assuming z is positive.\nAnswer: z**(-4948\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366039.\nAnswer: 23, 59393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3)*-2 + sqrt(3) + sqrt(9)\/(sqrt(15)\/sqrt(5)) + ((sqrt(300) + -3 + sqrt(300))**2 + sqrt(3) - (sqrt(12) + sqrt(72)\/sqrt(6))**2).\nAnswer: -119*sqrt(3) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 162*r**4 + 129*r**5 - 98*r**5 - 33*r**5 + (0 + 2*r**3 + 0)*(-4*r**2 + r**2 + r**2).\nAnswer: -6*r**5 + 162*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2 = 2*b. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 14. Let p be w(18). Let h be (-4)\/4 - 4 - -2 - p. Is (2 + h*-165)\/(2\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1797101 or 1797099?\nAnswer: 1797101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.58 - 2.429. Let j = y - 0.051. What is the nearest to -2\/5 in j, 2\/5, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 6536?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 16*z + 3 = 0. Let v(l) = -24*l + 39*l - 14*l + z. Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7768815 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56158202 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53429\/2270 + -42\/1135. Let v(x) be the first derivative of 9 - k*x**2 + 0*x. Let f(l) = l**2. Give v(f(r)).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17129?\nAnswer: 7, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*s - 18, s + 8*y = 7*y - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4281557 is divided by 307.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c + 0*c + (-3 - 2 + 2)*(-3 + 3 - 2*c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 18*i - 18*i**3 - 4*i + 1 - i**2 - 11*i - 7*i. What is the hundreds digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 56 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/332)\/(222\/(-3996))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4051564 (base 7) to base 12.\nAnswer: 1b3797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27088, -27087, -27086?\n\"Answer: a - 27089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 85. Let c = h + 15. Let u be 1412\/c + 3\/(-24). What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a - 520000 = 0. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/30)\/((((-91)\/5)\/13)\/((-171)\/(-285)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**6\/120 - x**5\/12 - x**4\/6 + x**3\/6 - 5*x**2. Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -242*z + 4. Let a be w(3). Calculate the common denominator of a\/(-112) + 9\/21 and -73\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + -11.31. Let l = -9.1 - m. Which is the second biggest value? (a) -0.6 (b) l (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 1 (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(24)\/sqrt(8))*-6 + (-3 + sqrt(320))*5.\nAnswer: -15 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220914768 divided by 3?\nAnswer: 73638256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606110237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 9. Let g(d) = -d - 1. Let x(m) = b(m) + 4*g(m). List the prime factors of x(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 + 891 = 25*a + 253. Solve -35*d = -a*d + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5237.895413 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.6, -4, 6\/7, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2124 or -2123?\nAnswer: -2123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + sqrt(91) + -4*((sqrt(91)*1 - sqrt(91)) + sqrt(91))))\/(sqrt(1008)*-3) + -5.\nAnswer: -5 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*((-104)\/16)\/(-13). Let l(u) be the second derivative of 5\/2*u**2 + 0 + n*u**3 + 11*u. Differentiate l(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -810292, -1620585, -2430878, -3241171, -4051464?\n\"Answer: -810293*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7539 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3724 (base 10) to base 8.\nAnswer: 7214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50263bb0 + 1?\nAnswer: 50263bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2045 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 6, z: 1, n: 1, q: 1, f: 1}. What is prob of picking 2 g and 1 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45\/150*(1 - 38\/(-6))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -79. Suppose 2*h - 25 = 5*v, 4*v + h + 6 = -14. Let y be 2\/(3 + v) + (-2 - -213). What is the highest common factor of y and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172\/7 + 337\/14. Sort -0.08, -0.4, 0.2, f in decreasing order.\nAnswer: 0.2, -0.08, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 14, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -691*x**3 - x**2. Let n be l(-1). Suppose -t = 4*t - n. Let h = -23 + t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -703 - -702.94. What is the third smallest value in -2\/9, -7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*d + 11, 5*n = -2*d - 17 - 21. Let w = n - -6. Let c be (-18)\/10 - (-3 - -2). Is c less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 6) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 36. Suppose p*t + 5546 + 4454 = 0. Round t to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/25776387 and 73\/13988.\nAnswer: 103105548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3042, 24335, 82106, 194595, 380042?\n\"Answer: 3040*s**3 - s**2 + 16*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/121900 and 103\/2680.\nAnswer: 16334600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -0*w + 3*w. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27450283569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 - 8*i + 6. Let y be j(6). Let u = -24 + y. Suppose 0*m = -u*m + 2382. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2169 - 2*k - 2169.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - -1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 3 - 3)*(89 - 87 + 187*x + 4*x) in the form z*x**2 + y*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18552 - -18559.957. Let t = -0.043 - b. Is t smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -136\/7, -0.16 in decreasing order.\nAnswer: 1, 0.4, -0.16, -136\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138942 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - u + 2)*(0*u**4 + 4*u**4 - 2*u**4) + 17*u**2 - 17*u**2 + u**5 - 6*u**5 - 4*u**4 + 4*u**4.\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43401 (base 6) in base 4?\nAnswer: -1131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125000414*w**3 - 2*w**2 + 794188705.\nAnswer: -375001242*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + q**2 + 0*q**3 + q**3 - 6*q**2 - q**2. Let r be t(5). Which is the second biggest value? (a) r (b) -0.1 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -3*l. Calculate the least common multiple of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**3*v**5 - 3*u**3*v + 8*u*v**2 - 4*v**3 - 6*v**2 wrt v?\nAnswer: -240*u**3*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 32. Suppose u + 10 = a, -3*a - u = -8*a + z. Suppose a*i = 11*i - 60. Solve 4*h = 2*v + i, -4*v + 3*h - 3 = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -14*l + 61560. List the prime factors of l.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 11*q**2 + q + q - 2*q**2 in the form f*q**2 + z + r*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4136 divided by -4136.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111173 divided by -103?\nAnswer: 111173\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 + 2*i. Let d(b) = 14*b. Calculate a(d(y)).\nAnswer: -196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w**3 + 11*w + 1982 wrt w?\nAnswer: 9*w**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-23)\/3. Suppose 0 = -4*w + 4 + l. Solve 0*p + 4*p = w*v - 28, 0 = -p - 2*v + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/10)\/((-6)\/(-20)). Let l = 787\/7 + -112. What is the second smallest value in l, -0.5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -280, 852, 2738, 5378?\n\"Answer: 377*g**2 + g - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-4))\/((-2)\/(-50)). Let l = -16 + o. Solve -p + 2*p = -3*d + 3, -3*p + 3*d = -l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 39*a - 35. Let f be b(12). Sort 5, 4, f, -5.\nAnswer: -5, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-45) + 0 + (-886)\/80 and 79\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23960*a**5 - 20*a**3*j**2 - 55*a**2*j**2 + 50461*a*j**2 wrt a.\nAnswer: -1437600*a**2 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {s: 3, r: 4, p: 1, j: 1, v: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**7\/1260 - v**4\/4 - 4*v. Let f(z) be the third derivative of n(z). Let j(k) = -7*k**2. Determine j(f(o)).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 3, w: 4, p: 2, z: 2}. What is prob of picking 1 w and 1 z?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (12 - (21 + (-21 - -16)) - 5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/325150 and -43\/292635.\nAnswer: 2926350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2916*u**4\/19 - 66366*u**3\/19 - 343192*u**2\/19 - 426104*u\/19 + 307328\/19 = 0.\nAnswer: -16, -98\/27, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568081965?\nAnswer: 5, 1423, 220391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -21072847430 and 6.\nAnswer: -21072847424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4773 = 5*l + 4838 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10875 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*a - 12, 9 = -13*m + 17*m - 11*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 32*f + 227. Determine o(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*b + 5*b + 60 = 0, b = -2*v + 27. Factor -v*p + 15 - 26083*p**2 + 26086*p**2 + 3.\nAnswer: 3*(p - 3)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93854 (base 11) in base 8?\nAnswer: 413125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/24)\/((3\/14)\/(336\/196)). Let y = -1 - -1.1. Let u = 0.9 + y. Which is the nearest to u? (a) o (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 603.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8)*-2)\/((-1347)\/9429)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -291, -1165, -2613, -4629, -7207, -10341, -14025, -18253?\n\"Answer: n**3 - 293*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124.24 - -124.04. Which is the fourth smallest value? (a) 0.4 (b) -0.3 (c) 12\/7 (d) 2\/3 (e) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 5*a. Let q be w(-5). Suppose q = 3*c - c. Solve c = k + 3, 6*k - 2*k = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08094 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*q - 4*h, 0*q - 2*h = 2*q - 12. Let u(d) = -d**2 - d - 3. Let x be u(0). Let k = 4 - 5. Put q, x, k in descending order.\nAnswer: q, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let r(a) = 77*a. Determine n(r(i)).\nAnswer: -154*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 + 20837 - 20837.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.3. Let z = -32 - -31.7. Let i = 0.6 + -1. Sort i, z, j in increasing order.\nAnswer: i, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 4*z - 15. Let u(h) = -7*h + 15. Give 3*n(a) + 2*u(a).\nAnswer: 12*a**2 - 2*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.05 times 3.84?\nAnswer: 11.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4139395 + 2004905. What is y rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(200) - sqrt(200)*-2)\/sqrt(4) - (sqrt(200)\/sqrt(4) - sqrt(50))*2)\/(((sqrt(100) + sqrt(100)*1)*-3)\/(sqrt(40)\/sqrt(4)*5)))**2.\nAnswer: 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 21*w - 2 = -20*w, 0 = -4*l - 4*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84783287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:09 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304016.766 - 303725. Let t = -292 + x. Round t to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 293*s**2 - 331*s + 4. Is 2 a factor of c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let m(t) be the second derivative of 7*t**3\/6 - 7*t**2\/2 - 8*t. Let x(s) = 6*j(s) + m(s). Give x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/6 - x. Let v(l) = -3*l. Let j be -6*2\/(-4) - 2. Let c(r) = j*v(r) + o(r). Let q(y) = -2*y. Determine q(c(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(76) - (sqrt(76) - sqrt(76)*-1*-2)))\/(sqrt(24)\/(sqrt(96)*-1)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4649, 9301, 13953, 18605?\nAnswer: 23257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i + 15*i - 4*i - 37)*(-4 + 6 + 0).\nAnswer: -2*i - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -983e5 + -30c?\nAnswer: -98702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 5*q - 6. Let a be o(6). Suppose -5*z - 1 + a = 4*p, -4*z + 3*p = -24. What is the derivative of 2 - 7 + z - u**4 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 9*o**2 + 4*o - 3. What is the units digit of q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 2352 - 6*v**2 - 12988 + 4*v**2 - 6*v**2.\nAnswer: -4*v**2 - 10636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 22*b - 167725 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(68) - (sqrt(68)*2 + sqrt(68))**2).\nAnswer: -617 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4801 + 376*n - 378*n - 1410 to t + q*n and give t.\nAnswer: -6211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**4\/24 + 50*g**2. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*t**2 + 319*t + 1922 wrt t?\nAnswer: 8*t + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-16)\/6))\/((-49)\/((-1470)\/(-15))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*o - 252*o = -119*o - 403 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*z + 280*z = -462. Calculate the highest common factor of 13 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3192, -1\/3, -1, 0.2, 2\/23 in ascending order.\nAnswer: -3192, -4, -1, -1\/3, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 899, 1788, 2679, 3572?\n\"Answer: g**2 + 886*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**3\/z)\/z)\/z*z*z\/(z\/(z\/z**(-5)))*z)\/(z**0)**(-10) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(26\/(-2613)) - 4\/2. Which is smaller: 201 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -36 (b) -19 (c) 3 (d) 2 (e) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -4 (c) 0.5 (d) 2 (e) -3\/5 (f) -3.8 (g) -0.0409\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 1. Let v(o) = 5*o**2 + o - 4. Suppose 0 = 3*f - 2*f - 2, 3*z + 2*f = 7. Calculate z*v(d) - 6*c(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6\/13)\/u**(-3))\/((u\/u**(4\/3))\/(u\/(u\/u**(-1\/7)))))**(14\/5) assuming u is positive.\nAnswer: u**(298\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*c**4 + 14*c**3 + 6*c**2 + 20 wrt c.\nAnswer: -648*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 + -0.12. Which is the closest to 1? (a) -2 (b) -13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, 1 x, and 1 p when four letters picked without replacement from jcxckjcxcxxckkxkptk?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a + 50. Let o = 37 - a. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - z - 2)*(-2 - 1 - 3) - 6*z - 2 + 25*z + 11*z to p*z + a and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - -5) - (4 - (5 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527656 divided by 7?\nAnswer: 646808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036577 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 126. Is j - (-1)\/(-2)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2834606 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 2.93. Let d = j + 7. Which is the third biggest value? (a) -0.1 (b) d (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x - 5. Let d = 3 - 6. Let r(f) be the second derivative of 0 - 2*f**2 + 5\/6*f**3 - 69*f. Give d*k(m) + 4*r(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210659 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: What is the thousands digit of 1220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -224029 and -315.1.\nAnswer: 70591537.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - f**3 + 9 + f**2 - 8*f**3 - 9 as x*f**2 + k*f**3 + m + d*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 112. Let s be (((-12)\/(-36))\/(-1))\/((-2)\/186). Let u be c(s). Calculate the highest common factor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.113, 3\/4, 1, 3 in increasing order.\nAnswer: -0.113, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 - 4*c. Let i be v(6). Suppose -16*t - i = -456. Calculate the greatest common divisor of t and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40424983 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 - 244. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Suppose -a + 7 = b. Calculate the remainder when 1*5 + (0 - -2) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-4))\/(160\/4096*64).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16399584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10487 = 2*c, 137*c - 133*c + 20 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2*n**5\/5 - 5*n**4\/6 + 2*n**3\/3 - 9*n**2\/2 + 21*n. Let m(v) be the first derivative of i(v). Factor m(y).\nAnswer: -4*(y + 1)*(6*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/24 - 17*a**4\/48 - a**3\/2 + 17*a**2. Factor w(s).\nAnswer: -(s + 3)*(5*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 1.9. Let h = -76\/25 - -8893\/2950. Let g = h - 179\/2242. Put -0.4, 0.5, g, p in decreasing order.\nAnswer: 0.5, g, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z + 1. Let u = z + -12. What are the prime factors of (-205)\/10*-2 + u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, i: 2, b: 2, y: 1, w: 1}. What is prob of sequence iew?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/68)\/(1\/(-14)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3049?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10586 bigger than -10587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) -5 (b) 0 (c) -2 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 63 + 85 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {x: 5, d: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101\/4 - 26. Let r(x) = -7*x - 21. Let s be r(-8). Let p = s + -37. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103272 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 5*u - t + 15, -5*t - 15 = -3*u. Let r = 2\/265 - -104\/265. Which is the nearest to r? (a) u (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + (0 - 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 - 0.07. Let d be ((-4)\/(-2))\/(-2) - 2. Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106597 is divided by 2082.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let v(r) = 17*r**2 - 6*r - 6. Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.23 + -1.3. Is -2 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2. Let g(u) = -1. Let o(r) = -7*g(r) - 3*h(r). Let y(t) = t - 9. Let p(c) = 2*o(c) - y(c). Is p(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {d: 11, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*b**2*n*r**2 - 12*b**2*n + 1091*b**2*r**2 + 484*b*n*r**2 - 2*b*n + 2402*b*r**2 + 3*n*r**2 wrt b?\nAnswer: 738*n*r**2 - 24*n + 2182*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -519 + 518.67. Let a = c - -39.33. Is 3 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -54\/6415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2692 - -2695. Solve 13 = 2*d + a*j, -3*j = 11 - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 12*g - 13*g - 6 - 7. Suppose 10*v = 15*v + 30. Give p(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5582581 milligrams?\nAnswer: 0.0000000005582581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -41*q + 283. Calculate x(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4 - -4) + 5 + (-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11590.\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 255 and -11.9?\nAnswer: -3034.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p - 4*p)*(-16*p - 27*p - 569 + 41*p).\nAnswer: 4*p**2 + 1138*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -23*f - 36*f - 363 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 806*t**4 - 1598*t**3 + 2406*t**2 = 0.\nAnswer: -401, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*n - 85*n + 7*n**3 + 45*n + 10*n**2 as s*n**3 + v + t*n**2 + o*n and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1506 - 3d32?\nAnswer: -282a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -3. Let p(n) = -n**2 + 3. Let f(o) be the first derivative of -o + 2. Determine m*f(g) + 2*p(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1187, -1176, -1151, -1106, -1035, -932, -791?\n\"Answer: m**3 + m**2 + m - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -2*t. Suppose -2*h = -t*h. Suppose h*v = -v. Solve -k - 5 + 0 = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + v = 36, 0 = 5*q + 5*v + 25 + 15. What is the remainder when 86 is divided by (-3)\/((-12)\/(-8))*q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biqzbkkqrzbq. Give prob of sequence kk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540140 (base 8) to base 12.\nAnswer: 88428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {z: 5, f: 13}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/22 - 3578976\/68112.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 5:52 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -157*o + 4041. Let p(a) = -59*a + 1346. Calculate -8*p(s) + 3*v(s).\nAnswer: s + 1355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34465 + 34482. What is the remainder when 17101 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387576 and 90?\nAnswer: 1937880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) -1\/2 (c) -4 (d) -10 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430269?\nAnswer: 3, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 19, s: 1}. What is prob of picking 3 r?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/60 + y**4\/12 + 2*y**2. Let k be 6 - 5 - (0 + -2). Let i be s(k). Sort 4, 1\/2, i.\nAnswer: i, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/4, 0.3, 1, -5, -6\/25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i. Let s(k) = -3*k - 1. Let t(n) = 2*f(n) - s(n). Let j(l) = l**2 + 5*l + 1. Calculate j(y) - 3*t(y).\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22365\/11 + 2033. What is the closest to 6\/13 in -9, -1\/7, r, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29\/25? (a) 2\/5 (b) 1 (c) -0.2 (d) 779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 14916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 97*n - 286. Let u be s(3). Solve -22 = 5*p + h, u*p = 5*h - 16 - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 106 = 3*j, 24540*q + 5*j = 24541*q + 172 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -x, 0 = -4*x - x - 4*z + 100. Let g = x + -4. Let d be (-8 - (-210)\/25) + (-13)\/(-5). Solve -d*r + g + 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3660207*z**2 - 280971*z - 6 wrt z?\nAnswer: 7320414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4854*f + 1009625. Calculate u(208).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(60\/16 - 3). Suppose y = k*y - 2. Let w(s) be the third derivative of -s**5\/60 - 8*s**2 - 1. Let q(x) = -2*x**2 + 3*x. Determine y*q(j) - 4*w(j).\nAnswer: 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 18107?\nAnswer: -10\/18107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**17)**(-34)*y**(1\/15)\/(y*y**(-15)))**(4\/21) assuming y is positive.\nAnswer: y**(-33836\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.98 + -2. Let q = 520.6 - 521. Which is the closest to 2? (a) q (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x**5\/3 - 18932*x**4\/9 + 112858*x**3\/3 - 490856*x**2\/9 - 23854*x - 20564\/9 = 0 for x.\nAnswer: -1\/5, -1\/6, 2, 97\/4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 59 + 18 + 37009*x**3 + 23.\nAnswer: 37009*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271 - 254.69. Let v = -17.3 + l. Round v to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 + 5. Determine a(4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -59. Let g(l) = l**3 + 4*l**2 - 4*l + 4. Let i be g(-5). Let k be (1 + -1 - 18)\/i. Calculate the highest common factor of k and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27215, 54986, 82635, 110102, 137327, 164250?\nAnswer: 190811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3390*u + 431881 = 136951 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13356541*y**2 - 3640949?\nAnswer: 26713082*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(1539))*3 - (sqrt(1539) + -1 + sqrt(1539))*5 - (sqrt(1539) + -1 + 1 - (sqrt(1539) + sqrt(1539)*-2*2)))*4)**2.\nAnswer: -25344*sqrt(19) + 2980528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.33241494 + 2.3319. What is v rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 3. Suppose -v*m + 5*m + 5 = 0. Solve 0 = m*d + 5, -3*d + 4 = -3*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/19 - (-276)\/1539.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/1977?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)*c)\/c**(8\/3))\/((((c\/(c**(-5\/6)*c))\/c)\/c)\/c)**(2\/17) assuming c is positive.\nAnswer: c**(-137\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -46*q. Suppose -4*l - 2*f + 340 = -2*l, 0 = 4*l + f - 665. Let t(r) = -2 + l*r - 167*r + 2. Determine v(t(k)).\nAnswer: 92*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 + 204. Which is the nearest to -1\/4? (a) n (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5889 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1323 and 24444?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -314, -586, -858, -1130, -1402?\n\"Answer: -272*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 13*c - 11. Give w(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let y(g) = -8 + 8 - 13*g. What is f(y(t))?\nAnswer: -169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/((-1)\/(-6)*1). Let u = z + 275. What are the prime factors of u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*r**3 - r**2 + r + 62?\nAnswer: 54*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 173.98, 1, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 14*v - 6*v. Let b = -5 + v. Suppose b*l = -5*j + 62, 7*j - 72 = 3*j + 4*l. Calculate the highest common factor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + -14 - (-1 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 30\/49, -1\/4 in descending order.\nAnswer: 30\/49, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5639 + -5639.2. What is the nearest to -1.1 in k, -1\/4, -100?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(26)*1)\/sqrt(2) - (1 + sqrt(13))**2*4) + 3 + (sqrt(13) + (sqrt(208) - sqrt(13)))**2 + ((sqrt(117)*-2)\/sqrt(9) + sqrt(13))**2).\nAnswer: -504 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 1\/7, -5, 0.01, 3\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -10. Let w = -5 - p. Which is the nearest to -1\/4? (a) 4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18887200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*q + 1351 = 1391, -17 = 4*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8536266.\nAnswer: 2, 3, 23, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/15 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 8, -4*y + 260 = i - 2*i. Let d be ((-6)\/20)\/(y\/(-65)). Let a = 6\/11 - d. Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -10257?\nAnswer: -1\/10257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*j**5 - 111243*j**4 - 10893501*j**3 - 298020108*j**2 - 805664496*j - 19955520 = 0 for j.\nAnswer: -820, -52, -3, -1\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*u = -15, -4*x - u - 4*u = -41. Let a = x + -4. Calculate the lowest common multiple of a and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 3*n + 3. Let h(w) = w**2 - w + 1. Let o(p) = -3*h(p) + q(p). Let j(x) = 8*x**2 - 2. Calculate -j(b) - 6*o(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 7*m**3 - 5*m**3 + 6*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 104. Suppose -16*t + p*t = 909. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-11378347\nAnswer: -45513388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*s - 12, 0 = 19*s - 16*s + 9. Let m(z) be the first derivative of -43 - 7\/2*z**2 + w*z. Let d(j) = 7*j**2. Give m(d(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*g + 17. Let i = -471 + 471. Solve i = g*q - 5*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j**4\/7 - 30*j**3 + 7389*j**2\/7 + 64140*j\/7 + 141600\/7 = 0. Calculate j.\nAnswer: -8, -5, 236\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.6 * -0.816.\nAnswer: 19.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92473, 185572, 278671?\nAnswer: 371770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -322\/765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -m. What is the third derivative of -10*a**5 + m*a**2 + a**2 + 27*a**5 wrt a?\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 222. Let m = 592 + -567. Let p be g(m). Solve -39 + 30 = -p*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 - -6.443. What is m rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooooeoooooe. What is prob of sequence ee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*b = -114*b + 1128. Let n(o) = 20 - b*o - 3 - 1 + 373*o. Let f(z) = z**2 - z**2 + 2*z**2. Give n(f(i)).\nAnswer: -6*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 244, -11, 3 in descending order.\nAnswer: 244, 3, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2142)\/5100*-75)\/((-2)\/(-4)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 15*q - 11. Calculate the least common multiple of v(-14) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 + 417. Let r(z) = -750 + p + z. Let y(s) = 4*s + 5. Let a(n) = -n - 1. Let v(u) = -15*a(u) - 3*y(u). Give r(v(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9872 or -4118?\nAnswer: -9872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/20 - -1\/60. Let h = -0.04 + 0.44. Let c = h + -2.4. What is the nearest to 0.1 in -0.2, n, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 27*p**4\/4 - 5*p**3\/6 + 5*p**2\/2 - 12*p. Suppose -5*u + 8 = -7. Is q(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575.3001l to millilitres.\nAnswer: 575300.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 19*w + 2)*(4 - 5 + 3) + 18*w + 50 - 14 - 40.\nAnswer: -20*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (8 + -8 + 7 + -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26569719 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 799*z - 801*z - 13. Which is the fourth smallest value? (a) 3 (b) -7 (c) z (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63852 - -90409. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(7\/2*4\/14). What is the nearest to -1 in z, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -4, -2037 in descending order.\nAnswer: 7, 3, -4, -2037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 4. Let v(n) = n + 2. Give 6*a(h) - 13*v(h).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1\/3, 0, -2\/371, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = 9. Let y(v) = 4*v - 2*v - 3*v + 1 + 19*v**2. What are the prime factors of y(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3228 divided by 6\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2 + 10. Let x = d - 5. Let f = -7 - -12. Sort f, -1, x in decreasing order.\nAnswer: f, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxx when three letters picked without replacement from ffxfxfffffffxf?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 5\/8 (c) 4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = -6*j + j, 2*j + 3*l = 5. Let y be (30\/20)\/((-1)\/j). Solve 4*t + y*c + 29 = 0, 2*t + 3*t + 3*c + 34 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**4 - d**3 + 1. Let y(b) = -6*b**4 - 2*b**3 + 3*b**2 - 7*b - 1. Let v(r) = 15*l(r) - 3*y(r). Factor v(q).\nAnswer: 3*(q - 3)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-1080)*10)\/(350\/28).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4545199, 4545170, 4545141, 4545112?\nAnswer: 4545083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5987 and -65?\nAnswer: -389155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -21?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324125442*1.\nAnswer: -324125442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:36 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*d + 457*d + 266*d + 259*d - 305*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 - 4*r. Let c(b) be the second derivative of 3*b**5\/10 + 3*b**4\/4 + 10*b**3\/3 + 6*b. Let z(f) = 2*c(f) + 11*i(f). Give z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 0 - 3*c**2 + c + 2. Suppose -d - 2*q = -45, 3*q - 40 - 8 = -d. Suppose -m - d*h = -37*h + 1, 2*m - 3*h = -9. Determine p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17656\/12*3)\/1 - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 1401.56262.\nAnswer: 1401.36262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622637 (base 9) to base 10.\nAnswer: 369394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*b**3 - 3*b - 114*b**3 + 3*b - 9*b**3.\nAnswer: -501*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7620 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 857 + -848 + (1 - 1) + -18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 89. Suppose 642 = 4*a + w*o + 190, -o = 3*a - 328. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 31306?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.081 (c) 4\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.72 - -0.28. Let u = -53.5 + y. Sort 5, u, -0.2, -11 in descending order.\nAnswer: 5, -0.2, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -1\/2*j**2 - j + 2. What is the first derivative of d(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 690\/60*401\/(-2)*-8. Suppose 0 = -2*r + 8, -2*z - 7*r = -10*r - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/12)\/(75\/120).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 2 a when four letters picked without replacement from hyayasyayshyy?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o**(-19)*o))*o)\/o*((o**36*o)\/o)\/o*o)\/(o**(15\/2)\/(o**(6\/7)\/o)) assuming o is positive.\nAnswer: o**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 760 + -758. Let i(n) = -n - 6. Let j(h) = 4*h + 29. What is v*j(k) + 11*i(k)?\nAnswer: -3*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003251 rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - 94*r + 920. Let g(d) = -9*d**3 - 282*d + 2764. Let o(i) = 4*g(i) - 11*t(i). What is the derivative of o(b) wrt b?\nAnswer: -9*b**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 20*c - 101. What is d(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01641189164 rounded to four dps?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - ((-18)\/(-3) - 0). Let x(n) be the second derivative of -3\/2*n**y + 0 - 1\/6*n**3 - 2*n. What is x(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 86759895?\nAnswer: -69407916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(12\/7))\/(f\/f**(-2\/3))*((f\/((f\/f**(2\/29))\/f))\/f)\/(f*f**(11\/5)\/f) assuming f is positive.\nAnswer: f**(-3299\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76\/3*s**2 + 4*s**4 - 20\/3*s**5 + 68\/3*s**3 + 0*s + 16\/3 = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.5606 + 22.96074. Let t = -0.44 - -4.04. Let x = t + m. Round x to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3623\/10851 + 2\/3617. Let u = 0.2 - 0.4. Put b, 5, u, -0.06 in descending order.\nAnswer: 5, -0.06, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 29 = 3*m - 58, 99 = 3*m + 2*z. Suppose 4*o + 2*t = 38, -2*t - m = -3*o - 3*t. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4991876 to the nearest 10000.\nAnswer: -4990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 - 954353*d**2 + 3817425*d - 2863071 = 0. What is d?\nAnswer: -954357, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -14*b + 16*b - 17, 5*b = j + 2. Suppose -3*y + 78 = -s, 200 = -2*s + 5*y + 42. Let x = s - -254\/3. Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a + 4*k + 3, -5*a + k = 10. Let v(g) be the first derivative of 4*g**3\/3 + g**2 - g + 50. What is v(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*i**2 - 20*i**2 - 10*i**2 + 2 - 32*i + 2*i**3 + 0*i**3 - 2*i**4 to the form g*i**2 + b*i**4 + t*i**3 + f + a*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 = -28. Let r(l) = l**2 - 6*l + 5. Let u be r(i). Let m be (u\/(-16) + 1)*8. Solve -m = o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let o(w) = -6*w + 9. Let u(a) = -3*h(a) - o(a). Is u(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36010732.\nAnswer: 2, 23, 509, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, e: 2}. Give prob of picking 2 t and 2 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13795*s - 13795*s - 12*s**2 - 30*s**2 + 98*s**2. Let b(m) = 3*m**2 + 1. What is a(b(r))?\nAnswer: 504*r**4 + 336*r**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -2\/229 (b) 0.1 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 0*z**2 + 2*z**2 + (4*z**2 - 7*z**2 + z**2)*(-6 - 5 + 6).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 23*p - 983. Let q be s(43). Calculate the highest common divisor of q and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3679 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/60 - o**4\/8 - 5*o**3\/3 + 6*o**2. Let d(a) = 11*a**2 - 1. Calculate the remainder when g(7) is divided by d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 8*i**2 - 6*i + 7. Let u be t(-7). Suppose u = o - b - 0*b - 3, b = 5*o - 23. Suppose 4*h - 1177 = -o*k, h = -4*k + 354 - 57. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*t**4 - 29*t**3 - t**2 + 79*t + 1?\nAnswer: 1872*t - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**5 + 129*w**4 - 117*w**3 - 405*w**2 + 12*w + 180 = 0.\nAnswer: -15, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-10)\/2)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1333.01915 - -5321.859137. Let f = -3989.12 + w. Let p = f + 0.28. Round p to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c - 6*c)*(0 + 1 - 4)*(-c + 4*c - c)*(3 - 4 - 4).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7536*d - 266. Let u be p(5). Let w be ((-158)\/(-36))\/(8\/69172). Let i = w + u. Calculate the common denominator of -67\/16 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89248, -178478, -267708, -356938, -446168?\n\"Answer: -89230*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9*w - 1115590 = 7*w, -3*w = -2*p + 446217. Suppose d - p = -71016. Round d to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 3*n**2 - 51*n - 31*n - 18*n + 104*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64163 and 627?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4666*p**4 + 3*p**3 - 265*p**2 + 3*p - 6. Let k(b) = 2*b**4 + b**3 + b**2 + b - 2. Let w(r) = -3*k(r) + m(r). Find the third derivative of w(v) wrt v.\nAnswer: 111840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 88839 = -6*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64778 - 0.24778. Which is the fourth biggest value? (a) x (b) 1\/4 (c) -0.5 (d) 0.44 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Suppose 0 = -10*h + 74 - 44. What is l in -h*l - 59 + f*l**3 + 59 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 14689403.637?\nAnswer: 14689405.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*b - 3, 4*b = h - 7 + 24. Let q(m) be the first derivative of b - 1\/2*m**4 + 4*m - 4\/3*m**3 + m**2. Determine u, given that q(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-133))\/((-37)\/(-518))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnf when three letters picked without replacement from rwrlfnwrrwr.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 8*j - 9*j - 17 + 938*j**2 - 2*j to g*j**2 + k + d*j and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -7c?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y. Suppose -2*m + 7 = j, -j = -m - 0*m + 5. Let b be v(m). Suppose -1 + 9 = b*w. Solve 3*p + 5*u - 16 - w = 0, -7 = -4*p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(147) + 1*sqrt(147)) - (5 + -1*sqrt(432))) + -2)**2.\nAnswer: -952*sqrt(3) + 13921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5)\/(-10)*-18)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.523656 tonnes in nanograms?\nAnswer: 2523656000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/17113464 and -8\/713061?\nAnswer: 17113464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:00 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6 + 2)*(-18)\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 18. Suppose 7*m = 5*m + u. Find the second derivative of -y**m + y - y**3 - 6 + 6 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191932264 by -8.\nAnswer: -23991533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.87 less than -651\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12592 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67858646 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) -28853714 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/150)\/(4\/(80\/150)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404565.\nAnswer: 3, 5, 7, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from oaooaaaaoaoaoasooso.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 7\/20*y**5 + 0 + y + 17\/2*y**2 + 0*y**4 - 11\/6*y**3. Let v(l) = -4*l**3 + 6*l - 9. What is 6*o(j) + 11*v(j)?\nAnswer: -2*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(1 + 2*w**3 - 1) - 4234*w**3 + 2*w**2 + 2013*w**3 + 2603*w**3 to the form p + b*w**2 + d*w + k*w**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/344? (a) -10.3 (b) 0.02 (c) 0.8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3, x + u = 16 - 11. Suppose 3*r + 3*t + 3 = 0, x*r = -r - 4*t. Sort r, 24, 0.4.\nAnswer: r, 0.4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 - 12*b + 23. Let k be j(-2). Sort -3, 2, -9, -2, k in ascending order.\nAnswer: -9, k, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.083, -0.039, -3\/7, 3?\nAnswer: -1.083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232410 (base 7) to base 16.\nAnswer: a2ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + u)*(6 - 6 - 4*u) + 5*u**2 - u**2 + 3*u**2)*(-u + 2 - 2).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 27993*k - 6832870.\nAnswer: (k - 242)*(k + 28235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(9 + -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g + 611 = -63*g + 2336 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9098685181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2010 and 139360.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -0.2, -1, -119, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -925*f**3 + 0 + 3*f**2 + 1 + 899*f**3 - f**2 in the form a*f**3 + x + k*f + z*f**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a factor of 12044340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 182*l - 617. What is z(-57)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 + 33*o + 225. Let s be h(0). Let c = 28 - 19. What is the greatest common factor of s and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/7, -4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.407*-272921.\nAnswer: 111078.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702229 and 25773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1489, 1506, 1555, 1654, 1821?\n\"Answer: 3*m**3 - 2*m**2 + 2*m + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6082*w - 3. Let y be n(2). Let d = y - -14489. Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1 (c) -2\/3 (d) 14\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5562.644 centuries?\nAnswer: 6675172.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1498071971\/1134 - -1321051. Calculate the common denominator of g and -145\/972.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 6*g - 6. Let k be u(4). Let r be -4 + k + (4 - -2). Suppose r*s = s + 6. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*2\/(-3) + (-6540)\/(-90).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4221957639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -23, -0.56?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -382086315*w**2 - 66070373?\nAnswer: -764172630*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 188 = -4*s, -5*j - 2*s + s = -1016. Suppose -j = -7*i + 27. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 2. Determine b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-38 - -39) - (17 + -1 + -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*z**4 + 54*z - 1494?\nAnswer: 28*z**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221664 is divided by 458?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 6, y: 13}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 93 = -3*y + 36, -139 = -3*y - 2*p. Suppose -16 = -4*i, -2*c - 2*c = -4*i - 76. What is the remainder when y is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 2*y - 1. Let z(l) = -2*l**2 + l - 1. Let o(w) = w**3 + 7*w**2 + 3*w + 8. Let q be o(-7). Let x = q - -9. Calculate x*z(u) + 3*c(u).\nAnswer: -u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 47, 5, 3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/o**(2\/7))**(1\/50) assuming o is positive.\nAnswer: o**(47\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 4128*x**3 - 33204*x**2 - 78992*x - 49920 = 0. Calculate x.\nAnswer: -4, -3, -1, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 - -140. Suppose -326 = -m*k + 50282. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*j - 1183, y - 3*j = 2*y - 385. Let t = y - 257. What is the lowest common multiple of 9 and t?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -393983, -394176, -394383, -394610, -394863?\n\"Answer: -s**3 - s**2 - 183*s - 393798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-120)*(-5)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/(((-5365)\/518)\/29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41273 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u - 35. Let j be v(-4). Let a(g) = -14*g + 5. Let f(s) be the second derivative of 3\/2*s**3 + 0 - 3\/2*s**2 + 3*s. Give j*a(m) + 8*f(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1679*g**4\/6 + 1939*g**3\/3 + 261*g + 4. What is the second derivative of z(w) wrt w?\nAnswer: 6716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 + 83*q - 55. Let k be x(-17). Calculate the highest common factor of 2303 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1343.972789 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 3*s**2 + s - 7. Suppose 4*c + 16 = 44. What are the prime factors of t(c)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 - 2*d**2 - d + 10. Let z(f) = 11*f**3 - 4*f**2 - 3*f + 19. Let l(t) = 13*c(t) - 6*z(t). Let h be l(-3). Solve -5*q + h = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 19 = 245. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.836g in tonnes?\nAnswer: 0.000541836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-10)\/i)\/i**(-2\/33))\/((i*i\/i**(-6))\/(i*i*i**14)) assuming i is positive.\nAnswer: i**(-64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -582 + 4048. What are the prime factors of t?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(-3*y + y - 3*y)*(-10 - 10 + 8) in the form z + u*y and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -193. What is the highest common factor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 >= 548\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/6 - -3) + 1274\/42 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1332 * 1.2\nAnswer: 0.15984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 606 + -3028\/5. Let y = -22\/5 - -423\/95. Is k >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 10129.52g?\nAnswer: 10129520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 57, -0.5, -5, 2, 9\/25?\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 50*z**3 + 2*z**2 - 11*z - 16. What is a(3)?\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3414 + 17123\/5. Let r = -28519317\/8 + 3559239. Let m = -5683 - r. What is the common denominator of m and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533355 is divided by 442?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*v**2 - 240*v**2 - 243*v**2 - 241*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48629 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*j**4 - 2*j**2 - 23*j**4 - 21*j**6 + 52*j**4 wrt j?\nAnswer: -2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. What is the units digit of -1 + (-1*18)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 55.27. Let y = 0.13 - g. Put 3\/7, 2, y in descending order.\nAnswer: 2, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10689 - 788 = 1253*n - 36957 - 8274 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -74. Let k = 152 + b. Let c = 87 - k. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + 6*y + 1921. List the prime factors of a(0).\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrws when four letters picked without replacement from {w: 7, r: 3, s: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:38 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 3\/7, 4, 7, 2\/7, 0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5628236 to the nearest integer?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:41 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-25)\/(-30))\/((-9)\/(-54)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*q + 12, w + 5*q = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941709 is divided by 372.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*j = 147*j - 24. Solve 0 + 24 = -j*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d - 3*d - 2*d. Let i(k) = -8*k. What is g(i(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 5:53 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36334407 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35937457697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 + 683*m - 6306. Determine f(9).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k - 39*k - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 80*x - 1231. What is the smallest common multiple of (-2)\/(-9) + 102\/27 and w(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12838537*n + 20144559 wrt n.\nAnswer: -12838537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 3*o, 5*i + 0 = 2*o + 15. Let q = 0 + i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2502385 is divided by 1007.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 533268 to the nearest 1000.\nAnswer: 533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -4*i - 2*n, -2*n - 323 = -2*i - 107. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2708 plus 200?\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d)**(-5) assuming d is positive.\nAnswer: d**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 3*t - 128 = 0. Let d be (t\/20)\/(6\/60*-14). Which is bigger: d or 0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 112?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36941, 36932, 36919, 36902, 36881, 36856, 36827?\nAnswer: 36794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 m, and 1 f when four letters picked without replacement from {f: 4, q: 5, m: 1, w: 4, j: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -3201, -10485, -24499, -47445, -81525, -128941, -191895?\nAnswer: -272589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1212220202?\nAnswer: -1212220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Sort 29\/2, -13, 305 in decreasing order.\nAnswer: 305, 29\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.1 - -11. Is 12 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 6*h**2 + 6*h - 3. Let v be m(5). Let z(k) = 2*k + 0*k**v + k**2 - 6*k - 2. Determine z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34069*q**3 - 28935*q**2 - 1.\nAnswer: -204414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 15395 = -3*g + 9*d, -d - 7725 = -2*g. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 897 = -147. Solve -y = 27 - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - (3 + -1)) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from jtcyttcycqc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 2) + (3 - (-1 + -1)) + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202 is divided by 799.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3608217 by 39.\nAnswer: 1202739\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x + 13. What is h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*z - 2*a, 0*a = -3*a + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.1. Let z = -1.1 + v. Let g = z - -1.5. What is the biggest value in g, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73542.259 to the nearest one thousand.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w - 49*w + 707 - 707.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 2*d**2 - 1. Let w be l(-1). Suppose v = w*v - 1270. What are the prime factors of v?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/8 + 7*c**4\/12 - 23*c**3\/12 + c**2 - 53*c. Factor f(r).\nAnswer: (r - 1)*(r + 4)*(5*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/11*r**2 - 60\/11 - 34\/11*r + 2\/11*r**3.\nAnswer: 2*(r - 2)*(r + 1)*(r + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 12. Let v = p + 5. Suppose 3*c + v*c - 294 = 0. What is c rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 10*l - 16. Let t be x(12). Suppose 0 = 4*c - t, 0*g - 5*g = 3*c - 26. Solve -3*w + g*w - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14769064.\nAnswer: 2, 109, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bbbobboobbbboo?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g - 13. Let q(z) = -12*z + 15. What is 4*d(m) + 3*q(m)?\nAnswer: 8*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/6 + 9*y**2\/2 + 6*y. Let q(d) = 7*d**2 - d**3 - 98 - 5*d + 85 + 6*d. Let r be q(7). What is k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1020794 and -32\/80589.\nAnswer: 3062382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1451013635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -54\/17993 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + 2 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75336 = -3407*s + 588*s + 74583 + 237549 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/11)*x**(-3)*x*x**9*x**(-1) assuming x is positive.\nAnswer: x**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 9. What is f(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - 3.2536097.\nAnswer: -4.1536097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20863\/655 - 33\/131. Let n = i - 32. Suppose 2*p = -26 - 6. Is p greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -280, -1\/8, -1\/4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -110?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 4. Calculate j(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2064*z - 3705*z + 1880*z - 2*z**2 as a*z + s + m*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + 3 + 0. Let y(g) be the third derivative of g**5\/10 + 3*g**2. Let h be y(1). Calculate the greatest common factor of h and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let b(o) = 2*o. Let a be b(n). Let q(t) = a*t - 5*t - 6*t. Let x(u) = 4*u. Determine q(x(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15906*b - 15910*b + 3*l - 0 + 18, 33 = 3*b - 4*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 + 5.4. Let i = -35.2 + 35. Let t = b + i. What is the closest to 1 in -1.1, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1520136 and 91\/168904.\nAnswer: 1520136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from iiigivgiiiigig?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -19516186 = -19516186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**3 + 1732*j**2 + 62784*j + 20736.\nAnswer: 4*(j + 72)**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -118090\/37?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 2\/4. Let o be ((-18)\/(-21))\/((-6)\/(-44)). Let z = -433\/70 + o. Do z and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*n = -19, -4*r - 16 = -0*n + 4*n. Let q = -3556 - -78251\/22. What is the common denominator of q and (r\/(-2))\/((-184)\/(-667))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-12) - 201\/(-2).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196050945\/7 at least as big as 28007277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -7. Let b(a) = 3*a**2 + 3*a**2 - 4*a + 3*a - 2 + 5*a**2. List the prime factors of b(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*t + 0*t - 69 = 0, -5*t = 3*h + 139. Let v be 248\/3*(-225)\/(-60). Let f = h + v. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllllllulllluu. Give prob of sequence llll.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.30437868 to 1 dp.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1605, 1615, 1627, 1641, 1657, 1675?\n\"Answer: y**2 + 7*y + 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(8*c**4 - 33*c**3 + 33*c**3) - 111*c**4 - 61*c**4 + 75*c**4 in the form o + q*c**3 + g*c + i*c**4 + p*c**2 and give i.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7336*p**2. Let q(z) = -3*z**2. What is q(k(x))?\nAnswer: -161450688*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 736 - 112 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1261609 nanoseconds in days?\nAnswer: 0.00000000000002460834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-63)\/(-15))*-5. Suppose 4*n + z = 4*y, y + 3*y + 4*n = -16. Let p(i) = i**3 - i**2 - 6. Determine p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6944355 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2804, -11314, -25498, -45356, -70888?\nAnswer: -102094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -3834?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*a + 542 - 542 as n*a + x and give n.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 0, 3\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (-4 - -2)\/(1\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50578.7kg to micrograms.\nAnswer: 50578700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + c - 625, 5*x + 5*c - 161 = 4*x. What is the greatest common factor of x and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1021, 2044, 3035, 3976, 4849, 5636, 6319, 6880?\n\"Answer: -3*o**3 + 2*o**2 + 1038*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -0.33075?\nAnswer: -0.33075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k + 1. Give g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7334, -10164, -12994, -15824, -18654?\nAnswer: -21484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o. Let q(c) = 4*c. Let b be q(1). Suppose 0 = b*v - o*v - 24. Solve -3*y + 4 = -a, v*a - 4*y = a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 2204439?\nAnswer: 2204453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + w + 7. Let y(k) = -12*k**2 + 16*k + 47. Let s(x) = -5*a(x) + y(x). Let t(c) = 2*c**2 - 3*c - 3. Determine 6*s(d) + 22*t(d).\nAnswer: 2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*x**3 + (4 - 6 - 7 + (2 - 1 + 0)*(3 + 2 - 4))*(x**3 + 3*x**3 - 5*x**3).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(602 - 305 - 234*o - 297) to the form b + i*o and give i.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-4) + (17 - 17). Suppose -20 = -5*h, -p - o = 5*h - 62. Calculate the remainder when 68 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 305*s + 4899. Give h(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - z**3 - z - 68 + 26 - 288*z**4 + 20 + 22 to t*z + a*z**4 + k + x*z**3 + u*z**2 and give a.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91934, -367852, -827750, -1471628, -2299486, -3311324, -4507142?\nAnswer: -5886940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -0.3, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, -0.3, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, d: 1, m: 1, p: 2, u: 1}. What is prob of sequence tp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/7)\/(t\/t**9*t))**(2\/43) assuming t is positive.\nAnswer: t**(106\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683 - 366 - 325 + 11*u - 16*u.\nAnswer: -5*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/4 + 18*t**2 + t. Let r(o) = 13967*o**2 - 27931*o**2 - 2*o + 13962*o**2 + 2*o. Determine g(r(d)).\nAnswer: -12*d**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-490.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1764\/8820)\/((-4)\/(-2)*2\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, 49, 222, 475, 814?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2420 (base 6) to base 15.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829 is divided by 1673?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74166912 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 85*u**2 + 67*u + 93. Is j(54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31443 and 423?\nAnswer: 94329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -23649 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 94480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 16. Let x be t(12). Suppose 2*f + f = x*y - 118, -4*f = -2*y + 54. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/7 (b) 0.4 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 99\/231*(-108)\/18\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let z be p(2). Let h be 1\/(-1)*1 + z. Let j = 3 + h. What is the least common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16216 + -15846. What is the greatest common divisor of f and 888?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1378221 and 107\/636102.\nAnswer: 8269326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 14, 15, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10618720 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 410, 537, 664, 791?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:17 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 613206203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**6\/3 - 104*u**5\/5 + 23*u**4 + 200*u**3\/3 + 2017. Find f such that n(f) = 0.\nAnswer: -1, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(500).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.052 - -0.022. Is q bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022221112 - 2?\nAnswer: -12022221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -23, -44, -83, -146, -239?\n\"Answer: -q**3 - 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 + 6*v + 7. Let f be j(-5). Let w = 123\/7 - 114\/7. Which is bigger: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 2*l)*(-3*l - l + 2*l) + (-1 + 1 + 1)*(1 - l - 1)*(-2*l + 4 - 4).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 (base 13) in base 14?\nAnswer: -3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219658 is divided by 117?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)*q*q*q**(-5)\/q)\/(q**(-5)*q\/(q\/(q*q*q**7))))**40 assuming q is positive.\nAnswer: q**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one quarters of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1593 divided by 3\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23408883 divided by -2600987\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**3 - 12*p**2 + 2*p - 10. Let s(v) = -3*v**3 - 13*v**2 + v - 9. Let c(m) = 3*s(m) - 2*z(m). What is the remainder when c(-15) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/4 of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24021004 (base 5) to base 16\nAnswer: 35be1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3582 - -3555. Let z = 0.1 - 0.1. Which is the biggest value? (a) n (b) 5\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 113 + 62 - 128 to s*w + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, u: 4, c: 2, p: 3}. Give prob of sequence ppc.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142*3\/8*168448\/126336.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 6*g - 6. Let i(s) = -14*s**2 - 18*s + 17. Let m(t) = -8*d(t) - 3*i(t). What is the tens digit of m(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 436794 - 0.3.\nAnswer: 436793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 f when three letters picked without replacement from {y: 5, v: 2, f: 9}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2 - 2. Let u(s) = 2*s**2 + 6*s - s**2 - s**2 - s**3. Calculate -6*c(l) + 2*u(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9452 - -94607\/10. Let v = -1980 - 771. Let m = -11063\/4 - v. What is the common denominator of m and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/53708192 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -12 - 5. Let b(i) = i**3 - 5*i**2 - 2. Let g be b(4). What is the remainder when s is divided by g\/4*(-16)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531173900 a multiple of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 4, i: 8}. What is prob of sequence oioo?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 86\/59 (c) 4 (d) 4\/3 (e) -4\/5 (f) -0.3 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30100242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 14) to base 13.\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*q + 10, -27*q + 14 = 5*k - 26*q. Let s(x) be the first derivative of 8 - 1\/8*x**k - 3\/10*x**5 + 0*x + 1\/3*x**3 + 0*x**2. Factor s(m).\nAnswer: -m**2*(m + 1)*(3*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22\/(y\/(y\/y**31)))\/(y\/(y*y\/((y\/(y\/y**(-2\/67)))\/y))*y**(-1\/18)*y))**(-4) assuming y is positive.\nAnswer: y**(19090\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*((n*n**(2\/7))\/n)\/n*n)*n**8*(n**2)**(-33))**14)**(-17) assuming n is positive.\nAnswer: n**14110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 15*g**2 + 15*g - 7. Let o(n) = -2*n - 12. Let a be o(-13). Let r be t(a). Calculate the highest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*l + 82, d - 3*l - 12 = 2*l. Suppose 0 = 21*i - 16*i - 1290. Let y = -104 + i. What is the greatest common factor of d and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -525, -1 in increasing order.\nAnswer: -525, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/(-20) + (-57)\/(-15). Let q(z) = -z**4 - z + 1. Let m(b) = -3*b**4 + 4*b - 28. Let y(t) = c*q(t) + m(t). Differentiate y(u) with respect to u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 7132151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 168879*h - 1519975. Give d(9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 43. Let j = -2\/9 + -5\/18. Which is the closest to j? (a) 2\/11 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Suppose 0 = -3*h + 5*r - 1 + 36, -b*h = 4*r - 36. Suppose -18 = -2*f + h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 19*y**3\/6 - y**2 - 14*y + 82. Calculate s(-6).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = -0*w - 2*w, -4*w - 5*h + 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 113*l**4 + 7*l**3 - 8*l**2 - 128. Let d(t) = -56*t**4 - 3*t**3 + 3*t**2 + 64. Let z(u) = 7*d(u) + 3*v(u). What is the first derivative of z(c) wrt c?\nAnswer: -212*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 2. Let c(u) = u**2 + u - 1. Let g be c(o). Let r = 6 + g. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 14) to base 16.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**7\/70 - 2*p**6\/25 - 3*p**5\/20 - p**4\/10 + 46*p. Factor t(q).\nAnswer: -3*q**2*(q + 1)**2*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9 and 64\/975.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/15 + 4*q**3\/15 + 2*q**2\/5.\nAnswer: -2*q**2*(q - 3)*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:37 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 13) to base 12\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17 - 14) + -19 - (12 - 2)) + (13 - 17)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 361*t**3 + 11701*t**2 - 11339*t.\nAnswer: -t*(t - 29)*(t - 1)*(t + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 2*g, -4*t = 5*g + 4 + 2. Let b = 116 - 122. Sort g, 0, b in increasing order.\nAnswer: b, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/80 + 3*a**4\/8 + 9*a**3\/2 - 2*a**2. Let h(q) = 0. What is q?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/1172286939?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 44. Suppose -7*q = c*q - 45. Sort -5, 3, q.\nAnswer: -5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23121334?\nAnswer: 2, 433, 26699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6873 - 2117 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 142\/708 - 1\/6. Suppose -4*r - 7 = n, -3*r - 3*n - 3 = 9. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6060365695 to the nearest integer?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.109 - -0.191. Let f = 31 + -31. Which is the closest to 2? (a) l (b) -0.5 (c) 2\/19 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 643*n - 1911. Determine y(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 116*r**3 + 15*r - 17*r**3 - 22*r**3 - 1.\nAnswer: -155*r**3 + 27*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469905.\nAnswer: 3, 5, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839471?\nAnswer: 839471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207.305 + -1.095. Let t = 164 + x. Let q = t + 41. What is q rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 1 + 0 + 1.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671413317?\nAnswer: 7, 8287, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i + i**2 + 4*i**5 + 0*i + 2*i wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 17*r**2 - 18*r + 19. Suppose 3*t = -f + 58, 2*t - 52 = 3*f - 7*f. Does 19 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -3\/8 (c) -3\/104 (d) -0.2 (e) -0.4 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i = -168*i + 33728. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 78, 77, 76, 75?\n\"Answer: -q + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13014 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let f(y) = 199120481*y. Give i(f(p)).\nAnswer: 118946897861014083*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4*r - 19.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6084 and -0.2?\nAnswer: 1216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -648\/7 - 2\/7*q**2 - 72\/7*q = 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3240115 + 4882686. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1880 and 4601065.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 + 1.8. What is the closest to 2\/15 in 0.1, -4, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -2.04. Let k = 375.6 - 375.88. Is k less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-128 + 4*d + 128)*(0*d - d + 0*d)*(4*d - 6*d + 3*d)*(2*d - d + 3*d) as g*d + l*d**4 + k*d**3 + u + t*d**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -1\/17*j**3 - 6*j**2 + 0*j**6 + 0 + 2\/51*j**4 + 1\/1785*j**7 - 1\/85*j**5 + 0*j. Factor z(g).\nAnswer: 2*(g - 1)**3*(g + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 127*k**3 + 2*k**2 + k - 2. Let l(y) = y**2 - 15*y + 42. Let f be l(12). Let q be (f\/9)\/((-2)\/(-3)). What are the prime factors of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -12.80629511048.\nAnswer: -12.30629511048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5.1612521, 2 in descending order.\nAnswer: 2, -5, -5.1612521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from tee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.051 and -0.7.\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3496012646 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 48\/17, 0.4, -2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584366 is divided by 1974.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 777323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34690900 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-4))\/(13\/26). Let p = o - -19. Let j = p - -80. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 4*d + 11. Let o be w(-5). Let h = o + 84. Suppose h*l = 8*l + 525. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -6.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7405716, -14811431, -22217146, -29622861, -37028576, -44434291?\nAnswer: -51840006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.02222 to 3 dps.\nAnswer: 2.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/6*(-4)\/(-6). Let g = -4 + p. What is the third derivative of 0*z**2 + 3*z**2 - 2*z**3 - z**g wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1110\/333*12\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/3)\/48*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -3*j**4\/4 + 121*j**3\/3 - 39*j**2 + 2. Let q be z(13). Solve 4*c - q = -3*y, -3 - 1 = 4*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -299, -682, -1207, -1868, -2659, -3574, -4607?\n\"Answer: p**3 - 80*p**2 - 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8894 is divided by 635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-26) - 596130\/13. Let m be n\/(-12)*(-9)\/(-12). Is m - ((1 - -5) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/((-21)\/2))\/(6\/(-42)). Solve -3*a = -2*y + 3*y + 5, 0 = g*y - 2*a - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.02 + 4.92. Which is the nearest to -0.2? (a) q (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -0.4 (c) 0 (d) 1\/2 (e) 0.444\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-525)\/(-14))*((-1098)\/21)\/(292\/(-511))?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f + 8. Let v(g) = -5*g + 4. Let b(n) = 2*c(n) - 5*v(n). Let m be b(3). What is the derivative of 9 + 6*p**2 - 4*p**2 + m*p**2 - 4*p**2 wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4910.9 - 4911. What is the closest to 1\/11 in h, 2\/7, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.2, -2, 4\/3 in ascending order.\nAnswer: -16, -2, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let x(g) = g + 246. Let b = 18 + -13. Let w(p) = b*u(p) + x(p). Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:01 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 3*u**3 - 2 + 2*u**4 - 5*u**3 - 3*u**2 + u**2 to p*u + j*u**2 + h + x*u**3 + c*u**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10585 not equal to -10585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 - 7*y**5\/60 + 7*y**4\/24 + y**3\/2 - y**2. Give v(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/12 + 21\/(-6). Let w be -5 - n - -1 - -3. Find v such that 0 - v**w - v**2 - 1\/3*v - 1\/3*v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**5\/5 + 6*s + 7. Differentiate h(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w**2 - 11*w - 9. Let g(s) be the third derivative of s**5\/30 + s**4\/24 + s**3\/3 - 108*s**2. Let i(q) = 6*g(q) + y(q). Calculate i(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:43 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/6)\/(-2 - 36\/(-27)). What is the third derivative of -2*l**2 - 7 + 5*l**3 - l**3 - 5*l**4 - 2 + 27*l**t wrt l?\nAnswer: 528*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948 divided by 1.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 minus 2752590735?\nAnswer: -2752590735.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1585 + 5?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -69. Solve -f*t = -3*k - 14, 5 = -4*k + 5*t - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/7 and 4\/294*729\/(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 25*q**2 + 115*q + 68. Is m(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = c + 3*c. Let r be (-111)\/12 + 6\/(-8). Let l = r + 66. What is the remainder when l is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005487 divided by -4?\nAnswer: -5005487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 15, -4, -2 in increasing order.\nAnswer: -4, -2, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0573 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 - 212*n**3 + 804*n**2 - 988*n + 392 = 0.\nAnswer: 1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-14) + 52\/(-112))*-96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1473 > 548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 14. Let d be v(-9). Let s = d + -37. Let b be (-4)\/3*(s - 7). Solve -i - b*i = 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:37 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 2*b + 6 + b - 8*b + 2*b**2. List the prime factors of i(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10071557, -10071553, -10071547, -10071539, -10071529, -10071517, -10071503?\nAnswer: -10071487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419632 is divided by 305?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -127094000 to the nearest 100000.\nAnswer: -127100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 7502.\nAnswer: 1\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 1195. Let c(j) be the first derivative of j**2\/2 + 2233. What is c(n(x))?\nAnswer: -2*x + 1195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -775bbb (base 12) to base 6\nAnswer: -104355555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3532159 millimeters?\nAnswer: 0.03532159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-1368) - (-3765)\/(-14535)\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 1673?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1193, 1216, 1239, 1262?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = 0, -4*a - 3*z - 31 = -8. Sort 1, a, -0.4, 5 in decreasing order.\nAnswer: 5, 1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 21240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s = -41*s - 207205. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -301607, -302048, -302489?\n\"Answer: -441*q - 301166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 24 = 2*h, w + h = -3*w + 21. What is the smallest common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 1.06. Let x = 1 + q. Which is the nearest to x? (a) -2\/3 (b) 1\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 5026 in ascending order.\nAnswer: 2, 15, 5026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 36. Let c = 4 + -2. Solve 3*b + c*z + 2*z = -a, -3*z - 15 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71682067.\nAnswer: 71682067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-238))\/((-24)\/(-14))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 54*b**2 - 2*b + 3. Let n be o(1). Suppose 15*k + k - 912 = 0. Let j = k - n. Solve -j*w = w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 77*u - 26. Let x(h) be the third derivative of -193*h**4\/12 + 65*h**3\/3 - 12*h**2. Let n(b) = 11*v(b) + 2*x(b). Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1309*x**2 - 1272*x**2 + 7 - 7. Let k(w) = -w**2. What is i(k(q))?\nAnswer: 37*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.054785 take away -623.3?\nAnswer: 622.245215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59736.8mm in micrometers?\nAnswer: 59736800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g**6 + 0*g**2 + 0*g**4 - 8\/3*g**3 + 13\/7*g**7 + 0*g**5 + 0*g + 15. Find the third derivative of h(k) wrt k.\nAnswer: 1560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a01 (base 13) to base 9.\nAnswer: -8311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -128168686.5 to the nearest 10000.\nAnswer: -128170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*t, 3 + 4 = 5*a - t. Let k be 4\/4 + 12 - a. Suppose -3*j**4 + 9*j - 16*j - 39*j**2 - k + 43*j + 18*j**3 = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 166138\/5 (b) -4 (c) -3 (d) 4 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {r: 3, s: 3, g: 5, p: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 22*w + 120. Give r(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 7*c**4\/12 - 7*c**3\/6 + 1531*c**2. Give f(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let t(r) = r. Let j(l) = 6*a(l) + 4*t(l). Let k(v) be the second derivative of -3*v**3\/2 + 10*v. Calculate k(j(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4244612 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.67, 1, -10, -0.12, -0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2*v**2 + 3*v**2 + v**2 - 27 + 6*v. What is the units digit of b(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -2. Let l be b\/4*(-57 - -1). Is (-1)\/(2 + 86\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -q - 5*k, -2*q = 3*k - 8*k + 10. Let b be (-6 - -3 - -5)*3. Suppose -r = -2*c + r - b, 3*r = -3*c + 21. Put q, c, 9, 1 in increasing order.\nAnswer: 1, c, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 358?\nAnswer: 357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 10. Let u be r(3). Let o = u - -18. Solve -3*t - 10 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 15*o**2 + 33*o + 1. Calculate s(11).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -5953.\nAnswer: 142\/5953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.05 - 3.0661. Round l to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose 2*m + 2*s = 0, f = -m + 4*s + 32 - 7. Solve b - m = -0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70 - (-20 - (44 + -20))) + 29\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10222 - 3?\nAnswer: 10216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 7*(3 + 38\/(-14)). Let o(v) be the second derivative of -2*v**3 - v**2\/2 + v. What is the units digit of o(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 7. Determine d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.2, -650700, 34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 300.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + o - 5)*(-74 - 89 - 2).\nAnswer: -165*o - 165","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 4 = -8*m - 3*r, -4*m + r - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 306179\/20 - 15313. Find the common denominator of 319\/(-60) - 3\/9 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 43. Let d = 35 - c. Let k = -32 + 46. Calculate the smallest common multiple of k and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13912, -55646, -125216, -222622, -347864?\n\"Answer: -13918*i**2 + 20*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -41, -75, -109, -143, -177?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1836 - -2059.8. Let w = -166.77 + c. Let q = 2.53 - w. Round q to the nearest integer.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*o - 60*o + 1017552. Does 68 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 - (-35 + 48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 3 + 2 + 490*r**2.\nAnswer: 490*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1593290 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57d (base 15) to base 5\nAnswer: -14433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 + -5?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/272)\/(567\/23688*47)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -439584 in ascending order.\nAnswer: -439584, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 7*p - 2. Suppose 0 = 4*c - 5*t - 24, 5*c + t - 12 = 18. Give b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) + -1)*5)**2 + -1 + sqrt(72) - (sqrt(84)\/sqrt(6)*6)\/(sqrt(847) - (sqrt(847) - sqrt(847)*-1)).\nAnswer: -6528*sqrt(2)\/11 + 7224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1965950, -3931893, -5897834, -7863773, -9829710, -11795645, -13761578?\nAnswer: -15727509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -91*a - 896. What is c(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-2 + (-3 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 e when four letters picked without replacement from {e: 5, b: 10, a: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*l - 2*h - 32, -45 = -3*l + 3*h. Suppose -4*f + 28 = 4*a, -4*f + 3 - 5 = -a. Calculate the remainder when (-2)\/a + 471\/9 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 14) to base 13\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let o be (-14)\/49 - (-17)\/35. Let x = 0.8 - 1. Put x, n, o in descending order.\nAnswer: n, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 418\/13. Let u = 73\/52 + i. What is the closest to 0 in -3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2368*g**2 - 112*g - 112. Let z(k) = 64*k**2 - 3*k - 3. Calculate 6*d(o) - 224*z(o).\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(8\/15) - 3890\/(-260)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 - 12*h - 34. Let j be n(-8). Which is greater: j or -62\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3159.40233 to the nearest ten.\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625 - -634. Suppose 71*i + o = 74*i. Let n be (2\/(-6))\/(2\/(-24)). Put i, -9, n, 5 in decreasing order.\nAnswer: 5, n, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-72) + (-14)\/180 - 362*39\/(-260).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 63384*u - 63379*u + 60, 5*u + 60 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + 1 - (-151 - (-17 - -8)). Is 59 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10394859 = -274*k - 921035. List the prime factors of k.\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50909 - 101823 + 50914 + 15636*u**2 in the form c + b*u**2 + k*u and give b.\nAnswer: 15636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 66289*y**3 - 5*y**2 - 29*y**4 - 79*y**4 - 2 - 3*y - 66289*y**3 in the form f*y**3 + b*y**4 + l*y**2 + x + s*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/2*(-10)\/25. Suppose -4*u - n = -6*u. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.0151 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (2 + -1 - -171) - 1. Suppose -8*l + 6*l = -k. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070391593 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75594.\nAnswer: 2, 3, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 - 594*a**3 - 88209*a**2 = 0. Calculate a.\nAnswer: -297, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -30*y + 18. Let m be s(-6). Suppose 3*i + 3*i = m. Let n = i + -29. Solve 0 = -2*k + n*t + 4, -4*k - t + 6 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 19 - 5330\/369.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -y - 320, 192 = u + 2*u - 2*y. Let p = u + 8. 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: What is 5.3362128 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79413\/32560 + -3\/2035. Calculate the common denominator of 87\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -267, 1.34 in descending order.\nAnswer: 1.34, 1\/5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 13, 1 in ascending order.\nAnswer: -26, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 34*o + 132. What is h(35)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.19 + 4.18967. Let b = 9 + h. Round b to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsopoppioppppiooo. What is prob of picking 2 o?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29355512 is divided by 4501.\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 5257098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:44 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2\/13*a**3 + 0 + 4\/13*a**2 - 6\/13*a = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((o + o - o)*(o**2 + 1 - 1) - 2 - 2*o**3 + 2 + 4 + 3*o**3 - 4).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305312 is divided by 76327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 10. Let p be 8\/4 + 1 - -5. Suppose -4*j = -4 - p. Solve j + b = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 931424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 5*w = 28*a + 6, -w = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/20 - 11*h**3\/3 - 364*h**2\/5 + 784*h\/5 + 343. Determine w so that y(w) = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -20000210100012?\nAnswer: -20000210100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 699 * 4239.\nAnswer: 2963061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 35955*w**2 + 25*w = 0. Calculate w.\nAnswer: -5\/7191, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-3) + -3 + 1. Suppose 2*j + a - 2 = m, a = 3*j - 4*a + 23. Let u be 14 + (j - (-1 - 2)). Calculate the highest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 11303662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 4*h + 5. Let z(d) be the second derivative of -d**3\/6 + 2*d. Let b(j) = m(j) + 4*z(j). What is the first derivative of b(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -93. What are the prime factors of (-13617)\/w + 1\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 3*c**3 + 2*c**3)*(-7*c**2 + 0*c**2 + 4*c**2).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -460214200 to the nearest 100000.\nAnswer: -460200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 6. What is the units digit of (-1)\/n - (-50)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*j - 10 = 5*u + 1077*j, -4*u - 8 = 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(90\/27)\/(-1 + 2). Let g(c) = c**3 - 5*c**2 + 6*c - 11. Determine g(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 345 - 1475 = 0. Find the common denominator of (-6)\/(-39) + (-2150)\/k and 50\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2*(-3)\/48*6). Suppose k*t + 60 - 40 = 0. Let w(s) = s + 2. Calculate w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 + 40*w - 76. Let h be t(2). Solve x = 5*p - 0*p - 5, 20 = 4*p - h*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p + 9. What is s(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14083836 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61624 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 369351*z = 0 for z.\nAnswer: -123117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -1075, -2449, -4445, -7105, -10471, -14585, -19489?\nAnswer: -25225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/3 + 8*y**2. Determine q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-17)\/(b\/((b**(-2\/17)*b)\/b*b)*b*b*b) assuming b is positive.\nAnswer: b**(-342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/38 or 3\/360703?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -32, -5 in descending order.\nAnswer: 18, 3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -19. Calculate the least common multiple of o and -4 + 5\/((-20)\/(-16)) + 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 5017\/21. Let g be ((-16)\/56)\/(18\/(-14)). Suppose 4*n + 0*m = -5*m + 18, 0 = 4*m - 8. Which is the nearest to g? (a) -0.5 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*a = -82*a - 128*a - 109*a + 1610 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*t - 7 + 35 - 50*t + 31*t to the form q*t + w and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*u**2 - 583*u**2 - 704*u**2 + 1872*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = 62. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308 + 308 + 110*j - 7*j.\nAnswer: 103*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -337249.\nAnswer: -101174.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 19\/118551?\nAnswer: 19\/118551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*i - 5*i - 754, -3*i - 2*h + 2296 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -2886\/355 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 72*d - 14*d - 20*d - 21*d + 41 - 22*d. Determine n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926132115.\nAnswer: 5, 101, 3814123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2120 - -2132) + (1 - 0) + 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 13, 32, 79, 166, 305?\n\"Answer: 2*n**3 - 4*n**2 + n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -58*o - 22 + 65. Solve 4*s + 9 = h, 72*h + 23 = 67*h + o*s for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 586*f**3*q**3 - 211*f**3*q**2 - 1260*f**2*q**2 - 2*f*i**2*q - i**3*q**3 - 2*i**3*q + 2779*i*q**3 wrt q?\nAnswer: 3516*f**3 - 6*i**3 + 16674*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-2) + (-1260)\/105. Solve 5*j - m*p + 13 = 31, 4*j = -2*p + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (3 - 1 - -2). Suppose 20 = 5*o - c. Let u = -3 + o. Solve -u*f - 9 = -2*n + 5*n, 5*n + 3*f + 16 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 11887384?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(26\/7))\/l*l\/(l\/(l**(-13)\/l)) assuming l is positive.\nAnswer: l**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -4 in decreasing order.\nAnswer: 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2419295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3184 and 7761?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53553 and -7.\nAnswer: -374871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*k - 40. Let d(v) = -161*v - 88. Is d(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 46*x**2 - 2664*x - 113349. Give i(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 7*n**3\/3 - 53*n**2\/2 + 12*n. What is the units digit of j(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2773*q = -2587*q + 7626 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1c944a (base 15) to base 6\nAnswer: -45545124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 2*m)*(2*m**2 - 5*m**2 + m**2) + m**3 - 2*m**3 - m**3 + (40*m + 1123 - 1123)*(-m**2 - m**2 + 9*m**2).\nAnswer: 276*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-20)\/(-305))*-3. Let y = 208 + x. Solve 0 = -2*i - 3*i + y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b - b + 2*b + 2*b - b**4 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006137 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 3*n**2 + 2*n**2 + (-2*n - 2 + 2)*(2913*n + 1718*n - 1043*n) to the form b*n + w + m*n**2 and give m.\nAnswer: -7177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63588, 63646, 63704, 63762, 63820?\n\"Answer: 58*a + 63530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfcgccpggcgpggpggcc. What is prob of picking 3 g?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -25. Suppose -20*o + 8*o = -c. Let h(t) = o + 2*t**2 - 7*t + t - t**2. Give h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(384)*-2 - (sqrt(6) - sqrt(600)*6))\/(sqrt(21)\/sqrt(7)*3 - (sqrt(3) + sqrt(768))).\nAnswer: -38*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 90601\/3 - 100*j**2 - 1\/6*j**3 - 29799\/2*j = 0. What is j?\nAnswer: -301, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*78610755.\nAnswer: 235832265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20.5 (b) 13 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 306 + -266. Suppose -3 = 3*z - 4*z. Suppose -z*q + i = 2*q. Sort 3, q, -4 in decreasing order.\nAnswer: q, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.75 + -15.05. Which is the nearest to -33? (a) -4 (b) 2\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {w: 7, k: 2, h: 2, b: 1}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2149240 and 644772?\nAnswer: 6447720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u**2 + 35*u**2 - 36*u**2 - 29*u**2 - u.\nAnswer: -86*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.509 rounded to two decimal places?\nAnswer: -3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 10194725685\nAnswer: 10194725685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 20*g**2 - g + 21. Let a be q(20). What is the third smallest value in a, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*b - 12, 2*b + 3*b + 29 = -2*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*a**3*s + 615*a**3*w - 405*a**3 - a*s**2*w - 239*a*s**2 + 7975*w wrt w?\nAnswer: 615*a**3 - a*s**2 + 7975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2108, 4210, 6310, 8408, 10504?\nAnswer: 12598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1899 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 107\/15 - (0 + -2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 24345977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15119561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvhkhhvhvvbhhhvvv. Give prob of sequence hh.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -77*a**3 - 5*a**2 - 3*a + 3. Give h(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5 = -21*f + 18*f + 40, -3*o + 45 = 3*f - 3 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 0*m - 15*m + 6*m.\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.78? (a) -5 (b) 0.1 (c) 22074 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n + 44*n = 2*w + 10, -2*n = 6*w - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.57699 to 2 decimal places.\nAnswer: 35.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18041673?\nAnswer: 3, 13, 462607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, c: 2}. What is prob of sequence cjj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469713881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366438224 to the power of 1\/2, to the nearest integer?\nAnswer: 66079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + -2 - -56). Let m = -18 - -7. Let d = m + t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2)\/(0 - 1). Let v = d - 1. Solve 3*c - 1 = v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + ((sqrt(405) - (-4 + 1*sqrt(405))) + sqrt(405)*-1 + 3)*-5 + 5)**2 + 4.\nAnswer: -2250*sqrt(5) + 10754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 plus -593?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 162 = -u. Let q be (24\/u)\/(4\/18). Let w = 6 + q. Is 9 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167050371*f**4 - 58*f - 1568937?\nAnswer: -2004604452*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 8*g - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 94 = 70. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 15 - (-4 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-119)\/(-34))\/(7\/4). Suppose -q - 5 = -x*q, -k + 4 = -4*q. Calculate the least common multiple of 102 and k.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 5)*(-3*h + 0*h + h)*(-2 - 3 + 1) to f + y*h and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (160\/275)\/(336\/(-80)) and -159\/770?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275248, -551046, -826844, -1102642, -1378440?\nAnswer: -1654238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508982 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1. Let u(w) = -1 + 5 + 0 - 2 + 3*w. Let r(v) = -2*p(v) - u(v). Let c(t) = 16*t**2. Give c(r(b)).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/949, 3\/5 in ascending order.\nAnswer: -0.5, 4\/949, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -30*h**2. Let l(i) = 230*i**2 - 148*i**2 - 110*i**2. What is u(l(j))?\nAnswer: -23520*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 26, 3\/10, 1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 48 + -22 + 7\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/9 - 428*b**4\/9 + 2850*b**3 - 290024*b**2\/9 + 504800*b\/9 - 80000\/3 = 0?\nAnswer: 1, 12, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 104*n - 123. Let l be g(10). Let q = -17419\/19 + l. Factor -2\/19*r**2 + 2\/19*r**3 + 0 - q*r.\nAnswer: 2*r*(r - 2)*(r + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-9) - 4*-760. Let r = z + -2087. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-2288)*-8*(-12)\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471 divided by -3?\nAnswer: 1471\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 16*a**2 + 152*a - 2493. Determine h(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2074 and 121\/1190.\nAnswer: 72590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(0 + 0 - 3*z)*(-z**2 - 7*z**2 - 6*z**2).\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87883*c**3*g**3 + 2*c**2 + 3962*g**3 wrt c?\nAnswer: 527298*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517963272 less than -0.21?\nAnswer: -517963272.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 bigger than 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 1, w: 3, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 6, -2 in descending order.\nAnswer: 172, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-27) - (-42441)\/(-9)*(-1)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(156) + 1*sqrt(156) - sqrt(156))*2 + -2*2*sqrt(156)))\/((sqrt(588) - sqrt(588)*2) + sqrt(144)\/(sqrt(12)*2)).\nAnswer: 4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -2\/425 (c) 3 (d) 4 (e) -569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 13 + 118 = 5*o, 0 = 2*f + 5*o - 57. What is the smallest common multiple of f and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739795478.\nAnswer: 2, 3, 289965913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - -1 - (-45 - -43). Solve -10*h = -r*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-15)*(k\/(k*k*k*k**(2\/7)))**32)**(1\/28) assuming k is positive.\nAnswer: k**(-128\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -149*i + 81. Let l be a(5). Let p = -648 - l. Calculate the greatest common divisor of 328 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 49. Solve -5*q - 14 = -w, j = 4*w + w + 4*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:34 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 82, 156, 260, 394?\n\"Answer: 15*h**2 - h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 24. Find the second derivative of 3*t + 2 - 2 + g*t**2 - 8*t**2 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taq when three letters picked without replacement from {t: 2, q: 2, a: 3, f: 4, h: 1, c: 6}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-4*2.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c)\/c**(4\/7)*c\/c**(-3\/22)*c\/c**21 assuming c is positive.\nAnswer: c**(-2069\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 98*r**3 - 2072*r**2 - 1830*r - 396 = 0.\nAnswer: -3\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 0. Suppose y*c + 2 = -2*c. Is 4 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = i - 19. Let t(b) = 22*b + 816. Let v be t(-37). Suppose v*g + i + 52 = -4*q, -33 = g + 4*q. Are -46 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218343, -218517, -218687, -218853?\nAnswer: -219015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/6*477\/742)\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343260695?\nAnswer: 5, 229, 349, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t**2 - 3*t)*(2*t**2 - 2*t**2 - 2*t**2)*(-3 + 3 + 5*t).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13200 - 13208 + 26408 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6148 divided by 2?\nAnswer: -3074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -10. Let z = n + 0. Calculate the highest common factor of 72 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = 2*c, 2*c - 7*c - 14 = -2*f. Let t(w) = -w**2 + 11*w + 42. Let a be t(-3). Sort a, -1, f in increasing order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-3)*6\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -15*l + 13*l - 18, l - 3 = -2*z. Solve -z*r + 5*x = 10, 7 = 4*x - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - v = 10, -4*t + 0*t + 3*v - 3 = 0. Let w(o) = -o**2 - 4*o - 5. Let l(u) = -3*u - 4. Determine t*w(p) - 4*l(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2996 - 1311. What are the prime factors of g?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 + -0.2. What is the closest to 2\/5 in k, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0.7, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -14*y + 8*y. Calculate the greatest common divisor of 1956 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by 2?\nAnswer: -195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 313*g\/2 - 54184.\nAnswer: (g - 521)*(g + 208)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 18 = t, t = 3*m - 7 - 3. Suppose -11 = -2*q + m*a + 21, 0 = -5*q + 5*a + 90. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-115233)\/(-54186) + -1). Let g = -8\/821 + r. Let c = 8880 - 88727\/10. Find the common denominator of c and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 + -17.51. Let r = q + 17.84. Let o = 0.15999931 + r. Round o to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 200*a**2. Let h(b) = -246*b. Give h(u(p)).\nAnswer: -49200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 4. Let y be c(2). Suppose 0 = 2*o + 3*o - 50. Suppose 5*q - 220 = -6*j + j, o = y*j. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = -2*h. Let q = 9 - 6. Find the third derivative of -4 + 4 - 5*p**2 + 0*p**q - h*p**3 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9788 greater than 29368\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ce (base 16) to base 4.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -12 in increasing order.\nAnswer: -12, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21170, 42255, 63342, 84431, 105522?\n\"Answer: j**2 + 21082*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 19*o - 5*h - 25, -5*h - 25 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 9, -5*a = q + 116 - 11. Is q at most as big as -444\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -10, -2.\nAnswer: -13, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 5*z + 6*z + 3*z. Let y(u) = 64*u. What is y(i(g))?\nAnswer: 128*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 192*h + 1790. What is i(-9)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**4)\/v)\/v)\/v)\/(v*((v\/(v*v*(v**(4\/11)*v*v)\/v))\/v*v)\/v)*(v**(-10\/17)*v)\/v**(-1\/17) assuming v is positive.\nAnswer: v**(904\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 5*s + 3*s)*(-3*s - 4*s + 1 - 15*s) as t*s + z + x*s**2 and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -437*k**3 - 445*k wrt k?\nAnswer: -2622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68869 times 170?\nAnswer: 11707730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4568*i + 4560*i + 27 = 0, 0 = 3*l - 5*i - 26 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5710 and -64\/905.\nAnswer: 1033510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 224*f**2 + 162*f + 128\/9*f**3 = 0. What is f?\nAnswer: 3\/8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/2 - -12)\/((-2)\/(-4)). Solve 41*k = t*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*x = -45, 3*x - x - 69 = -5*g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7005 - 2245. What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 235 + -1472?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 - 3*m**5\/20 - m**4\/3 + 3*m**3\/2 + 108*m**2. Determine n(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 19. Let b = 8 + -7.6. What is the smallest value in -2\/5, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3 = -3*g + 16, 3*v = g + 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100996 divided by -1?\nAnswer: 100996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 4*v**3 + 6*v**2 - 144*v**4 + 259*v**4 - 110*v**4 as x + k*v + f*v**2 + m*v**4 + w*v**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -6, -12, -41, -1, 0 in ascending order.\nAnswer: -41, -12, -6, -1, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -1\/120*m**6 - 2*m**2 + 0*m**4 + m**3 + 0*m + 0 + 1\/60*m**5. What is the units digit of u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-27 - 3328\/(-130) - (-84)\/(-90))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36400, 78580, 120770, 162976, 205204, 247460, 289750, 332080?\n\"Answer: b**3 - b**2 + 42176*b - 5776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/8055 + 15749\/2907855. Which is smaller: 1.8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*v**3*w**2 + 81*i*v**2*w**2 + 9*v**3*w + v*w**2 wrt i?\nAnswer: -v**3*w**2 + 81*v**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 27 - 135*x + 34 as f*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 88*h**2 - 560*h + 2. Give b(6).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 541641.7 years in decades?\nAnswer: 54164.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from {m: 2, h: 5, l: 8, s: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3 - (-5717042)\/366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**6\/18 - g**5\/3 - 7*g**4\/12 + g**3\/9 + 4*g**2\/3 + 4*g\/3 - 7. Suppose v(j) = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1377) + 2.\nAnswer: -27*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2195 + -2205. Round y to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15882 - -15885. Factor 0*s**u + 2*s - 7\/3*s**2 + 1\/3*s**4 + 0.\nAnswer: s*(s - 2)*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16227 and 1803.\nAnswer: 16227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l + 5*l**2 - 19 - 9*l**2 + 3*l**3 - 4*l**3 + 16*l**2. Let u be b(11). Let v(y) = 3*y**3 + 4*y**2 - 6*y + 6. What is the units digit of v(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + s + 16, r - 2 = s. Suppose 0 = -g + 3*i - 9, -5*g = -4*g - 4*i + 13. Suppose r*u = g*u + 36. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w. Let y(j) be the second derivative of j**6\/360 - j**4\/4 + 2*j. Let c(o) be the third derivative of y(o). Calculate c(q(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -12, -8, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 10. Let c(d) = -3*d + 7. Suppose -n = y + 1, 13*y - 3*n + 11 = 9*y. Let g be (70\/30)\/(y\/6). Give g*c(a) - 5*t(a).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3417504 divided by -1139168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 - 2*d + 4. Let x(h) be the second derivative of 1\/6*h**4 + 2*h + 0*h**2 + 0*h**3 + 0. Determine x(k(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -312, 1, -2, 395 in ascending order.\nAnswer: -312, -2, 1, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-4)*(-152)\/(-418). Let r(y) = -6*y + 9*y - 31*y**2 + 57*y. Let w(d) = 6*d**2 - 12*d. Let n(c) = k*r(c) + 11*w(c). Factor n(j).\nAnswer: 4*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**19*n*n)\/n**(-2\/7)*((n\/((n\/(n\/n**(-23)*n))\/n))\/n)\/n*n*n**(1\/34))**(4\/21) assuming n is positive.\nAnswer: n**(22046\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 6)\/(-4)*(-3)\/3. Suppose 3*s = -5*y + 13, 5*s - y + 30 = 5. Which is the closest to 2\/5? (a) -1 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 432, 1411, 3312, 6441, 11104, 17607, 26256?\nAnswer: 37357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 49 = h, -12 = -3*h + n + 9. Solve 0 = -2*d + 2*q + 10, -2*q - 14 = -h*d - 4*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50118 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/63*(-18)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22347 - -290678\/13. Let n = v + -13. What is the closest to -1\/4 in 5, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.740512 - -1960?\nAnswer: 1948.259488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 1, c: 3, y: 10}. Give prob of sequence cycc.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Let v = -1 + y. Let f be ((-4)\/6)\/((-1)\/3). Solve -5*a + 15 = -5*o, -a + v = -2*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 47*m - 22. Let r be d(-2). Let n = r + 121. Suppose 1189 = n*j + 219. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (22 + (-27 + 17 - -3))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 192*t - 1532. Give i(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 62.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50681?\nAnswer: 59, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, 0, -116 in descending order.\nAnswer: 3, 1, 0, -1, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 5 - 8 + 11*z)*(-2 + 1 + 0) to the form f + s*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -139. Suppose 2*c + 2*c = 24. Let a(h) = -h**2 + 7*h - 5. Let f(x) = x**2 - 8*x + 6. Calculate c*a(r) + k*f(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 5171\/329?\nAnswer: 5171\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -w + 5 - 0, 0 = w - 4*s - 25. What is the units digit of -2 + w + -4 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2641 - 2631.4. Which is the biggest value? (a) 0.4 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*g - 164056 = 155432. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 33. Let k = -13 - q. Suppose 15 - 17 = x. Put k, 2\/5, x in descending order.\nAnswer: k, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*i = -15, -25 = 4*i - 9*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31402774*b**4*l**3*n - 2*b**4*l**3 + 536*b**2*l**3*n + 1658*b*l**3*n + 4*b*l**3 wrt b.\nAnswer: 753666576*b*l**3*n - 48*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147821 rounded to the nearest 10000?\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-13)*(-455)\/70. What is the third derivative of 157*s**2 + 2*s**3 - 243*s**t + 3 - 3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 + 9)*-1)\/(-2). Let v be (5 + -4)*l\/1. Suppose 0 = -u - 4*j - 0 + 9, -u + 11 = v*j. Calculate the greatest common divisor of u and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/855 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 3. Let u(w) = 10221*w**2 + 12. What is u(y) - 4*x(y)?\nAnswer: 10213*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) + sqrt(190)*1 + sqrt(190))*2)\/(1*sqrt(10)*-3 - sqrt(10)).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p + 4*s - 20, -6 = -3*s. Let b be p*5\/(-3) - 4. Let m = b + 15. Let r(a) = -2*a + 6. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.06+-2919514\nAnswer: -2919496.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1640541 divided by 234363\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51503455 and 2.\nAnswer: 103006910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16504366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21318264 a multiple of 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (2 + (2 + sqrt(176) + -1)*2)*-3 + -2)*4)**2.\nAnswer: 7680*sqrt(11) + 102976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 617951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + b**2 + 5186*b**4 + 25*b**3 - 5195*b**4)*(-1 + 2 + 0)*(4 - 1 - 1).\nAnswer: -18*b**4 + 50*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 7*f + 15. Suppose -h + 5 - 8 = 0. Let n(w) = w**2 + w + 4. Let j be n(h). What is the tens digit of p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 2*k - 4*k + 2*k**2 + 4 + 3*k. What is the units digit of h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - -1.15. Let q = 0.8 - v. Which is the third smallest value? (a) -0.3 (b) 12 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-10)\/5))\/2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -780 + 396. Let s = -151 - x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((3 - 3) + 1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9794 and 4008734?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41787 times -0.5?\nAnswer: 20893.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 15*x - 857, 0 = v + 4*x - 375450 + 375496 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13308 and 20?\nAnswer: 66540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 110, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226.897 + 227. Let x = q - 0.108. Round x to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*7\/7. Find the second derivative of 29 + 6*k**3 - 4*k**3 - 4*k**3 - 9*k**n + 7 - 2*k wrt k.\nAnswer: -12*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 185 - 1060 = 3*j, 1671 = -4*j - 3*m. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(1539))**2 + 0 - (sqrt(1539)*3 + -3)) + ((-4*(0 + sqrt(1539)) - 1*sqrt(1539)*-2)*2)**2)*-2.\nAnswer: -76956 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-2)\/2)\/(-2 - -5). Suppose d = -x - 5*h + 124, 3*h = -2*x + 2*h + 239. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 + 2*s + 200. Let u be k(0). Suppose 129*h = 124*h + u. 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: Solve -3*r - 12 = 0, -2*t + 8*r = 14*r + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/40 and -73\/195.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**25)\/a)\/a**(18\/11)*(a**(3\/8))**(-2\/103) assuming a is positive.\nAnswer: a**(105851\/4532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2238 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1510235 (base 6) to base 7.\nAnswer: -511301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/57990204 and -121\/143388.\nAnswer: 405931428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**5\/25 + 3*i**4\/20 - 3*i**3\/5 - 27*i**2\/10 + 1105. Factor a(p).\nAnswer: p*(p - 3)*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 4)*-1 + -1. Solve 0 = 5*i - m - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q - 1. Let w = 6 + -5. Let a be h(w). Are -2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 36. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 372\/18*-21. Let v = 440 + j. Solve -4*o - 5*m = -16, 7*m = 5*o + v*m - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 161664, 161660, 161656, 161652?\n\"Answer: -4*s + 161668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 20. Let j be q(-19). Calculate the greatest common factor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**29\/(((p\/(p\/(p*p**0\/p)))\/p)\/p)**(-7))**(-45) assuming p is positive.\nAnswer: p**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.2, 7, 3, 0.04, -44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from utthptusttyuttty?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88, -87, -86, -85, -84?\n\"Answer: f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -473899.1 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/30 and 42\/(-99) + (-5)\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5 = -f, 107*y = 4*f + 103*y - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 1. Let i = 9 - 1. What is the remainder when y(-3) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 17 = 3*x - 23, l - x = -2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 0 (d) 2\/3 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*1 + 3\/(-1). Let w(y) = -1 + f*y - y - 2. Is 8 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 17 - 1 = 0. Let v = 34 - j. Suppose -4*i + 30 = 3*z - 3*i, -2*z - 2*i + v = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 75. Let f be (12\/c)\/(3*(-14)\/(-105)). Solve -16 = 4*x - 4*q, 2 = f*q - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.98273 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294 is divided by 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(468) + 4 + 3*sqrt(78)\/(sqrt(486) + (sqrt(486) + (sqrt(486) - -3*sqrt(486)) - sqrt(486) - sqrt(486))).\nAnswer: 13 + 73*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6)\/((-6)\/(-16))*(-957)\/638.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(882\/(-875))*23\/(1035\/54).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus 51.593?\nAnswer: -72.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q - 3*q + 153387 - 153117 - 255*q**4 wrt q?\nAnswer: -3060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 134, 5, -3 in increasing order.\nAnswer: -3, 1, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.167 + 0.09. Which is the second smallest value? (a) 0.4 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**6\/15 - d**5 + 579*d**2\/2 - 1327*d. What is the derivative of t(o) wrt o?\nAnswer: 8*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -359*v + 64*v + 7*v + (1 + 3 - 3)*(v - 2*v + 0*v) + 2*v - 3*v + 0*v.\nAnswer: -290*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -6\/43, -2\/15, 574.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 56\/53, 0.4 in descending order.\nAnswer: 4, 56\/53, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 25396794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16142670 rounded to the nearest one hundred thousand?\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 9 (c) -0.35 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 49. Calculate o(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 51322 - 50948 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 9*j**2 - 4. Let n be x(9). Let y(z) = 1. Let f(c) be the first derivative of c**2 - 4*c - 8. Determine n*y(h) - f(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 80. Give m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*g**2 - 322*a**2*g - 3269*a**2 + 4*a*g**2 wrt g?\nAnswer: -4*a**2*g - 322*a**2 + 8*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 40. Let f = 30 + j. Solve -5*i = 3*o - 8*o - 20, 5*i + 5*o - f = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -709*h*k*r**4 + 19*h*k*r**2 + h*r**4 - h*r**2 + 3*h + 2*k*r**3 - 4*k wrt r.\nAnswer: -17016*h*k*r + 24*h*r + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 3. Suppose 0*s + g*s = 162. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + sqrt(500))*-4)**2.\nAnswer: -40320 + 3200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*w - 615, w - 2*z - 209 = -0*z. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 36.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 23 = 85. Suppose a = 5*p - 3. Suppose 4*b - 5*x - 10 - p = 0, x - 29 = -2*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(143)*2*-1*4*-5)\/(-1*-3*sqrt(44)\/sqrt(4)*4))**2.\nAnswer: -80*sqrt(13)\/3 + 1444\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2644 - -2643.5. What is the biggest value in -5, k, 4\/11, -4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6920\/(-150))\/(-1) + 4\/(-30). Suppose -21 = z - 4*m - 59, -3*m = 3*z - 69. Suppose -6*a + z = -p. What is the lowest common multiple of a and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -34 - 26. Suppose -3*l - 4*u + 64 + 3 = 0, 0 = -4*u - p. Find the common denominator of ((-36)\/40)\/((-6)\/l) and 3\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107851775944941 less than -0.4?\nAnswer: 107851775944940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -52, 0.2, -9, 0.06 in increasing order.\nAnswer: -52, -9, -3\/7, 0.06, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7506.5851 and -1.6.\nAnswer: -7508.1851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + 3. Suppose -11*u + 13*u = r. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -27 + 32 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 81. Suppose -5*w + 5 = s, o + 3*w + 2272 = 6*o. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29781 is divided by 745?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10206 + -411. Let s = -215537\/22 + t. What is the common denominator of s and -55\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 34445*d**4 - 887270*d**3 + 1438060*d**2 + 385400*d + 24000 = 0. Calculate d.\nAnswer: -10\/83, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*z - 433, z - 2*k - 97 = k. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (19 + 4) - (-2 + (-75 - 3))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + b + 1. Let d be n(-4). Let q be 3*(3 + -1 + d). Let s = -185 + 189. Sort q, 6, s in decreasing order.\nAnswer: 6, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 17710 = -3*u, -2*u + d + 11805 = -0*u. Round u to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 3*z - 3. Let h be s(-3). Let l = -31 + 37. Suppose h + l = 2*k. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 34.4. Let b be (3 - 9\/(-4)) + 87\/116. Sort s, -1, b, 1\/4 in descending order.\nAnswer: b, s, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (-2 + 2 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*p**2 - 525*p**2 + 1017*p**2 - 11*p**3 + 15*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1752900325232 - -294.\nAnswer: -1752900324938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*i - 4 = -6*i, 5*i = -3*r + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/15 + 8312*x**3\/3 - 71981886*x**2\/5 + 143243532*x\/5 + 3453802272\/5 = 0. Calculate x.\nAnswer: -6, 8, 10389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 326, 361, 424, 521, 658, 841, 1076, 1369?\n\"Answer: d**3 + 8*d**2 + 4*d + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 5*w**2 - 5*w - 15. Let r(p) = -92*p + 9014. Let g be r(98). Determine n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15993050867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 126*k - 630. Determine z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((90\/8)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + 12 + -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -127.79 (c) -4 (d) -0.6 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 763 - 770. What is the second biggest value in 1\/5, 69, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1207*z**2 - 2285*z + 19. What is i(2)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 33. Suppose -246 = 9*g - 1191. Suppose -5*t + t + 130 = -2*d, g = 3*t - 3*d. Calculate the smallest common multiple of t and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + 1 - ((-27 + 11 - -42) + -15).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/14)*l*l*l**20*l*l)\/(l**(-19)*l*l\/(l\/(((l**(2\/13)\/l*l)\/l)\/l))) assuming l is positive.\nAnswer: l**(7941\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 897317 to the power of 1\/2, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*i - 2*r - 4, i = r + 3. Suppose 28*o = 39*o - 22. Find the third derivative of 0*j**4 - 4*j**2 + 0*j**o - i*j**4 - 3*j**4 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - i**4)*(-139 - 98 + 8 + (-5 + 1 + 3)*(2 - 6 + 3) + 0 + 4 - 5 - 2 - 5 + 8 + 5 + 1 - 5).\nAnswer: 227*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465177 is divided by 129741.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10+57977388\nAnswer: 57977378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 271.705 + -271. Round l to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 16 - 38 - -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u**2 + 15*u + 14. Let b(t) = -5*t**2 + 7*t + 8. Let w(k) = 5*b(k) - 2*v(k). What is w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 9 - 27 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*m**2 + 8*m + 2*m - 2 + 0*m - 4.\nAnswer: -4*m**2 + 10*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 t when four letters picked without replacement from {t: 3, c: 1, u: 1, i: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*z + z = 6, 0 = 2*z. Let o(s) = s**2 + s + 3. Let v be o(-3). Let m = v - x. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9848*j = -9850*j + 1434. Calculate the remainder when j is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1\/(0 - 1). Let r(h) = -h**3 - 16*h**2 + 16*h - 17. Let p be r(-17). Suppose p*a - 64 = -j*a. What is the lowest common multiple of 6 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and (-4)\/3*(-1680)\/(-192)*-27.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4273\/25 - -171. Let f = 2 - 3. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 19*s**2 - 2*s - 5. Let a(z) = 9*z**2 - z - 2. Give 7*a(b) - 3*u(b).\nAnswer: 6*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 + -174. Suppose f*u = 5*z - 20, -z + 4*u = 7*u. Solve 15 = z*y - 0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -48. Suppose 2*f + p = -v*p + 53, 0 = f - 2*p - 16. Suppose f*c = 19*c + 402. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/72)\/(2556\/(-72))*(4\/(-10))\/(-1).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + -54. Calculate the greatest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (54 + -36 + (-3 - -1)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4554)\/253 - (-74 - 0). What is the highest common factor of h and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541763.\nAnswer: 3, 107, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1 - 4 + 1 + 4 + (3 + 1 - 6)*(-1 + 2 + 0))*(1 - 2 - 1)*(-2*m + 4*m + 0*m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51276728 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let x(r) = -3*r**2 + r + 3. What is -4*g(h) - x(h)?\nAnswer: -h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/((-3)\/36). Suppose -2*b = -79 + 265. Is 0 - (-2)\/(z\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5179400 and 121\/812?\nAnswer: 36255800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -55 + 45. Suppose 0 = 3*q + 15, -u*q + 1 = d - 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -14*h + 85 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1. Let q = 17.6 + h. Let x = -18.0019 + q. Round x to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-18) + 22\/99. What is the second smallest value in -1\/5, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98072\/5073 - 2\/1691. Calculate the common denominator of 30\/11 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 277\/89445?\nAnswer: 277\/89445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -18512.\nAnswer: 5\/18512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*((sqrt(5) + 4 + -5)**2 + -5*sqrt(35)\/sqrt(7)).\nAnswer: -42*sqrt(5) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*d - 182*d + 122*d.\nAnswer: 131*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.75 - -6.35. Which is the closest to 15? (a) 2\/17 (b) 1 (c) 0 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69438730 and 1558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67997213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 648, 2195, 5202, 10155, 17540?\nAnswer: 27843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*o - 5*o - 3, -o = -2*l - 9. Suppose 5*t - 14 = -3*p, -o*p + 8*p = -t + 16. Suppose 7 = p*x - 23. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/12 - 2)*(-24)\/9. Suppose 0 = 4*v, -4*v - 35 = -11*b + n*b. Suppose b*p = 6*p + 19. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 40 = 4*d, 5*d = -3*a + 6*a + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2 - 20*l + 467. What is the hundreds digit of o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.8 (c) -0.0401 (d) 0 (e) 213\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-6)\/3 - -2. Suppose 4 = -3*s + w*d, 5*s - d + 4 = 3. Solve -3*b - 5 - 7 = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(30\/56))\/(96\/240). Solve d + g = -0*d - 1, 0 = -4*d + g - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2606718 - -1.877781.\nAnswer: 2606719.877781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -10200102101?\nAnswer: -10200102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12287 - -12327. What is the least common multiple of b and 3948?\nAnswer: 39480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -5. Let p be (q*(-4)\/8)\/2. Determine l so that -1\/2*l**p + 1 + 1\/2*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 10 = 0. Suppose -n*t + 6*t + 3*m + 9 = 0, -5*t + 4*m + 12 = 0. Put 2, t, -3, -1 in ascending order.\nAnswer: -3, -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-66))\/((-23)\/46)*(-4)\/134. Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33708*d**3 + 959261628*d**2 - 18099285*d + 85374 = 0. Calculate d.\nAnswer: -28458, 1\/106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -688047733 and 0.4.\nAnswer: -688047732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3815?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c821d (base 16) to base 8.\nAnswer: 13101035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 30. Let s be k(-20). Let t = 16 - s. Calculate the greatest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p**2 + 14*p - 6*p**2 + 196 - 42*p = 0. Calculate p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 + 3653?\nAnswer: 373a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*h + 3, 12*y - 17*y + 2*h = -12. Solve y + 20 = 11*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11591 + -4359. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 133 - -1d2b?\nAnswer: 1e5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = -0*r + 5*q, 0 = -r + 3*q - 12. What is the tens digit of 1\/(-1 + 2) + r\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnttrtrrtnnntrtt. Give prob of picking 1 r, 1 t, and 2 n.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60821790 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Suppose -10*a + 20 = -12*a. What are the prime factors of (4\/o)\/(a\/(-275))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 59. Let p(h) = -h**2 + 12*h + 38. Let t be p(u). Suppose -t*g = -4*g - 72. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.0642, -1184.\nAnswer: -1184, -3, -2.0642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 0.5, 0, -4, -1\/4, 6\/593 in ascending order.\nAnswer: -4, -1\/4, 0, 6\/593, 0.5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30230202 (base 4) in base 14?\nAnswer: 14d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147638474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*d - 3574 + 982 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-1\/15)\/q*q))*q)\/q*q*q\/q**38*q**9*q\/q**38 assuming q is positive.\nAnswer: q**(-961\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let l be q(-3). Let o = l + -2. Let c(j) = -2*j**2 + j**o + 4*j**2. Let i(f) = f**2. What is i(c(g))?\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -8, 5, 16, 25, 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m + 1329. What is the remainder when 1619 is divided by q(-66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2203.8 + -2204. What is the third smallest value in -0.06, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8994283*u**3*y - u**2*y - 2*u**2 + 247700*y + 3 wrt u.\nAnswer: 53965698*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152.5 + -126. Let i = 403229.509691 + -403256.01. Let g = i + x. What is g rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -3 (c) 0.4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-207)\/(-4))\/(-23)*((-6)\/8)\/(216\/7296)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1375\/8 + -8851\/40. Let n = a - -49. Let h = 17 + -7. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11758, 23522, 35286?\n\"Answer: 11764*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -3*l**5\/20 - l**3\/2 - 2*l - 3. Let k(y) be the first derivative of b(y). What is the second derivative of k(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + 9*v**3 + 8*v**3)*(0*v - 2*v - v) as y*v**4 + j*v**2 + h*v**3 + w + i*v and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29910055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -53*b**2 - 40683*b + 16133. Give n(-768).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d + 220 = 110. Find v such that -134\/3*v**d + 146\/3*v**3 + 14\/3*v**5 + 56\/3*v - 8\/3 - 74\/3*v**4 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -7*n**5\/20 + 11*n**2\/2 - 13*n. Differentiate j(d) wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 4767 = -56*v - 96*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 39\/(-65). Let j be (4 - 4) + g\/(-1). Are -1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 160?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 4. Let s(l) = 14*l + 16. Let v(j) = -s(j) - 5*t(j). What is v(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3*t**4 + 4*t**2 - 62510*t + 62510*t + t**3 as r*t + c + z*t**4 + l*t**3 + w*t**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 107 (b) 3 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390227185.\nAnswer: 5, 127, 614531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - 1.7. Let j = t + -1.8. Let p = -1 - -0.7. Which is the third smallest value? (a) j (b) p (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5221 + -5214.82. Which is smaller: s or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13474*c*q**2 + 10*c + 1277 wrt q.\nAnswer: -26948*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 460968 and 460968 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3333\/292 + -12\/73. Let r = -317\/28 + a. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from {f: 6, b: 2, e: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-32) + 4)*16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593274 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 2*t - 4*t)*(6*t - t - 3*t) - 4 - 2*t**2 + 4 + 5*t**2 + t**2 - 2*t**2)*(3*t**3 - 3*t**3 - t**3)*(1 - 1 + 10).\nAnswer: 20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 5*u = -10, -j - 1 = -5*u + 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172377 is divided by 743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/4)\/((-6)\/(-12)). Suppose -i = -2*n + m, -n = -3*n - 3*m + 7. Calculate the remainder when 31 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynpm when four letters picked without replacement from {y: 3, n: 2, z: 2, m: 4, p: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.7345244 times 5\nAnswer: 3.672622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from iiiiddoddoidd?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059710002612 take away -9?\nAnswer: -2059710002603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 - 7*q - 3. Let c(y) be the third derivative of y**5\/10 + y**4\/4 + y**3\/3 - 9*y**2. Calculate -5*c(a) - 4*h(a).\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by ((-140)\/(-50))\/(0 - (-4)\/40).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34986, -279742, -944102, -2237868, -4370842, -7552826?\n\"Answer: -34967*g**3 + 13*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-28)\/21. Suppose -p*a - a = -63. Suppose -4*z = 8, 0 = 2*k - 7*z + 3*z - 50. Is a less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 0.044275, 3\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-15) - (-28)\/10. Let p(i) = -i**3 + 9*i**2 - 8*i + 1. Let o be p(8). Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -19, -5.\nAnswer: -19, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8147, 8133, 8105, 8057, 7983?\nAnswer: 7877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1678+1143\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2)\/z))**(41\/5))**(-3\/11) assuming z is positive.\nAnswer: z**(-369\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {o: 1, b: 3, n: 2, c: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 6*m**2 - m - 16*m**2 + 8*m**2 - m + 2.\nAnswer: 2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 62. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89 (b) -1\/3 (c) 2 (d) -82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*10\/(-12)*(3 - -36). Suppose -5*c + 200 = -u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 7}. What is prob of picking 3 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3 + 1183164*z**2 - 3549465*z = 0.\nAnswer: 0, 3, 394385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = t + 1008, x - 5*t = -320. Let v = x - -717. Let c be (v\/4)\/(5\/10). What is c rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 4740.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1353*i**3 - 507*i**3 - 276*i**3)*(1 - 1 + 2) in the form m*i**3 + n*i + v + h*i**2 and give m.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/105 + 3*y**6\/20 - 7*y**5\/10 - y**4\/12 + 10*y**3 - 295*y**2. Suppose o(h) = 0. What is h?\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k - 35520905. Let b = -2104181 + k. What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 - 4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51135645*k**4*l**2 + 5*k*l**2 + 3095*k*l - 3*k + 2*l**2 - 2*l + 5 wrt k?\nAnswer: -613627740*k**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*j**5 + 6070*j**3 + 2*j**2 - 54965982*j wrt j?\nAnswer: -1020*j**3 + 36420*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 2*i, 4*s = 23*i - 27*i + 16. Solve 4*k - i - 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 6*y**2 - 3*y - 3. Let x be f(5). Solve 3*n + 5 + x = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/8))**44 assuming l is positive.\nAnswer: l**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaka when four letters picked without replacement from {a: 2, k: 2, w: 4, r: 2, i: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.10970856 rounded to 4 dps?\nAnswer: 0.1097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07018122 to four dps.\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {t: 7, v: 7, o: 2, f: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -675, -1351, -2027, -2703, -3379, -4055?\n\"Answer: -676*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 27*j - 456. Let i be c(39). Solve 6*f - 36 = i for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x + 63735 = -73*x. List the prime factors of x.\nAnswer: 5, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(2\/4 - (-63771)\/(-12)).\nAnswer: 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 + -11110111011?\nAnswer: -11101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)\/o)**7)**(-14))**(-12) assuming o is positive.\nAnswer: o**(-2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -164 and -0.2.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.285953\nAnswer: 0.0285953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 429 + (3\/5 - (-12)\/30). Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -6758?\nAnswer: -33790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 4*p + 0*p + 114 = 0, -5*p = -n + 15044 - 14984 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 27. Suppose f - 53 = g. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(27\/(-18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/360 - 5*p**4\/72 + 4*p**3\/9 + 315*p**2. Factor f(d).\nAnswer: (d - 8)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/105)\/(-2 - (-16)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -4\/5, 0, 19\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.1 + 44.9. What is the second biggest value in -6, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 25. Let g(m) = m**3 - 5*m**2 - m + 7. Let d be g(3). Let z be u(d). Suppose 0 = 9*a - 24 - 21. Put a, z, 2, -1 in ascending order.\nAnswer: -1, 2, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/15)\/((-11)\/2 - -4). What is the nearest to -2 in 4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a (base 13) in base 4?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -553025?\nAnswer: -553010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*c**3 + 0*c**3 - 3*c**3)*(0 - 4 + 3)*(5*c + 2*c - 5*c + 1)*(-9 - 13 - 1) to k + o*c + y*c**2 + s*c**3 + w*c**4 and give s.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-104)*-4*8\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1236)\/(-208) + -18 + 12 and 97\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + (-2)\/(1 + -2). Let s = p + 9. Let i be 15\/s*(0 + -2). What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145999a (base 11) to base 4.\nAnswer: -21202320003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 41*z**2 + 43*z + 50. Suppose -37 - 5 = q. Let n be u(q). Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auua when four letters picked without replacement from {u: 12, a: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 84 = -3*d. What is the least common multiple of d and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1020 + 1033. Solve -f + 6*f - 19 = 4*y, -y - l = -4*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 20*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 3 + 9*c + 6424518*c**4 - 6424517*c**4 + 2*c**2 in the form q*c + h + b*c**4 + i*c**3 + n*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 118 = 2*x, -2*t + 58 = -25*x + 29*x + 35 + 39 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133579 is divided by 4047?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 64991.41 days?\nAnswer: 5615257824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 16*a**2 - 16*a - 9. Let q be b(17). Let i be (-41919998)\/q - 14\/56. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/44)\/((-21)\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = b + 43, -4*b = -u + 32 - 0. Let m(r) = 5*r**3 + r - 1. Suppose -4*s = s - 5. Let v be m(s). What is the highest common factor of v and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97512 divided by 1434\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - c - 2. Determine s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 7}. Give prob of picking 3 f and 1 i.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(52)\/sqrt(4) + -5 + sqrt(117).\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2548\/3 - 849. What is the closest to 1 in z, -42, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 6, i: 3, o: 2}. What is prob of sequence fo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -5449513.239 and -0.2.\nAnswer: -5449513.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwtqtlx. What is prob of picking 1 x and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5367763 plus 5?\nAnswer: 21.5367763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.0996 rounded to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.115168ug to nanograms.\nAnswer: 115.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 7*u + 1. Let j be d(-6). Let b = -9 + 15. Let z = 3 - b. Put -2\/5, j, z in increasing order.\nAnswer: j, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2549721 decades to millennia.\nAnswer: 0.002549721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 18. Let x be j(11). Suppose 12 = 10*y - x*y. Solve -y*b = -0 - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 5*a - 3494, -a + 5816 = 5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*48\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 1:33 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 456113 + 110?\nAnswer: 456223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1377 + 371. Let s = n - -123. What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2999348 + 1.4.\nAnswer: 1.1000652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/15*a**3 - 2\/15*a**4 + 8\/15*a**2 + 8\/15*a + 0 = 0 for a.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 141*w - 8. Let q(r) = -18*r**2 - 847*r - 52. What is -13*b(j) + 2*q(j)?\nAnswer: 3*j**2 + 139*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -110111?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -99, -127, -149, -165, -175?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4867846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*a**3*s - 2*a**3 + 53*a**2*s - 2*a**2 wrt a?\nAnswer: -126*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 4*u - 8, 0 = -6*b + 9*b - 5*u - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -310*c + 204*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -30, -5, 69206?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.03 + 100. Let t = 1.67 - r. Let f = 1 + -1. Are f and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(19)*-1 + sqrt(19) + (sqrt(19) - (sqrt(19) + (sqrt(19) + -1)*3)**2) + (0 + sqrt(931)*4)**2).\nAnswer: 54*sqrt(19) + 29166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 620\/19?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -12530?\nAnswer: 12520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -548*o + 3531*o + 195 + 1794 + 491 wrt o.\nAnswer: 2983","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 111*o**3 - o**2 + o - 2. Let p be d(2). Let b = 2757 - p. Suppose -221 = 4*k - b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 9 - 29)*(-2*j + j + 4*j) to x*j + w and give x.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 - 438. Let k(m) = 4*m**2 - 14*m + 6. Let p be k(u). What is the highest common divisor of p and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3187726 and 8.2?\nAnswer: 3187717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xccqcqxxcqccx.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 22*b**2 - 4*b**2.\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17478775 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.27*3.\nAnswer: -54.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 638925*f**2 - 102057886200*f + 510273458000.\nAnswer: -(f - 319460)**2*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 1, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-40)\/(-20))*322\/(-23)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -125. What is the second derivative of 6*n**5 - 89*n - d*n**5 + 81*n + 6 + 42*n**3 wrt n?\nAnswer: 20*n**3 + 252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:59 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3588\/(-23)*((-140)\/14)\/(-40)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 2146*s + 420553. What is t(258)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(c\/(((c*c*(c**4*c*c*c)\/c*c)\/c)\/c))\/c)*c**(-13)*((c\/c**9)\/c*c)**(-3\/7) assuming c is positive.\nAnswer: c**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11127, -11141, -11157, -11175, -11195, -11217?\n\"Answer: -z**2 - 11*z - 11115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3038?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*s + 6071148 - 6066682 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532.127 micrograms to tonnes.\nAnswer: 0.000000001532127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23177 = 11*z - 23122. Let i(k) = -13*k - 25. Give i(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 657 + -656. Which is the nearest to 1? (a) v (b) 1\/8 (c) 280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 24*j**2 + 22*j - 61. Let w be y(-25). Let p(r) = -14*r**2 + 2*r - r + w*r**2 - 2*r**2 - 11*r**3. Calculate p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s - 5*s + 0*s - s - s + 0*s - 3*s - s - 2*s + (99 - 99 - 11*s)*(2 - 4 + 0).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.5 (c) 4 (d) -2109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10621 (base 10) to base 5\nAnswer: 314441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6 - 1)*-9. Suppose -17 = -2*a + 2*l + 3, 0 = -2*a - 4*l + 50. What is the remainder when ((-292)\/y)\/((-2 - 4)\/18) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 + -0.07. Let z = c - 4.62. Let v = -2.7 - z. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6222 and 40290?\nAnswer: 2457690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*f - 362 = -1, -3*q + 273 = 3*f. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -0.5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.4, 3.73, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 603332 to the power of 1\/2, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 21*c**5\/10 + c**4\/3 - c**3 - 5*c**2\/2 - 18*c - 2. What is the hundreds digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/29445 and -57\/65171600?\nAnswer: 195514800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 0, 3*l - 2*r + 13 = -6. Let m = 33 + l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 at least 2308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0081859 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.75465 tonnes?\nAnswer: 9754650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 18}. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132003333000 - -11?\nAnswer: 10132003333011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/486504 and 59\/135024?\nAnswer: 94381776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4974 and 5\/2763886?\nAnswer: 8291658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2423, 8, 3 in increasing order.\nAnswer: -2423, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -112. Let m = x - -4. Let a = m - 59.999892. Round a to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 3*v - 3. Let m be g(-3). Let l = -23.047 + 0.047. Let t = l - -22.9. What is the third smallest value in 0, t, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 + 34?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79394, -79393, -79392?\n\"Answer: k - 79395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 5, v: 2, r: 7, o: 2}. What is prob of picking 1 u and 1 v?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27423 is divided by 27422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145122 (base 6) in base 5?\nAnswer: 422330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -5. Let w be 70\/30*14\/49. Which is the nearest to w? (a) 4 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (-2 + 2)\/(-2). Let v = 10 + o. Suppose -12 = -v*a + 15. Calculate the remainder when 26 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1916 - -1920. Let t(v) = 7*v**2 - 1. Let i(k) = -27*k**2 + 3. Determine o*i(b) + 15*t(b).\nAnswer: -3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -5. Let b(a) = 0*a - 1 + 3*a - 6*a. Calculate the remainder when 3 is divided by b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:18 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73927543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32464 (base 16) in base 7?\nAnswer: -1515235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 24 - (-44 + 3 + 3)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*b**4 - 286*b**3 + 17*b**2 + 3373482.\nAnswer: 188*b**3 - 858*b**2 + 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 0)*(5 - 2 - 1) + (0 - 2 - 3)*(-5 + 2 - 3))*(0*j + 2*j - 3*j).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*m**4 + 10*m**4 - 6*m**4 - 2*m**4 + 2*m**2 - 2*m**2 + (-3 + 3 + m**2)*(-3*m - 2*m**2 + 3*m).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 151277 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 2) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d - 7. Let b(m) = -4*m + 2. Let u(k) = -k. Let n(q) = b(q) - u(q). Give 6*a(g) + 21*n(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovovvovtvo. Give prob of sequence oo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**6 + 171*z**5 - 251*z**2 + 8*z?\nAnswer: -480*z**3 + 10260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + w + 2. Let b be p(-1). Suppose -b*i = 5*f - 2200012, 0*i - i = -4*f + 1759997. What is f rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 74 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-3)\/(6\/4)). Let j be (0\/(-1*(m + 4)))\/(-1). Solve -1 = -3*y - 4*d, j = -4*y + y + 4*d - 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17815 + 17815. Solve 8 + 1 = v - 4*f, 4*v + 2*f + 18 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 - 1.3. Suppose 0*u + 84 = 4*u. Suppose -b - 4*s = 11, -5*s - u = -1. What is the nearest to -1 in 4, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**3 + 88952*z**2 - 266884*z + 177928 = 0.\nAnswer: -22241, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -4616?\nAnswer: 4616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l - 1. Let o(d) = 10*d**2 + 62*d - 78*d + 10 - 18. Let n(a) = 8*j(a) - o(a). Factor n(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94182, -92226, -90272, -88320, -86370, -84422, -82476?\nAnswer: -80532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16550?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 435 = -3*b - q, 0 = b + 2*q - 150. Suppose 7*j = 2*j + b. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + -2*sqrt(63) + (-5*sqrt(14)\/(1*sqrt(2)))**2)*5.\nAnswer: -30*sqrt(7) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -142*b**2\/7 + 108*b\/7.\nAnswer: -2*b*(71*b - 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -6f72?\nAnswer: -6f77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 589 + 3 - (3 - 0). Let l be (-57 + -1 + 0)\/(-1). Find y, given that l*y + 30*y - 322*y**2 - 197*y**3 + j*y**3 - 8 = 0.\nAnswer: 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 3. Let m = -16 - -19. Determine u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o - 13*o - 1 + 11948*o**3 - 11960*o**3 - 2*o**2)*(4*o + 0*o - 3*o)*(0*o + 0*o - o).\nAnswer: 12*o**5 + 2*o**4 - o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, u: 1, z: 5, q: 10, w: 1}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*s*w**4 + s*w**3 + 332*s + 18*w**4 + 44*w**2 wrt w.\nAnswer: -4224*s*w + 6*s + 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6.3 (b) -783538 (c) 3\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y + 1. Let h(w) = 2*w**2 + 15*w + 2. Determine 11*f(m) - 4*h(m).\nAnswer: 3*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 180+33.377404142\nAnswer: 213.377404142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 28431980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 7*v + 18. Suppose 0 = -v*g + 6053 + 1223. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.402 + 105.402. Let o = -1511.1 + 1594. Let a = o - b. What is the second smallest value in a, -3, -2\/5, 2\/67?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2076)\/(-5536) - (-46)\/(-120)?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 73*-497708\nAnswer: -36332684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 117. Suppose k*n - 15*n + 286 = 0. Calculate the smallest common multiple of n and 126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 + p - 13. Let i(w) = -19*w + 95. Let a be i(5). Give x(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 6}. What is prob of sequence hhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -10. Suppose 3*q - m = -0*q. Which is greater: q or 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g - 18*g = 1485. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.81073 rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3 - 3*i**3 - 75*i - 4*i**3 - 15*i - 2*i**4 wrt i?\nAnswer: -24*i**2 - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 1, g: 2, s: 2}. Give prob of picking 1 w and 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 448, 0.1, 15, -8, 4, -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = x + 2*y, -25 = -x + 4*y - 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 4*n + 3. Let p be u(2). Let d be (-2)\/((-5)\/(p\/(-6))). Suppose -d*r + 4*r = 740. Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1393329 to three decimal places.\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 9. Let f = -19 + 20. Put f, u, -4 in decreasing order.\nAnswer: f, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309028361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9156310.11 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/1888*-48)\/((-18)\/((-6)\/2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722238*p - p**3 - 722253*p - 722257*p + 8*p**3 + 2166748*p + 2*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j + 19. What is d(-8)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9050, 36200, 81452, 144806, 226262, 325820?\n\"Answer: 9051*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -6 + 17*f - 1\/2*f**2 + 14\/3*f**3 + 1\/4*f**4. Is r(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.4614 and 308746.\nAnswer: 308748.4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide ((-48)\/(-20))\/(-6)*12885\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) - sqrt(147)*-2)**2)*4 + (-3*sqrt(36)\/sqrt(4))\/sqrt(3) + -4)*-2*6.\nAnswer: -300*sqrt(3) + 63552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/7, 2\/11, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(384\/374))\/(3\/(-186)). Let p = -362 + l. What is the common denominator of p and 43\/478?\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 53*k**2 + 1121*k - 3412. Give s(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Suppose -2*g + q*g = 0. Let v = -13 - -14. Solve 4*z - 5 + v = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 13*r**4 + 1 - r - 11*r**4 as d*r**4 + b*r + h*r**2 + w + u*r**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11413\/4, -8, -0.527?\nAnswer: -11413\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**3 - 13*h**2\/2 - 18*h. Let q be k(4). Solve 4*p - q - 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let u = -0.4 - -0.1. Let r = 1.3 + u. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1749 - 12242\/7. Which is the smallest value? (a) -1 (b) -2 (c) s (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y. Let k(x) = 12609*x**2 + 4. Calculate k(u(h)).\nAnswer: 1260900*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/30*-2*9\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5689, -10203, -14701, -19183, -23649, -28099, -32533?\n\"Answer: 8*v**2 - 4538*v - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -31. Suppose -9*j + 16*j = 21. What is the greatest common factor of i and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 + 1 = 0. What is the lowest common multiple of 2 - -3 - (-2 - (-6)\/(-6)) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -6*m - 4. Let d(z) = -10*z**m - z**2 + 6*z**2 + 4*z**2. Let a(f) = -2*f. What is d(a(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(70)*-1*1 + (3*(sqrt(70) - sqrt(70)*2) - sqrt(70))))\/((-2*sqrt(100))\/sqrt(10) - (sqrt(1440) - -4*sqrt(1440))))**2.\nAnswer: 700\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -0.2 (d) 275647\/8 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((1*2*-2)\/((-18083)\/2782))\/2\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/408 and -155\/714.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6143*f**3 - 19501 wrt f?\nAnswer: -18429*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 1377*j - 56906. Calculate p(44).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 24. Let n(f) = 5*f + 4. Let q be n(k). Let o = -61 + q. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/26 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 84*r + 286. What is the tens digit of q(-34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4875 + -365. List the prime factors of v.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-144488)\/(-48) + 1*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3496098m in nanometers?\nAnswer: 349609800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -86. Let o = -19 - b. Suppose 0*h + 3*h - 450 = o. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + d + 603 = -4*v, 461 = -3*v + d. Let l = v + 167. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*g + 216 = -155*g. Which is smaller: g or -71?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8*o - 3*o - 122, -3*o = -s + 22. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 2*g**2 - 2*g**2 + (0 + 0 + 2*g)*(2*g**3 - 3*g**3 + 3*g**3) - 2*g**4 + g**4 + 2*g**4 + 4 - 2*g**4 - 4.\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 0.0371, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 13047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2057) + 2 + 4) + (sqrt(2057)*-1 + 4)**2 + 0.\nAnswer: -132*sqrt(17) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:47 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r - 10627 = 46661. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u + 27*u + 3 + 34*u.\nAnswer: 6*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14337*c**2. Let s(u) = 196*u. Calculate s(k(a)).\nAnswer: 2810052*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192984\/2992)\/((-30)\/20)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 170 = 0. Suppose 3*a - u = -422, 708 = -5*a + 4*u - 7*u. Let f = g - a. Calculate the lowest common multiple of f and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115256247 to the power of 1\/2, to the nearest integer?\nAnswer: 10736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 * -0.1.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*d - 223*d + 2 = 4*f, -2*f + 68 = -0*f - f - 7*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28925569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94266*y - 94270*y - 718 - 501 to the form g + w*y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 371, 809, 1231, 1637, 2027?\n\"Answer: -8*m**2 + 462*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823.40312 rounded to one dp?\nAnswer: 2823.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -53*h**2 - 2176*h + 26. What is x(-41)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 - 40 + y**2 - 41 - 39 + 5*y + 122 + y**3. Determine k(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i + 27. Calculate the remainder when 29 - (-7)\/(14\/i) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8200)\/910 - 1\/(-13)*2. Are -10 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 851.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220164978?\nAnswer: 2, 3, 11, 3335833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1326386602*s - 880428144?\nAnswer: 1326386602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 9*k - 7. Let d be y(-11). Let q = 24 - d. Suppose -30 = -0*a - 2*a. What is the remainder when a is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -69. Solve -x + 4 = -f*x - 2*g, -3*g = -3*x + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.659222ml to litres.\nAnswer: 0.003659222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 142*f - 237. What is g(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7430)\/(-264)*126\/(-380). Let t = 1234154\/209 + -5905. Let w = t - n. What is the common denominator of -61\/3 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10) + 11 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 + 3*p + 3. Let g = -9 + 6. Let r be b(g). Suppose -7 = 5*v - r. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -459 + 484. What is the highest common divisor of 2575 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1030014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-577)\/(-2)*238\/77)\/(-1). Let b = 893 + w. Let h = b - 92\/55. Find the common denominator of h and 17\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 61, 135, 237?\n\"Answer: 14*o**2 + 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 = -4. Suppose 4*s + 464 = 5*g, 5*s + 364 = g + 3*g. Suppose -3*r = -v*r + g. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j - 15. Let w be 1 + j*(-2)\/(-6). Let q(m) = -m**2 + 3*m**2 - m**w. Let h(o) = -2*o. What is h(q(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 763 + -311. Let b = 25 + -11. Suppose -j + 144 = -b*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59286662 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8223539, 8223538, 8223537, 8223536?\n\"Answer: -t + 8223540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028 - 342.972. Let d = 28770854.00358 + -28771197. Let l = d - y. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6*(-3)\/2). Let q be 21952\/(-2352) - (-18)\/2. Sort q, 4, h, -2\/9.\nAnswer: q, -2\/9, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11481199 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**3\/6 - 5*q**2\/2 - 3*q. What is the remainder when -6*(12\/(-9))\/2 is divided by r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8519*16.5\nAnswer: 140563.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 26. Let x = -707 + b. Let l = -727.63 - x. Round l to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(833))**2.\nAnswer: -112*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5013, 5016, 5021, 5028, 5037, 5048?\n\"Answer: i**2 + 5012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b - 2*b**3 + (-1 + 1 - 1)*(-3 + 2*b**3 + 3) + (0*b**3 + 4*b**3 - b**3)*(1 - 1 + 9).\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + r = 13, -3*i + 5*r + 0*r = -27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 210*o\/11 - 212\/11.\nAnswer: 2*(o - 106)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59901288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -112*g + 103*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2815 - 2814.3601. Round u to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41.4 (b) -1\/4 (c) 3 (d) 99 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12616)\/(-4648) + (-591)\/210.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/35)\/(6\/495). Let l be (-12)\/n - (-46)\/11. Suppose 255 = -p + l*p. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246872 take away 0.014096494?\nAnswer: 0.232775506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 238008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -22 + 1. Let n = -3 + i. Suppose 5*c + 2250 = 5*k - 0*c, n*c = 3*k - 1353. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkx when three letters picked without replacement from {k: 1, x: 3, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and (84\/12768)\/(2\/(-210))?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = d + 6, 3*d - 5*b = 21. Let s be d*(20\/(-5) - -54). Let c be (320*s)\/((-7)\/140). Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyqqyq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*m + 5*p, m + 15 = 6*m + p. Let j(u) = -3*u + 0*u - 1 + 0*u**2 - u**3 + 6*u**m. Let a be j(5). Solve a*q - 4*q = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 461434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:33 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa8 (base 16) in base 8?\nAnswer: 35250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -5 - -7*1. Let v(q) = -7*q**2 + 1 - 6 + 2 + q**3 + 0 + q. Let d be v(7). Solve -l - 2*g = f, 5*l - d*g = 2*l + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 46 - 156 = 0. Let z = 53 + v. Let n = -29 - z. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*t + 14, 0 = 4*z - t + 4 - 14. Solve 4*n = p + 8, -p + 2 - 6 = -z*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**3*b*b\/(b**1\/b)*((b\/(b\/(b**(-1\/4)\/b)))\/b*b)**(15\/2)*(b**0)**6*b\/b**(-3)*(((b\/b**(-1\/6))\/b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + w)*(0*w**3 + 0*w**3 - 2*w**4) + 3083*w**5 - 6154*w**5 - 7633 + 3073*w**5.\nAnswer: 6*w**5 - 7633","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(0 - (0 - -3)). Let g be m + (0 - 2) - 2. Suppose 5 = 5*b - g. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6)*336\/32. Let v = -29 + h. Determine o, given that -v*o + 0*o**3 - 8*o**3 + 2*o**4 - 10*o**3 + 3*o**3 + 19*o**2 = 0.\nAnswer: 0, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -138 (c) -2\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - b + 1)*(-3888 + 7196 - 3639)*(1 - 1 + 2*b) as u + v*b + r*b**2 and give r.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 18*s**2 + 1 - 3.\nAnswer: 18*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 834.7655g in kilograms?\nAnswer: 0.8347655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 514921605.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37021*k**2 + 78 - 162 + 7212*k**2 - 1845*k**2 + 82.\nAnswer: 42388*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-8)\/144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7*d = -4*d, -4*r - d - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*g + 6*g + 11085 = 11079, u + 3*g = -9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpz when three letters picked without replacement from ffnzznpfpnzp?\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186525063*x + 186525063*x - 20*x**2 + 34*x**2 - 3*x**3 - 14*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b. Let g be r(-4). Let f = g - -15. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -65*z**3 - z**2 + 2*z - 1. Let c be h(2). Let b = 1200 + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + 1. Suppose 3*s = -2*s - 3*t + 7, 3*t - 11 = -s. What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-4 - 10) - -11) + (13 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*k**3 - 6*k + 6*k - 10 - 7*k**3 with respect to k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -228?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-57*i - 65*i - 17*i + (-1 + 1 - 1)*(2*i + 6*i - 4*i)).\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78607 litres in millilitres?\nAnswer: 2786.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 5*m - 98, 0 = -3*s + m - 82. Suppose 9*a + 11 = 7*a - 45. Let k = s - a. Solve -u + 6 = k*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvveveeveeee. What is prob of picking 3 e and 1 v?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*k + 132 = 0, -5*r + 4*k + 124 + 504 = 0. Suppose -5*a = -r + 89. Let n = -73 + 122. What is the greatest common divisor of a and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t**3 - 93 - 298 + 341 - 360 to the form h + m*t**2 + y*t + u*t**3 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -65*g**3 + 3*g**2 + 3*g + 1. Let i be l(-2). Let n(m) = -2*m**2 - 21*m + 15. Let a be n(9). Let p = i + a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 68*i**3 - i**2 - 3*i + 48. List the prime factors of a(4).\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255967173.7 to the nearest one million.\nAnswer: 256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Calculate the least common multiple of 8 and ((-126)\/6)\/(d\/(-2)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202242.3 to the nearest one thousand.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1542564*z**4 - 2218212000*z**3 + 7143988*z**2 - 5752*z = 0.\nAnswer: 0, 1\/621, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**5*s + 3*a**4*s**2 - 7*a - 21*s**2 wrt a.\nAnswer: -120*a**3*s + 36*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 560882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 36*o**2 + 31*o - 36. Let s(i) = -i**3 - 18*i**2 + 15*i - 20. Let x(k) = -7*s(k) + 4*u(k). Give x(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 35 - b - 2*b - 3*b + 4*b + b + 0*b + b + (1 - 2 - 1)*(2*b - 3 + 3) + 0*b - 2*b + 0*b + 3*b + b - 2*b + (3 - 6 + 4)*(-7 - 14*b + 7).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 2\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -21*p + 43. Calculate the highest common divisor of 5855 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7831914 decades to months.\nAnswer: 93.982968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166792?\nAnswer: 2, 11, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1.2, 2\/35, -2, -56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/30 and 83\/3828?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {m: 5, t: 4, i: 1, g: 6}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/((-4350)\/(-6975715)))\/(13180\/(-6)). Let r = -2\/19111 + v. What is the common denominator of r and -18\/155?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o - 4 = -3*z, -z = o. Suppose z*a = 2*x + 18, -5*x - 15 = a - 0*a. Solve -3*j + a - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 6420 = -7092 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.1 + -53. Let l = 6.2 + b. Let n = 9.3 - l. Sort -1, n, 0, 0.7.\nAnswer: -1, 0, 0.7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 19, 23\/4 in decreasing order.\nAnswer: 19, 23\/4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -430131?\nAnswer: -430122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(12)\/sqrt(2)))\/((sqrt(48)\/sqrt(3))\/sqrt(4))*2.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/15 and (-677)\/(-42) + 155\/217?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2418309622?\nAnswer: 2, 157, 7701623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8161763 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25831 and 512?\nAnswer: 13225472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -243660, -243640, -243620?\n\"Answer: 20*p - 243680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/20 - 5*k**4\/12 - k**3 + 7*k**2\/2 + 10*k. Give g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3\/5 - 8*z**2\/5 + 19*z\/5 - 2 = 0?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81372715 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21522760?\nAnswer: 2, 5, 7, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1025 - -1548. Suppose 5*k - s = 4*x, 0 = -k + 3*x - 32 + 141. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2\/3 + 249752*d\/3 + 3898503844\/3 = 0. Calculate d.\nAnswer: -31219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2 and 53\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 289, 435, 579, 721, 861?\n\"Answer: -o**2 + 151*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1314, -934, 80, 2046, 5282, 10106, 16836?\n\"Answer: 53*t**3 - t**2 + 12*t - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 2\/((-30)\/(-75))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 13) to base 4.\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 938, 1, 2, 0, -5.\nAnswer: -5, 0, 1, 2, 938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000859401777 rounded to 5 decimal places?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 5*l**2\/2 - 2*l - 79. Let d be b(0). Let c(u) = u**2 - u. Let v(y) = -4*y**2 + 8*y + 2. Let f(m) = 5*c(m) + v(m). Give f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2070, 2084, 2132, 2232, 2402, 2660, 3024?\nAnswer: 3512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35879 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25303163 (base 8) to base 13\nAnswer: 1213273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 + 4.4. Sort 3, -1\/2, d in descending order.\nAnswer: 3, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 8*x - 14. Let h be r(7). Put h, -1, 4, -3 in ascending order.\nAnswer: h, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Sort 0, 1, s in descending order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8288, -8303, -8338, -8399, -8492, -8623?\n\"Answer: -j**3 - 4*j**2 + 4*j - 8287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6902 - 6902 + 8*w**2 + 8*w**3 wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08863 + 0.0886311319. Round k to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.13927 microseconds to milliseconds.\nAnswer: 0.07413927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53986971?\nAnswer: 3, 17995657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -23) + 23 - (-2 - (2 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 2\/13, 3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 13609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2\/6)\/(82\/4920).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = 11. Suppose p*f = -2*u + 45, -4*u = 5*f + 47 - 136. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/17 (c) -3\/5 (d) 1\/3 (e) 60 (f) -1\/22 (g) -7\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5909 - -5946. Solve 33*n = l*n + 3*h - 20, h - 10 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.1, -1, 5, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + a - 2. Let v be d(-2). Solve 3*y - 27 = 4*l, -2*y - l + 3 = -v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405341 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*3\/(-12)*6. Let g = 0 + t. Suppose -2*r = -2*j - 6*r - 10, -g*j + 3*r = -21. What is the highest common divisor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - ((-715)\/(-91) + (-18)\/21). Sort -1, -9, v, 3 in descending order.\nAnswer: 3, -1, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 31*t + 577. Let f be g(13). Let b = -478.99 + 474. Let h = b - 0.01. What is the third biggest value in h, f, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-192)\/97 + 0 + 2. Let l = 105\/388 - k. Let i be (-4 - -2*1) + -1. What is the nearest to l in 0, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/7 (b) -2\/9 (c) 11\/100 (d) 2\/3 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0 (c) -3 (d) 54 (e) -877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1544 divide 51178796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/6 - 3*m**3\/2 + 111*m**2\/2 + m + 546. Determine b(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.085ug to grams.\nAnswer: 0.000348085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 - -48?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4*0)\/(180\/60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-81) - 155\/900. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14302*r**4*y**2 - 45*r**4*y + 162536750*y**2 wrt r?\nAnswer: 57208*r**3*y**2 - 180*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/((-36)\/(-21 - -15)). Which is the third biggest value? (a) 105 (b) -5.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -6*z - f - 514, 2*z + f = 200. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 1008*j + 74309. Give v(-69).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and 687.05.\nAnswer: 668.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 3*z**2 + 3*z. Let d(a) = 43*a - 735. Let g be d(17). Let q(b) = -4*b**3 - 7*b**2 + 7*b. What is g*q(y) + 9*s(y)?\nAnswer: -2*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 8*g**2 + 4*g - 3. Let r be m(3). Let a be ((-44)\/8 - -4)\/(r\/(-24)). Let h be a - (-4 + 3) - (-68)\/22. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-532)\/(-16))\/((-21)\/12 - -2)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058261 >= -1058262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d9 + -12?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*v + 3, 0 = -v - 4*f - 90 + 102 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 18 + 618 = 0. Suppose -5*m = -y - 89. Determine b so that -5 - 5 + 5*b**3 - m*b + 24*b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 246807421 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -3.717. Let m = j + 0.03. What is m rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 - 7*p + 10. Give w(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*x, r - 9 = -5*x - 21. Let l = -3 - -6. Suppose 2*b = -4*p + 778, -r*p + 1171 = l*b + 2*p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -116. Let h = -6 + 11. Suppose -5*k = h*g - 0*k - 125, 3*g + k = l. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363865 (base 9) to base 2\nAnswer: 110101100100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8562266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 80. Let l(v) = -19*v. Calculate l(q(x)).\nAnswer: 19*x - 1520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 1 + 3)*(-3 + 3 + 1) - 4 + 5 - 2)*(-4 + 0*z + 6 - z).\nAnswer: 6*z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**8\/336 - w**5\/5 - 3*w**2. Find the third derivative of c(d) wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - 40. Let k = q + 49. Let x = k + 98. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*w + 16 = -162*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 262156, 262158, 262160, 262162?\n\"Answer: 2*a + 262154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114439343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (14 - 2) + -19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/93 (b) 0 (c) 1.1 (d) 0.332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -361*a**4 + 28*a + 40*a**3 + 3 + a**2 - 38*a**3 + 360*a**4 in the form o*a**3 + h*a + c + j*a**4 + b*a**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 20\/8*2. Suppose -j*y = 2*s - 3 - 5, -2 = -s - 4*y. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 3*c - 3*f, 1339*c + 101 = 1334*c - 3*f for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 + 1)*(-2*y**2 - y**2 + 2*y**2)*((-4 - 1 + 3)*(2*y + 0*y + 0*y) - 2*y - 1 + 1) in the form x + k*y**2 + j*y**3 + b*y and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*u - 41*u + 37*u + 1042 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3082*z - 452*z + 554356 = -906*z - 2910*z for z.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18683 is divided by 353.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27140507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 7:19 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8017830?\nAnswer: 2, 3, 5, 89087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596 + 602 = 142*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 + 1101 - 1101 - 3*s**2 to the form c + q*s + j*s**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 greater than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -104. Let d = -32 + g. Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57 - 0.4831?\nAnswer: -2.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1 + -6 + 8. Suppose 4*p = -4, 0*y - 2*y - 4*p = 0. Let k be y\/((-3)\/(-33) - f). What is the greatest common factor of 242 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -35*v - 552. Let w be m(-16). Calculate the greatest common factor of w and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + (-94)\/(-3). Suppose 5*p = -3 - d. Suppose -35 = -7*j - 56. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 4*r**6\/5 + 7*r**5\/5 + r**4\/3 + 63*r. Solve w(i) = 0 for i.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.5. Let t be (-10)\/(-3) - (4 + -1). Which is the smallest value? (a) -0.4 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2996434639 and 0.05.\nAnswer: -2996434638.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ee (base 15) in base 7?\nAnswer: -6362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -51*p - 23. Suppose -4 = -2*f - 12. What is the hundreds digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1397 - 2703\/2. What is the common denominator of -41\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 69*o.\nAnswer: 3*o*(o - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*1*(2 - -29)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 257203 and 10?\nAnswer: 2572030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (30 + -24)) + -24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/(24\/30*75\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 4. Let m be l(0). Suppose 4*r - 6 = -f, -6*f = -4*f - m*r + 24. Let t(h) = h**2 + 4*h - 7. Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 18075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -2)\/(((-540)\/(-504))\/((-3)\/(-21)))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2045 (base 9) to base 13\nAnswer: 8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 11 + -29 + 13 + -4 - -23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -28*c. Let k = -32 + 34. Let a(u) = -k*u - u + 6*u - 2*u. Give h(a(r)).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 120*r**3 - 222*r**2 - 28*r - 6. Give l(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -r + 12, 2*g - 4*r + 3 = -3. Suppose -277 = -4*k - 3*q, -3*k + 68 = -g*q - 124. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * 6.1.\nAnswer: -213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 7\/2, -3.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9) - -2)*((-222540)\/3270 + 68)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (-5*-1*sqrt(147) - (sqrt(147) + 1 + 2)) + -5*(1 + sqrt(147)) + -4 + 3)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -312*n - 10. Let y(m) = 125*m + 4. Let f(j) = -5*s(j) - 12*y(j). Suppose 5*g - 11 + 1 = 0. What are the prime factors of f(g)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*c = c + 4, 2*r = -3*c + 34. Suppose -r = -6*t - 8*t. What is the smallest value in t, 0.2, 1\/9, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1250 + -4?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54337, 108676, 163015, 217354?\n\"Answer: 54339*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2707017 to the nearest 1000.\nAnswer: 2707000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 645321*k**3 - 2*k + 646385*k**3.\nAnswer: 1064*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.7 + -15. Sort -0.5, h, 1 in ascending order.\nAnswer: -0.5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**3 + m**2 + 0*m**3 - m + 4*m**3 + 0*m**3 - 3. Let t(z) = -2 + 3*z - 5*z + z. Calculate -2*j(u) + 3*t(u).\nAnswer: 2*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 - 0, 2*k - 3*o + 32 = 0. Let r = -8 - k. Suppose u + 24 = r*u. Solve -9 = -5*p + u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 14*w + 10. Let d be x(-14). Let m be 6\/(-10) + 1290\/25. Suppose m = c - d. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 53, -7 in descending order.\nAnswer: 53, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11723 + 11723.08991. Let h = c + -0.09. What is h rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, v: 1, n: 1, j: 1, h: 2}. What is prob of sequence hn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*x + 2 - 12, 2*x - 2 = -q. Which is smaller: q or 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47990 - 33628. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 5*c**2 + 3*c. Give d(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - -75. Let m(a) = -95*a + p*a + 0*a**2 - a**2. Let n(r) be the third derivative of r**4\/12 + r**2. Give n(m(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**2 - 29*s - 16. Let h be g(-23). Suppose 89 = 3*y + 4*c, -4*y - 3*c = -h - 90. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4 + 8414*h**3 - 1738181*h**2 - 5273456*h - 3526860 = 0.\nAnswer: -2, -1, 215, 8202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -8. Let c = 8.1 - a. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -7*z + 17*b - 12*b, 10 = z + 2*b. What is the nearest to z in -1, 11, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 40 = -44*v. Let u(h) = -h**2 + 73 + 0*h**2 + 0*h**v - 76. Let m(a) = 2*a. Determine u(m(w)).\nAnswer: -4*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -20525?\nAnswer: -20531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k + 10 - 4*k - 4 + k. What is q(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/8 - 9*t**2. Let r(y) = -10*y. Determine r(p(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100663 is divided by 80.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-787083)\/(-671)*((-46)\/18 + 1)*-42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n**2 - 1. Let x be f(1). Suppose -5*q - 6 = 4*k, x*k - 4*k - 24 = -4*q. Is (-12)\/(2 + 1 + k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-2) - 27\/(-54). Put 11, 5, v in decreasing order.\nAnswer: 11, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2. Let i(a) = -7*a**2 + 47*a. Calculate i(h(c)).\nAnswer: -175*c**4 - 235*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - z**4 + 2*z**2 + 2*z**4 + 2*z**4 - 1 + 3 to q*z**4 + d*z**2 + r + g*z**3 + w*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 0 + sqrt(13) + (sqrt(13) + 0)**2 + (3*sqrt(208))**2)*2.\nAnswer: -7552 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a + 25. Let n be l(0). Let w(z) = -z + 8. Let f be w(4). Suppose f*k - k = 18. Solve 0 = b - k*b + n, -b + 5 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-6))\/((-8)\/12*1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20886, -41772, -62658, -83544?\nAnswer: -104430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 5*n**2 + 3*n + 3. Let g be q(-3). Let l = g + 29. Calculate the smallest common multiple of 6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -3*z**2 + 1\/60*z**6 + 0 + 0*z - 1\/3*z**3 + 1\/30*z**5 - 1\/12*z**4. Factor b(j).\nAnswer: 2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -6. Suppose z = p - 16. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a year?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/10 + 1596\/(-35). Let w = f + 32. Suppose 3 = 3*g, -2*m - 3*g - 17 = 4. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 86.00000005. Round w to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(15\/3 + -2). Let z(p) = 3 + p**2 - 1 + 2 - 1 - 4*p. Let l(m) = -2*m + 2. Let o(i) = v*z(i) + 5*l(i). Calculate o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 2, e: 1, p: 2}. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 4. Let l = 47 - 75. Let t = l + 25. What is h(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = 6*n - 753. Which is the biggest value? (a) 2 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 45 + 45. Let y = 2195 - 2192. Suppose l = -y*i + 450. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/285825240 and 25\/22112.\nAnswer: 1143300960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 - 7*m - 7. Let u(y) = -y - 1. Let g(r) = -4*a(r) + 28*u(r). Let w(l) = l. Determine g(w(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-49) - 10\/14. Is 1753 - 1\/f - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 minutes before 10:09 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 54*u**2 + 614*u + 609. What is w(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 - 4*l - 8. Let r be a(7). Let m = -3 - -1. What is the tens digit of -2*r*1\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1857, 10, 1, 0, 5, 111 in ascending order.\nAnswer: 0, 1, 5, 10, 111, 1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18688 times 0.3\nAnswer: 5606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -73, -161, -273, -403?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 42*k**2 + 11636*k + 71546. Determine d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -58*o + 8. Let x(i) = -i + 1. Determine d(v) - 5*x(v).\nAnswer: -53*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0865 in -1\/6, 3, 1\/326, -0.2?\nAnswer: 1\/326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**3 - 2*j**3 - j**3 + (0*j + 2*j**2 + 0*j)*(-j + 0*j - j) + j**2 - j**2 + 2*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:52 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*t - l + 3, 7*t = -5*t + 10*t - 0*t - 4*l + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-350))\/((-1)\/5). Let m(n) = 7*n + 47. Let l be m(-6). Which is the closest to z? (a) 1\/3 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 1. Let d be (12\/(9\/(-3)))\/((-2)\/1). Let h(g) = 1. Let u(q) = -2. Let a(f) = -h(f) - u(f). Let c(v) = d*a(v) - b(v). What is c(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16996783 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 45. Let g(w) = -w**3 + 31*w**2 - 30*w + 8. Let x be g(30). Let u be q(x). Solve 7*j - 10 - u = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.25 - 3. Let m = 0.05 + f. Let y = 1209 + -1208.9. Sort y, 0.2, m.\nAnswer: y, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 187*v + 218*v)*((-1 + v**2 + 1)*(0*v + 6*v - v) + 4*v**3 - 5*v + 5*v) to the form x*v**2 + b + y*v + r*v**4 + f*v**3 and give r.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - -7) - (-1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 6*b**2 - 8*b + 6. What is d(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15124?\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 15) to base 3\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 1 + 89*c - 88*c - 5*c**3 + 0*c**3 in the form m*c**3 + j*c + q + r*c**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {t: 1, b: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -69752 times -2.339?\nAnswer: 163149.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 11*z**2 - 3*z - 6. List the prime factors of p(-10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222.1 - 238. Let q = 12.9 + d. Let y = 15 + -13. What is the nearest to y in 3, q, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -132. Let j(c) = -31 + 16 + 12 - n*c. Give j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/392991 and -55\/2828.\nAnswer: 11003748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54150812 - 54150812 - 8*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 45*v - 219 = 531 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4228*x - 6073*x + 10172*x + x**3.\nAnswer: x**3 - 129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 5\/6*y**6 + 0*y**3 + 0*y**4 + 0*y**5 - 22 + 1\/2*y**2 + 0*y. Find the second derivative of t(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 not equal to 891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 14*p = 7. Solve -4*q = -5*b - 14, 3*b - b = 3*q - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/(q\/(q\/(q\/q**(1\/5)))))\/((q**(-1\/9)\/q)\/((q\/(q**0\/q*q*q)*q)\/q))*((q*q*q**(-2)*q)**(1\/11))**(-16\/3) assuming q is positive.\nAnswer: q**(-3551\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488639 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -33. Let u(k) = 4*k**2 - 110*k - 1300. Calculate the remainder when t is divided by u(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:26 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 96 - (-503 - -452)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k\/(k*k*k\/(k**1\/k)))\/k))\/k)\/k*k**7*k)**(-2\/3)\/(((k\/(k*k\/(k**1*k))*k)\/k)**(-3\/5))**(-7) assuming k is positive.\nAnswer: k**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 87. Let g be 128184938\/155 - (-3)\/(15\/y). What is g rounded to the nearest 10000?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 8*s + 3. Let l(g) = 2*g**2 + 4*g - 1. Let o(z) = 5*l(z) + 3*v(z). Suppose 3*p - 4*p = -3. Let k be o(p). Sort 4, 3, k in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -329, -367, -387, -383?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 996 and 36188?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*i - 5 + 9 = 0, 2*s = -2*i + 14. Suppose 5*g + 12 = -4*v, -5*v - 9 = 3*g + 6. Let h = 11 + g. What is the remainder when h is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -49623*q - 248700. Give z(-5).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z = -4*z - 206 - 142 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 - 206. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((4 - 4)\/5 + -3). Suppose 0*k = 2*k. Sort k, -4, l in increasing order.\nAnswer: -4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -27. Let u(w) = -w**3 + 10*w**2 + 151*w - 965. What is the remainder when u(6) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miz when three letters picked without replacement from imfzc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190125?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, d: 4, l: 1}. Give prob of sequence dss.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574422?\nAnswer: 2, 3, 95737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1208 and 43257272?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 115. Which is the closest to 0? (a) n (b) 5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a + 2*a)*(-4 - 2 + 4).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m - 1. Let o(t) = 15*t**2 - 13*t + 13. Suppose -249 = -3*d - u, 4*d + 4*u - 129 - 195 = 0. Let p = 162 - d. Calculate p*f(i) + 6*o(i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -6?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -0.2 (c) 1\/10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -0.13. Let b = -1.01 - z. Round b to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178919, -178841, -178763?\n\"Answer: 78*h - 178997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13 = w, 0 = w + 6*w - 14 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -505, -643, -869, -1183?\n\"Answer: -44*i**2 - 6*i - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27041260?\nAnswer: 2, 5, 709, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a - 8*a**2 + 0*a + 0 + 0 wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71635084 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3. Suppose k = 2*k - 1. Let b(o) = -93*o - 91*o + 280*o - 97*o. Determine k*j(f) - 2*b(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + (-1)\/2. Let c(r) = 0*r + p*r + r. Let d(l) = 5 - 5 - l. Determine c(d(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.1 + -90. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**2 - 22550*m - 25425125 = 0.\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 16*l**2 - 14*l + 3. Let f be v(15). Let g = -15 + f. Suppose -93 = -g*x + 6. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.7*-30.087.\nAnswer: -412.1919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -95960617511 - 41?\nAnswer: -95960617552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 - (-3 - (3 + -9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n)**(-2\/69))**(-4\/21) assuming n is positive.\nAnswer: n**(-8\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, i: 1, t: 2, e: 1, y: 1}. Give prob of sequence tec.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331031 (base 4) to base 15.\nAnswer: 38c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 14*c**3 + c**3 + 1 - 13*c**3 + 12*c**4 to the form o*c**2 + q*c**3 + t + r*c**4 + d*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -983 - -985. Solve c - 2*a = 5, -2*c - f*a - 3*a = 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(11) + sqrt(110)\/sqrt(90) - (-5 + sqrt(11)*2))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282482?\nAnswer: 2, 141241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 126*l - 129*l = 20, -4*g + 9*l = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 7*b - 1. Suppose 169*m + 48 = 185*m. Let n(s) = 5*s**2 - 8*s - 1. Give m*n(t) - 4*p(t).\nAnswer: -t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53485 = -52*b + 54*b + 3*p, b - 26744 = -p. List the prime factors of b.\nAnswer: 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w. Let b be 4*(9\/(-6) - -2). Let i(l) = 3 - 1 + 8*l - b*l**2 - l - 2*l**2. Suppose 41 = 6*t + 5. Calculate t*u(g) + i(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -5, -12, 59 in decreasing order.\nAnswer: 59, 5, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-3) - 0)*(-4872)\/232 is divided by 75.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 52. Let h be a(-10). Let f(l) = -l**3 - 8*l**2 + 8*l + 2. Let z be f(-9). Suppose -3 + z = 4*v. Solve u + v = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**4*n*o - d**3*n*o**3 + 2*d**3*n - 2*d**2*n + 27*d*n*o**2 - 2*d*o**3 wrt d?\nAnswer: 264*d*n*o - 6*n*o**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + 5 + 214 - 5. Let z = t + -69. What is the lowest common multiple of 27 and z?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 1, q: 1, a: 1, l: 6, f: 1, c: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2209*m**5 + 24487*m**4 + 72760*m**3 + 67912*m**2 + 5392*m + 112 = 0.\nAnswer: -7, -2, -2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2525219750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 121090 in decreasing order.\nAnswer: 121090, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2 - (-9)\/6). Let s = d + 13. Suppose g - m = 11, -3*g + 31 = m + 2. Calculate the highest common factor of s and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -n - 3, n = r + 2*r - 6. Let f be ((2619\/(-6))\/9)\/(n\/(-30)). Suppose -f = -3*u + d, 0 = -u - 2*d + 60 + 104. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -391\/154 - -33\/14. What is the closest to -1\/4 in -1\/3, l, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, -4239977 in ascending order.\nAnswer: -4239977, -4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(196)*-1)\/(2*sqrt(14)\/sqrt(2) + sqrt(7)) + 2 + (((sqrt(28) + sqrt(28)*1)*3)**2 - (sqrt(168)\/(sqrt(24)\/sqrt(4)) + sqrt(28))**2).\nAnswer: -2*sqrt(7) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 take away -1058.2267?\nAnswer: 1223.2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807808 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**2 - 30*z + 28. Let v be x(9). Solve -3*h - 10 = b, -2*b - 35 = -v*b + 3*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from xouexo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 3. Suppose 2*u - y*c - 9 = 0, -3*u - 4*c - 12 = 2*u. Suppose -7*m = -3*m - 12. Solve -j + 5*i + 5 = u, -i - m*i = 5*j + 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 14. Calculate i(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 51576*i + 1911050 = 0 for i.\nAnswer: -37, 25825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -45*w**4 + 35*w**2. Let n(f) = -46*f**4 + 36*f**2. Let j(p) = 3*n(p) - 4*v(p). What is the third derivative of j(i) wrt i?\nAnswer: 1008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 + 16*k**2 + 2851*k + 11344. Let l be o(-4). Find u such that 36\/5 + 17\/5*u**l + 373\/5*u**2 + 138\/5*u**3 + 348\/5*u = 0.\nAnswer: -3, -2, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -37*p - 7. Let r(b) = b + 1. Determine -n(w) - 6*r(w).\nAnswer: 31*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 + 164. Let v(q) = -19*q**2 - q - 1. What is v(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gogdjjjjog. What is prob of sequence dgg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 53*m**2 - 51*m - 91. Is u(-9) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v. Let u(w) = -w**3 + 11*w**2 - 22*w - 14. Let o(h) = h**2 + 2*h - 27. Let g be o(5). Let p be u(g). Let n(i) = -46*i. What is p*n(x) + 11*j(x)?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 8*g - 32*g)*(9 - 3 + 11).\nAnswer: -442*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5392 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4 + 5*s**3 - 22*s**2 - 56*s = 0.\nAnswer: -7, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49642 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166974 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: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 763167, 3052712, 6868641, 12210966, 19079699, 27474852, 37396437?\n\"Answer: 2*y**3 + 763180*y**2 - 9*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37049, 38500, 39951, 41402, 42853, 44304?\n\"Answer: 1451*x + 35598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19561957?\nAnswer: 19561957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 54 - 10 = 0. Suppose 5*n - 4*o - 8 = n, -n + 11 = -j*o. Is n at least -1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/60 - 8\/15. Let a = d + 5\/4. Which is greater: -0.04 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -0*b + b. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**2 + i**3 - 3*i**2 - 17 + 2 + 5 - i**2. What is o(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dkrayydee.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 27*x**3 - 57*x**2 - 29*x.\nAnswer: x*(x - 29)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 707.07 + -710. Let u = 0.07 - c. Sort u, -0.4, -1\/3 in descending order.\nAnswer: u, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651 and 123552?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 8, -10, -34, -64, -100?\n\"Answer: -3*k**2 - 3*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*h**5\/2 - 1173*h**4\/2 - 3021*h**3 - 2589*h**2 + 9027*h\/2 + 3375\/2 = 0. What is h?\nAnswer: -125, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:10 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-252))\/(4\/42*(5 + 1)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 5)\/((-1)\/(-2)). Let u be (-12)\/18 - w\/(-6). Solve -5 = -y + 2*z, -3*z - u = 3*y - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:24 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -28 + -1 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(((-28)\/40)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 4*z**2 - 3*z - 2. Let w be a(-4). Find the second derivative of 2*j**4 + w*j + 8*j - 12*j**4 + j**4 wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3421518 divided by 32?\nAnswer: 1710759\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 16*s + 12*s + 651*s**3.\nAnswer: 651*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 0 + 0*n**2 + 4\/3*n**3 + 37*n. Let a(k) = -2*k**2. Determine a(i(r)).\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 5*k**3 - 1345*k - 142*k**2 + 1345*k + 1.\nAnswer: 2*k**3 - 142*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18474, -36558, -54644, -72732, -90822?\nAnswer: -108914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 501914?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 473 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7098 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + 27. Let n = c + -73. What is the greatest common divisor of n and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6150000 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 + 370 = -199*y + 420 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 27760, 3, 34.\nAnswer: -1, 0, 3, 34, 27760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (22 - (-6 - -8 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1357, 1372, 1401, 1450, 1525, 1632, 1777?\n\"Answer: x**3 + x**2 + 5*x + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2. Let b be 1 + 1 - (-2 - -2). Let x(f) = -2 + b + f**2. Let q = -118 - -124. Determine q*x(s) - y(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + 20\/(-12))*-33 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/42 + 779\/1806. Let x be -48 - -55 - ((-29175)\/258)\/(-5). Let v = q - x. Find the common denominator of v and -1\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/34209315 and -115\/54.\nAnswer: 205255890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.2568 millilitres to litres.\nAnswer: 0.2092568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*w**2 + 46*w**2 + 43*w**2.\nAnswer: -77*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41957192.\nAnswer: 2, 1487, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1478.604cm?\nAnswer: 14.78604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812 = 21*s + 1791 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1386)\/27)\/(-11) + (-18)\/27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:48 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 - 10100000011010001111?\nAnswer: -10100000011001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.271 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 643894744*v\/5 + 51825055168853192\/5.\nAnswer: 2*(v + 160973686)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 8826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 27*x**3 - 394*x**2 + 977*x + 987. What is k(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.7653 - -3.8257. Round f to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 678679642 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, -4 in decreasing order.\nAnswer: 0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 352524797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -264, -10 in descending order.\nAnswer: 5, -10, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 0*g**3 - 21\/2*g**4 - g**2 - 23 + 158*g. What is the first derivative of r(x) wrt x?\nAnswer: -126*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 3*z**2 - 3*z - 1. Suppose -11*s - 5*s = 48. Give m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbkdfzbkzrdzzddbrzb. Give prob of sequence rdk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*r**3 + 4*r**2 - 4*r**2 - 58*r**3 - 61*r**3 - 58*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23121444 (base 5) in base 8?\nAnswer: 625605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 8 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:13 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 83\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 1. Let n = 10 - 6. Let r be o(n). Let f = -3 + r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 39. Let r be (135\/4)\/v + 4. Let o be (-1)\/4 + (-63)\/(-156). Which is the closest to -1? (a) 4 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-24))\/(x**16*x))**(2\/53) assuming x is positive.\nAnswer: x**(16\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-44)\/20 - -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581930 divided by -368.\nAnswer: -290965\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*m + 402, 3*n - 2*n + 5*m = 75. Calculate the remainder when n is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 28*b**2 - 33*b - 92. Calculate a(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -h + 22. What are the prime factors of h?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 - 6*a - 2. Let h(f) = -2*f + 4. Let s be h(5). Let n be o(s). Find the common denominator of n + ((-64)\/9 - -2) and -3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -1, -105, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 3*m + 7*m - 1 - 2*m. Calculate the remainder when u(4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3\/7 - 4906*z**2\/7 - 2456*z\/7 + 2454\/7 = 0.\nAnswer: -1, 1\/2, 1227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 18. Let i be 22\/(-99) - 1402\/s. Let q = -106 - i. What is the greatest common divisor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16)*11*164\/83886*93\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8092, 16240, 24396, 32566, 40756?\n\"Answer: h**3 - 2*h**2 + 8147*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 958854 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-13)*m**(-19)\/m assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 62. Let p(n) = -2*n - 1. Give p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 128312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 32. Suppose 2*k - 4*s - h = -k, s = -4*k + 15. Suppose v + k - 9 = 0. Solve -v*z - 4 = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11959 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*n = 5, -7*n + 4 = 5*q - 9*n. Solve i = 4*p + 4, 4*i = 4*p - q*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = 11. Suppose o = -4*o - g. Put -0.2, 2, o in decreasing order.\nAnswer: 2, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656890?\nAnswer: 2, 5, 223, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {n: 1, r: 1, b: 1, v: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 465279 plus 3.1?\nAnswer: 465282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855085 is divided by 2706?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 28575 - 28659 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 3979, 2\/3, -3, 1\/4, -15 in decreasing order.\nAnswer: 3979, 2\/3, 1\/4, -1\/12, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 8*t + 0*t)*(t - 3*t + 4*t)*((-5*t + 3*t + 0*t)*(1 - 3 + 4) - t - t + 0*t).\nAnswer: -84*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 8. Let b(l) = l + 1. What is -3*b(j) + m(j)?\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Let i(x) = -x**2 - 21*x + 11. Let r be i(-21). Suppose -5*a - 5 = -5*v + 10, a + 5 = 3*v. Solve 0 = -w*t - r - v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 265.999969. What is i rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 9*k**2 + 19*k - 34. Let o be g(7). Which is greater: o or -5\/47?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -411*f**3 + 3*f**2 - 4*f + 10. What are the prime factors of n(-3)?\nAnswer: 2, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.2, 5, 6\/11, -1\/6 in increasing order.\nAnswer: -0.2, -1\/6, 1\/4, 6\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15818259 to the nearest integer?\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184.392 and -2.\nAnswer: -368.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 8*o - 5. Calculate v(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68727530 + 6?\nAnswer: -68727523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 15. Let b(m) = -m - 15. Let j(p) = -7*b(p) - 6*h(p). Differentiate j(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1717 = -410. Let k = -290 + y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.74 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-18)*6*(969\/34)\/19\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2361 or -2360?\nAnswer: -2361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 114.9949. What is w rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4115*h**2 + 401*h**2 + 7171*h**2.\nAnswer: 11687*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v - 2*v**2 - 2*v)*(2 + 3 - 1)*(-3 + 1 + 1).\nAnswer: 8*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*n + 20, -9*k = -4*k - 4*n - 64. Let y be 18*(-4)\/k*-2. Which is greater: y or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/5, -0.015, -5, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 3*q + 2. Let n(s) = -4*s**2 + 3*s - 1. What is -4*n(v) - 3*y(v)?\nAnswer: v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -194 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-78)*-2*1*15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 500\/7 bigger than 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -550 + 550.5. Sort 0.02, o, 0 in increasing order.\nAnswer: 0, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344.3 + -362. Let w = z + -1.3. Let j = 19 + w. Is -2\/69 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-20*165\/(-1100)*((-18)\/5)\/(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let t(i) = -423687*i + 88. Let d(m) = -24211*m + 5. Let y(k) = 88*d(k) - 5*t(k). What is y(h(v))?\nAnswer: 24266*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 - 11*c**3\/6 - 7*c**2\/2 + 24*c. Let h be t(12). Solve 0 = 4*r + 5*z + 4, 5*r + h*z = -5 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 207.79 and 816398.94.\nAnswer: 816606.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 91 = -4*p, 0 = 21*m - 5*m - 4*p + 1524 for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 112, 172, 232, 292, 352?\n\"Answer: 60*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2388322471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 20. Let h(m) = -38*m + 238. What is the least common multiple of g and h(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 956 = -0*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167751 times 0.5?\nAnswer: -83875.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyb. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*f - 37, -6*f - 27 = 3*k - 3*f. Is 19 a factor of 1\/2 - (-2)\/(k\/(-227))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*h*u**3 - 6*h*u**2 - 15*h*u - 2029*h + 15*u**3 - 3*u**2 + 87*u - 194 with respect to h.\nAnswer: 12*u**3 - 6*u**2 - 15*u - 2029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26234 plus 8455656?\nAnswer: 8429422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3 + 48*i - 101*i + 73*i to the form q + a*i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r - 26 = 0. Which is greater: -12 or r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*z - 5*v + 28, -5*z = -4*v + 35. Find the common denominator of -3 + -5 - z - (-34)\/(-88) and -19\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 5*h - 1. Let j be w(4). Suppose -j*l - 5 = 1. Is 24 a factor of (47\/l - 0)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 1066086000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*v - 3 = -0*v, -6 = -2*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-24\/5)\/(u*u\/(u*u**(1\/21)*u))*(u*u**(-13))\/(u**(-32)*u) assuming u is positive.\nAnswer: u**(1496\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876900 is divided by 183.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -h + 58. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l**4 + l**3 + 1 - 32*l**4 + l**2 - 24*l**4 - 6*l in the form j*l**2 + k*l**4 + d*l**3 + h + i*l and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and 16212229725.98.\nAnswer: 16212229725.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -56. Let b be (6 - -1) + -2 - 1. Suppose b = -3*y - y. Is j < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4985\/8 - -623. Which is the biggest value? (a) 0.5 (b) 8 (c) k (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -835915.\nAnswer: -835915.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2496 divided by -6.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 2. Suppose -2*w = -f*d, 3*w - 8 = -3*d + 10. Suppose -52 = -4*b + 4*c, 3*c - 25 = -w*b + 14. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 - 52*m**2 - 48*m = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 8*z + 3 = 0. Let w(p) = 642*p + 5. List the prime factors of w(z).\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185441 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 1109*f**2 - 2220*f - 13. Give q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + 27.95. Let q = s + -28.482. Let p = 0.74 + q. Round p to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.221 + -0.12. Let p = -4.101 + m. Let z be 3\/3 - 3\/12. Which is the nearest to -1? (a) p (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 66 - 69 = -5*h + 4*k - k, -5*h = 5*k - 125 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 - 9*l + 4. Let o be f(8). Suppose 5*r - o = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32442*a*g**2*h - 2*a*g*h + 360*a*g + 2*a*h - 8*g**2*h - 2*g*h - 2*g - h wrt g?\nAnswer: 64884*a*h - 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/11 - 464*o\/11 + 11730\/11 = 0. What is o?\nAnswer: -255, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjijjijijjjjjjj. Give prob of sequence iii.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 495069269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -31*a - 291. Let f be c(-9). Let x(p) = p**2 + 15*p - 10. Give x(f).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 152*m + 3325. Calculate u(42).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 23296419*h**2 - 1025046792*h - 11275530684.\nAnswer: 3*(h - 7765517)*(h + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 103935164\/1230 + (-8)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(975\/30)*(3 - 1). Let -2\/13*o + l - 2\/13*o**2 = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/9*396\/176.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 11*c - 10. Let m be u(-10). Suppose -g = -6 - m. What is the third derivative of -p**2 + 2*p**6 - 5*p**2 + 2*p**g wrt p?\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 less than or equal to 1892\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1511 or -1550?\nAnswer: -1511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956505030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0205925 rounded to four dps?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/90 + (-1)\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.174028\nAnswer: -0.087014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbfbfbbbbb. What is prob of sequence bb?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {d: 1, j: 2, c: 2, n: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 507*d**4*l**2 - 4*d**4*l - 2*d*l - 90*d - 6*l**2 wrt d.\nAnswer: 6084*d**2*l**2 - 48*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016033553 rounded to six decimal places?\nAnswer: 0.001603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + j - 7. Give a(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -129\/8, -1\/17, -2, -0.4, -3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 6 (c) -0.11 (d) -1 (e) 0.1015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 0.03, 0.2, 3\/7, 2, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 30 - 20, 0 = -k + q - 18. Let y(d) = -2*d**3 + 9*d**2 + 2. Let r(p) = p**3 - 4*p**2 - 1. Give k*r(z) - 6*y(z).\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31047.78 months to centuries.\nAnswer: 25.87315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6292621.\nAnswer: 6292621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118322743?\nAnswer: 37, 2711, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -566470*a**5 + 323406*a + 1.\nAnswer: -11329400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2, 0, 0.4, 2494, -0.4 in increasing order.\nAnswer: -25, -0.4, 0, 0.4, 2, 2494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {h: 1, q: 1, g: 1, y: 1, i: 2, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*1)\/sqrt(12) - sqrt(7) - sqrt(343)*1)**2 + sqrt(252) + sqrt(7) + (sqrt(112) - -1*sqrt(112))**2 + -2.\nAnswer: 7*sqrt(7) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2. Let v(z) = 56*z - 14. Let y = -182 - -185. Let t(l) = 11*l - 3. Let w(o) = y*v(o) - 14*t(o). Determine w(k(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9514650521.099999844 + 9514651175.1. Let w = 654 - m. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -988*i**4 - 9879*i**3 - 32594*i**2 - 35535*i + 36 = 0?\nAnswer: -4, -3, 1\/988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let i(l) = 7*l. Let o(s) = 3*s. Let n(d) = -6*i(d) + 15*o(d). Calculate w(n(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5319, 5316, 5319, 5334, 5367?\nAnswer: 5424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(77)*-1 - sqrt(77)) + ((sqrt(77) - -4*sqrt(77)) + sqrt(77))*2)\/(sqrt(704)*4 - sqrt(11) - (sqrt(11) + (sqrt(110)*-3)\/sqrt(10))) + -3)**2.\nAnswer: -34*sqrt(7)\/11 + 11824\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 3*u**3 - 2*u**3 + (-25*u**2 + 4*u**2 + 2*u**2)*(5*u - 3*u + 0*u) + 2*u**3 - u**3 - 2*u**3 + 3.\nAnswer: -38*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbffbbfbbbfobfbffbo. Give prob of sequence oo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*i - 2*f = 204*i - 5697, -4*i + 4544 = 5*f. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 118. Let q be a(-30). Suppose i + q*u + 7 = 0, -7*u + 3*u - 32 = -4*i. Solve i*b + 8 + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) + (-100)\/(-40). Sort j, -3, -5, -1, 1 in descending order.\nAnswer: j, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22202201 - 10121?\nAnswer: -22220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 52. Let c be h(15). Calculate the highest common factor of 57 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-6)\/(-72) + 3\/(-9)). What is the greatest common divisor of 144 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**6\/33 - 6*d**5\/55 + 2*d**4\/11 + 32*d**3\/33 - 32*d\/11 - 41. Suppose w(r) = 0. What is r?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 11*d**2 + 8*d + 6. Suppose 4*u = 6*u - 6. Let b(c) = -1 - 4*c**2 + u - 2*c**3 + 0 + 3*c. Suppose h - 6*h = 15. Determine h*o(r) + 8*b(r).\nAnswer: -r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*y**3 - 35*y**2 - 740*y + 300.\nAnswer: 5*(y - 6)*(y + 5)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1417)\/335 + 3\/15 + 452\/(-15255)*-135\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 359, 520, 663, 782?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s**2 + 73*s**2 - 1450*s + 1006*s**2 + 66*s**2.\nAnswer: 1112*s**2 - 1450*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937023.\nAnswer: 3, 17, 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 2. Does 9 divide (0 - q\/2)*3519\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1226)\/(-20229) - 596\/33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-3) + 5\/((-10)\/(-4)). Let h(q) = q**3 - 3*q**2 + 4*q - 2. Let c be h(2). Put m, c, -4 in decreasing order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12339? (a) 368 (b) 1 (c) -0.2 (d) -5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/64812 and 89\/27761140.\nAnswer: 83283420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 7*y**2 - 7. Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885528 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b0 + 35?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*5*-1*sqrt(80))\/(((-1*sqrt(288))\/sqrt(6))\/(sqrt(12) - (-2*sqrt(300) - sqrt(300)))).\nAnswer: 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -43. Let u = -27 + t. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/5 or 136247?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507482679?\nAnswer: 3, 11, 31, 496073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6427 + -6383. Let v = -4 + 6. Calculate the greatest common divisor of v and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 59.72. Let t = d + -0.08. Let v = t + 1.799965. What is v rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18340.6 + -14873. Round p to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001231384457 to 6 dps.\nAnswer: -0.001231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - j = 0. Suppose 5*y - y - 20 = j. Let q = 19 - 39\/2. Which is the nearest to q? (a) y (b) -1 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 16*d**2 - 17*d + 21. Let y(f) be the third derivative of -f**4\/8 + f**3 - 15*f**2. Calculate the least common multiple of y(-3) and l(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5022 + 1990556.1481.\nAnswer: 1985534.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4701257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105230, 102988, 100746, 98504, 96262, 94020?\n\"Answer: -2242*l + 107472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(891) + 3)**2 - (1 + sqrt(891) + -3)) + 3.\nAnswer: 153*sqrt(11) + 8033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 14427?\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*c + 15, 19*k = 15*k + c + 25. Suppose m = -3*l - 15, -m - 4*m + 25 = -k*l. Solve m = -r + 59 - 60 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.81 - -52.19. Let g = f - 58. Which is the smallest value? (a) g (b) -2 (c) 1\/7 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 41) + 1 - (-108 + 13)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 72 = -0*k. Suppose 5*z - 3*z + 5*j - k = 0, -3*z - 2*j = -47. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.385+0.019\nAnswer: -22.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48981*h**2 - 19903*h wrt h.\nAnswer: -97962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c. Suppose 0 = 9*d - 14*d + 10. Let m(g) = -21*g - d*g + 10*g. Give m(q(i)).\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -1. What is the remainder when 42 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14*2\/(-8))\/((270\/(-30))\/(-18))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 7792\/48403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6315218 divided by 902174\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -412*c - 448*c + 1014*c - 1236*c as p*c + l and give p.\nAnswer: -1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/3 - 49923*v**2 + v\/3 + 49923 = 0?\nAnswer: -149769, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 - 20.53. Let v = -19.99984 - j. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 19*j - 6. Determine r(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/91 + (-2)\/(-7). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 7:39 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 0*p**2 - 8588 + 8588 - 2*p**2. Let o(s) = 5*s. Let m(y) = y**2 + 6*y. Let n(c) = -5*m(c) + 6*o(c). Calculate u(n(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (11 - (-3 - 6) - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5808 and 753.\nAnswer: 1457808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 9*y - 6. Let g be l(-8). Suppose 9*v + g = 7*v. Is v >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 34 + 230 = 0. Suppose 0 = -l*a + 12*a - 20. What is the remainder when 107 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**3\/3 - 27*c**2 + 122*c - 16. Differentiate n(f) with respect to f.\nAnswer: 4*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -814984\/11, -1, 3 in increasing order.\nAnswer: -814984\/11, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12421, 12423, 12427, 12433, 12441, 12451, 12463?\n\"Answer: c**2 - c + 12421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*w + 55*w - 26*w + 3*w**2)*((-1 - w + 1)*(0*w - w + 0*w) - 3*w**2 + 4*w**2 - 5*w**2).\nAnswer: -9*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14773858 is divided by 981?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from oyot?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 11 + -1*(-4 + 3). Let c(l) be the second derivative of -27*l + 0 + 12*l**2 + 0*l**3 - 7\/6*l**b. Differentiate c(p) with respect to p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -3) + -57 + 72.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 + 5*l**4 - 20*l**2 + 16*l = 0. Calculate l.\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*a + 15, 10*a - 13*a = -4*n + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(10050\/(-67))*(732\/1)\/4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*g - 0. Suppose 4*r - 5*l = 89, 7*l = 2*r + 2*l - 57. Solve -2*k + 14 = 4*x - r, g*k = 4*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -21956.\nAnswer: -21955.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 + 737 - 1162 - 76*f + 212.\nAnswer: -76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + (-1479)\/(-255)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8888 + -5089. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-9*9\/(-243).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1 + 1. Let l = -8 + 10. Let i(g) = -g**2 + 3*g**l - 4*g**2 + g**2. Calculate i(d(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (25\/(-10))\/(1\/(-2)). Suppose -5*f + 3*o = 74, k*f - f + o = -66. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-27 + 25 - -62).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 566422777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 3*w + 4590464 = 146*w. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*d + 79 + 11*d - 15*d - 23*d wrt d?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 262*p + 33008. Give v(-126).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2173, 2141, 2083, 1993, 1865, 1693?\n\"Answer: -n**3 - 7*n**2 - 4*n + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + t**2 + 2*t - 6. Let g be b(-3). Let n = g - 29. Suppose -4*y + 16 + 1 = h, -y - 5*h = 10. Solve y*j + 4*i - n = 3*i, i = -3*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*i*v - 33*b**2*i + 586*b**2*v - 30*b**2 wrt v?\nAnswer: -b**2*i + 586*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o + 149. Let u be l(6). Suppose -u*m + 105 = 24*m. Solve -m*i = b - 11, 5*i = -5 + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3645*u - 3544*u = -1414 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3140425827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530 and 848.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(5 + (sqrt(6050) + sqrt(6050) + 0 + -4 - ((sqrt(6050) - (sqrt(6050) + (sqrt(6050) - (sqrt(6050) + -1) - sqrt(6050)))) + 2))))**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2 + 14*i - 6*i**2 - 7*i wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 2, m: 2}. What is prob of sequence uku?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3 + 4*h**2 - 251100*h - 77320.\nAnswer: -6*h**2 + 8*h - 251100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 27578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-315) + 0 - (0 + 183\/(-63)). Let a(d) be the third derivative of -2*d**2 + 0*d + 0 + 1\/12*d**4 + 0*d**m. Let n(f) = 2*f**2. Determine n(a(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 1405*u - 900. Give v(-156).\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37603028181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*j**2*k**3 + 29*j**2*k**2*u - j**2*k*u - 3*j**2*u - 3*k**3*u - 2*k**2*u wrt k.\nAnswer: -336*j**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 8*b)*(144 - 295 - 127 + 96 - 294).\nAnswer: 3808*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 6052643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 14 = 6*p. Suppose -8*f + 4*f = 5*a + 15, p*f + 27 = 2*a. Let z be (2 - 2)\/(3 + -1). Solve 5*h = -s + a, h + 3*s - 3 = -z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = 0, -2*l + 9*w + 34 = 4*w. Suppose 93 = -k + l. What is the common denominator of (-4 + 7)*41\/k and 35\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5 + 2916*a**4 - 43257*a**3 - 1831470*a**2 - 12138300*a - 10353000 = 0. What is a?\nAnswer: -986, -10, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*j = -2*d - 11, 5*j - 13 = -d. Let i be ((-4)\/(-10))\/(d\/75). Suppose -r + 14 = -16. What is the highest common divisor of r and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 1\/48*h**4 + 1\/840*h**7 + 44*h**2 - 1\/240*h**5 + 0*h + 0 - 1\/240*h**6 + 0*h**3. Determine l, given that z(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + -9e64?\nAnswer: -9e36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 - 729*c\/2 + 183762.\nAnswer: -3*(c - 249)*(c + 492)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10992\/36)\/((-6)\/(-9))?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= -48245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*c + 144*c + 129*c + 147*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 17 (c) -3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Suppose -4 = -5*q + h, 6*h + 16 = u*q + 2*h. Suppose q = -5*s + s + 88. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9005.\nAnswer: 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (18 - (42 + -42)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5917 - -5922. Let x(g) be the second derivative of 0 + 40\/27*g**3 - p*g + 17\/108*g**4 + 1\/180*g**5 + 32\/9*g**2. Factor x(j).\nAnswer: (j + 1)*(j + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*v + 68*v + 17*v + 3 - 3.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/9 (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -2\/3 (c) -7 (d) 5 (e) -2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 2*g + 8. Let l be u(-2). Let y be -6*(44\/6)\/(l - 1). Which is greater: 43 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167082 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 4)*(-w**2 - 4*w**2 + 3*w**2) - 23*w**2 - 16*w**2 + w**2)*(-4*w - 3*w - 7*w).\nAnswer: 504*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 4)*(-3*j - j + 2*j)*(-1 + 12 - 3) in the form o + t*j and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5, -1 = 2*s + 4*q - 5. Suppose 0*h = -h - y + 135, 2*y + 546 = s*h. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**24*q)\/(q\/q**(-13))*q**(-2\/11)\/((q**17*q)\/q) assuming q is positive.\nAnswer: q**(-585\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 22*c**2 - 921*c - 2128. Give p(44).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 807 + 1?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 4*m - 4*m)*(2 - 7 + 3) + (-1 + 0 + 0)*(0*m - 3*m - 4*m))*(70 - 38 + 25)*(m**2 - 3*m**2 + 0*m**2)*(6 - 1 - 4).\nAnswer: -1026*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (17688\/(-18))\/(-67)*15*(-3)\/(-12)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + -28. Let p = f - -68. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-2))\/3*((-2940)\/(-90) + -34)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18\/11, 0.01, -3, 19, 2\/19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 1500 + 1549 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 5*l**8\/336 - 13*l**6\/12 - 99*l**4\/2 - 1145*l**2. What is the second derivative of v(f) wrt f?\nAnswer: 100*f**3 - 780*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 3*u + 2. Let l be i(-3). Let q be 28\/(-11) + (31 - (-7370)\/(-242)). Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**3 + 237*t**3 - 5*t - 68*t**3 + 13*t - 12*t**3 - 65*t**3.\nAnswer: 76*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b + 4. Let v(r) = -r - r + 2 - 1. Let x = -996 + 569. Let y = 429 + x. Calculate y*p(k) - 11*v(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*t**4 + 2004*t**3 - 35820*t**2 + 7084*t = 0. Calculate t.\nAnswer: 0, 1\/5, 23, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 1 + i**2 - 47*i**3 + i + 4*i**2 - 3*i**2. Let j be f(-2). Suppose -2*l - x + 377 = 0, 0 = 5*l - 4*x - j - 590. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2 - 18. Suppose n*u = 4 + 6. Let i be ((80\/(-35))\/2)\/((-3)\/21). Solve 0 = -u*b - 0*b + i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -3*j - 4*m - 133, 3*m = 4*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024 - 1024 + 2*m + 4*m**3 + 2048 - 2*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 11)\/(3 - 26\/12). Let o(k) = -2*k + 20. Let l be o(i). Let w be 3\/(-21)*(-1 + 0). Which is the biggest value? (a) w (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 314\/97 + -5772\/1843. Let v = -0.3 - 0.4. Let k = v + 0.4. Which is the biggest value? (a) s (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - n - n**2 + 6 - 8*n. Calculate the remainder when 9 is divided by x(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3459 + 0.2459. Which is the nearest to x? (a) -0.3 (b) -4 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:45 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = 10. Suppose 3*x - 21 = 54. Calculate the greatest common divisor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2923 or 13?\nAnswer: 2923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 10. Sort 2\/5, v, -0.4 in descending order.\nAnswer: 2\/5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33546 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0.62 in increasing order.\nAnswer: -2, 0.62, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)\/c*c**2)\/(c**(-4)\/c*c*(((c\/c**(-3))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2523 = -4*i + 5*i, -5*g + 3144 = -2*i. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 0*r - 3*r + r. Let a = -64 + 77. Let v(j) = 6*j**2 - 21*j**2 + a*j**2. Give c(v(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 8*v + 3. Let y be d(7). Let r = -27\/4 + 6. Let s = -1150 - -1143. Which is the closest to s? (a) -5 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1 - 30\/(-20))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*k + m, 2*k + m - 25 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-76)*2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 459262185 divided by 1634385\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Suppose -4*b - r = -129, -g*b - 4*r = -0*r - 164. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p - 4*p + 0*p. Let k(m) be the second derivative of m**4\/4 - 2*m. Calculate b(k(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/(m*(m*m\/m**9*m)\/m))\/(m**(2\/3)*m\/(m*(m**4*m)\/m)) assuming m is positive.\nAnswer: m**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*d - k, 43*k + 21 = -2*d + 48*k. Solve 6*x - 8*x = -p - 3, 2*x = -d*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 2*h**2 + 4*h - 5. Let z be c(2). Suppose 2*u - 5*d - 32 = 0, 0*u = z*u + 4*d - 71. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/7 + 11*w**4\/7 + 187*w**3\/7 - 83*w**2\/7 - 1194*w\/7 + 1080\/7 = 0.\nAnswer: -9, -3, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 239 + 1b2?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 + 2. Let l be a(4). Suppose -10 + 0 = l*j. Let r(o) = -o**3 - 5*o**2 - 6. What is r(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**3 + 20*j**3 + 2*j - j**3 + 2 + 9*j**3 - 35 + 5*j**3.\nAnswer: 14*j**3 + 2*j - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25001 + -25002. Does 19\/206 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4)\/(168\/119))*(-2)\/26?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-18)*204\/(-1275)*-10.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -87*r + 414. Calculate the smallest common multiple of 220 and z(4).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174009*p**3 + 2*p**2 - 2140810*p?\nAnswer: 1044054*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3503*a - 126156. What is t(36)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39603751139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/3))\/(g\/(g*g**(-7\/4)*g)*g)*(g**1\/g)**(-34) assuming g is positive.\nAnswer: g**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4927 + -13.4807. Let x = -0.288 - b. Round x to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s - 9 + 1\/3*s**3 + 0*s**2. Let p(v) = v**2. Calculate p(k(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*s*t**4 + 3*s*t - 3*s + 285*t**4 - 19*t - 3 wrt t.\nAnswer: 1188*s*t**2 + 3420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*r + c, -3*r - 6504 = 2*c - 6478 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(77)\/(sqrt(7)*1).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*u + 0)*(-8317*u**3 - 12561*u**3 + 6562*u**3) in the form d*u**3 + h*u**2 + w*u**4 + o + l*u and give w.\nAnswer: -28632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5001953 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2568)\/(-176) + -15)\/(9\/(-24))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 4. Let z(i) = 11*i - 12. Let s(f) = -b(f) - z(f). Let k be s(-13). Let h = 3 - 0. Solve h*p = k + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*q + 250*q + 45068 = 333*q for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49612?\nAnswer: 2, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i - 6. Let w(u) = 20*u - 5. What is -6*p(y) + 7*w(y)?\nAnswer: 26*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + -1. Let q = f + 13. Let d be (-250)\/(-4) + 2\/q. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 2*q**2 + 25*q - 23. Let x be v(-6). Differentiate -2 + 7 + 10*c - 21*c - x with respect to c.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -2*c**2 + 0*c**3 + 0*c + 0 - 1\/30*c**5 - 1\/6*c**4. Let b(w) = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62491 divided by -11?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11914 + -11933. Which is the nearest to 0.1? (a) z (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5700)*-2 - (sqrt(912)*-2 - sqrt(57)))\/(6*sqrt(192)*-1*1).\nAnswer: 11*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**3 + 7*w**2 - 7*w - 6. Let k be 14*1\/2*1. Let z(a) = 9*a**3 - 6*a**2 + 6*a + 5. Give k*z(y) + 6*f(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s + 52. Calculate f(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (26 - 118) + 34.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 - 25*u**2 + 57*u - 252. Is x(18) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10304 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-26))\/(1899\/49374)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 8:24 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b = -440 - 316 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 n when three letters picked without replacement from {g: 2, f: 1, o: 1, z: 1, c: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.03, -312, -249 in decreasing order.\nAnswer: 3.03, -249, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660674677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 + 6*l**2 - 13*l - 26. Let g(f) = f**3 + f**2 - 2*f - 4. Let w(k) = 6*c(k) - 39*g(k). Factor w(s).\nAnswer: -3*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 65*v**9\/252 + v**5\/30 + 43*v**4\/24 + 100*v**2 - 2. Find the third derivative of l(a) wrt a.\nAnswer: 15600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:35 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a - 4*a + 2*a**2 + 4*a**3 + 0*a to u + h*a**2 + f*a + l*a**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 0*v + 0*v. Let l(s) be the third derivative of -s**2 + 1\/30*s**5 + 0*s + 0 + 0*s**4 + 0*s**3. Determine l(x(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = 12*p - 11*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9670 + ebc?\nAnswer: -86a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (58 + -19 + 3)) + (0 - -11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -179 or -180?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-10 - -7) + 4 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -21567\/4, 2, 1\/11, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2504, 5007, 7510, 10013, 12516?\nAnswer: 15019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - v = v + 50855, 0 = 4*s - v - 40681. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let f(r) = 3*r**2. Let p(q) = 6*q**2. Suppose -2*m + 6*o = o - 51, 4*o = -5*m + 45. Let s(d) = m*f(d) - 6*p(d). Give s(g(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = u + 5, -4*h - u = -3*u - 4. What is the second biggest value in h, 18, -2\/9, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.6713\nAnswer: -4.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -49*s**3 + 3*s**2 + 5*s + 15. Let p(z) = z**2 + z + 3. What is 5*p(r) - v(r)?\nAnswer: 49*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5\/3 - 115*y**4\/3 + 125*y**3\/3 + 115*y**2\/3 - 40*y = 0. What is y?\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -167, -4, -0.12, 1 in decreasing order.\nAnswer: 1, -0.1, -0.12, -2, -4, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:18 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47736, 47735, 47734, 47733, 47732?\n\"Answer: -t + 47737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 687*h = -691*h + 343, 0 = 2*x - 5*h + 404 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 25 - 9 = -2*l, 2*h - 12 = 4*l. Which is smaller: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(2 + 0) + -1. Let z = 11 - m. Let o(a) = a + a - z*a. Let g(k) = 4*k. Determine o(g(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose -y*k = -0*k. Suppose k = r - 31 + 5. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.881 + 0.081. Let q = 3.78 + y. Let n = q - -0.02. Put n, 1, 0 in increasing order.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -19*f - 1. Let j be ((-2)\/3)\/(56\/(-12) + 4). Let p(x) = 6 + 7*x**2 + 1 - 6 - j. Give p(r(v)).\nAnswer: 2527*v**2 + 266*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 567997253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-5) - (-8)\/(-20). Suppose -4*x + 109 = -5*i, -s*i - 57 = -3*x + x. Let o(g) = x*g - 7*g - 3 - 10*g. What is o(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/327841?\nAnswer: 6\/327841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955349555 to the nearest integer?\nAnswer: 44219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/329, -0.5, 1\/4 in decreasing order.\nAnswer: 0.3, 1\/4, -2\/329, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 896\/160 + (-9)\/15. Sort 2, -9, 4, x.\nAnswer: -9, 2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6713 and -66.\nAnswer: 6647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - x + 41 = 0, -4*w + 7*x + 23 = 2*x. Suppose -5*z + z = -n + 15, -n + w = -3*z. Which is the nearest to n? (a) -3 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 - 11*f + 7. Let i be j(7). Let n(p) = -2*p**2 + p**3 + p - 24 + i - 2*p**3. Give n(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxsvjcxcm. What is prob of picking 2 c and 1 x?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - 500*o**2 + 15488*o + 277056 = 0. Calculate o.\nAnswer: -148, -13, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(125)*-2*-5 + 2 - -2*(-1*sqrt(125) + 5))*6*5)**2.\nAnswer: 864000*sqrt(5) + 7329600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 184*s**2 - 524*s + 344.\nAnswer: -4*(s - 43)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 535 = -167. What is the lowest common multiple of 28 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 7*r**2 - 6*r. Suppose 2 = -3*n + 2*y, 1 - 5 = 5*n - 4*y. Let g(a) = 11*a - 15*a**2 + n*a**3 - 3*a**3 + 2*a - a**3. Give 6*g(u) + 13*m(u).\nAnswer: 2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 2.5. Let d = -78.1 + 75. Let n = d + k. What is the nearest to 1\/2 in 2\/9, -3, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -5 in ascending order.\nAnswer: -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 3\/5, 572, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = -5*u. Let i = u - -4. Suppose 2*o + 99 = 105. What is the greatest common factor of i and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 51 = -5*x. Which is the closest to 1? (a) x (b) 1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14624 + -14623.92913. What is t rounded to three dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158520 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/(-15))\/(-3 + (-40)\/(-12)). Solve -4*g = -4*g - k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(3\/10))\/z)\/((z\/(z\/(z\/z**3))*z*z*z*z)\/z))\/(z*z**(-1\/8)*z**(-2\/37)*z) assuming z is positive.\nAnswer: z**(-2251\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, x: 5, u: 2, k: 1, r: 1, l: 2}. What is prob of sequence xxnx?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.1831?\nAnswer: 0.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -11.9. Let g = -121\/42 + 19\/6. Put f, 5, g in descending order.\nAnswer: 5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -1 - sqrt(147))**2*4 + (sqrt(432) - (sqrt(432) - (sqrt(432) + -1)))**2 + -6*(sqrt(3) + -1)**2.\nAnswer: -12*sqrt(3) + 413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*157\/52 - 2 and (-4828)\/816 - (5 - 1)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 9bb?\nAnswer: 9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r + 26. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1131609 by 1131609.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376 (base 11) to base 14.\nAnswer: 23c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-8) + (-7 - -4)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + p**2 + 0*p**2 + (-14 - 2*p**2 + 14)*(-1 - 3 + 21).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (-68 + 89 + -22).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330.4 + -359. Round j to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 40*s - 39*s + 16, 4*l - 3*s - 33 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1076501371 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 0.5, -3.56?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -110. Solve -k*l - 5*u = 0, 8*l - 3*l - 4*u - 27 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, i: 5, a: 4}. What is prob of picking 1 e, 2 i, and 1 a?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 9*i + 5. Let u be p(8). Let w = 96 - u. Suppose 5*n - w = -2*n. Solve 4*o - 2 = n*r - 1, 3*r - 1 = 2*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2166 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:13 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*2*-3)\/sqrt(8) - (sqrt(891)*-1*-1)**2.\nAnswer: -891 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3\/3 - 3*w**2 - 7*w - 3. Suppose 4*y - 6 - 18 = 0. Calculate f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5 - s - 4*s**2 - 4*s - s**3 + 3*s. Let z be a(-4). Suppose -4*m = 16, z*i - 21 - 7 = 4*m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**4 - z)*(15*z + 58 - 30 - 46).\nAnswer: -30*z**5 + 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = -n + 4*u, 2*n + 14 = -5*u. Suppose q = -n + 12. Suppose 3*a + 0 = q. Solve -s = 2*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-9)\/(-36) - (-24)\/(-32)) + (-253)\/(-88)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219 and 9.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/(y\/y**(-9))*(y\/((y**(-6)*y*y*y)\/y))\/y*y**(-5)*y*y assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 + (-3 - -1 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18448, -36969, -55490, -74011?\nAnswer: -92532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 773670 and 44030?\nAnswer: 5415690","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 7. Give q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (24 - 25 - -19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307362*k + 6*k**2 - 1307362*k + 5.\nAnswer: 6*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 1. Suppose -3*h - 2*b = -h - 4, -2*h + b + 1 = 0. Let t(w) = -6*w - 5. Let a(k) = k + 1. Let l(y) = 5*a(y) + t(y). Calculate h*s(d) - 4*l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:07 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3012742177 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 28*v - 46, 16 = -733*v + 736*v - 5*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1809*t + 2054*t - 457*t - 725*t as x + w*t and give w.\nAnswer: 2681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1626, -3353, -5078, -6801?\n\"Answer: t**2 - 1730*t + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose -w + 3*u - 10 = 0, 12 = w - 2*w + 2*u. Let d be (-2)\/w + (-69)\/(-24). Which is the closest to d? (a) -3 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 258\/(-140) + ((-30)\/4)\/(-5). Let s = r + -11\/70. What is the biggest value in 0, s, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q + 13 + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 339300*x - 5756224500.\nAnswer: -5*(x - 33930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 59*r. Let l(g) = -6*g. Let t(o) = -10*l(o) - m(o). Let c(p) be the first derivative of 19*p**3\/3 - p**2 + 1. Calculate c(t(f)).\nAnswer: 19*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22613815 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9951 + -6605. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(16\/7)*x)*x*x**(-2\/61))\/((x\/(x\/(x\/(x**(-4)*x))*x)*x)\/x)**(2\/25) assuming x is positive.\nAnswer: x**(-5962\/10675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(-19)*21\/(-189).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91520 and 87664720?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 103940 = -51248. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 353 - 129. Suppose -62 - j = -11*i. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -4 (c) 2.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**3\/11 - 57768*j**2\/11 - 922752*j\/11.\nAnswer: -6*j*(j + 16)*(j + 9612)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91622 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (92 - 72)\/((-4)\/(-1)). Let t(k) = -k**3 + k**2 - k - 2. Let p be t(0). Let y be r\/p*9\/((-225)\/10). Solve 3*a - 14 - y = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 39*b**2 + 41*b + 76. Calculate v(20).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyii. Give prob of picking 1 y and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 + 3*i**4 + 0*i**4 + (1 - i**3 - 1)*(-1 + 1 + 2*i) + 13*i**4 + 14*i**4 + 0*i**4.\nAnswer: 23*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18466194 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukullu. What is prob of picking 2 u, 1 l, and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5470.149 millilitres to litres.\nAnswer: 5.470149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 < -479\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-28)*i)\/(i*i**(-16)*i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264953664\/257465 + 238700\/233. Let i = -5\/221 - a. Suppose -4*m = 20, -3*s + 3 = 2*m - 2. Is i less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 9.9.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 3, l: 1, h: 2}. Give prob of sequence bo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 10679419.\nAnswer: -5339709.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/11 (c) -8 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 195.9. Let j be 12 + -1 + (3 - 2)*-1. Suppose 0 = -8*z + 3*z + 5. Put z, d, j in decreasing order.\nAnswer: j, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.077157113 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003991 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/42 and -79\/340?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8176 or 8167?\nAnswer: 8167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.498 - -1.498. Which is the biggest value? (a) 0.12 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18686?\nAnswer: 2, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2084 times 28432\nAnswer: 59252288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 5. Let p(o) = -4*o**2 + 11*o - 10. Let j(d) = -11*d**2 + 32*d - 29. Let t(s) = -6*j(s) + 17*p(s). Let u(g) = 3*r(g) + 2*t(g). Give u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 4:08 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.8151 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 354*l - 10443.\nAnswer: -3*(l + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1752 and -103\/76152.\nAnswer: 5559096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 - 4*d + 48*d**2 + 97*d + 30*d - 8*d - 28*d + 3*d**3 = 0. What is d?\nAnswer: -13, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2 + 12*u**2 - 4 + 3. Suppose 2*k = 6*k - 8. What is the units digit of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98858.9 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -723006 (base 8) in base 7?\nAnswer: -2014054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/13 + 62*j**3\/13 - 398*j**2\/13 + 690*j\/13 = 0.\nAnswer: 0, 3, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020\/(-5)*(-2)\/(-24)*-7737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j - 6. Let i be (j\/5)\/(12\/(-15)). What is y in 1\/4*y**2 + i*y**3 + 0*y + 0 + 1\/4*y**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972345915 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94782384 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 115104 divided by 2398\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.045, -1, -25, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 49494144.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2*sqrt(448)*2)\/sqrt(8))\/(sqrt(128) - (sqrt(128) - (sqrt(128) - (sqrt(128) - sqrt(128)*1))*-1)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196.449 - -186.43. Let i = 10 + p. What is i rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23126 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3437*m**3 + 2525*m**3 - 472*m**3.\nAnswer: 5490*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.1 (b) -1 (c) 2\/17 (d) 17 (e) -3 (f) 22\/5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 4*d**2 - 2*d - 4. Calculate g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 9. Which is the biggest value? (a) u (b) 5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/42)\/(((-1406)\/(-57))\/37)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.951 + -91. Let v = o + 0.048895. What is v rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k**2 - 2*k + 1. Let l(y) = 88*y**2 + 18*y - 11. Let m(h) = l(h) + 6*u(h). Let q(d) = -21*d**2 - 13*d + 10. Give -13*m(x) - 6*q(x).\nAnswer: -4*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4623 + 5.\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005214 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-34)*g*g\/g**(2\/41)*(g*g**(-21)*g)\/(g*g**(5\/9)) assuming g is positive.\nAnswer: g**(6050\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-24) + 3 - (-3)\/3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 100 - 2 - 3*p)*(-1 - 6 - 12).\nAnswer: 57*p - 1710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**3 - 1\/960*i**6 - 1\/240*i**5 + 0*i**4 + 0*i - 1 + 2*i**2. Let t(c) be the second derivative of g(c). Factor t(y).\nAnswer: -y**2*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/5)\/((-4)\/20) - -6329?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45297\/81 - (-2)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3421 (base 9) to base 14\nAnswer: -cca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54654492, -54654497, -54654502, -54654507?\nAnswer: -54654512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59657 + -59612. Let l = 424 + -286. What is the remainder when l is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286 + 311 - 631)*(1 - 1 + 1)*(-7 - i**3 + 7).\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 36. Suppose -x*y - 182 = -11*y. Let n = -112 - y. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -456 and -1435879.\nAnswer: -1436335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53007050 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -39*z**2 - 1. Let i(q) = -2 + 5*q**2 - 29 + 8 + 23. Determine d(i(p)).\nAnswer: -975*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*z = -62, 2*z - 101 = -2*m + 47. Suppose 798 = 4*r + 126. What is the greatest common divisor of m and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6, p: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 7*i + 7. Let p be b(-4). Let k(x) = -4*x - 8. Let w be k(p). Suppose -w*r - 75 = -17*r. What is the remainder when 29 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138346723*f**2*h**3 + 9738*f*h**3 + 6764 wrt f?\nAnswer: -276693446*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5101*k + 2440*k**3 + 10197*k - 5096*k)*(0*k - 5*k + 2*k) as c*k**2 + i + t*k**4 + z*k**3 + q*k and give t.\nAnswer: -7320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.02, -5, -5\/4 in descending order.\nAnswer: 0.5, -0.02, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 1, 7, 17, 31, 49?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 53 = 6*n. Calculate the greatest common divisor of n and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/657 or 1?\nAnswer: -5\/657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -123781320 to the nearest 100000.\nAnswer: -123800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.13 + 1.53. Which is the biggest value? (a) 2\/19 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97290956 >= -97290952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let c(v) = 150946*v - 3. Determine c(g(w)).\nAnswer: 301892*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.101 - 17.101. Which is smaller: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162154066 to the power of 1\/2, to the nearest integer?\nAnswer: 12734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfww when four letters picked without replacement from {a: 4, w: 3, f: 6}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4 - 90*h - 159*h - 615*h - 28. Let i be j(-16). What is i rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23049600 is divided by 32881?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 24620638.\nAnswer: 4\/12310319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from uduvvcdcccdducd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0815745203 take away 1?\nAnswer: -1.0815745203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -71. Let k be y*(-3 + 373\/4). Let m = 648 + k. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18754197 is divided by 20474.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06793 to 3 decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -c?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43410784 by -2.\nAnswer: -21705392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 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: How many hours are there in twenty-one eighths of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(-2*o**2 - o**2 + 2*o**2) - 4*o - o**2 + 4*o + (o - o + o)*(o - o - o) + 58*o**2 - 25*o**2 + 41*o**2.\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) 0 (c) -421 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a*a**(-1)))\/(a*a**(-2\/13)))\/(((a*a**(-2)*a)\/a)\/a*a*a**(-7)))**37 assuming a is positive.\nAnswer: a**(3922\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -382?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 846*s**2 - 13027*s - 27423737.\nAnswer: 1692*s - 13027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1446013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 5, 15, 3, 1379, -2 in descending order.\nAnswer: 1379, 15, 5, 3, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -49. Suppose 2*n + 4*d = n - 19, 2*n - 3*d - k = 0. Solve -2*w - n = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let y = -95 - -94. Let r be (y\/4)\/((-54)\/(-8) + -7). Let k(t) = 2*t. What is r*k(s) - 3*h(s)?\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(380\/(-48))*(-120)\/16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-4)*(-4)\/8. Suppose -v + 9 = 3*a, a - 3 = -0*a. Suppose 2*p + 1 = -u, -2*u - 2*p = -v*u. Is u less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efeezeyeyzezeezyze. Give prob of sequence fy.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*i - 0*i - 6, 2*l = i + 40. Let b(f) = 4*f**2 - 6*f + 14. Calculate the remainder when b(5) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 1. What are the prime factors of h(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62326897 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3657 - -6140. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-2)\/sqrt(6) - sqrt(3388)*2)\/(-1*(sqrt(16) + sqrt(144)))*5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57291)\/(-9) + -5 + (-4)\/6. What is the tens digit of ((16\/(-3))\/(-4))\/(20\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = -6. Let q be ((-10)\/2)\/(k\/6). Let w be (-2)\/q - 94\/(-30). Solve 0 = 2*x, -3*x - 2*x + w = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/(2\/(-6)). Let l be -3 + -3 + 4 + 2. Suppose l = -0*s + s + 1. Put 1, s, y in decreasing order.\nAnswer: 1, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/24812?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 10. Let k be (6*-2)\/(-4)*3. Let l(g) = -4*g - g + k - 22 + 4*g. Let w be l(-6). Determine z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 2022*t**2 - 638808*t - 4979520.\nAnswer: 3*(t - 910)*(t + 8)*(t + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*k. Let d(b) = -b - 23. Let a be d(k). Suppose n = -3*z + 8*z - 37, -5*n + 2*z = 116. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935375897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 729217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -43 (b) 51 (c) 4\/7 (d) -5 (e) -43.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*90\/(-864))\/((-2)\/(-36))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 37. Let j(n) be the second derivative of 1\/6*n**4 + n**p + 3*n - 2\/3*n**3 + 0. Factor j(l).\nAnswer: 2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -0*t + 4*t, f = -t + 2. Let u be t\/(0 - 1) - 8. Let q be (-3)\/5 - (-4)\/u. Is q greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, -5, -28\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1818, -5, 8, 4, -2, -17 in descending order.\nAnswer: 8, 4, -2, -5, -17, -1818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (8 - 0) - -11 - 9 - -6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -25) + -6 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9534 and 6138307.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + -14. Let g = u + 19.96. Let o = g + -0.26. What is the biggest value in 3, 2, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*u + 2)*(1 - 6 + 4) + 1575*u - 1569*u + 1 + 12 to the form v*u + p and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-45)*(-20)\/(-88).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 370702080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1. Let y(p) = -11*p + 3. What is -2*k(l) + y(l)?\nAnswer: -11*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42*(12\/9)\/2. Let b = 44 - p. Let h = 35 - -11. What is the remainder when h is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 3*a - 15, 132*t + 4*a = 136*t - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0. Let k(q) = 5*q + 8. Let p be k(-2). Which is the biggest value? (a) 0 (b) p (c) o (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*g - 287*g - 2 = -7*t, -3*g = -4*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0, -0.038?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32866*0.0081\nAnswer: 266.2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlll when four letters picked without replacement from {l: 3, j: 5, d: 5}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -949*k**2 + 78770*k - 353. Determine h(83).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 17. Let k be c(8). Find the common denominator of 61\/8 and (k\/4)\/(4 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 + -124. Suppose 5*a - 21 = 3*v + 9, 0 = -5*a - 4*v - 5. Suppose 4*q - 140 = -a*z + 111, -2*z = -4*q - 174. Which is greater: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) + (-290)\/(-116). Let t(g) = g**2 + 5*g + 2. Let i be t(0). Solve b + 6*h = i*h - 5, -o*b + 3*h = -18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/28 + (-77)\/(-4). Suppose n = 4*c, 0*t - 3*t - 17 = -4*c. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(12 - -495)*1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380 + 382. Let b be 0\/((-2)\/(-1 - -2)). Find the third derivative of 0*s**2 + b*s**4 - 3*s**4 + 3*s**u + 0*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1552 - -3792.4?\nAnswer: 3792.5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365.8 - -366. Which is the second biggest value? (a) 8 (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, q: 3}. Give prob of picking 2 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 + 76204*v\/3 - 5870904.\nAnswer: -4*(v - 18817)*(v - 234)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11784007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mafraarfaram. Give prob of picking 2 a and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147870 divided by -106.\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2145\/4*m**2 + 2139\/4 + 3\/4*m**3 + 4281\/4*m = 0.\nAnswer: -713, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 30*h**2 + h + 22. What is the remainder when 301 is divided by g(30)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Suppose 3*z - 2*z = 0. Suppose 3 = -g + s*x, -2*g - 5*x + 20 + z = 0. Solve 2*f - g = 4*f - 3*r, 2*r = f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -x + 2751531, -t - 3*t = 3*x - 8254558. Suppose -3*v - 1058474 = x. What is v rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + 2 + -5 - ((-3 + 1*sqrt(99) - sqrt(99)) + sqrt(99)))**2 - (-2*-1*sqrt(99) + sqrt(99) + -5)) + -1.\nAnswer: -9*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 3. Let z(y) = -4*y + 3. Give 2*g(r) - 3*z(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4\/3*s**2 + 4\/3*s**3 + 0*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -96*f. Let k(t) = 60*t**2 - 35*t + 35. Let s(q) = 5*q**2 - 3*q + 3. Let l(u) = 3*k(u) - 35*s(u). Determine l(c(d)).\nAnswer: 46080*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0174054 to 4 decimal places.\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.7 minus 0.037?\nAnswer: -372.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275*v = 71620 + 53330 for v.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254591*o**6 + 1255*o**2 + 98*o wrt o.\nAnswer: -30550920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*a - a. Suppose -y = -a - 5. Let b = 7 + -4. Solve b*q - y = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*y + 540 = 0, -2*j - 2*y + y + 213 = 0. What is the remainder when j is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:38 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 48358, -729?\nAnswer: -729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = 4*x - 9, u - 4*x = 17. Calculate the highest common factor of 1573 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - u**2 - 1)*(-u**2 + 0*u**2 - u**2) - 10*u**4 + 9*u**4 - 20*u**4 + 0 - u**4 + 0)*(6*u - 3*u - 2*u).\nAnswer: -20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 21597823?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l**3 + 16*l**3 + 3*l**3 - l - 2*l**3 + l - 4*l**3 + l**3 + 2*l**3 + (l**2 - 3*l**2 + 0*l**2)*(3*l - 2*l + 0*l) + 9028*l**2 + 10*l**3 - 9028*l**2 - 1.\nAnswer: 39*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 - 63*u**2 - 233*u\/5 + 78\/5.\nAnswer: -(u + 1)*(u + 78)*(4*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - ((1 + sqrt(425))**2 - sqrt(425)))*-2 + 3 - (-3*(sqrt(153) + 0)**2 + 4).\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81171 is divided by 20289.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56967, -56955, -56951, -56961, -56991, -57047, -57135, -57261?\n\"Answer: -n**3 + 2*n**2 + 13*n - 56981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdjdq. What is prob of sequence jd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*u + 45, 4*n = -0*u - u - 42. Suppose -3*h - 2 = c + 17, -c + 2*h - 19 = 0. Let l = n - c. What is the lowest common multiple of 7 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4569512621.7 + -0.2\nAnswer: 4569512621.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/15 - 16\/120. What is the second smallest value in m, -0.4, 5, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*c - 15*c - 4 + 8*c**4 - 9*c**4 - c**3 + 12*c**2 - 8*c as k + l*c**4 + z*c + d*c**3 + x*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*o**5 + 5*o**3 + 10*o**2 + 4 wrt o?\nAnswer: -2040*o**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/30)\/((-10)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jza when three letters picked without replacement from {z: 1, a: 2, q: 1, j: 1, r: 1, g: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = r - 22898, 0 = -3*r + 4*b + 65021 + 3668. List the prime factors of r.\nAnswer: 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + (-161 - -137)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 188\/(-16))*4. Let p = 3 + y. What is the units digit of 2\/(-8)*0 + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/7 + (-8)\/28. Let i be ((-20)\/(-25))\/(3\/g). Let v be 2\/(-9)*(0 - -1). What is the smallest value in i, v, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 500 - 489. What is the third derivative of -170 - 2*z - y*z**2 - 154*z**4 + 42*z**3 - 42*z**3 + 170 wrt z?\nAnswer: -3696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -856, -2949, -7046, -13819, -23940, -38081, -56914?\nAnswer: -81111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/(((-210)\/910)\/((-120)\/7540))\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/66)\/((-263)\/(-2367))*(-8)\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*m**4)*(4 + 0 + 5) + (3*m**2 - m**2 + m**2)*(0*m**2 + 0*m**2 - m**2) in the form b*m + a*m**3 + y*m**4 + w + u*m**2 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 1266.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 4*w + 3. Let u be a(-2). Suppose 5*r - 4 = u. Let g(s) = 3*s**2 - 4*s + 3. Calculate g(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t = -57*t + 3*v + 175, -2*v - 354 = -2*t. What is the remainder when t is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5 - 2964*z**4 + 24*z**3 + 17816*z**2 + 23724*z + 8892 = 0.\nAnswer: -741, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -g, 17 = 4*d - 5*g - 19. Which is the closest to -2? (a) 0 (b) d (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76106293.2 milliseconds to weeks.\nAnswer: 0.125837125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 84957229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (0 + sqrt(605))**2)*1 - (sqrt(150)\/sqrt(5)*3)\/(sqrt(48)\/(sqrt(8) + sqrt(8) + sqrt(72) + sqrt(8) - sqrt(8))).\nAnswer: -15*sqrt(5) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209204, -418377, -627550, -836717, -1045872?\nAnswer: -1255009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21890 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + (-1 - 46) + 228 + -229.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 20818, 0.29, 0.4, -0.5, 11?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = 40. Let k be h\/(-4)*22\/1. Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 + 2*n**2 - 1. Let i(y) = 276*y**3 + 14*y**2 - 3*y - 7. Determine -7*b(m) + i(m).\nAnswer: 248*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003169888 to seven dps.\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 53056122*p - 53056122*p + 9787 in the form c*p + n*p**2 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -20251.40513 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5004732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 3*y**2 + 4*y**2 - 3*y**2 to the form c*y**2 + o*y + a and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4537, 9030, 13513, 17986?\n\"Answer: -5*z**2 + 4508*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.184 + -18.284. Which is smaller: -0.17876 or j?\nAnswer: -0.17876","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*w + 3*i - 8, 2*w = 3*i + 4. Let k(h) be the second derivative of 1\/48*h**4 + 0 - 1\/8*h**3 + 5*h + 0*h**w. Solve k(b) = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4677 = 6*x + 4693, 0 = -2*l + x + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-532) + 34\/(-21)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-8)*24\/(-9). Solve g - d = -0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 20 + 50 + 30 = 0. Let z(w) be the second derivative of 1\/48*w**3 - 1\/8*w**h + 12*w + 0 + 1\/96*w**4. Factor z(o).\nAnswer: (o - 1)*(o + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.24487 weeks to hours.\nAnswer: 12977.13816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*274776230.\nAnswer: 274776230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**3 - 6*g**3 - 3*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -2512?\nAnswer: 93\/1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = k, -8*k = -4*k - z + 6. Let s be (3\/2)\/(15995\/4004 - 4). Let v be 2\/8 + s\/(-104). Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135, -124, -99, -54, 17?\n\"Answer: a**3 + a**2 + a - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c)\/c*c**(-3))**(-26) assuming c is positive.\nAnswer: c**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*1\/3)\/(71\/213). Let v be 3*(-8)\/(-10)*150. Suppose -q*u + 9*u - v = 0. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8101975*n**6 - 1361650*n**2?\nAnswer: -972237000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 10, -d + 1 = -2*w. Let p = 0 + w. Let h be 0\/(-1*p*-1). Solve -3*b + 3*z + 15 = h, -b + 2 = b + 2*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(0 - 3) + -1. Suppose -j*i = 2*i - 20. What is the second derivative of -i*q**2 + q**4 + 4*q - 3*q + 4*q**2 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.44 + -0.04. Suppose 2*j = m + 4, -2*j + 6*j - m = 12. Sort z, -0.029, j in descending order.\nAnswer: j, z, -0.029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*f - 1563, f = -3*r + 652 - 256. Solve 384*y = f*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154325818 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825 = 2293*j - 2238*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -574*a + 580*a - 54 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 311.1, 0.6, -0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649780*q**2 + 3454 - 3454.\nAnswer: -1649780*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5431 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o. Let g be (1 - (-4)\/(-2))*-1. Let w(z) = 5*z**2 + 7*z - 6. Let a(p) = g*w(p) + 4*i(p). Give a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 87 (b) -0.65 (c) -1075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -203. Suppose 0 = x - 4, 5*z - 4*x = u + 41. Calculate the least common multiple of 7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 29 + 29 - c)*(3*c**2 + 0*c**2 + 0*c**2) in the form f*c**2 + w + m*c**3 + h*c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - s + 74954, 0 = -23*g + 18*g - 4*s + 74936. What are the prime factors of g?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 31 = 3*j + 19, 0 = -498*j + 499*j - f + 30 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -13301?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 4*b, -7*b + 11*b - 20 = 4*m. Solve -2*h + 0*h + 4 = -b*r, 2*r = 3*h - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8405 or -2?\nAnswer: -8405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 23*m - 7. Let w be s(-4). Suppose u - 2*u + w*l + 11571 = 0, -5*l = 4*u - 46384. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 384\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(72) + sqrt(72)*-2) + 5*3*sqrt(18))**2 + -4.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 220.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -133\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*w**3\/4 - 39082*w**2 - 45255219*w\/4 + 335241\/2 = 0. What is w?\nAnswer: -579, 2\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-21)*3\/(-4))\/(8\/16)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180366496 to the nearest integer?\nAnswer: 13430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*o - 23, 6*x = 4*o + 2*x - 20. Suppose m = 4*m - o. Let t = 19 - m. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrqqq. Give prob of sequence rqrq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 20*x - 75. Let z be (4\/8 - -5)\/((-2)\/4). Let u be i(z). Calculate the highest common factor of 36 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 + 5*j**2 + 4*j. Let y(v) = 4*v**2 + 5093*v**3 - 5*v**2 - v - 5094*v**3. Calculate s(q) + 5*y(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*g**2*h**2 + 12386*g**2*n + 9*g*h*n - g*n - g + 4653*h**2 wrt g.\nAnswer: -122*h**2 + 24772*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5004 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-3\/13)*u**(6\/5)*u**(-4)\/u)\/(u**(1\/4)*u*u\/(u**(3\/4)*u*u)*(u*(u\/(u\/u**(-1\/4)))\/u)**(-30)) assuming u is positive.\nAnswer: u**(-717\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6919)\/68)\/((3\/(-4))\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3295600 and 14800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, -26, -11, -422 in descending order.\nAnswer: 3, 0, -5, -11, -26, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s - 23*s - 16*s + 22 - 7*s. What is the hundreds digit of k(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1848\/(-36)*18\/(-4). Let z be 458\/14 - 2\/(-7). What is the greatest common divisor of z and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*b + 100160, 262*x = b + 263*x - 25028. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15305 + -137743\/9. Factor 2\/3*w**2 + 0 + 2\/3*w**3 + 2\/9*w**4 + j*w.\nAnswer: 2*w*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0013328*0.2\nAnswer: -0.00026656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 15. Let u be (1\/k)\/(2\/24). List the prime factors of 66\/8 - u\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m + 0*m + 4*m + (65*m - 133*m - 62*m)*(7 + 5 + 11) + 2*m + 4*m - 4*m as n + q*m and give q.\nAnswer: -2990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(1 + 9\/(-5)). Let u(m) = -m + 1. Suppose -2*n + 6 = 3*n - 2*i, 5*i = -3*n + 16. Let v(j) = 4*j - 3. Let k(f) = n*u(f) + v(f). Calculate k(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*n + 39*n - 248*n + 466*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 = -7. Let n = -1 + 1. Let q = -0.39 + -0.01. Which is the closest to r? (a) n (b) q (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, 78, -1169, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-117)\/(-13) - (-16177)\/2022. Is w at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -5, 0 in descending order.\nAnswer: 33, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 89*p - 1. Give b(18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -2*n**4\/3 - n**3 - 8*n**2 + 2. What is the first derivative of a(h) wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/42 + 1\/((-6)\/(-88)). Suppose m - 46 + q = 0. What is the highest common divisor of m and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9534172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -67\/3. Let t = -34.95 + 35. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1248.911009.\nAnswer: 1258.911009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 275*i + 2. Let o(m) = -183*m - 1. Let v(h) = -5*b(h) - 8*o(h). Let r be v(4). Is (r\/4)\/(2\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000 (base 2) in base 7?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*a + a + 49, -a + 73 = 3*t. What is the remainder when 93 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813023.1 grams in tonnes?\nAnswer: 0.8130231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 0 - (-3 + 1 - (1 - 8)). Let h(g) = 11*g + 19. Calculate h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*r + 7 = 0, -4*x + 11304 - 11314 = 2*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 80 - 1517*w.\nAnswer: -1517*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-2))\/((-57)\/(1539\/(-189))))\/((-108)\/(-3087)).\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q + 57. Calculate the remainder when 47 is divided by k(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/8 + 4641*p\/8 + 2319\/4.\nAnswer: 3*(p + 1)*(p + 1546)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 269304 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60020 in -0.1, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7 - 2 + 15 - 9 - 133*l. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2941 - -236.4941. Let o = i + -236. Sort 0.4, o, 2\/3 in increasing order.\nAnswer: o, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, k: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 2. Let o be s(3). What is the common denominator of 37\/(-36)*(-1 - o) and ((-1)\/(-2 - -1))\/((-18)\/(-873))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 75. Which is the closest to 1.4? (a) 2\/7 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134158285 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1002110121 (base 4) to base 2\nAnswer: 1000010010100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Let w be 4\/((-84)\/69) - 8\/(-28). Put b, w, 1 in ascending order.\nAnswer: w, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 15) to base 5\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21150 + -21151.39962. Let x = g + 1.4. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-2 + -8). Let i(j) = j**3 + 7*j**2 + 8*j + 7. Let s be i(-5). Let p = k + s. Solve -5*o + 16 = p*b, o - 11 = -5*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -670242*u + 2. Let h be y(-4). Suppose 0*v + v = h. Let r = v - 4280970. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -532.\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75048 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s + 436. What is the remainder when 431 is divided by n(33)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 92. Let y(s) be the first derivative of 0*s**5 + 1\/7*s**7 + 0*s + 0*s**a + 0*s**4 + 0*s**2 + 2\/3*s**3 + 2. Find the third derivative of y(x) wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -31 in ascending order.\nAnswer: -31, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + n = 42, -4*k + 7*k + 2*n = 39. Let l(d) = 8*d**2 + k*d**2 - 28*d**2. Let o(b) = -3*b. Determine l(o(x)).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2 = 283*h - 281*h, -2*h + 5*j - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410587 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4 + 190*g - 188*g + 9. Let l(k) = k**2. Give -2*l(x) + o(x).\nAnswer: -2*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -1, 1, 25, -4, 2.\nAnswer: -6, -4, -1, 1, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*m = 2*l + 18, 5*l + 3*m + 17 = 0. Let h = -1101 - -1105. Sort h, l, -2 in ascending order.\nAnswer: -2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**2. Let o(p) = -2*p**2 + 189 - 189. Determine o(s(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-12 - (-10 - (12 + (7 - (11 - -2)))))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 11*l**2 - 8*l + 5. Let p be y(-10). Let i be 3\/p - (-21)\/5. Let q be 3 - (-1 - 0) - 2. Solve 0 = -2*k - q*k - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h - 9 = 0. Suppose h*d + 3*v = 15, 0 = -4*d - 0*v - 2*v + 14. Suppose d*l = l + 15. Solve 4*m - 14 = 2*w, -5*m + 2*w + 0*w + l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2660700 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2 and -77\/73814.\nAnswer: 73814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + m + 2*m**2 + 2*m + 2*m to the form z*m + f + i*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1157 (c) -1 (d) -5 (e) 5 (f) -1.4 (g) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*w + 7784 = 0, 3*w = h + 6*w - 1948. Does 53 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -13\/6*q**4 - 121*q**2 - 1\/3*q**5 + 0 + 0*q**3 + 0*q + 1\/40*q**6. What is the second derivative of r(p) wrt p?\nAnswer: 18*p - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1792 and -42598.\nAnswer: -40806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let g be n(1). Let o be (-40)\/6*90\/(-120). Solve -g*l = -3*l + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 994 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 14 + 18. Let m(b) = 8 - 5 - b - 2*b - 3*b**2 + 2*b**y. Let n be m(-3). Solve -n*c = -1 - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -20*8 + -3. What is the remainder when (0 - 1)*(-3 + m + 2) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 21*i + 20. Let z be p(-20). Let v be z\/(4\/(-12)*3). Suppose 3*o - 2*o = 6. Solve -o = -2*k - v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3623361 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = 5*b + 119, -2*b + 4*j - 52 = 0. Let q be 37\/(-3) + (-8)\/b. Does 3 divide (-3)\/q - (-177)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 less than 10.784?\nAnswer: 10.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/7 - 1128*z - 320374\/7 = 0?\nAnswer: -3907, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153199330?\nAnswer: 2, 5, 15319933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-8)*m*m**(1\/3)*m)**(-26\/5) assuming m is positive.\nAnswer: m**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 1\/12*a**4 + 1\/2*a**3 + 0 - 1\/2*a**2 + 3*a. Let v(g) = g**2 - 8*g - 5. Let m be v(8). Determine w(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvsvvvssavvzvsvzs. Give prob of picking 2 z, 1 m, and 1 s.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/19458?\nAnswer: -5\/19458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2193.17 and 95.1.\nAnswer: -208570.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -763138?\nAnswer: 763140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -13)\/((1\/9)\/((-1)\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 30*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 12\/765259, 2\/3.\nAnswer: -0.4, -0.2, 12\/765259, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 75122561, 4 in ascending order.\nAnswer: 0, 4, 75122561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -720 - -720. What is the closest to -1 in -7, 1\/5, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 71, 153, 267, 413, 591?\n\"Answer: 16*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41080 + 50286 - 79792)*(-2*t + 4*t + 0*t).\nAnswer: 23148*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:16 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 8. Let d(r) = -9*r + 22. Let p(j) = 7*j - 20. Suppose 4*z - 4*o = -11 - 21, z = -o - 6. Let x(b) = z*p(b) - 6*d(b). Give -4*u(s) + 5*x(s).\nAnswer: s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -150. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11816190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 12*b**2 - 25*b - 35. Is 3 a factor of k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/6 - 3*o**3\/2 + 9*o. What is the second derivative of x(d) wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 17*y - 8. Let s be j(-15). Let b = -23 + s. Calculate the common denominator of 3\/(-108)*(251 + b) and 9\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 14*s**2 + 38*s - 18. Let i be n(-10). Suppose 4*l + 5*m - 45 - 54 = 0, -30 = -i*l + 4*m. What is the remainder when 144 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l = 77*l - 1302. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (1 + 0\/2). Let z(d) = 5*d**3 + d**2 + 6*d + 5. Let b(c) = -c**3 + c + 1. Let t(f) = 4*b(f) - z(f). Calculate t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 8:03 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*m - 146 = 0, 0 = 3*d + 13*m - 18*m - 112. Let o = 517 + -110. What is the remainder when o is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-f + 2 - 2) + (-2*f + 0*f + f)*(1 + 1 - 1) - 2 + 2 + 2*f + 21*f - 41*f + 40*f - f + 0 + 0 to the form w*f + x and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51399159?\nAnswer: 3, 7, 2447579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2)\/(-60)*-3. What is the nearest to 1 in -1\/2, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -15. Let a be ((-4)\/d)\/(1\/(-7)). Sort a, 0, 3.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, g: 1, n: 5, d: 1, j: 7, y: 2}. Give prob of sequence njj.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24898)\/211*(-1)\/2*-1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 3, y: 12}. Give prob of picking 2 b and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*w - 525 + 2066 + 834 = 0 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*s + 38, -b + 3*b = 2*s + 24. Let a = b + -14. Suppose -1075 = -a*d - 5*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*30\/5. Let x(j) = j**3 - 2*j**2 - 5*j - 3. Let s be x(h). Calculate the least common multiple of 5 and (2\/(-6))\/(1\/s).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128607526.\nAnswer: 2, 139, 263, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -134*w - 1698. Let l be g(-13). What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4224)\/240*180\/198?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-26)\/(-208)*-56.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6259111 litres?\nAnswer: 625.9111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 268918 + -268917.9634318. Let b = -0.0366 + l. What is b rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 6 - -11) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(130) + sqrt(130)*5)*2*4)\/(-6*1*sqrt(160)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165952441?\nAnswer: 3, 43, 16790329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 1. Let t = 11 - 19. Let f be 10\/(-4)*t\/(-10). Is 3 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 95?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -288, -685, -1240?\nAnswer: -1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 135. Put 4, m, -0.5, 2\/3 in ascending order.\nAnswer: -0.5, m, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43233710 by 8646742.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**9\/5040 - p**6\/240 + p**4\/12 + p. Let q(m) be the third derivative of j(m). What is the second derivative of q(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/106632 and 25\/11848.\nAnswer: 106632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1175 - 276. List the prime factors of v.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 - 4*d**2 + 6*d + 2. Let z(m) = -m**3 + m**2 - m - 1. What is -a(r) - 4*z(r)?\nAnswer: r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22860550 * -2\nAnswer: -45721100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4070 + 16 + -8 + -19. What is the greatest common factor of 861 and f?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2904\/4840)\/(282\/(-40)).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*n**2 - 35*n + 42*n**2 + 38*n**2 - 23*n as q + z*n + m*n**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 + 16525*t**3\/2 - 272115493*t**2\/4 - 3966545325*t - 57615841089.\nAnswer: -(t - 16554)**2*(t + 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 403*f**2 - 155*f. Let i(t) = 2*t**2 - t. Give -155*i(l) + x(l).\nAnswer: 93*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {k: 7, q: 1, f: 1, s: 3, w: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2144 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5739 is divided by 110.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5 in decreasing order.\nAnswer: 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dts when three letters picked without replacement from {z: 2, y: 6, d: 2, s: 2, l: 2, t: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 735 divided by -15\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11265 equal to -11267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.5506 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 1114*s\/3 + 33004.\nAnswer: 2*(s + 111)*(s + 446)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 2*t + 79 = 0, -5*l - 5*t = -65. Let a = l + -10. Suppose 55 - 190 = -a*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from {s: 3, r: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(80) + 0 + sqrt(80))*-5)**2 - -1*(-2 + (-1 + sqrt(80) + -5 - sqrt(80))).\nAnswer: 7996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5)*(-5*f + 2*f - 7*f) + (-2*f + 3*f - 3*f)*(4 + 2 - 4) - 2*f + 2*f + 2*f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 5.3. Let g be 2\/(3 - (-15)\/(-6)). Which is the smallest value? (a) t (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/99 and (130\/(-117))\/(117\/(-87) + 3)?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**2 - 9*m - 5. Let c(o) = 161*o**2 + 77*o + 42. Let n(d) = -5*c(d) - 42*x(d). Find the second derivative of n(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2291.67 rounded to the nearest ten?\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*c = -4*j, 3*j = -4*c. Solve 2*v + j = -6, 5 = g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6 - 12*z + 4*z + 9*z. Let v be (-6)\/(2\/(-6)*-2). Let m(j) = j + 2. Let b(n) = -4*n + 11. Let i(u) = -b(u) - m(u). What is v*c(f) + 4*i(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i**5\/5 - 235152*i**4\/5 - 2268858*i**3\/5 - 3337352*i**2\/5 - 1703304*i\/5 - 55616 = 0.\nAnswer: -4345, -8, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:19 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o + 25. Let l(u) = -6*u**2 - 10*u - 1. Let m(y) = 7*y**2 + 11*y. Let k(d) = 6*l(d) + 5*m(d). Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 10:09 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132 - 578049?\nAnswer: -581181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(153)*1 - sqrt(68)*3).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-2 + 2 + 1)*(3 - 3 + 5*p)*(-1 + 4 - 1).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02644740484 rounded to 5 decimal places?\nAnswer: 0.02645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 4*n**3 - 1 - 4.\nAnswer: 4*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*m + 1 + (-19*m + 15*m - 21*m)*(1 - 2 + 2) + (0*m + 0*m - m)*(13 + 3 + 14) to the form n + b*m and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k\/(k\/(k**(1\/2)\/k*k)*k))))\/(k\/(((k\/((k**(-5)\/k)\/k))\/k)\/k*k))*k**0\/k**(-3))\/(k**1*k**(-4\/5))**(-24) assuming k is positive.\nAnswer: k**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3165 + 4708. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038281 is divided by 1038257?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/95070 and -167\/30?\nAnswer: 95070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 2*h. What is the lowest common multiple of t(-11) and 7?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3699a (base 12) to base 4.\nAnswer: -102010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - q**2 + 13*q + 4*q**4 - 34*q - 2 - 2*q**2 + 20*q to the form v*q**3 + l*q**2 + d*q + t + k*q**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-24 - 11) - -23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -495 - -1487\/3. What is the third smallest value in k, -1\/4, -1\/225?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79, 3, -139, -347, -621, -961, -1367?\n\"Answer: -33*f**2 + 23*f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - ((2 - -2) + 7 + -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.55. Let o = -5912573\/145 + 40776. Let s = -1\/29 + o. Which is the second biggest value? (a) -4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -0.14, 1, 1\/3, 8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 6458, 1, 39 in decreasing order.\nAnswer: 6458, 39, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*j = -8, 2*j + 20 = 23*y - 105 + 27 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 589\/35?\nAnswer: 589\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/24)\/((-13)\/12). Let d be ((-28)\/(-10 - -38))\/(-1). Which is bigger: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 5*n + 5*n)*(-2 + 0 + 0) + (1 - 3 - 4)*(-2*n + 3*n + 3*n)*(-1 + 1 - n).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4547000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/2 (c) -16.9 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {v: 2, a: 5, t: 1, u: 3, y: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*c - 18434 = 9913, -5*u - 2*c = -28348. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.8 or 21?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 - 4*q**2 - 7*q - 5. Let m(i) = -i**3 + i**2 + i + 1. Suppose 220*s - 224*s = -676. Let z = s - 174. What is z*m(k) - t(k)?\nAnswer: k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -623 + 805. Calculate the greatest common factor of 247 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528130791.\nAnswer: 3, 58681199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 100 = m. Let r(g) = 6*g + 43. Let l be r(-5). Suppose -10 = n - l. Put n, -4, m in ascending order.\nAnswer: -4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-2))\/(-4) - -4 - -4. Let f be 2 - (-18)\/(-8) - (-1)\/i. Solve f = 5*x - 3 + 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -3 + (6 - -2). Suppose d*s - 3*t = 5*s - 39, -2*s + 32 = -4*t. What is the greatest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208*32\/7680*6*5\/4.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + (3 - 0) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352537514 and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose v + 5*u - 13 = f, v - 3*u + 3 = -0*u. Solve 0 = -v*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*c - 240, 3*c - 275 - 165 = 5*a. Suppose 5*r + 3*y = 13, r - y = -5*y + 6. List the prime factors of r + -1 - (a - -2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 46*p + 480. Let y be v(-8). Which is bigger: 72 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -952*q**4 + 2464*q**3 + 17761*q + 5 wrt q?\nAnswer: -11424*q**2 + 14784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 53. Let c = -1 - k. Suppose -2 = 4*n - 0*r + r, 5*n - 3*r = c. Solve 5*w + 10 = 5*p, n = w - 0*w - 5*p + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37825 + -264773\/7. Put 9, 2\/13, 0, n, 1 in ascending order.\nAnswer: 0, 2\/13, n, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1005 + -938. Sort 4, k, -8, 2\/5 in increasing order.\nAnswer: -8, 2\/5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-2)\/(72\/(-20))*(-1152)\/96).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h - 2*h**3 + 28*h + h**3 - 13*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72\/7 - 74\/7. What is the closest to 0.1 in w, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981196679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45475*j**2*u**3*y**2 - 33*j**2*u**2*y - 82*j**2*u*y**2 + j**2*u*y + 67*j**2*u - 16*j*u**3 wrt y.\nAnswer: 90950*j**2*u**3 - 164*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 - 2*l. Calculate i(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -21 + -6580 + 6529\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cszg when four letters picked without replacement from szmcsgcsss?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1004*g**2 + 12*g**3 + 4*g + 1002*g**2 + 3 + 0*g to the form z*g + f*g**3 + l*g**2 + y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10779 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u + 1. Suppose 9*a = 8*a - 1. Give o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (9 - 3 - (5 + (-6 - 5))) + -9.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 111. Suppose -4*f + 5 = -l - 44, g*l = 2*f - 28. Calculate the remainder when 56 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775802.\nAnswer: 2, 41, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -210521*n - 126. Let a be l(-6). What is a rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 30*v**3 - v**2 + 1. Let z be w(1). Suppose -2*b - 2*f + z = 0, -78 = -b - 4*b - 4*f. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3558)\/60 + (-2)\/(-4). Let w be (-4)\/(8\/114) - 2. Let y = u - w. Which is the biggest value? (a) -0.3 (b) 5\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 6*l**3 + 69 - 35.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6 - 63556166\/12416460. Let t = x - 3\/8695. What is the common denominator of t and 1\/166?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 8189*z + 114812. Calculate u(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**3 - 3*r - 1. Give w(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 63*z**3 - z. Let r be j(1). Let w = 7 - r. Let p = 87 + w. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 25 = 3*b, -t + 113*b - 110*b - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + r**3 - 3*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-46 - (-58 + -48))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z + 73 - 1\/2*z**2 - 1\/3*z**3. Let t(a) = -4*a**2 - 3*a - 3. Give 6*n(x) - 2*t(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25736?\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 0.05952.\nAnswer: 0.25952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1834 (c) 248 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 0*a)*(-5*a - a**3 + 5*a) - a**4 - a**4 + 3*a**4 + (4*a**4 - 2*a**4 - 6*a**4)*(-1 - 8 + 31).\nAnswer: -85*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3913034*-8.9\nAnswer: -34826002.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3568306, 7136590, 10704874, 14273158?\n\"Answer: 3568284*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/4 + (-1 - (-174)\/24). Solve -s = f*q + 19, -4*s - 2 = 4*q + 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2138.75 * 0.1.\nAnswer: -213.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-1 + 1 + -13)\/(-6 + 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h**3 - h**3 - h**4 + 28*h**3 + 2*h**2 - 3*h - 25 in the form f*h**3 + g + l*h + a*h**4 + y*h**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Let z(s) = -s + 7. Let t be z(m). Suppose -t*a + 3 + 81 = 0. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/365, -0.2, 6, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*y - 201*y - 62*y.\nAnswer: -542*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/329 and 86\/987.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 31, -4, -63, -152, -277, -444?\n\"Answer: -i**3 - 3*i**2 - i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 2*d**3 + 31412 - 62822 + 31408 - 29*d**4 in the form w + z*d**4 + j*d**3 + l*d + n*d**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36*6\/(-1071)*2\/(14\/(-49)*1)\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -831 (base 16) in base 15?\nAnswer: -94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001 (base 2) to base 3.\nAnswer: -222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.1. Let m = 30.51 + 0.49. Let x = -32 + m. What is the second biggest value in o, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, -43\/143, 3\/2, 126?\nAnswer: -43\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/404 and 43\/400?\nAnswer: 40400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let u be k(4). Suppose u*x - x - 24 = 0. What is the greatest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29957, -30556, -31553, -32948?\nAnswer: -34741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -6.97731.\nAnswer: -2.790924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/16)\/((-45)\/(-24))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 416*x.\nAnswer: 2*x*(x - 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 4*b**3 - b**2 - b - 110. Let t(w) = -w**2 + w + 1. Calculate 2*t(c) + x(c).\nAnswer: 10*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13005.531 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1688724 to four decimal places.\nAnswer: 3.1689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -3\/7, 0.05, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3620 and 1991?\nAnswer: 39820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 15 (b) 0.14 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((1\/1)\/1). Let m be -2*(n + (-6)\/7). Let j(p) = -p**3 + 2*p**2 + 4*p - 8. Let c be j(2). Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 7) to base 8\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2480 + 3748 = -6*r. Let n = 1038 + r. Solve n = 2*z - 12*z + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (655\/262)\/((-2)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let n(g) = 7*g**2. Let k(z) = 5*z**2. Let t(b) = 4*k(b) - 3*n(b). Calculate a(t(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24894\/6915*5\/(30\/(-4)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*g**3*q + 2*g**3 + g**2*q**2 + 388*q**2 wrt g?\nAnswer: -90*g**2*q + 6*g**2 + 2*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 4, c: 1, i: 1, y: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 1 + 2*n - 2*n**3 + 0*n + 2*n**2 as p*n + d*n**2 + u + w*n**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 3*r - 12, o - r + 1 = 0. Let t = 4307 + -4303. Which is the biggest value? (a) t (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(525))\/sqrt(7) - -1*sqrt(192).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27201366 and -23\/76710.\nAnswer: 136006830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-63)\/36). Which is the closest to -1\/3? (a) v (b) 4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13433770, -13433792, -13433814, -13433836, -13433858?\n\"Answer: -22*w - 13433748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feeweefeeqgfe. Give prob of picking 2 e and 1 g.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -108, 53770, -5 in descending order.\nAnswer: 53770, 1, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 4.7. Which is the third smallest value? (a) x (b) -4\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -706*f**2 - 691 + 691 + (-3*f - 3*f + 5*f)*(2*f - 5*f + 5*f) - 3*f + 3*f + 4*f**2.\nAnswer: -704*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(70)\/(sqrt(7)*1))\/(sqrt(4)\/(sqrt(2)*-1)) + (2*(sqrt(15) - sqrt(90)\/sqrt(6)) - sqrt(15))\/(sqrt(288)\/sqrt(6)))**2.\nAnswer: 3125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/27*9\/(-126)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*u - 558*u - 42300 = -933*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 13.9993?\nAnswer: 2.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195222967 is divided by 332?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/((-2320)\/200).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 334 = -3*w, -3*w + 5*k + 530 = -8*w. Let r = w + 128. What is the remainder when 66 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b - 2. Let q = 6 - 6. Suppose q = -b*g - 2*g + 1228. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one fifths of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 732\/7 - 105. Let r = -734881\/49590 - -2128\/145. Let g = 3\/38 - r. What is the second biggest value in 0, g, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-24)\/(-9) + (-8)\/12). Is 15 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**2 - 55*g + 626. Calculate c(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15582, 31166, 46750, 62334, 77918, 93502?\nAnswer: 109086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 482 + -480.786. Round n to 2 decimal places.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 792*p + 15 - 36 as a + s*p and give s.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*s**4 - 2024355*s**3 + 227845*s**2 + s - 1727?\nAnswer: -456*s - 12146130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 693\/2 + -347. What is the fourth smallest value in 2, a, -4, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 35. Suppose b - 42 = -0*b + k, k - 72 = -2*b. Calculate the remainder when b is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4002 - -45.\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000349975 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvxvvxx. What is prob of picking 2 v and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53659 is divided by 416.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397160*f**5 + 1521351*f**2 wrt f?\nAnswer: -23829600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4 + (-2)\/(-4). Let s = 4\/12627 - -62947\/593469. Is s < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-904)\/(-14) - (-3)\/7) + 1?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -292.139 + 292. Let r = o - -0.139. Sort 0.13, -3, r, 5 in descending order.\nAnswer: 5, 0.13, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 246814303?\nAnswer: -98725721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 1\/4 (c) -0.06 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4 + 2\/7*w**3 + 10\/7*w + 16\/7*w**2 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 - 0 - (-1623568)\/50800\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268761462.\nAnswer: 2, 7, 304911533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 - 2*c. Let d(i) be the first derivative of 2 + i**2 + 0 + 0. Calculate d(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, 2, -18, 78, -2, -4 in ascending order.\nAnswer: -18, -4, -2, -1, 2, 12, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + 4)*-2 + (-6*(1 + -1*sqrt(1088)))**2.\nAnswer: -600*sqrt(17) + 39198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.335956 rounded to 3 dps?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38561 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2 + 2 + (-10 - 1 - 3)*(3 - 3 - j) + 3 + j - 3.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shx when three letters picked without replacement from hcxhsxhh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 86*p**2 + 376*p + 7157. Give j(91).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 3*a**2 - 6*a**2)*(5 - 4 + 6).\nAnswer: -91*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276.929 centuries in decades?\nAnswer: 62769.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, 4 in ascending order.\nAnswer: -17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 478745 - -8?\nAnswer: 478754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 560063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 13*i + 44. Suppose -4 - 108 = -4*g. What is the least common multiple of n(-10) and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -298, -344, -410, -496, -602?\nAnswer: -728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 400 (b) 2 (c) 0 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2077182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -972 and -152261113.\nAnswer: -152262085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 14) to base 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 1 - (-332)\/8*84 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.059448264955 + 763\nAnswer: 762.940551735045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11751, -24196, -36641, -49086, -61531?\nAnswer: -73976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21.868. Let j = m - 0.13. What is j rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 988 - 666. Does 46 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 178*y. Let c(s) = -98932*s. Calculate r(c(m)).\nAnswer: -17609896*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2 - 2 + 2*a) - a - 3 + 3 - 5*a - 4*a - 5*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482718578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -114. Suppose g*h - 5450 = -942. Calculate the remainder when h is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 0.3, 17054.412?\nAnswer: 17054.412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9217.02*-134.\nAnswer: 1235080.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -413, -1461, -3201, -5633, -8757, -12573?\n\"Answer: -346*u**2 - 10*u - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Suppose d = 3*c - 8, 5*d + 3*c - 13 = d. Let h be d\/(-1) + 3\/1. Let s(r) = 5*r**h - 2*r**2 + 2*r**2 - r**2. Determine s(k(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1952334 = 17551*w - 259092 for w.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-304) - (-306)\/(-40) - -8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*q**2 - 7*q**2 - 13*q**2)*(7 - 5*q**3 - 7) - 35*q**4 + 35*q**4 - 48*q**5.\nAnswer: -93*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.8 less than -390?\nAnswer: -449.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j + 38. Suppose 2*a = 5*p - 0*a - 72, -9 = -p - 5*a. What is the least common multiple of w(-6) and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.9 + 62. Let k = y - 5.0999908. Round k to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151961881.\nAnswer: 229, 663589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (84\/(-18))\/((-3)\/((-27)\/(-2))).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a - 25 = 0. Suppose -z = -3*g + 8, -z + 24 = g + 4*z. Suppose 5*p - g*j + 2 = -1, -5*j = 4*p + 27. What is the nearest to -0.1 in 3, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*f + 4*f + 5*p, 12 = -3*p. What is the third derivative of 13*k**2 + 1288 + 50*k**f - 1288 wrt k?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2623986000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 76275 = 1850*b - 1847*b, -2*b + t + 50864 = 0. List the prime factors of b.\nAnswer: 59, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27150 and 3044850.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 10 = 4*w. Is (-501)\/w + 6\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqvvqvsvvbvvvvsbv. Give prob of sequence vsvv.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s + 4. Let q = -48 + 68. Suppose 0*i + q = -5*i. Let y be k(i). Solve y*l = 3*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38710065 + 5?\nAnswer: -38710060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(55)\/sqrt(5)) + (sqrt(192) + sqrt(192)*3)**2 + -5.\nAnswer: sqrt(3) + 3067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -121\/3. Suppose 0 = 2*x - 3*t + 29, -5*x - 5*t + 413 - 398 = 0. Which is the closest to -27? (a) 0.2 (b) x (c) u (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7390422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0, -130, 3.\nAnswer: -130, -32, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22409.8+0.5\nAnswer: -22409.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (33 + -14 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -4258?\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 218.2594.\nAnswer: 218.1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -247.745 + 0.4493014\nAnswer: -247.2956986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -25.4. Which is the closest to 0? (a) x (b) 2\/45 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 7*s - 144. Suppose 19*q - s = 10*q. Solve -2 = -2*n + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = 2*r, 0 = x + r - 22. Let v = x + 47. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*2\/6)\/(24\/36). Let m(b) = -9*b - 3. Let p be m(g). Suppose -4*k - 4*f - 226 = -p*k, -5*f + 413 = 4*k. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 115\/6*x**3 + 0*x - 2*x**2 - 31\/6*x**4 - 20. What is the first derivative of j(v) wrt v?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 86 = 5*a, 41*a - 1444 = 2*m - 1590 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + r**4 + r**2)*(-15 + 1 - 1)*(-3 + 4 + 1)*(0 + 0*r + r + 1).\nAnswer: -30*r**5 - 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.49 + 0.49. Let i = z - -19. Let c = i - -11. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -77*w**2 + 11*w - 1. Give a(-1).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*c + 1556, -5*g = c + 181 - 2119. Let o = 7 - 5. Suppose o*t = g + 126. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-15) + (-91)\/35 + 13 + -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a day in hours?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (34 - -6) + (11 - 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 1*sqrt(68)*-2)*6*-4)\/((sqrt(4) - sqrt(36)*1) + 5*1*sqrt(4)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Let s = -2 - -5. Let f = w - s. What is the second biggest value in f, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 2)*-11 + (6 - 9). Let f = o + 286. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b608b - a?\nAnswer: 1b6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + 2*f + 4. What is v(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-4 - -6 - (11 - 10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 63\/4, -289, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 15.7. Is -3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/50*(-10)\/(-6). Suppose -2*j = 2*v + j - 21, -3*j + 27 = 4*v. Sort s, v, 0.5 in descending order.\nAnswer: v, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 1098, 1648, 2198?\nAnswer: 2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -7\/158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Let t(g) = -2*g - 9. Let q be t(z). Let r be -3 + 6 - q\/1. Solve -r*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 3*y**2 - 3*y. Let d be z(-3). Let c(f) = -d - 8*f - 3*f**2 + 2*f**2 + 0*f**2 + 0*f. Calculate c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) 6699898\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 v when four letters picked without replacement from {e: 9, v: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a**3 + 4*a - 11*a**3 - 20*a**3 - a - 1 + 3*a to the form q*a**3 + w*a + b*a**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 5\/39*y**3 - 7\/78*y**4 + 2\/13*y**2 + 0 + 3*y. Factor p(b).\nAnswer: -2*(b - 1)*(7*b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10930 + 11019. What is the remainder when 883 is divided by o?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 334747130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579835103.\nAnswer: 2579835103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38783 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1006, -6 in decreasing order.\nAnswer: 1006, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7455*o + 90481. Determine g(-12).\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 12. Let j be ((-7)\/(-35))\/(1\/10). Let a(t) = -25*t**g - 2 - 2*t - 2*t**j + 27*t**3 + 4 - 1. Calculate a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nww when three letters picked without replacement from {n: 1, w: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 95, 317, 685, 1199, 1859, 2665?\n\"Answer: 73*s**2 + 3*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 - -153. Calculate the greatest common divisor of 54 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161803763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*t - 9*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 270 - 10*u - 2*u**2 - 262. Let i(j) = -j**2 - 3*j + 3. Determine 3*f(p) - 8*i(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1926*a**2 + a - 26. Let c(n) = 5776*n**2 + 3*n - 71. What is 4*c(u) - 11*o(u)?\nAnswer: 1918*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = b + 20. Let r(m) = 0 - 2 + b + 3*m + 4 - 1. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000019886 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/28 - -3 - 18\/(-36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 41, -6, 5, -1, 0, -4 in decreasing order.\nAnswer: 41, 5, 3, 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-222)\/21 + 6\/(-14). Which is smaller: -10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7031999?\nAnswer: 13, 17, 47, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 176456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000385591135 to 6 dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m - 2. What is t(2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 8, v: 1, q: 3, c: 2, s: 5}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*d + 9264 = -399*d. Is 771 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/6)\/((-132)\/(-134739)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 4. Let q(t) = -t. Let j(k) = h(k) + 3*q(k). Let o be j(-8). Differentiate 0 - 2 + x**3 + o with respect to x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*g + 889 = 0. Calculate the remainder when g\/(-8) - (-2)\/16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*q - 38 = 2*d, d - 19 = -q. Let j = -444 + 653. Calculate the greatest common divisor of d and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 divided by 6?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233088 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:47 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239196770.\nAnswer: 2, 5, 23919677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 29*h + 595 = -53*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a. Let b(q) = -384*q**2 + 321. What is k(b(m))?\nAnswer: 4608*m**2 - 3852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 d when three letters picked without replacement from {d: 1, t: 1, s: 2, m: 1, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from ujjuuujuuuuuuujjuuu.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6 (base 14) in base 11?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-38)\/(-8) - (-126)\/504. What is the fourth biggest value in b, 10, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217*b**2*v - 6*b**2 + 2*v**2 - 56992*v - 3368742 wrt v.\nAnswer: -217*b**2 + 4*v - 56992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.18+311.1978636\nAnswer: 311.0178636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20521?\nAnswer: 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(750)*2)\/(sqrt(30)\/sqrt(3)*5 - (sqrt(10) - sqrt(50)\/(sqrt(5)*2)))*-6.\nAnswer: -80*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 819000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a068 (base 12) to base 2.\nAnswer: -1000110000011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 16*j**2 - 2*j - 15. Suppose 74*h + 253 = -15*h - 459. Determine t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 19. Let x(z) be the third derivative of -1\/480*z**b + 0*z**4 + 0*z**3 + 0 + 0*z + 2*z**2 + 1\/240*z**5. Find u, given that x(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-42) + (-242)\/(-6). Suppose -h = -24*p + 20*p. What is the remainder when 1 is divided by 20\/p + 2\/(-4)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18120 divided by 5.\nAnswer: 3624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10908 divided by -18\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1749*t**2. Let u(z) = -1649*z**2 - 4*z + 1650*z**2 + 4*z. What is c(u(w))?\nAnswer: 1749*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -165. Suppose 27*j - y*j - 216 = 0. What is the highest common divisor of 45 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/35 and 14808\/(-10360) + (-16)\/(-14).\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*(1 - 1). Let v = 0 - p. Suppose v = j + o - 2 - 1, 0 = -2*o - 4. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 445 + -409. Find the third derivative of s*o**4 - o**4 + 28*o**2 - 7*o**2 - 2 + 3*o**4 - 2*o**6 + 3 wrt o.\nAnswer: -240*o**3 + 912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -21*k + 22*k - 5, 5*k - 46 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -36. Let i = -8 + 11. Let y = i + x. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48019330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*z = -41*z + 105*z + 49*z + 21788 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 192924 + 192874 = 5*v, 0 = 3*v - 4*z + 1 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 4*c, -k + 5*c - 6*c = -1. Suppose -4292 = -41*o - 18*o + 1608. Suppose -2*s = h - 112, -5*s = -k*h + o + 133. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12)*0 + (10 - -2). What is the second derivative of -d*m**2 - 19 - 18 + 91*m**5 + 12*m**2 + 3*m + 34 wrt m?\nAnswer: 1820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 15) to base 16.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsbjsjjljsbbb. What is prob of picking 1 j and 1 b?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s*v**3 + 10*s*v**2 + 3*s - 17841*v**2 - 22382*v wrt v?\nAnswer: 6*s*v + 20*s - 35682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*161621\/35135.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 9*j**2 - 106*j - 240.\nAnswer: (j - 8)*(j + 2)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -4*g - 16, 5*j + g + 296960 = 296956 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**3\/3 - 3*t. Let u(j) be the second derivative of j**3\/3 - 4*j. Calculate u(y(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 388067685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111743 by -620.\nAnswer: 111743\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -79*j**4\/6 - 7*j**3\/6 + j**2 + 6*j. Find the second derivative of f(n) wrt n.\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22801 + -20051. What is the greatest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 7:43 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/9 and 61\/16405.\nAnswer: 147645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 37*m + 20*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 - 21*b**4 - 12*b**3 + 336*b**2 - 576*b.\nAnswer: 3*b*(b - 4)**2*(b - 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1342424 - 5?\nAnswer: -1342429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5036\/9 or -559?\nAnswer: -559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r + 8*r + 12*r + 11*r + 132*r**3.\nAnswer: 132*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**3\/3 + 4*m**2 - m - 170. Calculate z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most 66602\/2357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 151233915 to the power of 1\/2, to the nearest integer?\nAnswer: 12298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3920 - 5560 = 0. Let z = -119 - m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - d = 8, 5 - 1 = 2*o + 2*d. Solve -o = 2*p + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 7*q - 5*q**2 + 3*q**2 - 14*q. Let o(i) be the third derivative of 40*i**4\/3 - 7*i**2 + 3*i. Calculate o(u(s)).\nAnswer: -640*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -340*(-4 - 12)\/(0 + -5). Let g = 298 - j. Suppose -17*t - g = -23*t. What are the prime factors of t?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/8)\/d)\/d**(-5\/3))**4\/((d\/(d\/(d**(-2)*d))*d\/(d*d\/d**5*d*d))\/((d*d**(-1\/4))\/d)**(-17\/5)) assuming d is positive.\nAnswer: d**(181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 4)*(z**4 + 3*z**4 + 2*z**4) to the form m*z**3 + v + d*z**2 + c*z + q*z**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -44580 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 12*k + 57. Let d be s(-6). Calculate the remainder when (-51)\/(-1)*(-5)\/(-3) is divided by -5 + 14\/4*204\/d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 30, 24, 18, 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8487 (base 10) to base 8\nAnswer: -20447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*k**4 - 6*k + 6 - 5 + 39*k**4 - 48*k**3 - 7*k**2 + 49*k**3 + 20*k**2 to s*k**2 + y + v*k**4 + o*k**3 + u*k and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -27213\/121?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 731253 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6164.64 + 6229. Round c to the nearest integer.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/(4\/(-18)). Let h be ((-3)\/9)\/((-4)\/(-3)). What is the closest to -1 in h, 0.4, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -26 - (10 - 8)) + -9196 + 9193\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 + 63*w + 15. Let m be n(-5). Solve 3*p + 3*o - 24 = m, -12 = -5*p - 2*o + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -11a44?\nAnswer: 11a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10854632 is divided by 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 22*y = -30. Sort 3, y, 0.\nAnswer: 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 18561 = -4981. List the prime factors of s.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 + 89*k**2 + 28*k + 63. Let n be x(30). Solve 4*b - 4 = -3*l, 2*l = -2*b - n*b - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - 12a?\nAnswer: -16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 0, 59*b - 50 = 4*c + 64*b. Let f be 96\/(-11) + (-2 - (1 - 3)). Is c at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/9)\/y*y*y*y*(y*(y*y**(2\/23)*y)\/y)\/y*((y*y**(9\/8))\/y)\/(y\/(y*y\/y**(-2))) assuming y is positive.\nAnswer: y**(11575\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 108. What is the smallest common multiple of u(-6) and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -3 + -1 + 3. Suppose -t - 14 = -3*x. Let h(y) = 33*y + 142 - 144 + y**2 - 40*y. What is h(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + 90*u**2 - 418*u - 9. Give o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 85?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-50)\/14)\/((1118\/(-2002))\/(-43)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -11, -3, 1.128, -1\/9 in increasing order.\nAnswer: -14, -11, -3, -1\/9, 1.128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -27\/2261 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*t**3 - 107*t**2 + 205*t**2 - 112*t**2 + 201*t**3.\nAnswer: -t**3 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 7) to base 15.\nAnswer: -e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59990.03 millennia?\nAnswer: 5999003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7480560*k**3 - 3*k**2 - 69382*k?\nAnswer: -44883360","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Suppose 6*a + l - 54 = 3*a, -5*l = v*a - 100. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45355673387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -653045\nAnswer: -3\/653045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 1888*h\/5 - 29376.\nAnswer: 4*(h - 540)*(h + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41953065 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/20 - 68\/(-20). Suppose 2*i = h*j + 7*i - 21, -2*j - 3*i = -14. Solve -j*a + 10 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 24313351?\nAnswer: -24313343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:06 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -42402581.6 to the nearest ten thousand.\nAnswer: -42400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26243959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-13 + 2)) + (14 - (37 - 26))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.6018 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 u when four letters picked without replacement from unzuznznnuzzunzz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + (39 - 15) - (-6 - 3)) + (55 - 12).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0735551ms?\nAnswer: 0.0000735551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 1. Let b(t) = 2*t**2 + 5*t - 3. What is b(p) + 3*o(p)?\nAnswer: 5*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -3*x + 113. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-1)\/2 + 60\/72). Let i(j) = j + 9. Let n be i(-7). Solve 3*f + k*q = 15, -n*q = -9 + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6387, 2, 3 in ascending order.\nAnswer: 2, 3, 6387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -619743 and -3.\nAnswer: 1859229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 1:28 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44 - 0.04. Let s = 131.7 - 126. Let k = s + -6. Put k, 5, w in ascending order.\nAnswer: k, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3080625 and 51675.\nAnswer: 40048125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 37 + 37 - 7*b.\nAnswer: 2*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 814, 2660, 6242, 12136, 20918, 33164, 49450?\n\"Answer: 96*k**3 + 4*k**2 + 2*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s + 10 = a, 0 = -5*a - 2*s + 64. Suppose a - 4 = -p. Let w be (-26)\/p + (-3)\/12. Solve w = -z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2862?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59951167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5a187 (base 11) in base 2?\nAnswer: -110011110010111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -7539, -26400, -63743, -125880?\nAnswer: -219123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3268*w**2. Let c(i) = -102331*i + 204663*i - 102330*i. What is c(a(k))?\nAnswer: 6536*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4814 or -4815?\nAnswer: -4815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.13113 millilitres to litres.\nAnswer: 0.00713113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 35, 5, 359, 2 in decreasing order.\nAnswer: 359, 35, 5, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191685, 191677, 191669, 191661?\nAnswer: 191653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473393365 divided by 5.\nAnswer: 94678673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/14 and 97\/798010?\nAnswer: 5586070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 - 2. Let k be w(2). Let s = 697 + -702. Let d be (6\/6)\/(s\/85). Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/((-6)\/(-180)). Let s = f + 44. What is the smallest common multiple of s and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83350 - 14*t**3 + 41678 - 3*t**3 + 41672.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - d + 1)*(0 + 2*d + 0) - 7587*d + 300*d**2 - 7587*d + 15172*d in the form f + n*d + l*d**2 and give l.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) - 136*(-11 - 5955\/(-540))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-2))\/(-3))\/(12 - 6106\/516).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5334 and 94451805?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.43 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 2184\/34 - (-4)\/17?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 + 948*r**4 + 63484*r**3 + 850140*r**2 + 1513600*r + 726000 = 0.\nAnswer: -110, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17907 * -1.068.\nAnswer: 19124.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 2688.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -45.8. What is the nearest to k in -2\/13, -11, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 628325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-22))\/((-1)\/4). Let h be (-1 - b)\/(3\/39). Let i = 21 - h. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4129, -8710, -13291?\nAnswer: -17872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-11)*-1*(-6)\/18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 32220 = -t, 5*t = -4*i + 14941 + 1147. What are the prime factors of i?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((6 + -6)\/(-9))\/(2 - (0 + 0)). Solve 5*o - 20 = -2*l + 5, -3*o - 4*l + 15 = u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.23297um to centimeters.\nAnswer: 0.005823297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26195950 and 28815545?\nAnswer: 288155450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 4. Suppose 0 = 2*t - 2 - p. Let x(a) = a**3 - 4*a**2 - 1. What are the prime factors of x(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56155740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897 and 1838643?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6ae913 (base 15) to base 12\nAnswer: 1866269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.237 - -206.763. Let w = 206.98 - o. Sort w, -2\/5, -7.\nAnswer: -7, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10671 + 0?\nAnswer: 10671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2905280 - 2905279.95399954. Let b = 0.046 - y. Round b to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318\/(-22) - (-2955)\/197?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7688 divided by 4\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)\/((p\/p**(-3\/13))\/p))\/(p**(4\/9))**(19\/6))**(2\/5) assuming p is positive.\nAnswer: p**(-4346\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1, 7, 0.4, 2\/11 in decreasing order.\nAnswer: 22, 7, 0.4, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 4*f - 4. Let a be (-3)\/(1*12\/16). Give p(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244605895 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/8*26\/(-4). Suppose i = -8 + m. What is the highest common divisor of i and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1624\/(-696) + 6662\/(-6) + -1. Which is smaller: -1114 or c?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652003 is divided by 292.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2993 divide 86144526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, -1, -232, -87, 2, 48 in descending order.\nAnswer: 48, 12, 2, -1, -5, -87, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10*c = 36. Solve -2*t = -2, j = c*t - 3 - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 12*i + 6. Suppose -302 + 260 = -6*k. Give d(k).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 - -277. Which is the biggest value? (a) 0.1 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016 less than -0.12352?\nAnswer: -0.13952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -7. Let x = 7 + -13. Let m be ((-16)\/x)\/((-10)\/(-15)). Sort m, -1, l.\nAnswer: l, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-1\/4))**(5\/2))**(-1)\/((d**1)**2)**(2\/51) assuming d is positive.\nAnswer: d**(-2327\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a*d*n**4 - a*d*n**2 - 1152*a*d*n + 9*a*n**2 + d*n**4 - 1218013*d*n**3 - 92 wrt n?\nAnswer: 168*a*d*n + 24*d*n - 7308078*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -501062, -1002101, -1503140, -2004179, -2505218, -3006257?\n\"Answer: -501039*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*k**2 - 5*k**2 + 55*k**2.\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283554527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*m + 5 = 1, p + m = -1. Let w = -3 + p. Let q = w + 2. Are -1 and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 9*u - 10. Solve -1 = g + 4*y, 2*g + 2 = u*y - 4*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from bcbn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-1)\/2)\/((-130)\/(-20))*127?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4565, 4561, 4555, 4547, 4537, 4525?\n\"Answer: -z**2 - z + 4567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 1. Let m(q) = -q**2 - 2*q + 5. Let t be m(-3). Let w be g(t). What is the tens digit of w*1\/3*105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341221106 by -82.\nAnswer: 4161233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27743 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -229.476\nAnswer: 6195.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.12, 0, 50, 1\/2, -1\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 516352561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 4)*192\/(-240). Factor -2\/5*s**2 + 0*s + j.\nAnswer: -2*(s - 2)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773470 rounded to the nearest ten thousand?\nAnswer: -1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 + 281. Put -2, -1, 2, p in decreasing order.\nAnswer: p, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 2*j + 5010 = 14*y, 0 = -3*y - 2*j + 3757. Let w = y - 752. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 n, and 1 d when four letters picked without replacement from dqnqiqfihih.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 + 752*p**2 + 34580*p - 72200 = 0.\nAnswer: -95, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 14*x + 6300 = 0. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - 2 - (21 + -6 + (5 - 8) + -9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/1462125 and -71\/292425.\nAnswer: 1462125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2\/13, -3.6, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, -4, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/15 or -122\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - x. Let s be i(-2). Let k be (-3 - 3)*25\/s. Suppose p - 4*l - 5 = 0, 3*p + 3*l - l = k. Solve -4*b - 32 = 3*z - 0, -z = -p*b - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:46 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b1 + c9?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 541998896 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 10\/2 - (-152)\/40?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 10)*(1 + 0 - 5)*(-5*b**4 - 9*b + 9*b).\nAnswer: 180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*2)\/sqrt(8))\/((sqrt(28) + sqrt(7))*-3).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3835 and 3540.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i + 1 + 2*i + 3*i - 5. Let x(f) = f**3 + 6*f**2. Let j be x(-5). Suppose 4*l = 4*k - 28, k + j = -4*l + 4*k. Give m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 31. Suppose -44 = -5*b + v. Is 12 a factor of b*(-3)\/((-6)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 11*p + 35. Let t be b(14). Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n - 4. Let y be a(5). Let t = y + -11. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4167.44479 rounded to 0 decimal places?\nAnswer: -4167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 3*k**2 + k + 5. Let i = -5 - -3. Let l(v) = -v**3 + v**2 + 2. Calculate i*f(a) + 5*l(a).\nAnswer: -a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 67*n**4\/24 + 100*n**3\/3 - n**2 - 327*n. Find the first derivative of u(q) wrt q.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 11656*z\/3 + 9634240\/9.\nAnswer: 2*(z + 280)*(z + 17204)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.5, 121, -3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - -630. Let n = 685.66 - v. Round n to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 2*d + 22. Let b be h(-3). Solve 4*c = b - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 46, 51, 56?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 3. Let c be b(-6). Let f = 21 - 23. Let m be (5 - 6)*(0 + f). Solve 0 = m*s - 3*s + c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 7*m + 10 = -4*p, 2*m + 5*p + 19 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 - 2*x**2 + 2*x**2 + (0*x - x + 2*x)*(-4*x - x + 3*x) - 3*x**2 - 4 + 4 + 4*x**2 + x**2 + x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 1. Let q = -13 - -16. Suppose 0 - q = 3*n. What is b(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 + 1)\/(5\/(-25)). Suppose 41 = -0*c + 4*c - 5*i, -3*i + b = 4*c. Let k be -1 + c\/((-2)\/(-1)). Sort k, 3, 4.\nAnswer: 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 14. Let h = -18 + 26. What is the least common multiple of 14 and d(h)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3205 + 2)*(-24 + 19). Let b = 6276 + v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14664 + 14644. Sort u, 10, -1 in ascending order.\nAnswer: u, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 615, 1211, 1791, 2349, 2879, 3375?\n\"Answer: -m**3 - 2*m**2 + 609*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + u**3 - 3*u**2 + (5*u - 5*u + 2*u**2)*(5*u + 0*u - 4*u) - 4*u**3 + 4*u**3 - u**3 + 2 - 2 + 4*u**3)*(339 - 339 + 2*u**2 - 5*u).\nAnswer: 12*u**5 - 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + 2*q)*(24 - 4*q - 21 + 5*q).\nAnswer: -2*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251772604?\nAnswer: 2, 62943151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014267 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 27 = -4*m. Suppose 0 = c + 3*n - 2*n - 5, -n = 2*c - 10. Suppose -17 = -g + c*x, 3*g - 2*x - 18 = 2*x. Solve g*k + m*z = -26, z = 2*k + k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*k - 11 - 1, 5*k = 4*g - 18. Is (28\/20 - 2)*(-90)\/g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:06 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -7. Suppose -v - 10359 = -r*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + j)*(1 + 0 + 4)*(4*j**4 + 5*j**4 + 0*j**4).\nAnswer: 90*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 4, i: 8, g: 2, p: 5}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3c (base 14) in base 10?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 64. Which is the nearest to -0.2? (a) -2 (b) q (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 43 - 11 = 0. Let x(q) = -60*q + 80. Does 41 divide x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 0.9, -2.\nAnswer: -44, -2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/3 (c) -100369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 v, and 1 o when four letters picked without replacement from {b: 2, c: 2, j: 1, o: 2, v: 3, k: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 38 = 4*x, x = -h - 11. Let z be (1 + -4)*x\/6. Suppose p + z*j = 10, -4*j + 2 - 3 = -p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 10. Let l(m) = 6*m - 21. Let p(t) = -6*l(t) + 13*x(t). Let r be p(2). Solve 3 = 2*u - 1, r*g = 2*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 18 = 7*w. Let t(o) = -7*o**2 - 2*o - 1. Let c(j) = 15*j**2 + 5*j + 2. Let k(p) = w*c(p) - 13*t(p). Suppose 13 = 4*i - 7. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let j be h(1). Let p = -11 - -7. Sort p, j, 4 in decreasing order.\nAnswer: 4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.5, 0.6161, 5, 34 in decreasing order.\nAnswer: 34, 5, 0.6161, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/15)\/(2\/(-20)). Suppose 4*a = -n*a + 32. Suppose -a*v - 2*j + 442 = 0, -5*j - 2 = -7. Calculate the smallest common multiple of 2 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -350*(6 - (-135)\/(-18)). Let f = 526 - c. Let r = -0.5 + 0.4. What is the nearest to r in -5, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 9*k - 0*k. Let h be k + (-56)\/(-10) - 12\/(-30). Solve h*x - 5*x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 - 586*m\/9 + 196\/3 = 0. Calculate m.\nAnswer: -294, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4030510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 = -4*f + x, -2*x + 12 = 3*f. Suppose -h + 0*h + 9 = -f*w, 4*h - 5*w = 27. Suppose -u + 40 = h*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(0*l - 2*l + 3*l)*((397 + 309 - 195)*(2 - 5 - 1) - 3 + 1 + 1).\nAnswer: -2045*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.0812 + -2.7812. Which is the fifth smallest value? (a) 0.08 (b) -2\/5 (c) 2 (d) g (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185177881.\nAnswer: 7, 739, 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18531550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-40)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*u + 5 = 8*y - 10*y, 4*y + 12*u + 12*u = -260 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135027 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: Let x(p) = 118*p**2 + 2*p + 1. Let o be x(-1). Let f = o + -65. Let d(r) = 2*r + 2. What is the remainder when f is divided by d(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -105\/2, 2\/83, -0.094.\nAnswer: -105\/2, -0.094, 2\/83, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10101100000010010?\nAnswer: -10101100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18523 + -17987. Calculate the greatest common divisor of 120 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1390, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 18 = s, 13 - 25 = 3*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-222)\/(-4) + 1\/2. Let u = r - 18. What is the least common multiple of u and 14\/3024*-16 - (-328)\/54?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 greater than 288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5939 - -1?\nAnswer: 593a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58431 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -7) + (-6)\/(-1). Suppose -l*t + 16 + 70 = -5*f, -2*f - 124 = -4*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 13*l + 2. What is the lowest common multiple of 2 and o(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + 5. Suppose -u = 3*n + 6. Let f be (n\/(-15))\/(1\/5). Solve f*k + 2 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -64 (c) -0.68 (d) 2221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 1 - 5*w + 3. Let b(c) be the third derivative of -1\/2*c**3 + 3*c**2 + 0*c + 7\/24*c**4 + 0. Give -5*b(x) - 4*g(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryg when three letters picked without replacement from {q: 2, s: 4, u: 6, g: 4, y: 1, r: 1}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (11 + 2 + -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-24) - (-1537)\/(-1218).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -9*a - 155127. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -4665 - 3651. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c*c**(-1\/14))*c)\/c*c*c)**(-28)*c**(1\/18)*(c\/(c*c**15))\/c assuming c is positive.\nAnswer: c**(-2339\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Let b be l\/(((-2)\/(-3))\/(-1)). Suppose o - 2 = b. What is the biggest value in -4, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*p + 24, -5*p - 3 = -d + 5*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 13 = -5*j, 3*j + 6 = -l + j. Suppose 3*i + 16 = -10*g + 5*g, 5*g = 3*i - l. Let n be 0 - 10\/4*g. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 17. Let v be n(2). Solve 5*b = -j + 4*b - 1, -v*b = 4*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -23. Let d = i - -15.5. Let w = 635 - 631. Which is the closest to -4? (a) w (b) d (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142940*v**2 + 165018*v**2 - 22076*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 0.02567447?\nAnswer: 0.02567447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let f(r) = 3*r**2 + 6*r - 16. Let d(i) = f(i) + 6*y(i). Let w be (-2)\/8 + (798\/56)\/(-3). What is the units digit of d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49252153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*z + 4*z + 373 = 0, 5*g + 2*z = 377. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6553754 millimeters to centimeters.\nAnswer: 0.06553754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:55 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10231022431 - 1?\nAnswer: -10231022432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-593)\/9 + (-1351)\/12159?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 820.15 * -18\nAnswer: -14762.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 33.06. Let s = -76\/13 + 6. Put s, m, -7 in descending order.\nAnswer: s, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let o(w) = 5*w + 9. Let s(n) = -15*i(n) + 3*o(n). Let g be s(4). Suppose -5*q + g = v - 6073, 3*q = -3*v + 3723. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105112350 (base 6) to base 16\nAnswer: 1d55ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {x: 7, i: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m + 8. Let y(h) = 14*h - 9. Determine 4*r(a) + 5*y(a).\nAnswer: 18*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85902991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -10 - -7) + -27 + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143409355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 894333649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = t + 32, 24*x + 5*t = 21*x + 56. What is the highest common factor of 1269 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -159, -582, -1287, -2274?\n\"Answer: -141*b**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2577282, 2577281, 2577280, 2577279, 2577278?\n\"Answer: -m + 2577283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*z - 59, h - 2*z = -h - 20. What is the nearest to h in -3\/2, -1, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18511*k - 18453*k = -36878*k + 4295 + 1123 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -567, -1 in descending order.\nAnswer: 21, -1, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -63*h**3 - 9*h**2 - 6*h - 43. Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24401*x + 1005 = 24468*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000992647652 to 6 dps.\nAnswer: -0.000993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3244005 (base 6) to base 4.\nAnswer: 213130211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 2. Let j(q) = 3*q**2 - 3*q + 1. Let r be j(2). Suppose -10 - 2 = -2*p. Calculate the least common multiple of p and a(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x. Let r = 3 - 5. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213.78 - 214.18. Sort 7, -3\/2, 6\/17, h in decreasing order.\nAnswer: 7, 6\/17, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 1\/12*n**4 + 4*n**2 + 0 + 4*n - 1\/6*n**3. Let m be p(7). Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m. Let h(u) = 3*u**3 + 12*u**2 - 15*u. Let c be 2*1*(-4)\/(-8). Let a(k) = c*h(k) + 12*w(k). Find the second derivative of a(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let c(a) = -2*a**2 + 6*a + 6. Suppose 0*t - 4*t = -8. Let x(n) = -4*n**2 - t + 5 + 10 + 13*n. Let o(l) = 13*c(l) - 6*x(l). Give o(u(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105*t + 209*t + 49*t)*(-1 + 1 - t) to the form a*t**2 + w + l*t and give a.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**3 + y**2 - 9*y + 2. Let f be o(7). Let b = -301622\/125 - f. Let t = b + -8134\/375. What is the common denominator of t and -40\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - b + 15 = 0, -3*x - 48701*b + 1170 = -48569*b for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 3762?\nAnswer: -3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 560*r - 558*r. Calculate the remainder when 144 is divided by r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1752 and -41\/1780616.\nAnswer: 5341848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10 - a + 19 - 11. Let u(c) = c**3 - 3*c**2 - 4*c. Let p be u(4). Determine h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14546*l - 7462102. What is q(-513)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3695510 (base 11) to base 6.\nAnswer: -345334205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 6048*f + 18162.\nAnswer: -2*(f - 3)*(f + 3027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from qzzqzxzzqxzzzzz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 189 + 19 - 35.\nAnswer: -2*v - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4564316.\nAnswer: 2, 31, 36809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 24, 5, -22, -57?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5896935 and 2508.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 16*t = 0. Suppose -6*r + 4*r + 66 = t. Let j = -1324 + 1321. Sort r, -4, 5, j.\nAnswer: -4, j, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2974 - -4715. Let q = 2166 + m. Is q 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 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)\/(-2*(-10)\/10). Suppose -4*b = -5*k + 503, -3*k + l*b + 303 = -2*b. What are the prime factors of k?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -506 - 1?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31886*m**3 + 3591*m**2 - m?\nAnswer: 191316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 0.3, -6\/19, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/10 + 141\/(-15) + 10)\/(-1). Let r(j) be the second derivative of -8*j + o - 1\/12*j**4 + 3*j**2 - 1\/6*j**3. What is r(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - v**2)*(0*v**2 + 2*v**3 + 0*v**2) + (1 - v**5 - 1)*(0 - 3 + 1) - 3*v**5 + 4*v**5 - 2*v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 4, f: 1, r: 4}. What is prob of picking 4 l?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1146.35 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-18) - (-6)\/27. Factor 0*f**3 - 2\/5*f**g + 0 + 0*f + 2\/5*f**4.\nAnswer: 2*f**2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2215 and 505.\nAnswer: 223715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 + -2.3. Which is the closest to 0? (a) 0.1 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2401.52\nAnswer: 9606.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 11. Let n(v) = 44*v**2 + 15*v. Let l(f) = -15*f**2 - 5*f. Let h(s) = m*n(s) - 17*l(s). What is the second derivative of h(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.107 + 0.055. Let b = -0.792 - c. What is b rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -10200122110120222?\nAnswer: 10200122110121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14366950 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/(13\/(-78))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 5, s: 1, w: 2, b: 1}. What is prob of picking 1 s, 1 w, and 1 f?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 15) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 136*v + 1. Let i(k) = -k + 8. Let x be i(7). Let u be j(x). Suppose -u = -5*c - 42. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -685901 greater than or equal to -685903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/182*(-4)\/5. Let q be (30\/(-189))\/(13\/(-3)). Let f = z - q. What is the biggest value in -0.2, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1346933 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1910154 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + 15*-2. What is the units digit of -1*5\/(20\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.36 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 83750754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -57930.12 and -61?\nAnswer: 57869.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 1737*q**2 + 4758*q + 7944048.\nAnswer: 3*(q - 568)*(q - 74)*(q + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*sqrt(5) + -3 - (2*(sqrt(5) - (sqrt(5)*1 - sqrt(5)) - sqrt(5))**2 + (sqrt(10)\/(sqrt(10)\/sqrt(5)))**2).\nAnswer: -13 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = 0, 2*x - 4*h + 4 = -2*x. Let a be (-24)\/x*(-1)\/2. Suppose 0 = a*i - 0 + 16. Is -4 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (244\/(-1586))\/(48\/468). Let r = -76 - -74.05. Let s = r + -0.05. What is the smallest value in s, -1, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/3)\/((-2)\/24). Suppose -2*z - 4 = 0, -5*x = 5*z - 0*z - c. What is the lowest common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*h**3 - 2 - 4*h**3 - 10*h**5 + 43*h**3 + 0*h**5 + 6*h**5 - 4*h**5 + (5*h**3 + 0*h**3 - 3*h**3)*(-3 + 3 - 2*h**2) - 3*h**5 + h**5 + 0*h**5.\nAnswer: -14*h**5 - 20*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.3 - 4.2492. Round l to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*j - j = 0, -4*j = -4*b - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23115 - 443?\nAnswer: -24002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*v**2 - 37 + 14 + 23 in the form a*v + i + w*v**2 and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -0.898.\nAnswer: 2.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.5, 2.9, -0.3.\nAnswer: -0.5, -0.3, 2.9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 83, -4, 0.4, 1\/443?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 3*l - 5*l)*(-2 + 0 + 3 + (-1 + 4 - 4)*(0 + 0 - 2) - 2 + 5 - 4 + (2 + 0 - 4)*(1 + 2 - 4)) as m*l + f and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -7*a**4\/4 + 5*a**3 + 3*a + 3. Let x(g) = -g**3 + g**2 + 1. Let l(b) = d(b) - 3*x(b). Factor l(v).\nAnswer: -4*v**2*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k - 9. Let h(w) = -4*w + 2*w + 1 + 3*w. Let r(g) = -18*h(g) - 2*l(g). Let j(f) = -f**2 - 3 + 3. Determine j(r(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = 5*r, r + 1 = -y + 23. Calculate the remainder when 237 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - n**2 + 5*n + 6. Let h be r(-4). Let t be 3\/15 - 5\/25. Suppose 3*u - 10 - 32 = t. What is the highest common divisor of u and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/12485 and -67\/20.\nAnswer: 49940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -149*a + 844. Give k(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 39.\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from tztdtzzeeerettaazt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 14, 100, 294, 638, 1174, 1944?\n\"Answer: 7*a**3 - 9*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/19)*u**(-1\/3)\/u)\/(u**(-2\/5))**(-20))**(-1) assuming u is positive.\nAnswer: u**(481\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from {x: 4, a: 5, h: 6}?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75766 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -4*t + 28, -4*t + 5*k + 10 = 0. Suppose b + 66 = 2*b + v, b - t*v - 66 = 0. Calculate the common denominator of b\/(-63)*(-30)\/8 and -17\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-17) - (3030874\/187 + -8). What is x rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let g(o) = o**2 + 3*o - 4*o**2 + 7*o**2 - 2. Calculate the remainder when g(a) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 18. What is the remainder when 6 is divided by (1\/(-2))\/((-2)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28293145 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31568 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 14*o - 183 = 3*m - 46*o + 21*o, -m = -10*o + 53 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387640171.\nAnswer: 17, 263, 277, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(1260\/11550).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.1521 (b) 13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyu when three letters picked without replacement from ihxxuixxuuphyuxhuxiy.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/13 (c) -2\/165 (d) -359 (e) -1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from zvvzmvvvzzvzzz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - z = -2*z - 173*o + 174*o + 15, 5*z + o - 34 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b - 6*b + 7*b as d + t*b and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2367*-1999.53\nAnswer: 4732887.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*y - 32. Let h(x) = x**3 + 3*x**2 - 11*x + 3. Let b be h(y). Solve -4 = -2*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 679*n - 4146. Determine b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2532 + 2664 = -33*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (8 - 4))\/(-1)*(-16 - -47). Solve -2*o = -x - 8, 5*x = -4*o - 15 + v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 220 = -5*w, -6*w + w + 60 = -i. Let t = i + 161. Suppose -1 = r, 0*r = -4*l - 3*r + t. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1532867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let n(f) = -2*f**2 - 10*f - 4. Let k(t) = 2*g(t) - n(t). Let l be (-14)\/(-35) - 54\/10. List the prime factors of k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(26) + (sqrt(936) - 3*sqrt(936)))\/(sqrt(2) - ((sqrt(64)\/sqrt(4))\/sqrt(8) - sqrt(2))))**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1570 - 64*s - 84*s + 18 + 196*s. Calculate a(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 25*r**2 + 30*r - 154. What is o(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Let s(t) = t - 2. Let n(r) = -4*d(r) + 3*s(r). Calculate n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/8 + 12375*t**2\/8 + 12393*t + 24798 = 0.\nAnswer: -4, 4133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lici. Give prob of sequence ic.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-10)*(-3)\/2*(-176)\/66?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90000 = -6*u + 3*u. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5949240 - -81\nAnswer: -5949159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1728.192375 microseconds?\nAnswer: 0.0000000028574609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3206 less than or equal to 10961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 2100\/9 - (-3 + 1). Let m = -232 - f. Which is greater: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {v: 4, o: 10, p: 3, g: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 (base 7) in base 6?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 72*t - 286*t + 72*t + 73*t + 44 + 66*t. Calculate q(20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 7833*a**4 - 5093376*a**3 + 25600188*a**2 - 41029344*a + 20530368 = 0. Calculate a.\nAnswer: -1308, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 748\/340*-38 + 76?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798735*b + b**2 + 798738*b + b**2 - 1597473*b + 6*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.954 - 30. Let x = 0.254 - l. Let w = -0.04 + -0.02. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -0.0141.\nAnswer: -0.3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 7217, 25, 3\/16 in ascending order.\nAnswer: 3\/16, 1, 4, 25, 7217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.995 + -0.005. Which is the biggest value? (a) -22 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 4*l - 5. Let h(b) = 2*b**2 - 8*b - 10. Let w(k) = 6*h(k) - 11*s(k). Suppose -t = 3*m, -5*t - 486 = -4*m - 410. Calculate w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*x + 112*x - 149*x to the form w + z*x and give z.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78444 or -78371?\nAnswer: -78444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 132023014 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(243) + (sqrt(18) - sqrt(198)\/sqrt(44) - sqrt(18))\/sqrt(6))**2.\nAnswer: 51*sqrt(3) + 903\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3000 + 17*d**2 - 19*d**2 - 1517.\nAnswer: -2*d**2 + 1483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -499*s**2 - s + 501*s**2 - 4 + 5*s. Let c(o) = -o**2 - 2*o + 2. Let p be 0 - (7 + -4 + 2). Give p*c(f) - 2*i(f).\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -0.5, 66 in ascending order.\nAnswer: -4, -1, -0.5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 4*f**2 - 3*f + 4. Let v be u(3). Suppose 0 = -v*n - 0*n + 8. Solve -n*c = 1 - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 y when three letters picked without replacement from yyymyymymym.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)\/(10 + (-624)\/65)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c - 1. Give f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88169400 divided by -60?\nAnswer: 1469490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a factor of 10824737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {u: 2, j: 2, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d0e7a - -1bb?\nAnswer: -d0cbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -0.047, 3\/2, -0.3, 0.07?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.9 to zero dps.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104894?\nAnswer: 2, 179, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3 + 334721*m**2 - 10*m - 69290240?\nAnswer: 6*m**2 + 669442*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**8\/13440 - g**7\/5040 - g**6\/720 - 7*g**4\/12 - 7*g. Let h(y) be the third derivative of j(y). Let h(q) = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + y - 6*y - 495 = 0, -4*u - 3*y - 396 = 0. Suppose 2*d - 248 = -2*h, 2*d + h - 216 = 37. Let x = u + d. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29260.85+-12\nAnswer: 29248.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 211*i**3 + 0*i - 10613 + 20892 - 10279.\nAnswer: 211*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.17 + 43. Let y = -8.17 - o. Is y <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-2)\/12). Let y = q + -4. Let k(f) = -2*f**2 - f - 5. Let i(g) = 7*g**2 + 3*g + 14. Let d(l) = 4*i(l) + 11*k(l). What is d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 34*d**2 + 69*d + 124. Let h be f(36). Solve 25*b - 33*b = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 7*n = -n - 4*n - 14, -5*b - 2*n = -47 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -105. Let w be 2\/4 + 14\/(-4). Let f be ((-2)\/a)\/((-1)\/w). Is f < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 32*y**2 + 33*y + 62. Let j be n(-31). Let z be ((-165)\/(-44))\/((-9)\/(-48) - j). Let f be (9\/(-3) - -4) + 9. Solve -f*u = -14*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 1, h: 1, l: 2}. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 226629 - 63289 = -12*r. Is r a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692371001, -1384742000, -2077112999?\nAnswer: -2769483998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -3, 8, 31, 4, 5, 2 in increasing order.\nAnswer: -138, -3, 2, 4, 5, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1383?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 65. Let h be p(8). Solve 27 = -h*o - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18252421 is divided by 9126201?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + 108031?\nAnswer: 108067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by 23192\nAnswer: 711\/23192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -28. Let v be 21\/((-2 - -1)\/(-1)). Let t = v - b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**5 - 12498*w**4 - 13442859*w**3 - 879931392*w**2 + 893386752*w = 0?\nAnswer: -2048, -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*2\/(-6). Let f = -122 - -121.741. Let x = f - -0.059. Which is the closest to -0.1? (a) x (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83494114 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 89 + 229 = 0. Let z(k) = 5*k + 76. Calculate the least common multiple of 8 and z(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from {b: 6, x: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3160\/72569 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143241 + 1032144?\nAnswer: 1230440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74897?\nAnswer: 74897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(1 - -1) + 249\/((-91881)\/(-1845))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 5, 21.5, -236?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(119)\/((sqrt(147)\/sqrt(3))\/sqrt(7)) + 3)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 1, o: 4, x: 3, z: 2}. Give prob of sequence xzrv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 190\/15*(-3)\/2. Let i be (-8)\/40 + w\/5. Let c(d) = -6*d - 1. List the prime factors of c(i).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1*2)\/(-1). Let w = -25 + 31. Let q be w\/(-9) + 0 + 1\/(-3). Is x >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 4, b: 2}. What is prob of sequence rb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 - 5555*z**3 - 33510*z**2 - 160*z + 178720 = 0. What is z?\nAnswer: -4, 2, 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4097*c**3 - 12*c**2 + 12*c**2 + 4091*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**5 + 220*s**4 + 3225*s**3 + 21330*s**2 + 65340*s + 74520 = 0.\nAnswer: -23, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2278965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 15, -4*r + 25 = -2*r - 5*w. Suppose r = -2*m + 5*k + 951, 3*m = -0*m - 4*k + 1438. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323534594.\nAnswer: 2, 113, 1431569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -365 + 681. What are the prime factors of d?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79696.71 minutes to microseconds.\nAnswer: 4781802600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 - 1.9. Let g = -54 - -34. Let l = g + 39\/2. What is the closest to a in 2\/19, l, 5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13091547, -13091555, -13091563, -13091571, -13091579?\nAnswer: -13091587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058475 smaller than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 15*r + 39. Calculate the remainder when n(-13) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/15, 5, -9\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543406.8 centuries to months.\nAnswer: 652088160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6130005 = t + 5*a, 9*a - 4*a = 3*t + 18389995. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 13)*(-2*i - 1 + 1)*(3*i - 3*i - 2*i**2)*(-9*i + 29 - 29).\nAnswer: -468*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 96*i**2 - 384*i + 9. Let j be a(4). What is the greatest common divisor of 1332 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 - 3*g**3\/2 + 10*g**2. Let d be n(9). Suppose -4*a = -d*a - 4. Calculate the highest common divisor of a and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - (-8 - (-8 + -240)))*(-1 + -41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:41 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 171, 575, 1371, 2691, 4667, 7431?\n\"Answer: 22*j**3 - 2*j**2 - 4*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose 0 = 2*s - 7*s. Suppose s = -3*z + 7*z. Sort 2, o, z in descending order.\nAnswer: o, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + r**3 - 12 + r**3 + 11.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 592 - 3812 = -9*v. Which is greater: v or 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*f + 2 + 114*f - 2.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -0.1 (b) 0.3 (c) -2 (d) 0.06 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001 (base 4) to base 7.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 206544, 0, -3, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(((q**(-1\/7)\/q)\/q)\/q)))\/q**(1\/4))\/(q**(-4)\/(q\/(q\/q**(-2\/7)))))\/((q\/((q**(1\/3)*q)\/q))**32\/((q**(-4)*q)\/q*q**(-3\/2))) assuming q is positive.\nAnswer: q**(-2227\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48420769 divided by -820691\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 - 476. Let g = m + 178. Sort g, -26, -5 in descending order.\nAnswer: g, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let d(a) = -6*a**2 + 9*a**j + 7*a**2 - 5*a + 5*a. What is d(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 7600692.\nAnswer: 7600692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 - 678*t**3\/7 + 2022*t**2\/7 - 2018*t\/7 + 96 = 0. Calculate t.\nAnswer: 1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(34*d - 7*d - 21*d + 93*d)*(7*d + 3*d**3 + d - 19*d) to the form j*d**2 + y*d**3 + q + v*d**4 + i*d and give j.\nAnswer: 2178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/77)\/((-6)\/(-42))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**7\/2520 - v**6\/60 + v**5\/15 + 3*v**4\/4 - 20*v - 1. Let w(f) be the third derivative of t(f). Calculate w(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45487 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 4453 + 4093 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 = -3*n + t + 521, -4*n + 10*t = 230 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -177*h**2 - 4*h - 29064. Let t(p) = p. Determine t(v(r)).\nAnswer: -177*r**2 - 4*r - 29064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 52 (b) 0.2 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, z: 7}. Give prob of sequence iiiz.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -27979.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 5*m + 8*m - 11*m**2. Let v(y) = y - 1. Let s be v(6). Let q(a) = -5*a**2 + 5*a. Let p(g) = s*q(g) - 2*z(g). Factor p(b).\nAnswer: -3*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-143)\/(-55) - (-2)\/5. Let t(b) = b**2 + 3*b + 2. Let c be t(v). Suppose 0 = -0*f - 5*f - 4*i + 59, 0 = 5*i + c. Solve 0*w = -5*w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061823, -4061917, -4062011, -4062105, -4062199?\nAnswer: -4062293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-222)\/42 - -5 - 17\/14. Which is the second smallest value? (a) 3\/8 (b) t (c) 3\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6903642 to 2 decimal places.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.19 - 0.11. Let p = 0.5 + f. What is the third smallest value in 3, p, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 110*h**2 - 364*h - 3828. Determine i(-107).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40974700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/3 - 88*v**2\/3 - 424*v\/3 + 1216\/3 = 0.\nAnswer: -38, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 12 = 11*g. Suppose 3*l - l - g*j - 12 = 0, 0 = 4*l + 3*j - 52. Suppose 1045 = i + l*i. What is the remainder when i is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2*k**5\/45 + 2*k**4\/9 - 8*k**3\/27 - 27. Find q, given that y(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -19. Let a be 6\/(-27) - (-74)\/h. Calculate the remainder when 32 is divided by a\/20 - (-106)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58535 + 84197. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 6025 + 24645. Let k be x\/30 - (-2)\/(-15). Let q be k\/(-1 - -3) - -2. What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-459)\/(-1071))\/(6\/7)*12\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, w: 2, q: 1}. Give prob of picking 1 o and 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 891, 951, 1013, 1077?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 8*h - 5*h - 57, -x = -2*h + 38. Solve h = -4*d - 1, 3*d = -4*c - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(5\/2))\/z*((z\/(z\/(z\/(z\/((z*z\/(z**(2\/3)*z))\/z*z))))*z)\/z)\/z)**(-44)*(z*z**(1\/3))**(-19)\/((z\/z**(-1)*z)\/(z**(1\/7)\/z*z)) assuming z is positive.\nAnswer: z**(-762\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000090513173 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3208 - 225?\nAnswer: -3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 4. Let w be l(2). Let b(p) = -p**2 - 5. Let g be b(w). Let m = 5 - g. Solve -5*q + m = -5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m - 2. Let w be y(-2). Let l = -2 + w. Calculate the remainder when 38\/(-8)*2*-2 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 17 = 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - s - 8. Let k = 11 + -14. What is the least common multiple of r(k) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.95 - 36. Let x = -651 + 657. What is the closest to q in x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1446071999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l*l)\/(l*l**(-2)*l*l*l*l) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256689395 is divided by 431?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -230, -432, -722, -1124, -1662, -2360?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, 5*r + 3*o - 15 = -7. Which is bigger: 0.05 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 g when four letters picked without replacement from {g: 5, l: 2, y: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -78 + 15 + -82 + -14?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b**2)*(-b**2 + 3*b**2 + b**2) + 77*b + 73*b + 3*b**4 - 149*b.\nAnswer: 9*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(330) + sqrt(330) + sqrt(330))\/sqrt(11))\/(sqrt(18)\/(sqrt(6) - sqrt(6)*-3)))\/(5*sqrt(720)*6*-2).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c - 50. Let m be f(-4). Let p be (m + -2)*((5 - -4) + -8). Let h(j) = -5*j + 2 - 1 - j**2 + 0*j. Give h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)*q**17*(q*q**19)\/q**(3\/20) assuming q is positive.\nAnswer: q**(377\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52 + 3*o - 2 + 15 + o**2 - o wrt o.\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 - 2156*s**3 - 27898*s**2 - 83604*s - 57861 = 0?\nAnswer: -2143, -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcucccccpcplpuuclulp. What is prob of picking 1 p and 1 l?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 117\/27 + 4\/(-3). Suppose 0 = s + 5*a + 3, h*s + 4*a + a - 11 = 0. Suppose -s*r + 52 + 298 = 0. Which is greater: r or 49?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 38*v + 31*v - 11*v - 14*v - 37*v.\nAnswer: -v**3 - 69*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -22 + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -46*l - 90. Let t be k(-2). Solve 2*y - 1 = -3*j, -y + 4*y - 8 = t*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 + 305*v**3\/4 + 19941*v**2\/2 - 234270*v - 1091664 = 0.\nAnswer: -114, -4, 24, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171) + -1*sqrt(171)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-3 + (2 - 10) + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(-78) + (-7)\/(-2). Let g(u) be the third derivative of 2*u**2 + 0*u**h + 0 + 1\/48*u**4 + 0*u + 1\/120*u**5. Solve g(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55075, -55078, -55083, -55090, -55099, -55110, -55123?\n\"Answer: -q**2 - 55074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2\/2 - 188. Let v(h) = -2*h**2 - 92*h + 217*h + h**2 + 77*h. Calculate v(p(q)).\nAnswer: -q**2 + 202*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2448323667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (53774\/24 - 4) + 1. Let a = d + -2236. Find the common denominator of 19\/10 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -5615?\nAnswer: -5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -a4?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -2.3. Which is the nearest to n? (a) 0.5 (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 + 3 = 0. Suppose z*n - 3*j = 14 + 84, -3*j - 202 = -4*n. Suppose 4*k = 2*a + 63 - 19, 4*k = -2*a + n. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1\/4*t**4 - 5\/6*t**3 - 1\/30*t**5 + 0*t + 4*t**2 + 0. Let u(f) = -f**2 - 5*f - 4. Let m = 1 - -2. What is m*d(b) - 4*u(b)?\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25 + 10*k + 23 - 46. Let n(l) = 7*l + 1. Determine -5*i(o) + 7*n(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(1\/20)*j))**19)**(-37))**43)**15 assuming j is positive.\nAnswer: j**(1904427\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1008)\/98 + (-4)\/(-14). Let n be 1 + -4 + (-11 - m). Let w(b) = -3*b - 6. Give w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7225, -28934, -65115, -115768, -180893, -260490, -354559?\n\"Answer: -7236*y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.6 - 79.6. Let k = -7 - -60. Let l = n + k. Sort l, -0.7, 0 in ascending order.\nAnswer: l, -0.7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*r**4 - 630*r**3 - 96*r**2.\nAnswer: -3*r**2*(r + 16)*(13*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11575196 divided by 1\nAnswer: -11575196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + 25\/4. Let m be (-4)\/(-8)*-62*-1. Let p = t + m. Calculate the remainder when p is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 442 = 3*n, -x + 4*n + 271 = 2*x. Suppose 0 = 5*l + 3*a - 6*a - 72, -5*l - 3*a = -78. Let k = x - l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(20\/7)*u\/u**(-11\/3))**(-2\/81))**(-28) assuming u is positive.\nAnswer: u**(1264\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i + 2. Let o = -3 + 6. Let m(x) = 4*x - 3. Suppose 0*q - 4*r + 6 = 3*q, -r = -2*q + 4. Let t(j) = o*m(j) + q*s(j). Calculate t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/2 + 72*u**3 + 26263*u**2\/2 - 14055*u - 158364 = 0.\nAnswer: -106, -3, 4, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 78. Let v be b(14). Let i(u) = 35*u - 4. Let p(k) = -3256*k + 374. Let d(r) = v*p(r) - 561*i(r). Let j(w) = 4*w. Give j(d(x)).\nAnswer: -396*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 97.99999906. Round q to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 7*p**3\/6 - 9*p**2\/2 + 31*p - 2. Let q(v) = -4*v + 5. Determine -6*c(u) - 11*q(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*2 + (sqrt(1008)*2)**2.\nAnswer: 16*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -99. Suppose 2*s + 0*i - c = i, -2*s - 2*i + 16 = 0. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -r - 1 - 5, -r - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -122 + -2 - (12 + -25 + 23 + (-4 - 15))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 438 - 18. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {g: 3, k: 3, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b. Let c be u(-2). Suppose -3*l + l - 266 = -4*w, -c*w + l = -265. Calculate the smallest common multiple of w and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4158800 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 862*i + 161129. What is o(-187)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 346*x**2. Let a be (-15)\/(-9) - (-616)\/84. Let g(j) = -14*j + 2 + 7*j - 2 + a*j. What is g(h(b))?\nAnswer: 692*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 900 = -16*f. Let j = f + 75. Suppose j = g + 2*l - 49, -l + 65 = 4*g - 131. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -920, -1845, -2770, -3695, -4620?\n\"Answer: -925*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1315209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -71587?\nAnswer: -71584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52253, 104354, 156453, 208550, 260645?\n\"Answer: -t**2 + 52104*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3320 is divided by 552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*a - 2, -2*a = -59*w + 55*w + 22. Solve 5*l - 3*l = -5*f + 14, -w*l - 15 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 1184.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + x - 40 = 0, -422*f - 6*x = -420*f - x + 16 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**4 + 8*f**3 + 50*f**2 + 5474 wrt f?\nAnswer: 20*f**3 + 24*f**2 + 100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/11 (b) -31\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z + 2*z**2 - 3*z**2 + 2 - 4 + 5. Let u be b(7). Solve u*y + 5 + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0875 plus 15?\nAnswer: 15.0875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/3 - 2564*h**3\/3 - 821762*h**2\/3.\nAnswer: -2*h**2*(h + 641)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, f: 1, b: 1, h: 1, i: 1}. What is prob of sequence fh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11591 divided by 474\nAnswer: -11591\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i + 2*i**3 + (2 - 2 + i**2)*(2 - 2 + 2*i) - i - i**3 + i + i**3 + 0*i**3 + i**3 + 0*i**3 + 3*i**3 - i**3 + 5*i + 3*i**3 + 0*i**3 - i**3.\nAnswer: 9*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 8. Let g(o) = 4*o - 9. Let w(a) = -4*g(a) - 3*z(a). Let u be w(8). What is the units digit of (-2 - 1)*u\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 248 and 12.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -p + 5*r - 12, r = p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) -16 (d) 2\/199 (e) -0.96 (f) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/9 + 2\/9. Let z be (-4 + 4\/1)\/((-2)\/(-2)). Which is bigger: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + -6637?\nAnswer: -6718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240464184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5860230 times 1\nAnswer: -5860230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 44. Which is bigger: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223621 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(112) + -2 + 3*(1*sqrt(7))**2 + 0).\nAnswer: -19 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - -1.8. Let k = 0.80527839 - 0.7052784. Let n = u + k. Round n to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 273\/8102 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 9*l - 14. Let q be x(6). Solve q = -4*f + 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1707908.2 to the nearest 100.\nAnswer: 1707900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74576, -74576, -74572, -74564, -74552?\n\"Answer: 2*d**2 - 6*d - 74572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(420)\/(sqrt(30)\/sqrt(3)))\/(sqrt(18)\/(-3*sqrt(3)))*-4 + 3)**2.\nAnswer: -3132 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -60. Let v = -19 + d. Suppose 3*r - 4*w + 4 - 39 = 0, 2*r + v*w - 8 = 0. Which is the third biggest value? (a) r (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/((-3920)\/(-180))*8\/78*2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151 and 33230.\nAnswer: 5017730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*a + 20, -3*p - 4*a = -2*a - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 15263417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 21. Let a be l(-5). Solve 4*p + 0*i = 2*i + a, 3*i - 2 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-702)\/(-24)))\/(((-11900)\/153)\/28)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + (4 - (106 + -143)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1423.\nAnswer: -426.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 2*n**2 + 7*n - 1. What is u(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (137 + -60 + -6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + i = -31, -u + 0*i = -3*i - 23. Let d = -4405 - -4409. Solve -2 = d*h + u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-five quarters of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 0, -7311?\nAnswer: -7311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose a - 6 = 3*l + s*l, 5*l - 3*a - 2 = 0. Calculate the remainder when (-1)\/(-2) + (-33)\/l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.0799.\nAnswer: -1.0799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 694*(-1)\/40*-422. Let a = b - 7334. Calculate the common denominator of a and 133\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45952287 + -8.\nAnswer: 45952279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + h = 9, -2*m + 3693 - 3714 = h for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11 and -0.52583.\nAnswer: -0.63583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1204, -1149, -1094, -1039?\n\"Answer: 55*q - 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103464 and 79514.\nAnswer: 8587512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + 1 + sqrt(432) - sqrt(432)) + 5 + sqrt(432) + -1 + (-2*sqrt(432) - sqrt(432)) + (-2*-3*sqrt(432) + sqrt(432))*-1)**2.\nAnswer: -840*sqrt(3) + 21193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9063 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m. Let n be v(-2). Suppose 0 = 3*w + 3*b - 24, 4*w + 2*b - 38 = -n. Suppose -o - 2*g = -5*g - 12, 3*g = w*o - 48. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2134*t + 3409*t + 2 + 24113*t.\nAnswer: 25388*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(192) + 0 - sqrt(192)) + 0)*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vddd when four letters picked without replacement from {d: 6, o: 2, v: 1, b: 1, m: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 15. Let q = a - -57. Suppose f = 140 - q. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h*o**2 - 7*h*o*t**2 + 3*h*t**3*v - 2*h*t**2*v - 2*h*t*v - 334913*o**2*t**3 + 156*o**2*t**2 - o*v - 2*t**3*v + v wrt t.\nAnswer: 18*h*v - 2009478*o**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205751 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3*y**2 - 3*y - 1. Let p be g(-2). Let a be (p - (0 - 1))*1. Factor 22 - 2*i**a + 7*i + i - 4*i - 24.\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20424 divided by 23\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 10*y**2 - y + 13. Let k be m(10). Suppose -2*c + 26 = -2*l, 2*c - k*c + 33 = -5*l. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - (-16)\/20. What is the smallest value in -2\/17, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 433 = 5*i + 518, -b - 4 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -121 (b) -0.6 (c) -4 (d) -3221 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyydddy. What is prob of picking 2 d?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -43) + -2 + 11 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 2, e: 2, m: 3}. What is prob of sequence mp?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4178.\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -165*p**3 + 5*p**2 + 5*p + 2. Let n(t) = 83*t**3 - 3*t**2 - 3*t - 1. What is 3*h(q) + 5*n(q)?\nAnswer: -80*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.3, 1, 0.03, 13.48?\nAnswer: 13.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:37 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3768 + -629258\/167. Is k != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -11, -3\/7, -2\/3, 3 in ascending order.\nAnswer: -11, -2\/3, -3\/7, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -87. Let o = f - -40. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16431*d - h + 10 = 16432*d, 7*d - h - 54 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 11*o + 25 = 0. Let x be (-2872)\/(-40) + (-1)\/o. Let i = 120 - x. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 divided by 5?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2652960\/611 + 4342. Let w = d - 9786\/3055. Calculate the common denominator of (-44)\/3*(-231)\/(-280) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*q + 17, 5*m + 25 = 7*q - 2*q. Let w be (-6 - m)\/2 + 1. Is w at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 44*c**3 - 20*c**2 + 188*c - 120 = 0?\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13782*s**3 - 7*s**2 + 7*s. Let r(q) = -54351613*q**3 - 27606*q**2 + 27606*q. Give -27606*n(a) + 7*r(a).\nAnswer: 4601*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*o + 13, -6*b - 5*o + 7 = -2*b. Suppose -1 = b*c - 13. Suppose 2*l = c*l - 8. Put l, 0, -5 in descending order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9133 * -0.33\nAnswer: 3013.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + ((-37)\/4 - 0) and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 8 = 2*z, z = 2*y - 6. Suppose 3*b - 560 = -y*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 9:08 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -704623, -1409246, -2113869?\n\"Answer: -704623*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 5. Let y(v) = -2*v + 4. Let n(m) = 4*y(m) + 3*z(m). Calculate n(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = -51*r + 3*u - 41, 0 = -4*r - 2*u - 66. Let h(g) = g**3 + 17*g**2 + 41*g - 14. What is h(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:14 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 20 = -3*t + 4*m, -m + 16 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-3 + 3) - 12 - (-22 - 9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2119211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/6*10\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**3 - 101*z**3 + 57*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytyttkkytkytk. What is prob of picking 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = t - 6, 3*m - 5 = -3*t + m. Let b = -1 + 4. Let d = t + b. 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 is the third derivative of -35992675*k**4 - 27*k**2 + 2*k - 1401 wrt k?\nAnswer: -863824200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -128 + (1041 - 975).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/13 + 8\/52. Which is bigger: -5\/3 or a?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 3)*(264 - 264 - 26*r) + (4 + 0 + 5)*(0*r + 0*r - r) - 3*r + r + 3*r.\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.206 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, b: 3, t: 2}. What is prob of picking 2 t, 1 b, and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 1.2. Let z = -14 + 11. Which is the second biggest value? (a) z (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -37*r + 6*r. Let s be (-10 - 15\/r)*1 + 5. Factor -d + s + 1\/3*d**2.\nAnswer: d*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 240, 540, 960, 1500, 2160, 2940?\n\"Answer: 60*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196620 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34748 and 5236?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 10*f + 2*f + 28 = 0, 3*y + 2*f - 2 = 4*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l - 84. Let q be k(-24). Calculate the greatest common factor of q and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/5 (b) -1\/9 (c) 0.1 (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547 + 545 + 7*b**3 - 1092.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h + 10. Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i - 2. Let c be b(-2). Suppose -1 - 1 = -d, 0 = 2*t - 4*d - c. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 7 - 0) + -2. Suppose x + 2*x = 0. Suppose 4*v + v - 60 = x. What is the greatest common divisor of v and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1566, -3126, -4688, -6252, -7818, -9386, -10956?\n\"Answer: -x**2 - 1557*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/9521 - -9437\/266588. Which is the fourth smallest value? (a) -0.1 (b) 0 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 52.04. Let t = 0.06 + y. Let c(w) = w**2 - 6*w + 1. Let h be c(5). What is the smallest value in 1\/4, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Is 5\/6 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 67332, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.1 * 1.09608.\nAnswer: 24.223368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 (base 8) in base 10?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9995?\nAnswer: 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790609831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.018, -3\/5, -0.1 in decreasing order.\nAnswer: 0.018, -0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 176*g + 1493 + 2386 = -5502 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o + 12. Calculate the remainder when j(0) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -65, -1 in decreasing order.\nAnswer: 2\/25, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -11.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/64 and 93\/80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 2*y - 3*y)*(-8 - 4 - 6).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 959*u. Let q(j) = -4*j**2. Determine q(g(s)).\nAnswer: -3678724*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - a - 8. Let d be i(-6). Suppose 4*x + x = d. What is the least common multiple of x and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -449, -1842, -4165, -7418, -11601, -16714, -22757?\n\"Answer: -465*y**2 + 2*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 33*z + 36.\nAnswer: -3*(z - 1)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*j + 522776 = -1960195 + 712587. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -23. Suppose 2*p = v, p + 0*p - d = 3*v. Let o be (3 + -4)*p*2. Solve 5*x + 30 = -5*g, x = -o*g - 2*x - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236492005*a**4 + 134481606*a - 1?\nAnswer: 2837904060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54\/5 of a microsecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (886\/46515)\/(2*(-4)\/80).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.8 take away -0.0641?\nAnswer: -48.7359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*-107\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 1\/5, 641\/67?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175602629?\nAnswer: 3, 391867543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -198880\nAnswer: 1\/198880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 + 567*a**2 + 51*a + 27453. Calculate v(-142).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.5 - -16. Sort 3, -5, b.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -252. Suppose -w*x + 120 = -6*x. What is the least common multiple of 60 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a = -109 - 488 - 1353. Solve -4*h - 29*f - 8 = -a*f, -5*h + 11 = -2*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73848, -73720, -73586, -73446, -73300, -73148, -72990?\n\"Answer: 3*s**2 + 119*s - 73970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9411029*k - 9410510*k + 18821540*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12*o**2 + 1826*o + 4649. Let d(u) = -9*u**2 + 1217*u + 3098. Let l(k) = 5*c(k) - 7*d(k). Differentiate l(i) wrt i.\nAnswer: 6*i + 611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*a = 35, 254*v = 249*v + 5*a + 50. Let z(c) = -2*c**2 + 22*c - 52. Determine z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -10 (b) -5 (c) -1 (d) -39 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/3*x**4 - 4\/3*x**3 + 9\/2*x**2 - 5*x + 0. Is r(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 389796 and 440?\nAnswer: 171510240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-97)\/(-15))\/((8\/12)\/(5\/(-3))) and 69\/(-22) + (-2 - -4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6110046 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t + 7. Let v be a(6). Let k = -8 - -8. Suppose k = 3*w - 2 - v. Are w and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 310596.\nAnswer: -35\/155298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 615884801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*f**3*q**2 - 3*f**3 + 4*f**2*q + 2*f*q**2 + 3 wrt q?\nAnswer: -64*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 194*k. Let z(x) = 5*x**2 + 86*x. Determine z(q(c)).\nAnswer: 188180*c**2 + 16684*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 8*x - 12. Let u(o) = 4*o**2 - 8*o - 12. Let a(g) = -4*f(g) + 5*u(g). Factor a(i).\nAnswer: 4*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(150)*2)\/sqrt(3))**2 + (sqrt(12) - sqrt(768)*1)\/((sqrt(6) - (-1*sqrt(6) + sqrt(6)))*2).\nAnswer: -7*sqrt(2)\/2 + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 244*g**2 + 11*g + 15*g + 245*g**2 - 47*g + 7*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 12*m + 12. Calculate i(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 370483 or 370478?\nAnswer: 370483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*w - 18 = -83*w - 4*n, 0 = 3*w - 3*n - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14736638663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*12\/(-208)*8\/24*2.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -964 or 321\/4?\nAnswer: 321\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/3 + 23056*h\/3 + 7686 = 0. What is h?\nAnswer: -1, 11529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10.8 (b) -3\/7 (c) 3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwoedmdh. What is prob of picking 1 e, 1 h, 1 m, and 1 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 9*m - 32. Let t(a) = a**2 + 9*a - 15. Determine -3*t(k) + 2*v(k).\nAnswer: -k**2 - 9*k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3868 - 3829. Solve 43 = -x + o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 35. Let j be z(11). Let s be 24 - j - 19*37. Let y = s - -1194. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/33)\/((8\/(-10))\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let q(a) = -14*a**2 + 3*a + 6. Let c(b) = 561*b**2 - 121*b - 242. Let f(y) = 6*c(y) + 242*q(y). Calculate i(f(o)).\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Factor -3*s**5 + 6*s**2 + 4 + h*s - 6*s**4 - 1 - 3.\nAnswer: -3*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -526*k - 6315 + 2039 - 3088 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 20*k + 72 = 4*s, s + 4*k = 28. What is the remainder when 1976 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 503327, 503338, 503347, 503354, 503359?\n\"Answer: -h**2 + 14*h + 503314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3920707 divided by 133\nAnswer: 29479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l*v**2*w**2 - 2*l*v**2*w + 2*l*v*w**2 + 568*l*w - 30*v**2*w**2 wrt w?\nAnswer: -20*l*v**2 + 4*l*v - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 125, 5, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = -62*r - 29 - 1521 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2320 and 17\/276000.\nAnswer: 8004000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2\/3*x**3 + 0*x + x**4 + 35 + 17*x**2. What is the second derivative of a(g) wrt g?\nAnswer: 24*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17524.863ns in minutes?\nAnswer: 0.00000029208105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5749*k + 2238*k + 5747*k.\nAnswer: 2236*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k + 638*k - 53*k = -20009 - 21401 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/17 (c) -1\/4 (d) 3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -16. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - (-312)\/11)\/(2\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/99, 2, -13728?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325 and 10153286.\nAnswer: 253832150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*s**3 - 3*s**2 - 424*s wrt s.\nAnswer: -60*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/((9\/(1224\/8))\/(-1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 43550 = -2*b, -39107 - 26209 = -3*b - 3*w. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b + 5. Let l be f(10). Let s(k) = -l*k + 5*k - k - 2. Calculate s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**7\/21 + 4*x**6\/15 + 6*x**5\/5 + 434*x. Factor q(z).\nAnswer: -2*z**3*(z - 6)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from zhkkkkkkk?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 5*l**2 - 5*l + 3. Let f be a(3). Let m be (0 - 3) + f\/24. Let s = -7\/24 + m. Sort -1\/3, 4, s in decreasing order.\nAnswer: 4, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - -67 - (-15 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267910 - -4?\nAnswer: -267906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-3 - -8) + -16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268967 and 1385.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -107. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338, 2314, 3290, 4266, 5242?\nAnswer: 6218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/279 + (1\/(-9))\/((-114)\/(-120)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + sqrt(126)\/sqrt(2) - sqrt(7)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570339 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is dc3710 (base 14) in base 7?\nAnswer: 120300020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331023214 (base 5) to base 13.\nAnswer: -1147c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -35*z + 1 - 4*z - 23*z**2 + 3 + 21*z**2. What is the units digit of m(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464142066?\nAnswer: 2, 3, 101, 313, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6\/11)\/q)\/(q*q**(2\/13)\/q))**(-2\/15) assuming q is positive.\nAnswer: q**(162\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + 2*sqrt(4032) + 3 - (sqrt(4032) - 2*((sqrt(4032) - (sqrt(4032) + sqrt(4032) + 1)) + sqrt(4032)) - sqrt(4032)))**2*-5.\nAnswer: -181445 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3\/8*t**2 - 1\/12*t**3 + 1\/2*t + 8 - 1\/20*t**5 + 3\/16*t**4. Let d(i) = 0. What is i?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(7\/5)\/l))**(-3\/4) assuming l is positive.\nAnswer: l**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1\/7411 (b) 0 (c) 3 (d) -4 (e) -8 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*b**3*j*w - 4*a**2*b**2*j + 2*a**2*b*j - 2*a**2*j*w + 5*a*b**2 + 4*b**3*j*w + 13*b**3 - b*j wrt b?\nAnswer: 12*a**2*j*w + 24*j*w + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3795 + -3645. Suppose 353 = -5*b + 78. Let r = h + b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 970*t - 47045.\nAnswer: -5*(t + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 83.33 (b) 4 (c) -7\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 2*q = -23, 41 = z + 4*q. Let j(v) = 2*v**3 - 57*v**2 - 17*v + 4. Is 16 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 - -656.71. Let p = -6.2 + l. Let q = p - 0.51. Which is the nearest to q? (a) -3 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244889.\nAnswer: 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:03 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (319 - 319) + (0 - -57) + -3 + 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2198 = -620*t + 4002 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 6. Let u be y(-3). Let v be (-5)\/(-3) + u - -3. What is the nearest to 0 in -0.5, v, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 1689.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/(-6)) - 3. Let h be 44\/(-24) - (-1 + k). Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 4. Let f be w(5). Suppose 3*k = -1 - 2. Find the common denominator of -6*(k + (-25)\/f) and 139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010212200 (base 3) to base 4.\nAnswer: -22103100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*d = 8, -1 = -d - 0. Let y be f + 34*28\/8. Let v = -68 + y. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171044 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 65*j + j**3 - 66*j - 2 + 1. Let a(f) = 8*f**3 + 2*f - 9. Let w(m) = a(m) + 2*t(m). What is the first derivative of w(y) wrt y?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -g - 5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*o - 4, -4*p + 2*o + 24 = 5*o. Suppose p*z - 4*z - 4 = 0. Let v(l) = -7774999*l + 4. Let m be v(z). Round m to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2603*o**2 + 0 + 12*o - 2613*o**2.\nAnswer: -10*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*l**2 + 24*l**2 - l**3 - 2 + l + 0*l**3 to the form g*l**3 + p*l + v + h*l**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1377) - (sqrt(1377) + (-1 + sqrt(1377) - sqrt(1377)))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + 0.1. Let i = x + -8.016. What is i rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -80 - 10. Suppose -337 - 183 = -5*q. Let i = q + v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 3, p: 2, c: 7}. Give prob of sequence ccp.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1407557\/366 + 11539\/3. Let f = -3590\/183 - q. What is the common denominator of 35\/8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-107822)\/(-91) + (-1 - (-24)\/21). Let z = -593 + j. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k + 10. Let m(y) = y. Let l(d) = 8*d**2 - 12*d. Determine k*l(q) - 12*m(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12717\/4 or -3179?\nAnswer: -3179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23857097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 33. Let o(n) = 10*n**2. Calculate q(o(f)).\nAnswer: -200*f**4 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9853.95 + 9854. Let p = 3 + -2.9. Which is the fourth smallest value? (a) 4 (b) -6\/11 (c) p (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904984?\nAnswer: 2, 113123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -891 - -889. What are the prime factors of (-5352)\/(-12) + (c - -3)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a2 + -3?\nAnswer: -4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m**4 - 1161*m**2 + 4*m + 112. Let v(a) = -13*a**4 - 2323*a**2 + 8*a + 224. Let r(w) = 9*j(w) - 4*v(w). Find the second derivative of r(x) wrt x.\nAnswer: -24*x**2 - 2314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*q - 203*q - 781 + 781 - 187*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a - a)*(5 - 3 - 1)*(109 - 109 + 9*a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*2\/40)\/(3\/(-6)). Let z(f) = -f - 5. Let y be z(-6). Is y at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58536317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -438445, -438469, -438517, -438595, -438709, -438865, -439069?\n\"Answer: -h**3 - 6*h**2 + h - 438439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/(-16) - 2\/8. Suppose q + 2*q = o. Let f(g) = -g**q - 6 - 3*g - 3*g + 0 + 2*g. Give f(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3)*n)**(-26)\/(n*n\/(n\/n**3)*n**(-2\/21))*(n*n**(-1\/2)*n*n)**(7\/3)\/(n\/((n**(1\/3)\/n)\/n)*n*n**0*n*n) assuming n is positive.\nAnswer: n**(-2705\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -76.9 (c) -3 (d) 1 (e) 1.001 (f) 4\/3 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 j when four letters picked without replacement from {j: 8, g: 2, u: 2}?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*i + 4 = -1, 5*i + 4 = -2*p. Suppose 0*v - p*v = 0. Suppose -r - 3*r = v. Solve -5*o + 0*z - z - 3 = r, 0 = o - z + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -451122361 + 3?\nAnswer: -451122358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 31\/6, -1\/3, -0.4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*y**2 - 1083*y + 255*y**2 - 103*y**2 + y**4 wrt y?\nAnswer: 12*y**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.278.\nAnswer: 0.1278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 27*r**3 + 5 + 2*r**2 - 7*r**2 - 28*r**3 + 5*r. Let u be (-8)\/4*-1 - 1. Let t be (2 - u)*6*-1. Determine f(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 402 + -398. Solve 3*m - 2*f - 9 = 0, m - 2 = 3*m - t*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t - 60. Suppose t = -4*m, 2*u + m - 180 = -3*m. What is the greatest common divisor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 7, -9, -354, 212, 1 in descending order.\nAnswer: 212, 7, 5, 1, -4, -9, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.045 - -0.11. Let g = 0.226 - i. Round g to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a**2 - 3*a - 6. Let s(w) = -8*w**2 - 4*w - 7. Let k(z) = -z**3 - 37*z**2 - z - 43. Let u be k(-37). Calculate u*g(h) + 5*s(h).\nAnswer: 8*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/1*((-2100)\/(-56) - 38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 18. Let r be k(8). Let v = r + 8. What is the derivative of v*c**4 - 9*c + 9*c + 10 wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3 - 6?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -74. Suppose -2*d + 5*d - 10 = -5*f, -28 = 3*f - 5*d. Which is the second biggest value? (a) f (b) p (c) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 5\/8, -9.377, 2, 0.5, -2, -5?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -3\/77 in decreasing order.\nAnswer: -3\/77, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.79 + -1.21. Let g = 0.5 + -0.3. What is the smallest value in g, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -0.3 (c) 0.07 (d) 724 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 5 - 4)*(4 - 4 + 15*y**2) - 2 - y**2 + 2)*(4*y - 2*y + 0*y) to t*y**3 + h + o*y + p*y**2 and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -285002 * -0.0636\nAnswer: 18126.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/5, 0, 2, -2, -1\/680 in increasing order.\nAnswer: -2, -2\/15, -1\/680, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 divided by -5?\nAnswer: -588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 4. Let s be n(4). What is the closest to 3\/10 in -2\/3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 4)*(0*c + 3*c - 4*c)*(-1 - 2 + 2).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 42 = 0. Suppose d + d = 4*h + j, 3*d = 5*h + 62. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.8 - -144. What is the fourth biggest value in -0.4, -0.5, 0.8, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + g**3\/3 + g**2\/2 + 6*g - 16. Let c(j) = -j + 5. Let b be c(0). Let u be 4\/10 + (-2)\/b. Give n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:07 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -290\/289 in -6.7, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4795938 - 0.02?\nAnswer: -7.4995938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -1 - 832\/260. What is the nearest to 2 in -1\/4, u, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4830 and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 26 + 30 = 0. Suppose 6*j - h = 5*j. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1, 386, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**3 + 53*a**2 + a + 27. Determine h(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1171767118 - 3.\nAnswer: 1171767115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6. Let x(o) = -o + 14. Suppose -j - 3*j + 50 = 3*s, 24 = j - 5*s. Let l be x(j). What is the remainder when 11 is divided by p(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q - 13. What is f(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19125 and 935.\nAnswer: 210375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**4 - 2*f**4 + (-2*f**3 + f - f)*(-3 - 8 + 4)*(f - 3*f + f).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*h - 31, 2*h - 17 = -2*f + 1. Suppose 3*d - 920 + 14 = -2*k, -h*k = -2*d - 2303. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1084300746*m + 672380774 wrt m?\nAnswer: -1084300746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 55163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1376995 divided by -4.\nAnswer: -1376995\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(5 - 5 + 2)*(6753 - 6753 - 3040*l).\nAnswer: -12160*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79274855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4 + 157*g**3 - 768*g**2 + 1220*g - 608 = 0. Calculate g.\nAnswer: 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 361359, -3, -6 in increasing order.\nAnswer: -6, -3, -2, 361359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -862 - -815. What is the second smallest value in -9, 4, x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -589.99046.\nAnswer: 353.994276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/(m**7*m))\/(m*m**0*m*m\/(m*m\/(m\/(m**(-8\/3)*m)))) assuming m is positive.\nAnswer: m**(-283\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*w = -2*t + 16, -5*w = 2*t - 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**3\/5 - 36*t**2\/5 - 432*t\/5 - 20. Factor k(o).\nAnswer: -3*(o + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547964823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18586, -37164, -55744, -74326?\nAnswer: -92910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6537670 is divided by 513.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Let k(y) be the third derivative of -y**2 - 1\/3*y**3 + 0*y - 1\/60*y**d + 1\/8*y**4 + 0. Factor k(z).\nAnswer: -(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 2. Let d be s(-2). Let z(y) = 10*y**2. Let t be z(2). Solve -3*u + 2*a = 23, -4*u + 2*a + 3*a - t = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - o**2 + 33*o - 75. Determine c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(15)\/(-6*3*sqrt(3) - sqrt(3)))**2.\nAnswer: -2*sqrt(5)\/19 + 366\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*l - 623*l = -475*l - 17024 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 3\/17, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 + 2) - -18. Suppose -y*r = -13*r - 476. Calculate the remainder when r is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -65 (b) -1\/6 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = 4. Let t(a) = a - 6 + 0 + b - 4 + a**2. Let v be t(-4). Solve -u + 7 = -3*c + 18, -v = -c + 5*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**3\/2 + 52940*y**2 + 281214850*y + 10055241000 = 0.\nAnswer: -10570, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3810800 by -5.\nAnswer: 762160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:22 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:15 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/3 (b) -5 (c) -3\/4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = 4*a. Calculate the remainder when 34 is divided by a\/(8\/22) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-15)\/(-7) - 2). Let d = t + 11. Suppose 0*r = -2*r + d*k + 16, -3*r + 57 = 5*k. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (372\/16)\/((-24)\/(-32)) + 0. Calculate the greatest common divisor of 217 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-20)\/(-180))\/((-14)\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y + 3 - 3)*(3 - 5 + 1) + 3*y - y + 0*y)*(-y**2 + 0*y**2 + 0*y**2).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y - 1. Let h(w) = 9*w**3 - 2*w**2 - 2*w + 12. Let l(n) = -h(n) + 2*q(n). Find the first derivative of l(g) wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 129 = 5. Let g = x - 28. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -487 - -734. Suppose 4*o = 12, f - 2*o - q = 195. Suppose f = 3*g + 1. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - p)*(2 + 4 - 4)*(-271*p**4 + 187*p**4 - 131*p**4 + (2*p - 3 + 3)*(2*p**3 - p**2 + p**2) - 8*p**4 - 19*p**3 + 19*p**3).\nAnswer: -438*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11386270*g**2 - 221*g**3 + 5693133*g**2 + 5693137*g**2.\nAnswer: -221*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4093425)\/(-226))\/(-207)*(-3)\/(-21).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times -0.002?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -39, -126, -287, -546, -927, -1454, -2151?\n\"Answer: -4*y**3 - y**2 - 6*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2114182 to the nearest 1000.\nAnswer: 2114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/304, -4\/45, -3, 6?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 19 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.879 and -1.\nAnswer: -1.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2052 divided by 6?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c4c0 (base 14) to base 5.\nAnswer: 34142132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -53, -146, -36 in ascending order.\nAnswer: -146, -53, -36, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -47*s + 339. Is r(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 2*o. Let f be (-2 + o)*(1 + -4). Solve 0 = f*w - 7*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/1379 + 39600\/1379. Let y = 2686\/105 - x. Find the common denominator of (-15)\/((21\/(-10))\/(57\/(-6) - 2520\/(-252))) and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1104 and 1242.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n = -100232 + 55099 + 53820 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671026558.\nAnswer: 2, 61, 13696939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 11. Let u = 83 - -1. Does 8 divide (-2)\/4 - u\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 1565 = 119*c + 1428 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*4\/(-3). Suppose d*j = -2*p + j + 1557, -4*p + 4*j = -3108. Let s = -526 + p. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -60*p**3 - 2*p**2 - 2*p - 2. Let y(j) = -59*j**3 - j**2 - 3*j - 3. Determine -3*k(c) + 2*y(c).\nAnswer: 62*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -11\/4, -3\/8, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 13 = -1. Suppose 4*b + 4*q - 68 = 0, n*q = -6*b + b + 70. Differentiate 2*k - 23*k - 6 - b with respect to k.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.04, 1, 1\/66.\nAnswer: -2\/11, -0.04, 1\/66, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 3, 93, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2876104 rounded to two decimal places?\nAnswer: 20.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 3*a + 18. Suppose -2*u - 2*o = 3*o - 40, 20 = u + a*o. What is the smallest common multiple of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:14 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 929711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408436290?\nAnswer: 2, 3, 5, 29, 52163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 8*c**3 - 5*c**3 - 3*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*y + 96*y + 68*y**2 - 14*y**2 wrt y?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-832)\/10 - 19\/(-95). Let u = v - -79. Let z = 53 + u. Is z greater than or equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 2*u = -3*s - 68990, -2*u = 2*s - 27610. Suppose -4*r + 0*r = s. What are the prime factors of ((r\/(-9))\/(-5))\/((-6)\/9)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2099 + 4*u**2 + 2099.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9 + 2\/(-3). Let j(z) = -5 + 8 - 17*z**3 + 3*z**3 - 2 - z**2. Give j(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40983?\nAnswer: 3, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 696793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 66.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-261)\/2175 + (-182)\/150 - (70\/(-57) - 0)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 5940296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6.16 + -5556\nAnswer: -5549.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34214611 (base 8) to base 4\nAnswer: -130101212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Let g(h) be the first derivative of -84*h**2 - 25*h + 17*h + 86*h**2 + 14. Give q(g(r)).\nAnswer: 12*r - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 18. Let j = -2106 - -6316\/3. Let q = -1.1 + 0.1. What is the nearest to i in -5, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*142607.\nAnswer: -142607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180626241?\nAnswer: 3, 17, 3541691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 26839129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y - 26. List the prime factors of k(14).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:13 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -12*n - 5*p - 22, 7*p + 38 = 5*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.095 to 1 dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3991139, -3991141, -3991145, -3991151, -3991159, -3991169, -3991181?\n\"Answer: -d**2 + d - 3991139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.2 + 4.8. Let w = -2044 + 2049. What is the biggest value in 3, p, 1\/3, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 28*s. Let c be a(-28). Solve 0*x + 3*x + 9 = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 392*l**3 + 35071*l**2 + 672792*l - 707472.\nAnswer: (l - 204)**2*(l - 1)*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 11. Let y be 2*a\/(-3)*15. Suppose 3*u - 2 = y. Solve 2*v - 2 - u = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 5. Let p be q(-5). Let o(w) = -w + 14. Let r = -91 - -103. Let j be o(r). Solve -6 = -j*k - p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (59\/5 - 1)*5. Suppose -x - 74 = -4*f. Suppose 0 = 3*m + r + 4*r - f, 0 = 4*m - r - 35. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = n - 819, 837 = 2*d - 255*n + 250*n. Solve -16 = -419*w + d*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 1 in descending order.\nAnswer: 1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -9 + 12 - (-4 - -30).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(60)\/sqrt(6)*4)\/(2*2*-2*sqrt(5)))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 - 11*o**2\/2 - 6*o + 13. Let d be r(-9). Let c(v) = 2*v**3 - 16*v**2 - 2*v - 7. Is c(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.453 to the nearest integer.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1. Let q(o) = -o**2 + 3*o + 3. Let w be q(4). Let k(h) = -6*h - 4. Let l(n) = w*k(n) - 2*y(n). What is the remainder when l(6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/104160 and 31\/1920.\nAnswer: 416640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(0 + sqrt(1331))*5 + ((sqrt(539) + 5 + 1*sqrt(539))*2)**2).\nAnswer: -17448 - 790*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 - (-4 - 0) - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 7. Let o be 1915\/9 + -8 + 370\/45. Let f = -213 + o. Determine k(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12715 and 8516836.\nAnswer: 8529551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 + 8 = j, -c + j = -2. Factor 9*z - 70*z**3 + 64*z**3 - z - c*z**4.\nAnswer: -2*z*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*r + a, -2*a + 4 = -r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 36 + 0 + -30 + (3 - 0)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6123 divided by 471\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 298\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = 2*a - 4*k, 0 = 4*a - k + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 6*t**2 - 8*t + 2. Let i be q(4). What is c in -2\/7*c - 2\/7*c**3 + 0 + 4\/7*c**i = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -24. Solve -5 = k*m + 3*s, -m - 4*m + 2*s = 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:21 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 525901 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Suppose c - 14 = -0. Suppose 22*f - c = 20*f. What is the second smallest value in f, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8814 and ((-119)\/(-14) + (2 - 0))*(-8)\/(-6)?\nAnswer: 61698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-171)\/54 - -3) + (-10)\/12. Let n be ((-2)\/4)\/((-90)\/(-12) + x). Let l = 25\/39 - -1\/39. Which is the closest to l? (a) n (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455 and 2634645.\nAnswer: 18442515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406300 divided by 20315.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:28 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 30. Let x be f(0). Let l = x + 68. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = c - 8, 3 = c - 2*h - 7. Suppose -c = -3*b - b. Suppose b = q - 2. Solve 0*m + 5 = q*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxsiooosioiscocoss. Give prob of picking 2 i.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 185 = -0*c. Let a = c + 42. Let q(d) = 2 - d + 0 + 0*d. What is q(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -100?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 33489*k + 368251. Calculate p(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 13*l - 1. Let r(o) = -3*o**2 - 13*o - 1. Let f(p) = r(p) - z(p). Let g(i) = -170*i**2 + 1. What is f(g(c))?\nAnswer: -28900*c**4 + 340*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011000111 + 1110?\nAnswer: -101010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11337, -12289, -13241, -14193, -15145?\nAnswer: -16097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 236 = 5*d, 5*i + 4*d - 39 - 247 = 0. Suppose -3*z - 5*c - i + 143 = 0, -4*c - 134 = -3*z. What is the remainder when z is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/116 and 55\/8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/15 - 67*k**5\/120 - k**4\/8 + 7*k**3\/3 - 8*k**2 + 3. Let m(o) be the second derivative of h(o). Differentiate m(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.962 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304\/9 - -34. Suppose -4*g + 5 = -p - 1, -g + 3 = -p. Let c = -8 - -7.8. What is the closest to g in c, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 2. Let q(s) be the third derivative of s**4\/24 + s**3\/6 + 32*s**2. What is 2*h(m) - 3*q(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -f - 2, 3*w + w = -4*f + 16. Solve 0*d = -w*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23222, 46419, 69616, 92813, 116010?\n\"Answer: 23197*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/13 - 2*u**3\/13.\nAnswer: 2*u**3*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 91 + (-2 - (-4 + (-21 + 7 - 0 - -2)))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-111)\/(-6) - (-28)\/(-56). Suppose 576 = -x*w + 2376. Calculate the least common multiple of 20 and w.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110337628?\nAnswer: 2, 27584407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -869324424*n. Let j(t) = t. What is i(j(z))?\nAnswer: -869324424*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10410, -41655, -93708, -166551, -260166, -374535, -509640?\nAnswer: -665463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -21*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -607*m**5 - m**2 - 416*m wrt m?\nAnswer: -12140*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 66*v**2 - 187*v + 113. Determine d(63).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**2 + 36*m - 81. Determine c(4).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*x + 55*g**2 + 2*g*x - 4*g + 400*x + 5 with respect to x.\nAnswer: g**2 + 2*g + 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 3, n: 2, o: 4}. Give prob of sequence no.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c - 48. Let v = c - -21. Suppose -45 = -5*f - 5*b, -2*f + 0*b + 3*b + 18 = 0. What is the highest common factor of f and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:42 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330632001 to the power of 1\/2, to the nearest integer?\nAnswer: 18183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4989.\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/23 (b) 2\/5 (c) -1\/3 (d) 10\/1377 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 2*l**2 + 6*l + 9*l**2 - 7*l to s + y*l + g*l**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 4*y**2 + 7*y + 7. Let x(t) = -t**3 - 4 + 0*t**3 + 0 - 4*t + 2*t**2. Let w(z) = 40*z - 724. Let l be w(18). Calculate l*b(j) - 7*x(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -56556 (base 11) in base 14?\nAnswer: -21b8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1169586213 + -1169586198.99999846. Let h = o + -14. What is h rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304418, -304499, -304580, -304661, -304742, -304823?\nAnswer: -304904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128445881 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 - 8*d + 8. Is 5 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5\/2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {o: 2, w: 4, h: 1, a: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111559, 223115, 334671, 446227?\nAnswer: 557783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 + 2*o**2 + 12*o + 9. Let s be t(-9). Suppose 2*l + 3*y = s + 8, -3*y = 4*l - 145. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 21*n**2 - 20*n + 5. Let s be y(17). Suppose -5*l - 261 = -s. Let d = 62 - 43. Calculate the remainder when l is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (4 + -2 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 3. Let d(f) = -f**3 - 14*f**2 + 4*f + 82. Calculate the remainder when d(-14) is divided by w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssswss. Give prob of picking 1 w and 3 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10.053 - 12.5\nAnswer: -2.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 3, 78, 5, -8, -13, 2 in descending order.\nAnswer: 78, 5, 3, 2, -8, -13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 35200?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/4, 44, -4, 151, -0.7?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15454.\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -34, 192, 572, 1142, 1938, 2996, 4352?\n\"Answer: 6*r**3 + 23*r**2 - 3*r - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 2. Differentiate 2 + 29 - 21*s**3 + d - 9*s**3 with respect to s.\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -34*w**3 - 253*w**2 + 20*w - 1008. Solve b(r) = 0.\nAnswer: -5, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 11*r**2 + 4*r - 3. Let s be t(10). Let h be s\/(-2) + (-3)\/2. What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjeeej. What is prob of picking 3 e?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 12726.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 15. Let a be c - (-1 - -5) - -4. What is the highest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -2*u - 1\/3*u**4 + 0 + 0*u**3 + 1\/720*u**6 + 1\/60*u**5 + 0*u**2. Let h(p) be the third derivative of z(p). Determine h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322124822, 322124827, 322124834, 322124843?\nAnswer: 322124854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-885)\/(-590)*(-2)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5966780 and 21\/160?\nAnswer: 47734240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 295411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 + 2*d**3 + 3*d**2\/2 - 7*d + 3. Suppose z = -3*z + 4*m + 24, z - 5*m - 10 = 0. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -97. Suppose h + 4 + 1 = 2*n, -4*n + 11 = -3*h. Suppose t = n*t - r. Solve -y = -t*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 15, r: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -312, -707, -1252, -2013, -3056?\n\"Answer: -11*m**3 - 9*m**2 - 291*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10237 (base 12) to base 3.\nAnswer: 1001220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -84. Let m be -1 + (x + 6)*(-22)\/36. Suppose 2*u - 2*l = 18, -3*u - 3*l - 2 = -5. Which is the smallest value? (a) -3 (b) -2\/13 (c) m (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 4. Let r be w(-7). Let h = 20 + -19. Let c(y) = y**2 + y + 1. Let f(i) = 5*i**2 + 2*i + 10. Let a(q) = h*f(q) - 6*c(q). Calculate a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 97528*u + 8318780.\nAnswer: -4*(u - 85)*(u + 24467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/60*7\/((-168)\/90)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 22 + -1 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*h - 4 + h - 19*h + 12*h - 19*h as r*h + v and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2088639 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-3))\/(538\/(-90) - -6). Let t = -135 + r. Let z be 26*(-3)\/(-3 - 3). What is the biggest value in t, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -27767*o**2. Let v(p) = 15*p + 50. Give v(w(q)).\nAnswer: -416505*q**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q - 6. Let n be p(-6). Let w = -31 + 37. What is the greatest common factor of n and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = -5*x - 46*x. Let a be -2*(-37)\/2 + 5. What is the greatest common divisor of x and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 3. Let f be o\/6*(-5 - 1). What is the greatest common divisor of f and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53671125*r**3 + 503586664*r**2 wrt r.\nAnswer: -322026750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + 2 + 1 - 5 + (-3 - 2 + 4)*(1 + 0 - 2) - 3 + 5 - 3)*(-d - d + d + (0 + 0 - 2)*(2*d - 2*d + 2*d) + d - 1 + 1 - 22*d + 11*d - 13*d).\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from {y: 11, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*l = -2*q + 305, -3*q - 2*l = -185. Let g = 60 - q. Sort -7, 0, g.\nAnswer: -7, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3, 2, -5 in decreasing order.\nAnswer: 4, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 6\/7)*14. Let u = v - 9. Sort -5, u, 0 in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 761 + -2740?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (186762*v + 8198*v**2 - 186762*v)*(0 + 0 - 1) + 3*v**2 - 5*v**2 - v**2 to the form o*v**2 + n*v + m and give o.\nAnswer: -8201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 199?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 3 = 19*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*c**3 + 114*c**2 + 39*c - 12.\nAnswer: 3*(c + 1)**2*(21*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = 4*x. Let j(u) be the first derivative of 5 - x*u**4 - 5*u**3 - 3*u**2 - 3\/5*u**5 + 0*u. Determine q, given that j(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9))**(-40)*b**9\/b*b\/(b*(b**(-9)\/b*b*b)\/b) assuming b is positive.\nAnswer: b**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567302 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.79 + -1.81. Let f = -0.02 - z. Which is smaller: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3169771 to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k + 4. Let b(d) = 70*d + 2. Let w be b(k). What is the tens digit of (w\/8)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187057393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*h - 87, 5*h + 182 = 2*t + 3*h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*225\/(-30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460911?\nAnswer: 29, 84859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n - 1. Let s(r) = -8829*r**2. Calculate h(s(l)).\nAnswer: 105948*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*h**4 + 10*h**3 - 4*h**3 - 4*h**3 + 8*h + 3 + 359*h**4 to m*h + k*h**4 + x + l*h**2 + t*h**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -20.24. Let n = -0.64 - q. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 5*t + 23, 4*f + 1095*t - 1088*t + 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42769402 divided by -515294.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w**(-12)*w)\/w*w)**(-12)\/(w**0*w*w*w*w**(-4)\/w*w) assuming w is positive.\nAnswer: w**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556589?\nAnswer: 11, 50599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392)*-2*2)\/sqrt(8))\/(sqrt(42)\/(sqrt(42)\/sqrt(175)))*-3)**2 + 0.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3. Calculate z(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Let c = 1.2 + -0.8. Sort -3, p, c in decreasing order.\nAnswer: p, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-17 - (7 - 16 - 15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22*a**(-34))**(1\/12) assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {h: 3, y: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -3, -7954, -3\/4, -1, 4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/6 - 11*j**3\/6 - 18*j**2. What is the units digit of l(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6402 and 2?\nAnswer: -1.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g + 1846. Determine z(139).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7738.6 + -7739. Suppose 0 = -4*g + 4*x - 12, 2*x + 7 + 15 = -5*g. Is c >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47106 + 13213.7.\nAnswer: 60319.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let j(f) be the second derivative of f**6\/360 + f**4\/4 + 3*f. Let a(q) be the third derivative of j(q). Calculate a(k(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 + 217*l**3*x - 3*l**2*x + 11*l*x - 627*l + 2*x wrt l.\nAnswer: 12*l**2 + 1302*l*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-310))\/(34\/(-255)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/12 - 17*p**3 - 2601*p**2\/2 + 2*p + 575. Factor m(o).\nAnswer: -(o + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 b, and 1 t when four letters picked without replacement from {p: 8, b: 2, t: 5, j: 1, y: 2}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*l + 3825 - 217*l**2 - 3818 - 28*l wrt l?\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 8 (c) -0.3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87516747806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 109?\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 5. Let i = 13 + -13. Suppose -3*z - 2*z + 12 = 2*n, 2*n + 8 = i. Calculate r(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103530002 - 4?\nAnswer: -103530006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in 0.269, 2, -0.3, -3, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16466221 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: Which is greater: -1602 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -42999844.3 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n - 5*q, -15*n + 12*n = -4*q - 31. Suppose 5*o - n*h - 3765 = 0, -5*h = o - h - 738. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10138144?\nAnswer: 2, 316817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h, -h - 26 = 3*q - 2*q. Let s = -17 - q. Put s, 12, 0 in increasing order.\nAnswer: 0, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.60694 rounded to one dp?\nAnswer: 74.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 86\/132 + -1 + 1456\/8736\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from {k: 3, v: 1, o: 2, q: 1, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from innnnnninni.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31381297.34739655 - -341807.34732255. Let h = -31039525 - s. Let r = -35 - h. Round r to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*9\/(-6). Let t(d) be the third derivative of 0 + 0*d**6 + 0*d**4 + q*d**3 + 3*d**2 + 0*d + 0*d**5 + 1\/70*d**7. Differentiate t(y) wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -26 (b) -0.055 (c) 2\/465 (d) 1 (e) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -88101?\nAnswer: 8810b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3091 - 1542 - 1549 - 25876*q.\nAnswer: -25876*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 - -294.4. Let j = l + -55. Let o = j + 3.9. Which is the nearest to o? (a) -5 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -0.4, 100\/9, -20 in decreasing order.\nAnswer: 100\/9, 3, -0.4, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*g**3*n**2 - g**3*n - 366*g**2 - 1511*g*n**2 - 50*g*n - 2*g + 2 wrt n.\nAnswer: -172*g**3 - 3022*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 0. Let p = -30.95 - q. Round p to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2174 by 1087.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 1415*x**2 - 64*x + 90560 = 0 for x.\nAnswer: -8, 8, 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -d + 3 + 11, -2*d + 18 = 5*b. Let j = 114 + -113. Put 6, d, -4, j in ascending order.\nAnswer: -4, j, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2 - 4 + 0)*(-4 + 4 + 6*g**4 - 4*g**4 - 4*g**4 + 3*g**4 + (5*g**2 - 2*g**2 - 5*g**2)*(-g**2 + 0*g**2 + 0*g**2)) + 3*g**5 - 2*g**5 - 4*g**5.\nAnswer: 3*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 + (-2 - -4). Suppose 0*c - c + 1 = q*z, 5*z = -3*c + 1. Suppose z*x - 123 = x + 2*g, 147 = x + 4*g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + h + 1 = 0, 0*w + 4 = -5*w + 3*h. Let q be w + 0*3\/12. Is q bigger than 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (1 + 0 - (78 + -66)) + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32392*f = -32395*f - 9, 2*c + 3*c - 3*f - 9 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496 - (43 + -25) - (-4 - 0\/1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2) - -54) + -3. What is the greatest common factor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137544 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 230624?\nAnswer: 230632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 10*s**2 - 11*s - 7. Let t be r(-9). Let a = 2 + t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc7 (base 15) in base 16?\nAnswer: -a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, h: 2}. Give prob of picking 1 o and 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/20)\/((-2)\/(-10)). Is 12 a factor of 44 + 4 + (l - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80220 and 79265.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 609, 1373, 2443, 3819, 5501, 7489?\nAnswer: 9783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-1197)\/315)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 95. Let n(w) = 4*w + 3. Let h(m) = 26*m + 15. Let f(a) = -h(a) + 5*n(a). Calculate k(f(z)).\nAnswer: -12*z - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + sqrt(300)*-1)*-4)\/(5*(sqrt(12) - (sqrt(12)*-2 - sqrt(12)))))\/((sqrt(80)\/sqrt(2))\/sqrt(8) - sqrt(20)\/(-3*sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/60961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)*-2*1)\/(sqrt(84)\/((sqrt(432) - 1*sqrt(432)) + sqrt(12))) + 0.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1 - (-3 - -3)). Suppose 0 = -4*q + 2*q + 44. Let y be 2 - 2\/(16\/q). Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48036 and -37?\nAnswer: 1777332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 32*v - 180. Let a be w(6). Let o = -57 + 60. Solve a - 3 = o*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = -5. Let i(d) = 2 - d**2 + 3 - n. Let l(j) be the third derivative of 3*j**4\/8 + 2*j**2 + 7*j. Determine i(l(q)).\nAnswer: -81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f. Let v(n) = -n**3 - 6*n**2 + 3. Let z be v(-6). Let w(j) be the second derivative of 0 + 0*j**2 - j - 1\/3*j**z. Give w(h(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 - -6662617.0191.\nAnswer: 6661789.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9852*x**3 + 206*x**2 + 50745*x**3 + 34450*x**3 - 14181*x**3 - 208*x**2.\nAnswer: 61162*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30579 rounded to the nearest one hundred?\nAnswer: -30600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50309 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -14) + 17 + (-12 - ((-5 - 2) + 4))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20223940819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -2*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5820, 46488, 156878, 371850, 726264?\nAnswer: 1254980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -5*f**4\/12 + 20*f**3\/3 + 367*f**2. What is v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.7 and -3?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2578555, -5157143, -7735743, -10314361, -12893003, -15471675, -18050383?\n\"Answer: -d**3 - 2578581*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 11*v - 47, 5*s - 9*v = -30*v + 79 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-8)*6)\/(-1). Let y be (a - -4)*28\/(-2). Is (-4)\/14 - 438\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 divided by 10?\nAnswer: 2427\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c9 - 26?\nAnswer: 4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70904 is divided by 17689?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from sfmwz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppwppppppppwpwpp. What is prob of sequence pp?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/300*(-4192)\/262?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)*k\/(k*(k*k**(-5\/6)*k)\/k))\/(k**5*k\/k**(6\/7)) assuming k is positive.\nAnswer: k**(-853\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -m - 2, 7 = 3*p + 2*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h - 3*h + 5*h + (24 - 14 + 1)*(0 - 2*h + 0) + 0*h + 2*h + 2*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2348.\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 440162 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5524 - -1201?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*m + 634*m + 4 = 9*q, -5*m = 4*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225030*j**2 + 43322*j + 2.\nAnswer: 450060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {g: 3, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let w(n) = -5*n**2 + 9. Determine -4*h(q) - w(q).\nAnswer: q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 34\/9 (c) -1\/2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 4. Let g be -5*1\/(z + 1). Suppose 5*l = -2*i - 15, 0*i + g = 3*i + 2*l. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6*a - 5. Let l be f(5). Let k be 4 + -4 - (-1 + l). Let y be 2 + 1 + 2\/k. Solve -1 = 2*s - m, 2*m + 18 = -y*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 c, 1 u, and 1 i when four letters picked without replacement from {d: 2, u: 1, i: 2, a: 4, c: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)*w)\/w*w\/w**11)**(-32) assuming w is positive.\nAnswer: w**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**(-2\/43))))\/z*z**(-1\/4))\/(z**(-5)*z)**(-11\/5) assuming z is positive.\nAnswer: z**(-7743\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 201*d**2 + 624*d - 420.\nAnswer: -3*(d - 2)*(d - 1)*(d + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 - b - 7. Calculate t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -71, 2, -3, -38, 5, 4 in descending order.\nAnswer: 5, 4, 2, -1, -3, -38, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:05 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1304bda - -1?\nAnswer: 1304bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 6823 + 3089 + 3154 + 5105 in the form d + l*h + y*h**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 78, -4, -0.1 in decreasing order.\nAnswer: 78, 0, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*r + 364 = 5*r, -u - 3*r = 126. Let k be 3\/(-1) + u\/(-10). Let f = 4 - 2. Sort 0, f, k in descending order.\nAnswer: k, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from rzlwwzpwwwz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5493579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 10:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6\/5*n + 8\/5 - 2\/5*n**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2987\/564?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 30*u**2 + 23*u - 55. Is l(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2545000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.77798129 rounded to 1 decimal place?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 + f - 6. Let n be j(5). Let r = -6 - -3. Which is the nearest to -2\/7? (a) r (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021 and 0.5.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512008 is divided by 284?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(245) + sqrt(245) + -5)**2*1.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - 1 - (37 - 40)) + 10 + -9 + 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1790719*t**3 + 30*t**2 + 15730*t.\nAnswer: 10744314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**3 - 63*y**2 + 68*y**2 + 5*y**3.\nAnswer: 5*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -3*(-3)\/(-9). Find the third derivative of -5*c**5 - 9*c**2 - 2*c**2 + 3*c**5 + 2*c**o wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1387, 2803, 4289, 5881, 7615, 9527, 11653?\nAnswer: 14029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-1 - -2*(1 + sqrt(13)).\nAnswer: -8*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 22*q - 293. Let c be l(-12). Solve -v + 27 - c = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 722*w**3 - 2 - w - 921*w**3.\nAnswer: -1643*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 263, 229, 175, 95?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*t + 3304 = -496*t for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/14 + (-72)\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 199*w - 84 - 66.\nAnswer: 199*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 12 - 5)*(-4 + 5 - 2)*(3 - 3 - 4*u).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -72720 divided by 1?\nAnswer: -72720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193264871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 9*p. Let g(n) be the second derivative of n**6\/180 + n**3\/2 - 5*n**2\/2 + 48*n. Let l(z) be the second derivative of g(z). Give d(l(m)).\nAnswer: -16*m**4 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - (90 + -51)) + (0 - 56).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**4))\/(s*s\/s**3))\/((s*(s\/s**(1\/3))\/s*s)\/(((s\/s**(-1))\/s)\/s))*s*s*s**5*s**(-3)*s\/(s*s**(-1)*s)*s**(-2\/25) assuming s is positive.\nAnswer: s**(544\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15740010.72ns to weeks.\nAnswer: 0.00000002602515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -863601659 and 5.\nAnswer: -4318008295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2158579916 and -0.05.\nAnswer: 2158579915.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-18 - (-6 + -2)) + 0 + -15\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = w - 68, 5*m = -5*w + 2*w + 116. Let k be (-4)\/(-7)*(-11)\/m. Which is the third biggest value? (a) 4 (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*f + 21 = 2*r, 20 = -4*f. Let i = 5 - r. List the prime factors of i\/15 - 274\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 + j**3\/6 + 25*j**2\/2 - 4*j. Give w(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-16)*(-3 - 1). Suppose 3*d = -f, -2*y - d = -3 + 10. Let n be (-17)\/y + 0 + -2. Solve 3*k - 4 = 3*l + 11, 0 = l + 3*k - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:57 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = n - 11, -4*n = -n - 3*q + 3. Let k = -2 + 7. What is the third smallest value in 4\/3, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -218, -464, -808, -1250, -1790, -2428?\nAnswer: -3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 + 2 = 0. Let z = 1064 - 974. What are the prime factors of (324\/z)\/((-3)\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 625 - 621. Suppose m + 2*c - 2848 = -3*m, o*c = -3*m + 2126. Is m a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 904, -1, -5, -65.\nAnswer: -65, -5, -1, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from hhhzhhhzh?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 721436793 and 2961.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2155210 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let h = 16 - 20. Let l be 4*1\/4*-5. Let r(o) = o + 1. Let p(s) = h*u(s) + l*r(s). What is p(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-21 + -2 + 25 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 579479 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171) + -1*sqrt(171) + sqrt(171))) + sqrt(171) + sqrt(171))*-2)\/sqrt(9) + -5 + 4.\nAnswer: -1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22790114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 325 and 0.3802?\nAnswer: 123.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:00 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015591971 rounded to 6 dps?\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*y**3 - 426*y**3 + 976*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + w. What is d(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7*o - 26*o - 21*o - 61*o - 41*o)*(6 - 6 - 3*o).\nAnswer: 468*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 + 144*f**3 + 1564*f**2 + 2520*f = 0. What is f?\nAnswer: -7, -2, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - -0.78. Let y = 23\/96 - -3\/32. Is y at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/40 - (-4)\/10. Which is the nearest to -0.1? (a) -2 (b) -3\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(0 - -4) + 6. Let p(g) = 4*g**2 - 6. Let o(z) = -5*z**2 + 7. What is u*o(w) + 6*p(w)?\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 80*v = -83*v + 1461, -2*t = -3*v - 1431. What is the smallest common multiple of t and 21?\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -0.25308105.\nAnswer: -45.74691895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 8. What is the tens digit of (31 - x) + 3\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 395, 401, 407?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2988 divided by 6\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 302? (a) 18 (b) 5 (c) 0 (d) 0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1121887 + -20?\nAnswer: 1121867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 263086.149 and 0.0927?\nAnswer: 263086.0563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, -3, -2\/3 in descending order.\nAnswer: -2\/3, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 15*q - 12. Calculate k(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 9*l - 20, -2*l - 32 = -4*p. Suppose 5*i + 52 = r - 6, 316 = 4*r + i. What is the highest common divisor of p and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340\/(-51) - 1*(-2 + 35\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 - 2*d + 2*d + 0*d**2. Let x(t) = t**2 - 1. Let j(b) = 2. Let i(o) = -j(o) - 2*x(o). Calculate c(i(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/17? (a) 0.4 (b) 11 (c) -3 (d) -32 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -121c76 + -122?\nAnswer: -121d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155, -157, -161, -167, -175, -185, -197?\n\"Answer: -a**2 + a - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -700*c**3 + 1433 + 946*c**3 - 659*c**3 wrt c?\nAnswer: -1239*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370 divided by -395?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -3. Suppose 4 = -12*p + 14*p. Let w be p + ((-68)\/3)\/(4\/(-6)). What is the greatest common factor of w and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(-16)*(k**(-1\/2)\/k)\/(k*k\/(k*k**(5\/2))) assuming k is positive.\nAnswer: k**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + 83 - -55 - 125?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 8*r**2 - 18292*r - 2058840 = 0.\nAnswer: -215\/2, 2394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*o - 5*v + 11, 3*o = v + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:33 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f**2 + 33*f - 1306. Let d(c) = -9*c**2 + 23*c - 653. Let b(s) = 3*a(s) - 5*d(s). Differentiate b(y) with respect to y.\nAnswer: -18*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134027?\nAnswer: 101, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose w*r - 2*x - x = -12, -3*r + 20 = 5*x. Solve 1\/2*n**4 + 3\/4*n**3 + r*n + 0 - 1\/2*n**2 - 3\/4*n**5 = 0 for n.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 9, j: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 128*z**2 + 129*z - 5. What is p(-129)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose o*i - 25 = y, 1 - 7 = -2*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1 + 49 + -12. Let o = x - 23. What is the greatest common divisor of o and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39757 is divided by 9892.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:54 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2102 + -1050450?\nAnswer: -1052552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -114*z**3 + z**2 - 1. Let s be y(-1). Calculate the highest common factor of s and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772*v + 773*v = 5*u - 19, -5*v + 3*u - 7 = 0. Solve -4*g = s + v, s + 37 - 31 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + i)*(4 + 1 - 3) + (-2 + 2 - i)*(-1 + 3 - 3).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524776 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*y**2 - 221*y - 11568.\nAnswer: -46*y - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*2 + 5.\nAnswer: 5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*((-9)\/15)\/(108\/24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(7)*1))\/(sqrt(512)*2) + (sqrt(135)\/(1*sqrt(5)))\/(sqrt(9) - (sqrt(9) - (2*-1*sqrt(9) + sqrt(9)))).\nAnswer: -15*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -66. Let c be (16\/10)\/(g\/(-275)). Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*n + 168*n - 2*q = 18, 3*q = 5*n + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**5\/5 + 15*q**4\/4 + q**3\/3 + 16*q**2 - 148. What is the third derivative of x(p) wrt p?\nAnswer: -48*p + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/20)\/((-2)\/(-5)). Suppose -3*b = u - 10, b - h = -0*u + 2*u. Suppose 0 = b*o - 28 - 11. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1 (c) -1\/23 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*v = -162*v - 335 - 445. Is v > 113\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 28. Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqctfscds. Give prob of sequence dcs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 141213 (base 5) in base 12?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -7413\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*l**3 - 2461*l**2 + 376530*l.\nAnswer: 174*l - 4922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-28))\/(36\/(-63))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2174 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (83 - 2) - (-8 + (-7 + 14 - -12))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162958?\nAnswer: 2, 59, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 395 and 869.\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -15 in decreasing order.\nAnswer: 5, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h - 82. Let j = 88 + h. What is the remainder when j is divided by (160\/8)\/(-1 - (1 + -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*l = -1355*l + 1120 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -15. Let k be (-3)\/9*48\/(-4). What is the units digit of (-32)\/(-6)*u\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:47 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-5) + 3\/15. Suppose q - l*p - p = 23, -4*q - p = -27. Let j(z) = z - 7. What is the units digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + d. Let n be y(-1). Suppose -x + 0 - n = 0. Let g(u) = u**3 + 4*u**2 + 2*u - 2. Give g(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - h = -0*r + 11, -3*r = h + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -31.\nAnswer: 46\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6669 is divided by 547?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 74*u + 11. Calculate b(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17016730 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: Calculate -0.1*-3267.\nAnswer: 326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 783473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 113 - 9. What is the remainder when 34 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/3 + 8932*x**3\/3 + 514573*x**2\/3 - 351982*x + 177480 = 0.\nAnswer: -8874, -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -98, -75, 4\/3, -2\/15, 0.3, -40?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44937*k*u**2 - 11380*k wrt u.\nAnswer: -89874*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 222 + 290?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2460?\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 47 = -1017*i + 1022*i, 1 + 2 = 2*v - 5*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143208 is divided by 47705?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 697*j + 698*j - 7410 = 0, -y + 3699 = -j. What are the prime factors of y?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/8 (b) 0.03 (c) 1\/3 (d) 0.5 (e) -1.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5403 - -9?\nAnswer: -53a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-40))\/((-2)\/10) + 3487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 7*u**2 + 18*u + 23. Let f be z(-2). Which is smaller: f or 35?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -59, -52, -25, 28, 113, 236, 403?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 25*j - 87. What is p(21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6930?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21835 + 21843. Let j = 478 - 56. What is the remainder when j is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36841362 (b) -5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46785, 46774, 46773, 46788, 46825, 46890?\nAnswer: 46989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 343918?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j\/(j**(1\/2)\/j)))\/j*j)**2\/(j*j**(-5\/3)\/j*j\/j**(-3\/7)*j) assuming j is positive.\nAnswer: j**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 121*q**3\/3 + 196*q**2 - 932*q\/3 + 464\/3.\nAnswer: (q - 116)*(q - 2)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-160)\/(-25) + -4 - 8\/20. Solve h = -4*t - 5*o + 8, 0 = 6*t - 4*t + o + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/2)\/(((-160)\/1410)\/16).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let p = -316 - -319. Let l(f) = -p + 0 + 5 + f - 7*f - 1. Determine -l(w) + 4*r(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*k - 3, -2*l + 9 = -0*l - k. Solve -2*x - l = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-8) - (-1)\/(-4). Put h, 3, -4, 2 in increasing order.\nAnswer: -4, h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*z - 8 - 28, -4*z = 16. Differentiate 57*d**t - 12*d**3 + 12*d**3 - 3 - 46 wrt d.\nAnswer: 228*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032487*-0.06167.\nAnswer: 0.00200347329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (496 - 1310 + 519)*(-9*j - 5*j + 2*j).\nAnswer: 3540*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*c**2 - 3 - 69*c**2 + 3)*(902 - 317*c**2 - 902).\nAnswer: 3170*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -40*a - 201. Let o be y(-5). Which is smaller: -8\/95 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 35*k = 35*k - 459 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 12*v = -466, n + 5*v = -1491 - 1455 + 2749 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 83311*a + a**2 + 11 + 236143*a.\nAnswer: a**2 + 319454*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.8 less than -121.89?\nAnswer: -205.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 45000. What is m rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97979491*q**2 + 713575*q + 67 wrt q.\nAnswer: 195958982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 16 = -10*d, g + 82 = 5*d + 75 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -614221.821 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-50)*-10 - 63\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/360 - 2*p**4\/3 + 8*p**2. Let h(o) be the second derivative of w(o). Let u(s) = 52*s**2 - 2*s. Give h(u(g)).\nAnswer: -104*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55273 is divided by 27595.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:45 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n = -7*n + 376250. What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 6*x - 14. Let o be r(8). Solve -o + 1 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.570907 + -13.\nAnswer: -12.429093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -254.0576 + 0.0576. Let v = 297 - w. Let y = -551.00000499 + v. What is y rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.08 - 0.08. Put 4, 0, h in descending order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15.96767 decades?\nAnswer: 1916.1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 13*h - 4*h**5 + 13*h + 3*h**5 + 3*h**5 - 4*h**5 - h**5 + 2*h**5 - 2*h**5 + (4*h**4 - 3*h**4 - 3*h**4)*(3*h - h - h).\nAnswer: -5*h**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2188, 1, -5, 3 in descending order.\nAnswer: 6, 3, 1, -5, -2188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 55.5. Let z = -5.5 + d. Sort -0.7, z, -1 in decreasing order.\nAnswer: -0.7, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 = -4*k + 10, 0 = -2*a + 4*k. Solve 4*g = 0, 3*r - r = -5*g + a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {e: 4, n: 3, l: 1, s: 10, d: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:42 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:46 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j**2 - 138*j**2 + 60*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 60*u + 17 - 140*u + 70*u. Let z(a) = 3*a - 6. Calculate -3*o(c) - 8*z(c).\nAnswer: 6*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, m: 10}. Give prob of sequence mm.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 75. Let o(c) = -9 + 2 + 11 + 4*c. Determine o(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21792 + -14266. What are the prime factors of j?\nAnswer: 2, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -6*x**2 - 7\/6*x**3 + 2\/15*x**5 + 0 - 1\/120*x**6 - 1\/4*x**4 + 0*x. Determine a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -1\/3*z**3 + 158*z + 0 + 0*z**2. Let y(r) = 36*r**2 + 4*r. Determine y(c(t)).\nAnswer: 144*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52134329328 - -52134320341.2520371. Let p = u - -8943.74796. Let h = p + 43. What is h rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 divided by -2?\nAnswer: -633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 73703547*h\/2 + 5432212840381209\/4.\nAnswer: (h + 73703547)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = n + 13, 0 = -9*n + 13*n - 3*y + 1. Suppose -3*c + 329 = l, -n*l = -2*c - 0*c + 230. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -105763.\nAnswer: -12\/105763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29 = 9. Calculate the lowest common multiple of 76 and b.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238\/26 - ((-416)\/130 + (-436)\/(-130))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 52 = 13. Suppose 0 = -q + m - 10. Suppose 31994 = j + q*b, -128008 = -6*j + 2*j + 4*b. Round j to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 + -35168.\nAnswer: -35172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -86. Let d = f + 34. Let n = 4 + 0. Which is bigger: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/49464 and -59\/1832.\nAnswer: 49464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 64. Calculate the common denominator of 3 + ((-12)\/v)\/(15\/(-26)) and (-114)\/(-4)*(-2)\/(-44).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-41)\/(5863\/(-22)))\/(75\/65))\/((-8)\/(-6))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - v = 4*x - 317, -13 = -6*x + v + 115 + 335 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487324 is divided by 512?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*f - 82 = -3*n, n = -5*f + 4. Suppose -u + 4*t = 4*u - 31, 2*u = -5*t + n. Calculate the remainder when 12 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 195024 - 194979 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-63)*(-42)\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6091207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 11, f: 6, y: 2}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.21894 and 0.23619.\nAnswer: 0.01725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 4 - (19 + (50 - 58)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/164) - -4. Suppose 4*i - v = -5*k, 0 = 5*k - 3*i - 6 - 4. Suppose 3 = 5*o - 0*o - 4*j, 4*o + 3*j - 21 = 0. Solve k*w = 2*w - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 p, and 1 k when four letters picked without replacement from {k: 12, m: 2, p: 4, b: 1}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:12 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 + 4 = 0. What is the nearest to l in -1\/4, -0.5, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.2 (c) 1.2 (d) -1\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 0.3, 7, -269?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + 4\/(-10)*((-3420)\/(-40) - 68).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) - (-299)\/(-52)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and -8\/768795 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 1223607*b**2 + 19*b - 1223848*b**2.\nAnswer: -241*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2935 is divided by 226.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2*r - 510 + 514, 0 = -u - 4*r - 4*r + 68 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -1, -27, 5, -4, -11 in descending order.\nAnswer: 5, -1, -3, -4, -8, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 4, r: 1, o: 2, y: 1}. What is prob of picking 2 d and 1 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(475) - (sqrt(475) + sqrt(475)*-2))*6)**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.068 and -10?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11793483?\nAnswer: 3, 13, 100799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -6e?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:29 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2773, 5250, 7727, 10204, 12681?\nAnswer: 15158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452 + 1058. Suppose 2*q + 2*k = w, -3*q = -2*k - 1196 + 292. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 6*g**2 + 8*g + 10. Give y(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -5*i**4\/6 - i**3\/3 - i**2\/2 - 3*i. Suppose -5*c - 4*x - 4 = 1, 0 = -c + 5*x - 1. Determine j(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/60*324)\/(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8795, -24, 2, 4 in decreasing order.\nAnswer: 4, 2, -24, -8795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8660 and 647768.\nAnswer: 3238840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 884 = -5*f + 1159, -141 = -3*n - f. Let i = -1.1 - -0.1. What is the third smallest value in i, 1, n, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-63) + (960\/(-84) - -11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l**2 + 100*l + 7. What is s(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -2. Let a = -3.3 + 3. Let m = x + a. Put 1\/6, -2\/3, m in decreasing order.\nAnswer: m, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 446*q**2 - 446*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 216734.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(5\/(-10) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -7*d + 12*d - 1649, -4*d + 1312 = 2*r. Calculate the highest common divisor of d and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 3*t + 7, -4*t = 4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n + 50*n**3 + 63*n + 50*n**3 + 445*n**3.\nAnswer: 545*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + 0*b)*(b + b**2 - b) - 1 + 93*b**3 - 42*b**3 + 26*b**2 - 48*b**3.\nAnswer: 4*b**3 + 26*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = 0, 5*h = -5*t + 186 + 34. Calculate the highest common divisor of h and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-15)\/(-1620))\/(10\/15).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*r + 2. Let q(b) = -71*b - 4. What is the units digit of q(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 102740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9203 + -331453\/36. Calculate the common denominator of s and 87\/21*(-371)\/(-318).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) - (sqrt(980) + sqrt(20) - sqrt(20))**2).\nAnswer: -4900 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*x - 7*x. Suppose -5*i - 356 = -3*v, -2*v + 480 = 2*v - x*i. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1229\/7 - 48\/84. Suppose -3*t - l = -2*r - 4*t, -t + 349 = 4*r. Calculate the smallest common multiple of r and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 5*p - 6. Let u be r(-3). Let n = -17 - u. Does 13 divide (78\/24)\/(n\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 213 in 504, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41817\/2 - -20909. Let q = -2 - -1.6. Let j = 0.3 + q. Which is the nearest to -2\/5? (a) t (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4 + 8. Let z = -2 - -6. Suppose 0 = -a - c + 6, 5*a + z*c = 5*c + 24. Put t, 2, a in descending order.\nAnswer: a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/46407877 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3505 - 3407. Calculate the highest common divisor of w and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x - 4. Let j be k(6). Suppose -3*h = -5*l + 46, 0*l + 5*l = -4*h + 32. Let f(i) = -i + 9. Let z be f(l). Solve j = -3*r - z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (32\/5 + -2). Which is the closest to -1? (a) 4 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -859 (b) 0.5 (c) -231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 100452987876.675?\nAnswer: -100452987877.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53\/4 (b) -0.7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 577\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-46)*(8 - 0). Let q(b) be the first derivative of 7 + 3\/10*b**k + 0*b**3 - 1\/5*b**2 + 0*b + 4\/25*b**5. Suppose q(g) = 0. Calculate g.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34068 + -34064. Put 38, -3, h, 1, 12 in ascending order.\nAnswer: -3, 1, h, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:25 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-7))\/(513\/(-10906)))\/((-66)\/(-99))*3.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 264, 267, 278, 303, 348, 419, 522?\n\"Answer: h**3 - 2*h**2 + 2*h + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzj when three letters picked without replacement from {n: 2, x: 5, j: 2, z: 11}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*1*(2 - (-3 + 6 + 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -319215, -3, -2.\nAnswer: -319215, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1.79.\nAnswer: -0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(2*-2)\/(4*1\/2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2592762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 474*c + 27626. Calculate l(-57).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-162)\/(-3) + 1 + 3. Let o = -44 + r. Let m = -273 + 329. What is the highest common factor of o and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 9) to base 16.\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.3, 3.4 in increasing order.\nAnswer: -0.3, 3.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*136\/420 + (-4)\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 4796.\nAnswer: -4791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 - 18*k - 227. Let f be p(-7). Which is the second biggest value? (a) -1\/3 (b) 0 (c) f (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1912 = 3*d + 232. Suppose 0 = -3*q - 7*q + d. Let p = 831 + q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 220852 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnq when three letters picked without replacement from {n: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2088)\/957)\/((-3)\/(6\/(-12)*-4))?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.006, 24, -4?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a - 104716*a**2 + 3*a**3 + 104735*a**2 - 1 - 2*a**3 to the form u*a + p + k*a**2 + y*a**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 2. Give f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 34, 36, 38, 40?\n\"Answer: 2*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5 - b**2 - b**3 - 1 - 9*b - 2*b**2. Let u be j(-3). Let t be (u + -15)*(-18)\/(-4). Solve 0 = k - 3*m - 14, 5*m = 2 - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*r = r - 8, -r = m - 4. Let n(z) = -24*z + 28. Let x be n(1). Solve -8 - m = x*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-59878)\/(-117) - (7\/9 - 1). Suppose 5*l - z - 113 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3330606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/9*1383 + (-3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3150 - 132*l + 3150 to g + o*l and give o.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 80.75955g?\nAnswer: 0.08075955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331 + -326. Put z, 4, 6 in ascending order.\nAnswer: 4, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3.0081?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8473 - 9*n - 2816 - 2837 - 2820.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000776152338 rounded to seven dps?\nAnswer: 0.0000776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28259.12 - 1902050.\nAnswer: -1930309.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, 9, 4\/15 in increasing order.\nAnswer: 0, 4\/15, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30312.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 356.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395367*m**2 + m - 11976741?\nAnswer: -790734*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31375349 is divided by 272829?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g + 14*g + 37*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 31. Let x = 16.4 - s. What is the biggest value in x, -1, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**6\/3 + 106*u**5\/5 + 503*u**3\/3 + 64. What is the third derivative of h(t) wrt t?\nAnswer: 120*t**2 + 2544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -8*q**7\/7 + 2*q**5\/5 - 16*q**3\/3 - 9. What is the third derivative of w(g) wrt g?\nAnswer: -960*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -28*(-3 - 34\/(-14)). What is the highest common factor of 30 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d287 (base 14) to base 13\nAnswer: -7cb89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.06?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-7\/5))\/z))\/((z\/(z*z\/(z*z**(-5)\/z)))\/z))**23\/((z*(z**3*z)\/z)**(-23\/5))**(-23) assuming z is positive.\nAnswer: z**(-1357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3\/18*2). Suppose 3*y - p = 3. Suppose -4*g = 5*a - 20, -3*g - 475 + 487 = 3*a. What is the smallest common multiple of y and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42 - 34)*18\/2. Suppose v = 4*w + 2*k, -4*k + 54 = 3*w - 10. Solve 0 = 4*t - 3*b + 5*b - 10, -w = -5*t + b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let b(r) = r**2 - 2*r - 4. Let z be b(3). Let k be (z\/2)\/(1\/(-4)). Let q(y) = 6*y + y + k*y - 2*y. Give g(q(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6, -1644, -3\/8, -9 in ascending order.\nAnswer: -1644, -9, -6, -3\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 3*d, 0 = 6*v - v + 4*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77) + 2*sqrt(77))*3)\/(sqrt(11) - (sqrt(396) - (sqrt(396) - 2*sqrt(396) - sqrt(396)))))**2.\nAnswer: 2268\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -240*x + 92. Calculate u(-1).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 1\/(18\/126) + (17 - (2 - 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h. Let o be s(-3). Suppose 0 = 5*i + w - 22, -i + 8*w - 3*w = o. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3683 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*h**2 - 19134*h**3 + 270*h**2 - 2548*h**3.\nAnswer: -21682*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-20)\/2)\/((-12)\/(-8)). Sort 4, 11, s in descending order.\nAnswer: 11, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6*a - 11. Give v(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - -14. Suppose 0 = 4*v - 3*v - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 + 14*q - 31*q + 16*q. Let r(b) = 3*b**2 - 6*b - 5. Determine 4*a(o) - r(o).\nAnswer: -3*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 2*g + 24 - 13.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -311*x + 0 + 2 - 2 as o + r*x and give r.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5924 by -63.\nAnswer: -5924\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11165 divided by 7?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7*w + 20. Suppose 3*m = y + 43, -m - 3*m + w*y = -68. Solve j + 1 - m = -3*q, -31 = 2*j - 5*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 104 = 0. Calculate the remainder when 51 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -s - 7, 0*r - 3*r = -s + 9. Solve j - 3*p - 9 = 0, s*j - j + 10 = -p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 404 + 43?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -32*p**2 - 2*p - 1. Let b be n(-1). Let k = b - -35. Solve -4 = -2*i, -k*i + 2*i + 6 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 64. Suppose s = 6*i - 4*i. Suppose -i + 1 = -5*k. Solve -k = 3*b - d, 0 = 2*b - b - d + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -37, -8, 41, 116, 223, 368?\n\"Answer: f**3 + f**2 + 5*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 62*o**2 - 4*o - 86. Calculate the remainder when d(-31) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 0.043 (b) -8 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r + r)*(-417*r + 262*r + 243*r) - 9*r**2 + 395*r**3 - 2 + 2*r - 394*r**3 + 0.\nAnswer: 177*r**3 - 9*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118798 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18*a**(-14\/9))**(2\/49) assuming a is positive.\nAnswer: a**(296\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y. Let i(x) = 8076650*x. Give a(i(b)).\nAnswer: 24229950*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -74*h + 589. Let b be y(9). Let i(n) = -14*n**3 - 3. Let f(k) = -363*k**3 - 77. Calculate b*i(d) + 3*f(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98317 + -24096.10386.\nAnswer: 74220.89614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 3*f**5\/20 - 5*f**3\/6 - 20*f + 6. Let g = -18 - -12. Suppose -3*s - 18 = 12. Let r(j) = -2*j**3 + 3*j. Give g*m(t) + s*r(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)*f*((((f**0\/f)\/f)\/f)\/f)\/f*f*f**(-2\/45)\/f*f*f**(-2) assuming f is positive.\nAnswer: f**(-1951\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Suppose -317 = -u*v + 103. Let x = v - 69. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:39 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 155.15 and -1805883.\nAnswer: -1805727.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5*s**4\/4 + 2*s**3\/3 + 3*s**2\/2 + s + 1. Let j be 8\/14*49\/(-14). Is n(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -84, -153, -226, -303, -384, -469?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*o - 1152*o = -9, -12 = 3*q - 3*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 35089007?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205807 is divided by 1131.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb11 (base 13) to base 8.\nAnswer: 67115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 1. Let o be l(5). Suppose -24 = -2*g + o. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15) + (-15 - (-1694)\/105)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5959.11 decades?\nAnswer: 715093.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -449531\/33 - -13621. Calculate the common denominator of -70\/33 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 1 + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 93053.31?\nAnswer: -93053.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 56, -2, 5, 7 in ascending order.\nAnswer: -2, 3, 5, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 8?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50805 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.24 + 0.24. Let y = 9.6 + q. Let n = -4\/19 + -11\/38. Which is the biggest value? (a) y (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4898.\nAnswer: 3\/4898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3857 is divided by 483.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -32*c. Let b(u) = -204 + 204 + u. Calculate j(b(m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 281*w**3 + 7*w**2 - 9*w + 36. Let a(c) = -140*c**3 - c**2 - 1. Let z(j) = 2*a(j) + y(j). Calculate z(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93534188 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -34.18. Let f = -0.38 - r. Let m = 4 + 0. Sort 1, m, f.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:00 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -3. Suppose 10 = 2*k - 4*u, -1 + 11 = -4*k - 2*u. Let h = -441\/5 - -88. What is the nearest to -0.1 in a, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 25, 2*o + 1 = d + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + a = 3*a + 3715, -5*j = -5*a - 3715. Suppose -5*w + j = 5*s - 547, -w = 5*s - 1294. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/11 - 73734*g\/11 + 73736\/11 = 0. Calculate g.\nAnswer: -36868, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j. Suppose -4*q = -3*p - 0*p - 32, -5*p = j. Let b(u) = u**2 - 5*u - 4. What is the tens digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/9*-3)\/2. Suppose q + 25 = -h*q, 0 = -5*b + 2*q + 20. Solve 6*r = 5*r + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1841\/20 - 404\/5. Put -3, q, 3\/7 in descending order.\nAnswer: q, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Let l(t) be the first derivative of -t**4 + 2*t - 2. Let a(j) = 5*j + j**3 - 1 - 5*j. What is x*l(p) - 2*a(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -365724 (base 15) to base 4\nAnswer: -21322312213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150346?\nAnswer: 2, 7, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99793*b**2 + 99772*b**2 - 199631*b**2.\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 7 + 32)*(-22*f - 38*f + 7*f).\nAnswer: -1113*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-6\/13)\/y*y))\/y*y*((y*y*y**(6\/13)*y)\/y)\/y*(y**(12\/7)\/y)**(-4\/23))**24 assuming y is positive.\nAnswer: y**(140592\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z + 1. Let f be i(3). Suppose -7 = y - 5*k - 19, 2*y - 4*k - 18 = 0. Suppose -y*p + 75 = -261. What is the greatest common factor of p and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/210 - (0 + (-26)\/30). Determine k, given that 2\/3*k**2 - m*k - 4\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -21. Suppose -2*g - n + 1 = 0. List the prime factors of ((-70)\/(-4))\/(-7)*g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*c = 0, -2*g + 0 - 1 = c. Suppose g*l = -3 + 7. Suppose -2*y = -l*q + 11 + 25, -y = 3*q - 46. Calculate the highest common divisor of 160 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**3*p**3 - 27879205*b**3*p - 2*b*p + 5*b - 19666358*p**3 + 1 wrt p?\nAnswer: 60*b**3*p - 117998148*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 4*w - 7. Suppose -2*r + 20 = 2*r. Does 16 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -3*b**5\/10 + 3*b**2 + 13*b + 19. Let c(o) be the first derivative of t(o). What is the derivative of c(f) wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(-36)*(l**(-2\/11))**(-1) assuming l is positive.\nAnswer: l**(-394\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222.224 - 222. Let j = 0.224662 - t. What is j rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:27 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 1, c: 2, n: 1, s: 4}. What is prob of sequence utsc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 24323 - 73937 = 0. List the prime factors of v.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/((-51)\/(-408)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 6, h: 4, e: 2, j: 2}. Give prob of picking 1 q and 1 j.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/16 - 5\/(-40). Suppose -6*a = -2*a + 2*y + 10, q = a - y. Solve a = -4*d - 8, 3*x - 1 = -4*d - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-6) + 2)\/(30\/(-80)). Let u = 566\/63 + -66\/7. What is the closest to w in 5, u, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 96*u + 1441. Determine g(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 37874 = -2*b - 3*n, -2*b + 3*n = -37879. Let t be (-2 - 1)*b\/(-2772). Let r = t - 352\/21. What is the common denominator of 33 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + q)*(1 - 1 + q) + (40 - 4*q - 40)*(-4*q + q + 0*q) + 3*q**2 - 3*q**2 + q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1000 and 22237160?\nAnswer: 555929000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 5)*(1 + -2 + 2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1823 + 1485.08. Let i = 338 + c. Which is bigger: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/6)\/(1\/2). Let l(h) = -w*h**3 + 18*h**3 - 1 - 6*h**2 - 12*h**3. Let b(y) = -y**2 - 2. Let p be b(-2). What is l(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffccppckwmcfp. Give prob of picking 1 p and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13415 (base 7) to base 3\nAnswer: 11222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 8 = -14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104633489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 30*q**2 - 1044*q + 867. Determine n(34).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2*v + 2. Let y be b(-7). Let r be (-105)\/y + 2\/(-11). Factor -9*d**3 - 8*d + d**3 - 16*d**2 + 2*d**r - 2*d**4 - 4*d**3.\nAnswer: -2*d*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {c: 1, d: 1, e: 5, j: 2, a: 5, k: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -165977069704?\nAnswer: -165977069711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-76)\/(-475))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41036.419 + -41048.4190035. Let d = b + 12. Round d to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/109, -13, -4, -45.7, -0.4, 2\/5, 4\/7?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68797 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.85 - 15. Let l = s + 0.15. Let t = -0.1 + -0.9. What is the nearest to t in l, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3154 and 330130757?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*y = 0, -15*x = -18*x + 5*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*b**2 + 0*b**3 - 89*b**2 - b**3.\nAnswer: -b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139\/288 - -5\/288. Factor -1\/3*t + c*t**4 - 5\/6*t**2 + 2\/3*t**3 + 0.\nAnswer: t*(t - 1)*(t + 2)*(3*t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2. Let h be b(-3). Let y(m) = 2*m + 2. Let l(v) = 14*v + 12. Let u(q) = l(q) - 6*y(q). Give u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -115*m - 6. What is a(2)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5507*a*n**3 + 208*a*n**2 - 13*n**2 wrt n?\nAnswer: -33042*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 213, 197, 161, 99, 5, -127?\n\"Answer: -h**3 - 4*h**2 + 3*h + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/(-134))\/((-2)\/7)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117286 smaller than 117283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3545600 (base 8) to base 12\nAnswer: -3a9140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19973146 or 19973135?\nAnswer: 19973135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -17*p**6\/720 + 25*p**4\/6 - 27*p. Let o(n) be the third derivative of h(n). Let u(r) = r**2. Calculate u(o(z)).\nAnswer: 289*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10397 = 27*o + 10262 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/5)*z**0)\/(z**(-1))**(16\/7))**(2\/183) assuming z is positive.\nAnswer: z**(286\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(10\/(3 - -477)). Solve -u*l + 29*l = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:01 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {s: 1, q: 2, d: 4, r: 4, o: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101010000220 (base 3) to base 11\nAnswer: -1265a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5263*w**2 - 7 + 12729*w**2 + 7917*w**2.\nAnswer: 15383*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*b**2 + 4 + 0 + 6 + 246*b**2 - 3.\nAnswer: 153*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122808 + -78242. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i. Let j(l) = 3*l**3 - l. Let b be j(1). Let s(u) = b*u - 5*u - 2*u + 2*u. What is s(c(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f. Let w(o) = o**2 - 3*o. Let j(t) = -3*k(t) - 4*w(t). Let s be 6\/(-8) + (-33)\/(-12). Let r(p) = 2*p + 2*p + s*p. Calculate r(j(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = a + 32, 4*a - a = 5*z - 160. Factor -16*v**3 + 3*v**4 + 21*v + 6 - 5*v**2 + z*v**2 + 31*v**3.\nAnswer: 3*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 344*a**2 + 127*a - 782. What is the hundreds digit of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.5, -3 in decreasing order.\nAnswer: -0.5, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 5*k - 23, 5*n - 3*k + 0 - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 429*f**2 - 98*f**2.\nAnswer: -537*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -35*f**2 - 6*f + 10. Let b(r) = -109*r**2 - 19*r + 34. Determine -2*b(n) + 7*u(n).\nAnswer: -27*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566 by 7786.\nAnswer: -283\/3893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 1, h: 1, d: 1, i: 1}. What is prob of sequence dai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + h = -36*y - 3, 3*y - h + 4 = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490.78 + 485. Let y = 7.78 + h. Put -5, 4, y, -4 in ascending order.\nAnswer: -5, -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*l - 1093*l + 241*l + 230*l + 231*l + 220*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100200201 (base 3) to base 6\nAnswer: -52414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 11*t - 1. What is the remainder when h(7) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 10. Which is the nearest to 0.1? (a) 5 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 4 - 48*u**3 + 5*u**4 - 54*u**3 + 102*u**3 + 3 + 2*u**2 to c*u**4 + i*u + p*u**2 + d + r*u**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 352\/308*252\/96. Solve b - 9\/4*q**3 + 39\/4*q**2 - 10*q = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*(m**(-1\/2)\/m)\/m)\/m)\/m**6)\/((m**(5\/4)\/m*m)\/m*m*m*m\/((m*m*m**2)\/m))*(m**(-1))**(-10)*m**(1\/5)*m*m*m\/(m*m**2) assuming m is positive.\nAnswer: m**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 11 = 3*s, 6*c - 7*c - 5*s + 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184251*f**3*z**3 + 166*f**3 + 121789225*z**3 wrt f.\nAnswer: 552753*f**2*z**3 + 498*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 614*d - 346*d + 260*d - 68 wrt d?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 28, 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -0.03, -22\/123, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8816281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 21 = -85. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 7. Let w be f(-9). Let i(u) = -2 + u**2 - 2*u**w + 3. Let d(z) = 4*z**2 - 3. Let s(o) = d(o) + 3*i(o). Suppose s(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073080826 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2. Let u(x) = 2568*x**2. Give u(c(k)).\nAnswer: 125832*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190531 and 212511349.\nAnswer: 17321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 9*w - 43. Let j be m(11). Suppose -5*q + 2*g + j = 0, 0*g + 3*g + 318 = q. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 4*o**4 - 3*o**5 + o**5 + (-o**2 - o**2 + o**2)*(2*o**2 - 2*o**2 + 2*o**3) - 5*o**5 - 2*o**5 + 5*o**5.\nAnswer: -6*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + 0.3. Suppose -2 = h - 7. Which is the closest to 4? (a) h (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/680)\/((-4)\/536*2)*-2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 - 169. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/14)\/(30\/105). What is the hundreds digit of (h + (-5160)\/9)*(-3)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:16 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(5\/((-40)\/(-16)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21093, 40118, 59143, 78168?\n\"Answer: 19025*s + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -1.35756.\nAnswer: -4.35756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84*(72\/180*(-4)\/(-12))\/((-4)\/(-20))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 3, l: 3, n: 10, k: 3}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -104101322 (base 5) in base 12?\nAnswer: -1a01a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1399 + 14011\/10. Find the common denominator of 58\/7 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/(2\/4). Let w = n + 6. Suppose 2*u = 3*v - 8*v - 11, w = -v. Solve 0 = -4*m - u*s - 2*s + 24, -5*s + 21 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s - 1. Let n(a) be the second derivative of a**3 - a**2\/2 - 5*a - 320. Calculate -5*d(m) + 4*n(m).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 10*q**5 + 3*q**5)*(0 + 2 - 4).\nAnswer: 18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2348 divided by 587.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242313 and 1416?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 192. Let i be y\/(-7) + (-2)\/(-7). Find the first derivative of 0 + i*d**3 - 10*d**3 + 10*d**3 - 12 wrt d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354502321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454 (base 15) to base 6.\nAnswer: 4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 - g. Let t be b(-1). Let s be 80\/t*(-3)\/2. What are the prime factors of (-248)\/s + 2\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3125615408.\nAnswer: 2, 79, 2472797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-15)\/30))\/((-2)\/(-5)). Put 0, -2, c, 62 in increasing order.\nAnswer: -2, 0, c, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364350000 rounded to the nearest one million?\nAnswer: -364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -44, -64, -84?\n\"Answer: -20*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*p = -10 - 20, 44 = 2*g - 4*p. Let s(d) = 18*d + 138. Does 13 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 11*f**2 - 77*f - 710. Calculate q(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 9. Suppose 0*z = -12*z - 72. Determine u(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -20010?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/10, 0, 1\/4, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7934 to the nearest one hundred.\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 - w - 7. What is i(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0246832 to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvdddv. What is prob of sequence dvd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-10))\/(30\/50). Solve -4*c + 10 = 5*o, 2*c + 4*o - g = -0*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 4*o**2 + o - 1. Let z be b(1). Solve 2*u = 6*u + z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 5808.\nAnswer: -5815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 2197255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35704064 by -409.\nAnswer: -87296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 477, 423, 369?\n\"Answer: -54*a + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 779.45 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 493095911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 4 = -4*i, -3*c + 3*i + 27 = 0. Suppose -31 + 3 = -c*r. Solve 10 = 6*t - r*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 16. Let a be k(20). Solve a*p = -0*q - q + 17, 4*q - 11 = 3*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 4. Suppose -p - 12 = -4*p. Suppose -p*r + 28 = 3*v, -3*r = -0*r - 12. Let f(w) = w - v - 3 - 4*w - 4. Give 4*f(t) + 11*s(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 2*q + 0*q)*(-7 + 1 - 8)*(2 + 2 - 2).\nAnswer: 140*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*a + 22, -2*a - d + 11 - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 213456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 0.3, 0, 10126\/7, -1\/8, -2\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265822970, 531645942, 797468914, 1063291886, 1329114858, 1594937830?\nAnswer: 1860760802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f - 2*f)*(2*f + 2 - 2 + (3 - 2 - 2)*(-3 - f + 3) + 126*f - 58*f - 88*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 10*i + 5)*(-6 + 5 - 3)*(2*i + 4 - 4) to the form j*i**2 + p + u*i and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4)\/(-4)*0\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3433 - -3433. Solve -q - 3*s - 7 = y, 12*s - 2 = 5*q + 16*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/27 + (-68)\/(-18). Suppose -30 = -s - 4*s. Let n = s - v. Solve g - n = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/((2*2\/(-5))\/((-4)\/10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 185 - 56 = -4*q, 0 = -2*q + w - 27 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12630 and 3006533610.\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14056370.\nAnswer: 2, 5, 1405637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 - 7*112\/(-20). Suppose 36*k - 297 = h*k. Let d = k + 267. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -18. Suppose 0 = -w + 4, 6*d - 185 = 5*d + r*w. Calculate the highest common factor of d and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnttnnnntnttttntnnn. Give prob of picking 2 n and 1 t.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(6*l - 4*l - 3*l)*(2 - 2 - 2*l**2 + (-2 + 3 - 4)*(-3*l + 3*l**2 + 3*l)).\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 92 = -2*u, 0 = -3*u - u - 4. Let b = 42 - c. What is the remainder when 4 is divided by (3\/(-2))\/((-6)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*d**2 + 793*d + 2 = 0.\nAnswer: -2, -1\/396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44501, 90035, 135569?\nAnswer: 181103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = 0, -r - 4*r = -3*m + 65. Let f = 31 - m. Calculate the lowest common multiple of 15\/20 - f*14\/(-8) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21061*f**6*r**2 + 254*f**4*r - 2*f**2*r - 4*f**2 - 67*f*r**2 - 12264*r wrt f.\nAnswer: -2527320*f**3*r**2 + 6096*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 3\/31, 2\/11, -6?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 130.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1384 - 1384.1. Which is the closest to 25? (a) l (b) -8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Let u = 18 - j. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 46*l**4 - l**3 - 46*l**2.\nAnswer: l**2*(l - 1)*(l + 1)*(l + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d - 31. Let t be f(3). Let q be -1*(1 - t) - -31. Solve -2*p - 4*r - q = 2*p, -5*p - 2*r = 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -37*r. Let s(j) = 24*j - 172930. What is s(p(i))?\nAnswer: -888*i - 172930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4 - 2 - r - 1 + 0. Give v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278974209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 3. Let m be q(0). Suppose -7*g + 12 = -m*g. Suppose -84 - 24 = -g*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 228, 506, 894, 1392, 2000?\n\"Answer: 55*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 - 246. Suppose z - 116 = -y. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113040061?\nAnswer: 463, 244147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(112) + -4)**2 - ((sqrt(112) + -1)*-4 + 4).\nAnswer: 120 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.3 - 4.3. What is the nearest to -1 in d, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 46, 72, 106, 148, 198?\n\"Answer: 4*h**2 + 6*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 5*h + 10*h - 9*h**3 + 12*h**3.\nAnswer: -14*h**3 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:24 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 856*c**4 + 2*c**2 + c + 27873.\nAnswer: 3424*c**3 + 4*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 1101011100110110111110?\nAnswer: -1101011100110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -20*b**2 - 12*b + 11. Determine w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.9 + 35.5. What is the closest to -6\/5 in h, -0.9, -5, -4\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109 - 1254324\/11508)\/(5\/((-70)\/(-12))).\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 1. Let w(p) = -3*p**2 - 1. Let r(t) = -5*w(t) - 4*x(t). Let j(n) = 9*n**2 - 4. Let d = -4 + 5. What is d*j(m) + 5*r(m)?\nAnswer: 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h + 11. Let q(a) = -7*a + 4. Let b(f) = 6*g(f) - 17*q(f). Let z be b(-4). Calculate the highest common factor of 22 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqfqoqqqqq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**2 + 0 + 4*l + 0*l**4 + 0*l**5 + 1\/6*l**3 + 0*l**6 + 2\/21*l**7. What is the second derivative of c(y) wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Suppose c = -5*g + 5*l - 6 + 1, 4*g + 3*l = 3. Solve -5*d + d = 2*s - 16, g = -3*s - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -543?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6670 by 3176.\nAnswer: -3335\/1588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5755039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, 671, -1\/2?\nAnswer: 671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j. Let y be s(1). Let c(i) = -i - 3. Suppose -4*q = f + q + 6, 3*q + 18 = -3*f. Let v be c(f). Solve g = -v*g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 52*b**2 + 176*b - 128.\nAnswer: 4*(b - 8)*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, 33, 294, 721, 1350?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -16, -48, -112, -220, -384?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 5 + 5)*(-3*j + 2*j + 2*j)*(-3 + 1 + 3)*(-21 + 794 + 210).\nAnswer: -4915*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgq when three letters picked without replacement from qxxqxxgc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1029 or -1030?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 131752 + 4?\nAnswer: 131756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*c - 2 = -0*c - 0*c - 14, -3*c - c + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 3*s + 2 - 3*s - 1 + 1 - 2*s - 1 + 1 + s + (0 - 2 + 0)*(-s + 2*s + s) - 2*s - 1 + 1 + 2*s - s + 0*s.\nAnswer: -7*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) 1\/4 (c) 2.86 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j = -40*j - 216. Put j, 5, 22 in decreasing order.\nAnswer: 22, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeebeeeb. What is prob of sequence ee?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 + 296*o + 1216 = 0. What is o?\nAnswer: -4, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/40 (b) -0.2 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3836496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -29 + 34 + 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -12 + 3. What is the common denominator of (-346)\/(-18) + (-10)\/45 and 10*(66\/16 - d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*p**2 - 820*p**4 + 822*p**4 + p - 2*p - 2*p + 2*p**3 + p in the form k*p**4 + b*p + f*p**3 + q + d*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**4 - a**3 - 1. Let c(u) = -u**4 - 3*u**3 - 6*u - 3. Let k(q) = c(q) - 3*m(q). Find the second derivative of k(r) wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.0458 - 0.0458. Which is the closest to o? (a) -3 (b) 0.3 (c) 2.02 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3564 and 264?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + 3*h**2\/2 - 2*h + 104. Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -60. Let b = l - 107. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -827 - 2468 - 824*c**3 - 17*c**2 + 14*c**2 - 237*c**3 - 7311*c**3 wrt c?\nAnswer: -50232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**2 + 41*p - 6. Let b(c) = 23*c**2 - 122*c + 16. What is -3*b(h) - 8*z(h)?\nAnswer: 11*h**2 + 38*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -38*k + 72. Let c(l) = -8*l + 15. Let d(r) = -6*a(r) + 28*c(r). Suppose 20 = 4*q + 4. Calculate the least common multiple of d(q) and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 7) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 36*x**2 - 52*x - 570. What is v(-37)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517204891 by 5.\nAnswer: -517204891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 4749654?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i, -5*v - 2*i = -0*i - 3. Which is the third smallest value? (a) -0.3 (b) v (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -283 - 12?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 3*d + 3. Let i(o) = 2*o**2 + 2*o - 3. Let w(a) = 2*a**2 + 2*a - 2. Let u(s) = 5*i(s) - 6*w(s). Calculate 2*f(v) + 3*u(v).\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r + 3 = 0. Let z(w) = r + 1 + 10*w**2 + 3*w + w**3 - 5*w**2. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**2 + 300*x**3 + 26*x + 182*x**3 + 5*x**2 - 27*x as k + v*x**2 + c*x + g*x**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3367 and -167\/11544.\nAnswer: 80808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -73 + 58 + 9 + (-1 + -3 - -5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -3*l - 23, 3*u = -2*l + 33. Suppose 3*p = -5*y + 51, 2*p + 3*y - 45 = -p. Calculate the remainder when u is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3*k + 3*k)*(2*k - 3*k + 0*k) + 2*k**2 - 1 + 1 - 4*k**2 + 0*k**2 - 2*k**2 + (-5*k - 2 + 2)*(3*k - k + k) to a + p*k + v*k**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s + 10. Let v(z) = z**3 + 3*z**2 - 3*z - 1. Let d be v(-3). Let f be g(d). Factor -6*a**3 + 3*a + 9*a**3 + 10*a**2 - 4*a**f.\nAnswer: 3*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 2. Let y(b) be the first derivative of -4 + 5\/2*b**2 - 6*b. Calculate 8*m(t) - 3*y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 541, 571, 589, 589, 565, 511?\n\"Answer: -m**3 + 37*m + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 335*m + 176 - 361 + 93.\nAnswer: -335*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0685 to 3 dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 + 8 - (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990513164 to the nearest integer?\nAnswer: 31472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1524880613 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdidgiiigg. Give prob of picking 1 i and 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 3 = -3*z - 3*n, 4*z = 4*n - 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 10*q**2 - q + 12. Let u be v(10). Solve -u*i - 2*i - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -960, 3, 4, -0.2?\nAnswer: -960","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285077218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 2. Let y(a) = -4*a - 1. Let h(j) = 2*g(j) + 3*y(j). Let d(q) = 4*q - 2. What is 3*d(c) + 5*h(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 1723987.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 461254397*k**3 - 283788798*k wrt k?\nAnswer: 2767526382*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9))\/((-4)\/(-6))*-188. Let h = -111 + a. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*o**3 - 175*o**3 + 351*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -2\/3, -5 in decreasing order.\nAnswer: -2\/3, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -20, 0.4, -157, -0.22, 0, 2\/9?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9077 and -5.\nAnswer: 45385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 14 = -2*o + 6*u, -5*o = 5*u - 15. Suppose -198 = -o*s + 187. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 - 2*c. Let m = -7 + 10. Suppose -3*u = 4*g - 22, -5 = g - m*u - 3. Suppose 0*f + f + 16 = 4*w, -w + g = f. What is x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 - -7.4. Let n = z - 11. Let u = -2 + n. Put 2\/15, u, -2\/9 in descending order.\nAnswer: u, 2\/15, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-28)*a**(26\/5)*a)\/(a\/((a*a\/a**(-5\/4))\/a))**(-2\/61) assuming a is positive.\nAnswer: a**(-13323\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**3 + 7*i**2 - 6*i. Let t(r) = 20*r**3 - 20*r**2 + 17*r. Suppose 204 = 249*d - 237*d. Determine d*b(v) + 6*t(v).\nAnswer: v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.16 and 41110416.514.\nAnswer: 41110416.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 - 32376*g - 87350448 = 0 for g.\nAnswer: -5396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -55, 4, -5, -1, 70 in descending order.\nAnswer: 70, 5, 4, 3, -1, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 - 4*o - 1. Let n be v(-3). Let j = 0.139 - 0.039. Which is the nearest to j? (a) -3\/4 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2110.924 - 2104. Let w = y - -0.176. Let q = w + -7. What is the third smallest value in q, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-1 + 0) + 30192\/(-4440)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 4, 0.1, -0.3, 27\/8, 0, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5940 + 5511 - 6923 - 28493 = 335*q for q.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 + h - 15. Let o be g(6). What is the highest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33000 by 6600.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {e: 1, k: 1, z: 3, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 240487.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/d**5))\/d)\/d**(-1\/2))**(-5\/14))**(-3) assuming d is positive.\nAnswer: d**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952 and 9646021?\nAnswer: 77168168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 13) in base 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7464640 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)*h\/(h*h\/(h*(h**(-3\/14)\/h*h*h)\/h*h)*h)*(h\/(h\/(h\/(h*h\/h**0))))**(3\/23) assuming h is positive.\nAnswer: h**(311\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5*x**2 - 7 - 3*x**2 - 3*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/5 - 14*a**4\/5 + 14*a**3\/5 + 46*a**2\/5 - 88*a\/5 + 8 = 0.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 37*n + 0*n - 28*n.\nAnswer: -75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 197119698?\nAnswer: -197119655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/14 (b) -28 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1445, 1439, 1431, 1421, 1409, 1395, 1379?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*g - 10, -13*g - 2*n = -18*g - 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000667952 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 35 = 4*k + 2*q, 0 = -k + q. Let v(f) = f - 5. Let j be v(k). Factor j*s**3 - 3*s - 19*s**2 + 22*s**2 + 6*s**3.\nAnswer: 3*s*(s + 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29 + (3 - 9)\/3. Suppose 0 = x + 7 - s. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6668 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 5 - 82*a**2 + 5 - 14 + 80*a**2 in the form q*a + w + i*a**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/(-1))\/(14\/42)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748783, -748720, -748657, -748594, -748531?\nAnswer: -748468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/42 and -26\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwt when three letters picked without replacement from {m: 2, w: 2, t: 4, i: 1, g: 10}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/2 + 2)\/2. Let r be -2*(4 + (-81)\/21). Sort r, -5, x.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -65*u**3 - 185*u**2 - 180*u. Let z(m) = 11*m**3 + 31*m**2 + 30*m. Let n(a) = 6*x(a) + 35*z(a). Solve n(i) = 0 for i.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 34*x - 33. Give d(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(336)\/(sqrt(8) + sqrt(128) + sqrt(8) + sqrt(8) + sqrt(8) - sqrt(8)) + sqrt(42))\/sqrt(6).\nAnswer: 2 + 8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - (-304)\/10. Let t = -21 + z. What is the units digit of -2 + -3*(-12)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.86 - -5.36. What is the second biggest value in t, -6, 7, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 16380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697720 minus -611841?\nAnswer: -1085879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/20 + (-4)\/10. Let z = -10.1 - -0.6. Let r = z + 10. Which is the closest to i? (a) 0.1 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -358, -360, -362, -364?\n\"Answer: -2*k - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 3. Let s be -3 - (-2 + j + -2). Let l(u) = -u**3 - 6*u**2 - 6*u - 7. Give l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/60 - (-15)\/50. Suppose -30*z + 8 + 112 = y. Let l(h) = -4*h - 2. What is the lowest common multiple of z and l(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 14) + (-6 - (-23 - -47))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2011 - 0.191. What is o rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2040 and 1.\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:23 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 - (-146157)\/55 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y**4*(((y**(2\/5)*y)\/y)\/y*y)\/(((y**(-2)*y)\/y*y)\/y))\/((y*(y*y*y\/y**8)\/y*y)\/y*y*y**(2\/17)*y**(-1\/2)*y**9) assuming y is positive.\nAnswer: y**(1663\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145101590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -3952278.4871?\nAnswer: 3952277.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y\/(y*y\/(y**5*y)))*y*y*y*y**(-2))**(-4\/5))**31 assuming y is positive.\nAnswer: y**(372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0375 - 0.0625. Sort -5\/4, h, 2, 0 in increasing order.\nAnswer: -5\/4, h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 164*(3\/4 + 0). Suppose 4*y - u - 33 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6 - 4*v + 4 + 3*v**2 + 1 - v**2. Let j be u(2). Let a be j + (-2 - 1 - -4). Solve t + a*t - 11 = -4*d, 24 = d - 4*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 378*y**2\/5 + 7068*y + 14440.\nAnswer: (y - 190)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/8) + (-4 - -1 - -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(0 + (-1 + sqrt(76) + sqrt(76) - sqrt(76))**2) + 5 + 3.\nAnswer: -40*sqrt(19) + 778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41298 is divided by 38615?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52508680 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 21 - (68 + -55)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 219865, 1759078, 5936985, 14072932, 27486265, 47496330, 75422473?\n\"Answer: 219891*u**3 + u**2 - 27*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107467 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 - l + 1. Let u be k(-3). Suppose u*r + 0*r = 432. Let v = -434860 - -434869. Calculate the greatest common factor of r and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*h + 3. Let x be 10*(8\/(-5))\/4. Put h, 5, x in increasing order.\nAnswer: x, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 32 = -r, u - 16*r = -11*r + 22. What is the closest to -0.52 in -3\/2, u, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -693, -5387, -18131, -42951, -83873, -144923, -230127, -343511?\n\"Answer: -671*x**3 + x**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-3 - (-1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 51*k. Let d(v) = 2*v + 64*v + 61*v. Give w(d(u)).\nAnswer: 16129*u**2 - 6477*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000424099367 rounded to 6 decimal places?\nAnswer: -0.000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3537330 and 123\/260?\nAnswer: 91970580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 + 12 = -3*n, -5*n = -f + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566119 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -6. Suppose -90 + w = -12*l. Solve -4*t - l = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 29. Let i(a) = -16. Let b(d) = -9*i(d) - 5*s(d). What is b(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.94 + 1.84. Let x = -0.90000216 + w. Round x to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 7*j + 6. Let n(i) = 159*i + 636. Let y be n(-4). Determine w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87325 - -87326.08249. What is g rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/(296361\/(-50660)).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*c - 5*z, 5*z = 7*c - 0*z - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/21715 or 64?\nAnswer: -32\/21715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10230, -41631, -93960, -167217, -261402, -376515?\nAnswer: -512556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 4\/29 (c) 0 (d) 1.5 (e) -29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 567 and 567 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 171*o**2\/2 + 3240*o - 36450.\nAnswer: (o - 9)*(o + 90)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4877.16 + -4877. Which is the fourth biggest value? (a) t (b) -2 (c) -0.2 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -90*j + 95*j. Is 0 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1745856 to the nearest ten thousand.\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 310*b.\nAnswer: -310*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/4 - 19*d**3\/6 - 167*d**2\/2 + 86*d. What is the first derivative of b(k) wrt k?\nAnswer: -6*k - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/(p**(-9)*p)*p**(4\/7)\/(p*(p\/(p\/(p*p**(-1\/10)\/p)))\/p) assuming p is positive.\nAnswer: p**(607\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, r: 12, y: 1}. Give prob of picking 1 z and 2 r.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z + z)*(29 + 26 - 19) to d + v*z and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 1, n: 1, i: 1, w: 1, z: 1}. What is prob of picking 1 d, 1 w, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10320002 (base 4) to base 9\nAnswer: -30348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*242 + 0 - 2*203\/(-58)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1413185 and 44\/109.\nAnswer: 1413185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 14273768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212112202 (base 3) to base 11.\nAnswer: -52296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.146 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/m*m*m**(-6))\/(m\/(m\/(m\/m**(-4)))*m**(-5)) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505981?\nAnswer: 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30899 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 7\/(-154)*-177 + 10?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*(-1575)\/315\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/36 + t**3\/6 + 13*t. Let a(g) = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.1 - -30. Suppose -6*t + 2*t - 3*n + 23 = 0, 0 = 2*t - 2*n + 6. Suppose 3*r = -t - 4. What is the nearest to k in r, -1\/3, 22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y + 47*y + 36*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 1. Let b = -19318 - -19319. Let g(z) = -z - 10. Determine b*g(r) + 2*s(r).\nAnswer: r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 1 = 4*m - 9*m + 2*d, 15*m + 3*d = -33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:18 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20 - -18 - -5)*20\/42. Which is the nearest to q? (a) 0.4 (b) -4\/9 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -120, 1\/9, -94, 1 in ascending order.\nAnswer: -120, -94, 2\/21, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - y + 6. Let d be v(-3). Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0*t**2 + 0*t**2)*(4 - 4 + 1)*(-1 - 1 + 4).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + 1*sqrt(96)*-2 - sqrt(96) - sqrt(96) - 2*(sqrt(96) + sqrt(96)*-1))\/((3*(sqrt(2) - sqrt(32)) - (sqrt(72) - sqrt(72)*2))*3).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -4. Suppose g - 6 = i, -2*g + p = -g - 4*i. What is the third derivative of 0*x**2 + 4*x**5 - 2*x**5 + g*x**2 + 4*x**5 wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48298 or -48291?\nAnswer: -48298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -4, -18, 2 in increasing order.\nAnswer: -18, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 401931 divided by -23643?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Let k(h) = h - 10. Let a(j) = k(j) - 5*z(j). Let v be a(15). Suppose -4*d = -v*d + 12. Put 4, -6, d in decreasing order.\nAnswer: 4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15250 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let p(l) = l - 3037. Calculate v(p(i)).\nAnswer: -2*i**2 + 12148*i - 18446738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108 or -13565?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = 18. Let q = 7 + a. Suppose -3*v + 2 = -1. Is q >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11013, -25925, -40837, -55749?\n\"Answer: -14912*w + 3899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434434 (base 7) in base 2?\nAnswer: 10000101011100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {m: 1, o: 2, k: 6, z: 1, i: 2, s: 7}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - 88. Let d = 158 + j. Let m = 1 + -3. Is d not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*18\/30*10\/90.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 326393337 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 3)*(-9 - -10). Solve -2*k + k - l = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 5076 - 218 - 166. Calculate the highest common divisor of 697 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102273, -204528, -306765, -408978, -511161, -613308, -715413?\n\"Answer: m**3 + 3*m**2 - 102271*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 55. Let g(i) = -3*i + 164. Let f(y) = -6*g(y) + 17*r(y). Let w be f(0). Is w\/(0 + (-1)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38424 is divided by 752?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/8)\/((-3)\/(-8)). Suppose -j*w + 603 = 235. Suppose 0 = 3*k + 5*q - w - 160, -3*k + q = -270. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -313c84?\nAnswer: 313c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 6. Let t be s(9). Let m = t - 3. Do -4\/3 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.3 (b) 1\/2 (c) -10\/19 (d) -3\/5 (e) -2\/19 (f) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 2*b**2 + b - 1. Determine c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1674.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -78518*l + 13033993. Give m(166).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 5*g**2 + 1 - 4*g**2 + 4*g**2. Let p be t(1). Suppose -2*k - 3*x = -65, 5 = -p*x - x. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from xxbxxxxxxxxbxxxbxbx?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 4*w. Let f be r(-1). Is f*-88*(-40)\/16 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (-6*(-1 + 4*sqrt(72) + sqrt(72) + sqrt(72) + 4 + 1))**2.\nAnswer: 10368*sqrt(2) + 93887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925 and 1650.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r**(-4\/11))**(-9)\/((r\/(r\/(r**2*r))*r\/((r*(r*r**(-1\/4))\/r*r)\/r))\/((r\/(r\/(r\/(r\/r**(-3\/8)*r))))\/r**(-3))) assuming r is positive.\nAnswer: r**(-431\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 + -105.17. Let o = k - -104.984. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + 0.09. Let w = 2.6 + f. Which is the closest to 0? (a) -2 (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-237 - -228)) + (-12 - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmcm. What is prob of picking 2 m and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 45*d + 27548. What is y(190)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + 131. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/43, -4, -3, 1\/3?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 + 2*f**2 - 24*f = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from ffffffzfmffiffoiffmf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2303547 + -8?\nAnswer: 2303538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eisisssiissseesii. Give prob of picking 3 e.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -428, -814, -1332, -1982, -2764?\nAnswer: -3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -12)*1*4\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -14. Let o = 13 - i. Which is the closest to 0.1? (a) o (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28925*f**2*r**3 - 196*f*r + 5*r**3 wrt f?\nAnswer: -57850*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 + 230. Let c(a) = a**3 + 23*a**2 + 21*a - 3. Is c(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 23 = -20*w. Suppose 3 = w*a - 57. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21309452 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*55\/60*-4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27769 times 0.5\nAnswer: -13884.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5316 is divided by 89.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3629 from 16.\nAnswer: -3613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3 - 6*a**4 - 145*a - 9 + 145*a with respect to a.\nAnswer: -24*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7092 + 0.2908. Which is the smallest value? (a) z (b) 0.012 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 = 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84, 25, 232, 549, 988?\n\"Answer: 2*y**3 + 37*y**2 - 16*y - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4 + 4)*(j - 3*j - 2 + 4) + (0 + 2*j + 0)*(3 - 3 + 2*j) - j**2 - 2*j**2 + 6*j**2.\nAnswer: 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 14 = 6*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -5*((sqrt(133) - sqrt(133)*1) + sqrt(133)) + sqrt(133) + sqrt(133) - 3*sqrt(133)*1)*3)\/(sqrt(70)\/sqrt(360) - 4*-2*sqrt(7))*-1.\nAnswer: 90*sqrt(19)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -126 in 0.9, 12\/25, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97059.34 hours in minutes?\nAnswer: 5823560.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283626 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38726413 - 54.39118.\nAnswer: -38726467.39118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -273402, -273423, -273444, -273465, -273486?\n\"Answer: -21*a - 273381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/10*(-125)\/(-2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2789810, 5579614, 8369418, 11159222, 13949026, 16738830?\nAnswer: 19528634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -1\/3*v**3 + 6*v - 2\/3*v**4 + 0 - 3*v**2. Let i(m) = 17*m**2 + 4*m + 13. Let f = 21 - 34. What is f*a(o) - 6*i(o)?\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 295887696 a multiple of 2561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2550 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2404 + 2449 + (-60 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f = -6, -4*z + 3*f + 2 = -0. Suppose 4*x - 16 = z*d - 6*d, -3*x + 12 = 5*d. Suppose 6*p - 2*p - 180 = d. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 - -2.2.\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*d - 211860 = -5*d. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 - 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/12936*224 - 12\/(-22)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/694 and 12*(-11)\/1452 - (-571)\/(-132).\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1839964 and 1.\nAnswer: 0.8160036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/2*g**3 - 1\/12*g**4 + 2*g + 0 + 3\/2*g**2. Let i be f(3). Solve -5*p = -i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8807\/4 - 2189. Let t be 1008\/(-105)*(-80)\/6. Calculate the common denominator of (-1360)\/t - 6\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106286?\nAnswer: 2, 19, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 3*b + 3*b - 1817 + 6*b + 1758.\nAnswer: -b - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, -2\/9, -2\/25, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/9256 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2703, 5628, 8995, 13026, 17943?\nAnswer: 23968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - 42) + 24 - (-17 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a factor of 220063776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 - 16424*b**3 + 181152*b**2 + 16424*b - 181148 = 0?\nAnswer: -4117, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:38 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w - 8. Let h(i) = -8*i - 4. Let q(s) = -4*b(s) + 7*h(s). Let z be q(8). Let u = 962 + -782. What is the highest common divisor of u and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(16 - 10). Let h be 6 + (3 - w\/4). Let k(o) = 4*o. Does 14 divide k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 71*c - 116 - 28*c.\nAnswer: 18*c - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8467 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 64416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 82 = -3*c - 5*g, -c - 2*g + 26 = 0. Solve 0 = -29*w - 138 + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Factor -1\/4*z**2 + 1\/4*z**n + 0 - 1\/2*z.\nAnswer: z*(z - 2)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(7*p + p + 2 - 6*p).\nAnswer: 4*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6316 and 8603971.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -53*q - 741. Let z be l(-14). Let v(r) = 60*r**3 - 2*r**2 + 2*r - 1. Give v(z).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*30*(-1)\/(-16)*36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112330*j**3*z**2 + 2*j**3*z - 236*j**3 + j - 61*z wrt z?\nAnswer: 224660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3979 + 3767. Which is the second biggest value? (a) z (b) 0.2 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84952 is divided by 21238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-14)\/((-84)\/(-6)))*(-1)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63179 - -208260. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9015508 and 1.\nAnswer: 9015508","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.01702185 to four dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 1, e: 1, z: 4, w: 1}. What is prob of sequence efwz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 21 = 5*t, -3*t - n = -7*t. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*(-8 - -2). Suppose 3*w = w + z. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j - 181. Let a be q(31). Let y(w) = 2*w + 4*w + w - 3 - a*w + 5. Calculate y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 - 58*y + 58*y)*(31*y**2 + 15*y**2 - 8*y**2) + y**4 + 0*y**4 + 0*y**4 + 1 to the form b*y**3 + a*y**4 + j*y + t*y**2 + i and give a.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -576?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97 and -1.0993?\nAnswer: 106.6321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1087294 and 47120?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 110, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21663 and 89059?\nAnswer: 801531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 0*a**2 - 3*a**2 + (2*a - 3*a + 3*a)*(1 - 1 + 2*a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/4 - c**4\/24 - c**2. Let r be q(2). What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 68 - 68 = 0. Let g(x) = -x**2 - 10*x - 12. Let v be g(-8). What is the nearest to r in -0.7, v, -5\/4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148806653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 5*a. Let o be s(6). Suppose o*g - 14 = -2*d + 2*g, 5*d + 4*g = 41. Let n = -7 + d. Solve k = n*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2 + 2*n + 3 + 85*n**2 + 0. What is the tens digit of o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21*f**3 - 4*f**2 + f + 17. Let q(d) = 21*d**3 + 3*d**2 - 16. Calculate -3*q(r) - 2*x(r).\nAnswer: -21*r**3 - r**2 - 2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -36117031.\nAnswer: -36117031, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9113.892ml in litres?\nAnswer: 9.113892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 20 = 2*x. Suppose -3*p + 2*f + 57 = -f, -p + 31 = -x*f. Solve g + 3*g = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082860021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13311 = 2952. Is (-2)\/((54\/f)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnenmnln. Give prob of picking 1 n and 1 e.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31066 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 191. Suppose 2*n + 6 = i. What is the greatest common factor of 52 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -3) + -3 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(147) + 1 - (sqrt(147)*-1*-4 + sqrt(147)) - ((2*sqrt(21))\/sqrt(7) + (sqrt(18) + (sqrt(18) - (sqrt(18)*-2 - sqrt(18))))\/sqrt(6)))**2.\nAnswer: -350*sqrt(3) + 3700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d\/(d\/(d\/d**(-7))))\/d*d)*(d**(-6)*d)\/d)**24)**4)**36 assuming d is positive.\nAnswer: d**(-44928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100914077?\nAnswer: 61, 109, 466373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m, 0 = -g - 2*g + 3*m - 147. Let u = g + 7. Let f be 6\/(-9)*(-18)\/u. Are 0 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 596.745 meters?\nAnswer: 596745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 971897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -11, 0, -4, -2 in decreasing order.\nAnswer: 4, 3, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(33\/9 + -5). Let d(h) = -h**2 - 3. Let l(o) = -6 - 2*o**2 - o + o. Let v(s) = u*l(s) + 5*d(s). Let g(y) = 2*y**2 + 5. Calculate -3*g(f) - 5*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 - 17646*t**2\/13 + 6917648*t\/13.\nAnswer: -2*t*(t - 376)*(t + 9199)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.94. Let v = -165.155 - -165. Let y = -0.255 - v. Which is the closest to y? (a) 0.1 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 7*m + 10*m + 5*m to f + c*m and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/1380 + 94*u**5\/115 + 2135*u**2. Factor f(n).\nAnswer: -2*n**2*(n - 564)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 32. Let d = -1.19 - -0.19. What is the closest to l in -5, d, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 50*p**3 - 6*p**2 + 6*p + 4. Suppose -h - 2 = -2*s + 3, -s - h + 4 = 0. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - f + 2. Let u(q) = -1094*q**2 - 3*q - 359. Let c(s) = -2*u(s) + 6*x(s). Differentiate c(j) with respect to j.\nAnswer: 4316*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)*p)**7\/(p**28)**50 assuming p is positive.\nAnswer: p**(-6916\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-943.204\nAnswer: -377.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let i(v) be the second derivative of 2*v**3\/3 + 2*v. Suppose 5 = -5*b, w + 0*b = 4*b. Calculate w*i(f) + 9*c(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000271228666 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(((-10)\/5)\/(-1))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 6*j + 10. Let k be i(8). Suppose -40 = 3*a + 2*a. Let g = k - a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 574 from -23.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 216 = -5*j. Let s = 1010 + -901. Let t = j + s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 23*j + 1. Let i = -95 - -106. What are the prime factors of v(i)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10442 (base 5) to base 16\nAnswer: 2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28307.2l to millilitres.\nAnswer: 28307200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108980 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o. Let v(b) = 15*b**2. What is c(v(j))?\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 55. Let k be (2 - -2) + (-1)\/(4\/(-16)). What is m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 32.2875\nAnswer: 6.4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 46 - 240)*(3*a - 2*a + 0*a).\nAnswer: -349*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezedzeazda. Give prob of sequence zze.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 12 = -5*j, -12 = 4*j. Calculate the common denominator of -29\/10 and 2\/m*4656\/1280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 10\/3*u**3 - 1\/10*u**5 - 1\/30*u**6 + 6*u**2 + 0 + 43*u + 7\/12*u**4. Factor j(b).\nAnswer: -(b - 3)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 8037?\nAnswer: 32148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1127, -1, -1\/2, -79\/5, -0.4, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h + 4*j - 14, -28 = -3*h - 5*j. Suppose -h*a = -3*a - 192. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 22 = 105. Suppose -5*o = -l - 17, 2*l = -l - o - q. Let y be 26\/36 + 6\/l. Which is the closest to 0? (a) 1 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48027083, 96054165, 144081247, 192108329, 240135411, 288162493?\n\"Answer: 48027082*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxex when four letters picked without replacement from exsxxxeeeesse.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 246*p. Let d(u) = -27*u**2. Determine d(k(a)).\nAnswer: -1633932*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239.0000629 - 239. Round f to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 31*i - 76. Let j = 22 - 47. Let o be d(j). What is the greatest common factor of 666 and o?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - y = 7 + 6, -4*k = 4*y - 20. Suppose -k*z = -2*o - 23, 6*o + 26 = 2*z + 2*o. Solve 11 = -z*q + 3*f, q - f + 3 - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11202)\/9)\/(8\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, -429, 707, -5 in decreasing order.\nAnswer: 707, 5, 1, -3, -5, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-18)*(-10 + 2). Let g be 28\/95 + t\/(-10). What is the second smallest value in 0.3, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -5\/8*r**4 + 0*r**3 - 21*r**2 + 0*r + 0. Let l(j) = 4*j. Give l(i(k)).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 5:26 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5542, 5539, 5526, 5497, 5446, 5367?\n\"Answer: -t**3 + t**2 + t + 5541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v - 20 = 0. Let m = 2.27 + -2.77. Sort 1\/6, v, m in ascending order.\nAnswer: v, m, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.64564465 - 3130228360.35435535. Let z = i + 3130228557.0000123. Let b = -167 + z. Round b to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 + 538. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 656913533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -34*j - 257. Determine w(-21).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*v - 96 = 266*v. Which is smaller: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-22))**(-31)*(f*(f\/(f\/(f**(-6\/7)*f)))\/f*f)**47)**36 assuming f is positive.\nAnswer: f**(-166140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.813 - -0.187. Let q = -103.00091 + u. Round q to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37714, -37706, -37698, -37690, -37682?\nAnswer: -37674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -35, -47 in descending order.\nAnswer: -28, -35, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 5. Let n(w) = 12*w - 11. Let k = -3 - -14. Let q(l) = k*m(l) - 6*n(l). What is the first derivative of q(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcs when three letters picked without replacement from tcxxxtxtcxtxttxxxxst.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55237837, -110475681, -165713525, -220951369?\n\"Answer: -55237844*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 17*k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2110176 and 1186974?\nAnswer: 18991584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1737 - 5. What are the prime factors of u?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*2*-5 + sqrt(48) + -1 + -3.\nAnswer: -16*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/138240 and -143\/67512960?\nAnswer: 540103680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + (sqrt(396) - sqrt(396)*6) + sqrt(396) - sqrt(44))*6)\/((sqrt(140)\/(5*sqrt(5)))\/sqrt(7)).\nAnswer: -300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q, -3*i + 7*q - 2*q - 9 = 0. Let u = -0.14 - 0.26. What is the nearest to i in 0.2, u, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(2\/(-5)))\/(7\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20748874717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 2*t + 3. Let f be p(-3). Is 11 a factor of -2*(-2)\/(-4) - f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 2*-4*((-2*sqrt(1100) - sqrt(1100) - sqrt(1100))**2 + 5 + -4)).\nAnswer: -140808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -46. What is the hundreds digit of (6 + -1)*(i + (46 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n + 16*n - 3 - 138*n + 231*n + 3.\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**18*w\/((w*w\/(w*w*w**(-12\/7)))\/w)*w\/(w*w**(-27))*w**(1\/15)\/w*w*w assuming w is positive.\nAnswer: w**(4867\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9117 + -4667. What are the prime factors of n?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 20. Let j(h) = -h**3 - 22*h**2 + 22*h - 18. Let v be j(o). Solve -2*k + 4*p = 0, -v*k - 3*p = -4*k + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 25*l**4\/6 + 2*l + 1. Let c(x) = 5*x**2. What is m(c(v))?\nAnswer: 1250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 2*g. Suppose 19 = g*p - 1. Suppose 0 = p*x + 5*s - 85, -4*x - 4*s = s - 69. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6865 times 3?\nAnswer: -20595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068364424 rounded to five decimal places?\nAnswer: -0.06836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) + 475198\/14154. Let i = f - 2\/1011. Let n = -1427\/35 + i. Find the common denominator of 4 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:37 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7502, -13174, -17006, -18998, -19150, -17462, -13934?\n\"Answer: 920*k**2 - 8432*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((1*sqrt(121))\/sqrt(11) + sqrt(11) - sqrt(11)))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13752 and 72.\nAnswer: 13752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 31.\nAnswer: -30\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -223, -227, -231?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -300102220 (base 4) to base 12\nAnswer: -96574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -220 + 321. Let w(l) = l**2 - 3*l + 1. What is the least common multiple of r and w(4)?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*y**4 + 22945670*y**3 + 217571885765*y**2 + 158224996440*y + 28767629520.\nAnswer: 5*(y + 18963)**2*(11*y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 - -12) - (18 + -41 + 50)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - 2 + 9*z + 3*z**4 - 8*z + 2*z**2 as x + j*z**2 + f*z**3 + d*z**4 + h*z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 60.\nAnswer: 17\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -294817653 at least -294817652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/72 + 4)*1*14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 d, and 1 c when four letters picked without replacement from hcddcddddcddc.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14238928553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 + (-9)\/(-2). Let k = 74 + -49. What is the greatest common factor of c and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -1859, -6707, -16251, -32057, -55691, -88719?\nAnswer: -132707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/12507 - 221132\/2188725. Find the common denominator of n and 47\/2100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 4.1, 0.1, 4, 4\/11, 25\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 0, -1\/4, -0.3, -3.98, 67?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 273. Calculate the remainder when 20 is divided by i\/(-16) + 2\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21113 (base 5) in base 10?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) 2\/15 (c) 335\/107 (d) 4 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -3131234?\nAnswer: -3131224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37693 divided by -324\nAnswer: -37693\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58316864756173 and -0.4.\nAnswer: 58316864756172.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or 54\/17?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 5, q: 1, g: 1}. What is prob of sequence lge?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcff when four letters picked without replacement from {n: 1, k: 3, c: 2, f: 4, z: 3, t: 6}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122149275 is divided by 1772?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 2*d + d + 4*d - 3*d + 2*d - 2 + 2 - 4 + d + 4 + (-5*d - d + 4*d)*(3 - 5 + 4))*(0*d - 2*d**2 - d - 3*d).\nAnswer: 2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2 - 1)*1. Let b be (1\/2)\/((-5)\/10). Let n be -12000*l\/(b\/(-50)). Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5. Let z(d) = -1. Let j(l) = -u(l) - 4*z(l). Let v(y) = -2*y**2 + 8*y + 16. Let p(i) = 6*j(i) + v(i). Factor p(m).\nAnswer: -2*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -5)\/(-3 + (-1290)\/(-429)). Are l and 143 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u - 12. Calculate the remainder when g(4) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141623 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/4 + 195*m**4\/2 + 288*m**3 + 573*m**2\/2 + 381*m\/4 = 0. Calculate m.\nAnswer: -127, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/(2\/10). Let q = -447\/5 - -90. Put q, x, 1 in ascending order.\nAnswer: x, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20571, -41141, -61711, -82281?\n\"Answer: -20570*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 9*r = -534 - 44. What is the lowest common multiple of r and 394?\nAnswer: 6698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35200 and 2828800?\nAnswer: 31116800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134 and -2.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -626 - -629. List the prime factors of 9\/m + 6384\/16.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255162.16 rounded to the nearest 100?\nAnswer: -255200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1483, 1484, 1485?\n\"Answer: h + 1482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45756 is divided by 4575.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:37 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -590 < -596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 5402905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41418 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 15*b - 96. Let a = 26 + b. What are the prime factors of 39\/a*24\/18?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 90456144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*n*u**2 + 10*h*n - h*u**2 - 6*h*u + 2*h - 2*n*u**2 + n*u + 4*u**2 - u wrt u?\nAnswer: 2*h*n - 2*h - 4*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 1276*k**3 - 1279*k**3 + 2557*k**3.\nAnswer: 2*k**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8291923 is divided by 70.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -3 - -4)\/(-1). Let z(w) = w**3 + 4*w**2 - 6*w - 1. Let u be z(a). Solve -4*x - 2*t = 22, 0 = u*x + 5*t + 36 + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*sqrt(324)*-2 + sqrt(324))\/(-2*sqrt(48)))\/((1*-1*sqrt(81))\/(sqrt(9) + 4*sqrt(27)\/sqrt(3))).\nAnswer: -3 + 35*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(325) - ((-1 + sqrt(325))*2 - sqrt(325)))*1 + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186946309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 10 = -18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 10.95932 tonnes?\nAnswer: 10959320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-26702.\nAnswer: 106808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7744 (b) -3 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 178*d - 174*d + 5*x - 48, 4*d + 3*x = 40 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -87 + 92\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(-2)\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 60 = 3*n. Let m = -9 + n. Suppose -165 = m*d - 6*d. What is the remainder when d is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3510\/(-14625))\/(18\/20) - (3 - (-4418)\/(-30))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3025133 (base 7) to base 3\nAnswer: 200021012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/3 (b) -4 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/5 (b) -0.09 (c) -1497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 2756\/27. What is the common denominator of -46\/3 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29332 and 1.\nAnswer: 29332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 888 = 412. Let x be (-134)\/26 + 40\/p. What is the remainder when 4\/x*(2 + (-627)\/6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1093*m + 448*m - 174*m to the form q*m + a and give q.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 6. Let o(r) = 2*r**2 - 14*r. Let t be o(7). Give u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:27 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -55, -6, 992 in descending order.\nAnswer: 992, 8, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*x + 795988 = x, 4*s + 796006 = 2*x. What is s rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106241949 and 3102?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578540 is divided by 2436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545 = -340*m + 7955 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 40. Let w be r(4). Let p(l) = -w + 15*l + 17*l + 21*l - 56*l. Give p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*j = -76, -t + 3*j - 42 = -0*t. Let n = t - -9. Let h = n - -98. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (56\/12)\/((-4)\/(-18)). Suppose -2*p - 16 = -2*j, -4*j + w = 1. Is 255 + p\/3 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:09 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5682 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**13)**(6\/11)*z**(-1)\/(z*z**(-4\/17)*z) assuming z is positive.\nAnswer: z**(-1741\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by -6\nAnswer: -325\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3040 and 107\/228?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117356 + 117353 - 234709 - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i - 9 = 0. Let j = 21 - 24. Which is the closest to j? (a) 0.1 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -1. Let i = 4.1 - k. Let p = i + -0.3. Which is the second smallest value? (a) -3\/5 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ois when three letters picked without replacement from {i: 1, m: 2, s: 3, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203261678 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 26 - 21921*j - 26 + 68.\nAnswer: -21921*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 54134.05.\nAnswer: -541.3405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**3 + 3*q**3 - 10*q**3)*(2 - 2*q - 2 + (2*q - 6*q + 2*q)*(2 - 5 + 1) + q - 5*q + 2*q - 1 + q + 1 + 59*q - 2121 + 2121).\nAnswer: -840*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/4 of a century?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2. Let q(b) = -467*b**2. Determine q(i(x)).\nAnswer: -16812*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 - -7.22. Let x = 2.6 - 3. Sort -0.1, x, a in decreasing order.\nAnswer: a, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 - 178 - 25*y)*(-86*y + 48*y - 5 + 39*y).\nAnswer: -25*y**2 + 125*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 2\/5, -2, 4, 2\/15 in ascending order.\nAnswer: -2, 2\/15, 2\/5, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 61.9 (b) 14\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-215)\/(-36)*(-5 - (-1269)\/255). Let t = -1\/34 - m. Which is greater: t or -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:21 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*b - 197*b = 5620. Calculate the remainder when b is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15196\/9087 - 17\/3029. Let w = 0.8 - 0.5. What is the nearest to o in w, 0.6, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 (base 16) to base 11\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339*t**3 - 339*t**3 - 81*t**2 - 31*t**4)*(2*t + t - 2*t).\nAnswer: -31*t**5 - 81*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 752140812 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let r be ((-10)\/n)\/(3\/6). Suppose -4*c - 4*d + 25 = 9, -2*c + r*d + 36 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3191\/3 - 1063. Which is the third smallest value? (a) 1 (b) 7 (c) 4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = 35. Suppose -2*i + 0*i = -5*j - 16, 0 = i + 5*j - 8. Let o be (6\/8)\/(2\/i). Solve -l + 16 = -4*x, d + 0 = 4*l + o*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:24 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119\/6 - 7\/6. Let t(p) = p**3 - 12*p**2 - 11*p - 18. Let l be t(13). Find the common denominator of (-12)\/(-18)*279\/l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3 + 0*v + v)*(0 + 8 - 2).\nAnswer: 12*v + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 7*o**2 + o - 9. Let i be q(7). Sort 0, 12, i in ascending order.\nAnswer: i, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 13, -0.4, 3, 4, -0.10906, -5\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m - 9. Let o be j(7). Suppose 5 = 4*v - 5*r - 0, o*r = 3*v. Suppose -2*a + 7 = -v*x - 7, 0 = 3*a + 2*x - 2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 896 - 415. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101000100001101?\nAnswer: -101000100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 36*v**2 + 101*v + 78. Let z be a(-33). What is the greatest common factor of 2028 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585621.\nAnswer: 4585621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Let u be n(-3). Is 1\/u + 58\/4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/8*(-7890)\/16569.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.019033 + 0.019. Round c to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -3.2, -79, -0.3 in decreasing order.\nAnswer: 5, -0.3, -0.5, -3.2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = 3*g + 4*b, -4*b + 26 = -3*g. Let d be 12\/8 + 7740003\/g. What is d rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.8, 8\/7, -5, 0, 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/20*(-5)\/((-75)\/(-24))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 452708, 452794, 452880, 452966, 453052?\n\"Answer: 86*q + 452622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 6. Let a be j(3). Is 330\/a - (-2)\/(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j + 21*j = 12. Let g(i) = 5*i**2 + 3*i - 2. Let z(v) = v**3 - v**2 + v + 1. Determine j*g(w) - 2*z(w).\nAnswer: -2*w**3 - 3*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 3\/(9\/3). Let g = 13 - 21. Let w = 11 + g. Sort w, m, 2 in increasing order.\nAnswer: 2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223 and -5462491687.\nAnswer: -5462491910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 3, y: 5, x: 2, t: 1, z: 3}. Give prob of sequence nyu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2.9 (b) 1 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000642791843 to seven decimal places.\nAnswer: 0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-35) + 3\/7. What is the closest to -2\/7 in k, 4\/5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-3 - -3) - -3. Let p be 4\/((-4)\/(-3))*l. Suppose 55 - 175 = 20*i. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27181910 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 - 4. Which is the closest to 8? (a) d (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/2982 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (3155 - 3115 - (20 + -1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3 - 346*a**2 + 7*a - 4072 wrt a?\nAnswer: -3*a**2 - 692*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22732.\nAnswer: 2, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k - 1. Let b(q) = -2*q. What is p(b(z))?\nAnswer: 30*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Suppose -5*o + 10 = -x*n, 5*n - o - 4 = n. Factor -2*d**2 + 0*d**2 - 6*d + 4 - n*d**4 + 7*d**3 + d**3 - 2*d**3.\nAnswer: -2*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 13. Let f be (-7)\/((-336)\/246) - (9 + -4)\/40. Give h(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*k + 2*k. Suppose -b - v = -3*b + k, 0 = 4*v - 4. Solve -28 + b = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48903812323.63753683 + 48903812016. Let b = 0.36600317 - r. Let t = b - 308. Round t to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1002\/240583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 6*f. Let m(u) = 134 + 4*u**2 - 134 - 5*u. Calculate 6*m(s) - 5*y(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219845*j - 72972 with respect to j.\nAnswer: -219845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/32 and -81\/17912.\nAnswer: 71648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52728960 divided by 4\nAnswer: -13182240","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/145 (b) 0.5 (c) -41.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 810\/3*(3 - 18)\/(-1). Let w = -781 + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 7. What is the remainder when 3 is divided by y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 + 4. Sort -2\/3, x, -1\/3 in decreasing order.\nAnswer: x, -1\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-550) + 1593\/135.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -4100?\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 35*i + 413. Calculate k(-10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6 + 2*u**2 + 5*u + 2*u**2 - 4*u**2 + 5*u**2 - u**3. Let p be z(5). Let h = 6 + p. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q + 5. Suppose 2*t + 5 - 1 = 0. Let z(v) = 4*v + 3*v - 1 - v - 4*v. What is t*y(a) - 9*z(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 + 28*w + 9. Let c be o(-8). Solve 60*r - c*r = 76 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13064292 and -13064375 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, k: 1, w: 1, e: 1, a: 2}. What is prob of picking 1 k and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22728633 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/3 - 82*y**4\/3 - 187*y**3\/3 + 15880*y**2\/3 - 15044*y + 9840 = 0.\nAnswer: -15, 1, 2, 12, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 31*b**3 - 1579*b**2 - 183*b + 4117. Determine p(51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -1 + (-3)\/(-1). Find the second derivative of -2*v + r*v + 0*v + v + 6*v**5 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24089 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1 - 2*m**2 + 4*m + 3*m**2 - m + 2*m**2 - m**3. Let i be v(4). Let x = -991\/104 + 75\/8. Which is the second smallest value? (a) i (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -439 (base 12) to base 6.\nAnswer: -2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let o(s) = -93*s - 6. Let f be 7\/21*3*-1. Let p(m) = f*o(m) + 5*l(m). What is the units digit of p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 41. Suppose -4*x + 322 = -v*x. Suppose 3*z = c + c - x, 4*c - 3*z = 656. List the prime factors of c.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/30 + 3559*a**2. Let f(t) = -213*t. Determine v(f(z)).\nAnswer: -90738*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2222, 7, 2, 1 in increasing order.\nAnswer: -2222, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3730 = 17*o + 3951. Let m(d) = d**3 + 12*d**2 - 12*d + 3. Determine m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 v when four letters picked without replacement from bvbvuuuvbuuub.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:58 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b + 7. Let t(g) be the first derivative of -6*g**2 + 10*g + 31. Suppose 5*c + 55 = -6*c. Determine c*t(u) + 7*v(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2. Let q(k) = 7*k - 6 + 6 - 4*k. Calculate q(g(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 482866325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 29. Let b be l(-22). Calculate the highest common divisor of 133 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28284 is divided by 442?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 6, -19 in ascending order.\nAnswer: -19, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 5*s + 0*s + (2 - 2 + 1 + (0 + 0 + 1)*(2 - 3 - 1) + (-2 + 1 + 3)*(-3 + 2 + 0) + 5 - 3 - 4 - 3 - 8 + 1)*(-4*s + 0*s - 2*s))*(-3 + 9 + 1).\nAnswer: 637*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247\/252 + 15\/28. Let a(l) = -l**2 + 13*l - 22. Let m be a(11). Which is greater: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3400 and 67410780?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**2 - 155\/6*m**3 + 0*m**4 - 26\/15*m**6 + 0*m + 34 + 0*m**5. Find the first derivative of y(w) wrt w.\nAnswer: -624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 2*d + 73, 0 = -4*u + 2*d + 116. Let a = -22 + u. Suppose a*k = 112 + 78. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310 - 220002?\nAnswer: -220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 105351068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -46, -419, 4, -4, 18 in ascending order.\nAnswer: -419, -46, -4, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1793 = -2269. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 4. Let b(g) = -9*g - 7. Determine 6*b(l) + 11*w(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7585 + 2801*l**2 + 15171 + 7069*l**2 - 7586.\nAnswer: 9870*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(0 + (0 - 1)). Let w(f) be the first derivative of f**4\/4 - 3*f**3 + 3*f**2 + 3*f - 547. Determine w(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/4)\/((-3)\/(-60)). Suppose -k*u + 3 - 8 = -5*y, 0 = -3*u + 2*y + 1. Factor 0*z + 2\/3*z**u + 0 + 0*z**2.\nAnswer: 2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6172, -25, 4 in decreasing order.\nAnswer: 4, -25, -6172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144049 = 5*u - 2*j + 55842, 0 = u + 2*j + 39983. Let c = 58524 + u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + 57 - (16 - 6).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/3441 and -6\/37.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:08 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 7*h**2 - 5*h + 16. Let x be a(11). Let g = -268 + x. List the prime factors of g.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14599333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*n + 90 - 38, -t = 5*n + 121. Let y be (-9)\/(-4) - ((-30)\/n - 1). Factor 20*u - 5*u - 4*u**2 + 5*u + 6*u**y.\nAnswer: 2*u*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at least -18650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.847192 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-4) - (-4 + -5). Suppose 207 = x*w - 5*b, 0 = -4*w + 3*b + 145 + 56. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316510*g + 316553*g = -430 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 + 14*a - 9. Let z be h(8). Let p be (2\/8)\/(-3 - z\/8). Solve 7 = s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947033137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7213 times 2?\nAnswer: -14426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*w**2 + 4*k**2*w - 5*k**2 - 2*k + 55*w**2 + 92 wrt k?\nAnswer: -4*k*w**2 + 8*k*w - 10*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 11858274*c**2 + 47433108*c - 47433112 = 0 for c.\nAnswer: -11858278, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 9. Let j be l(7). Suppose 4*v + 0*v - 8 = -j*p, -4*p - 4*v = -4. Differentiate p*g - 5*g + g - 11 - 10*g**3 wrt g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/9 + 4864*z\/9 - 4865\/9 = 0. What is z?\nAnswer: -4865, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/231159 and 79\/3714.\nAnswer: 286174842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 - -303.989. Let i = 5.011 + t. Which is the biggest value? (a) -0.07 (b) 0.2 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 3\/2*a**2 + 4 - 2\/3*a**3 + 3*a. Let p(x) = x**2 - 2*x - 2. Let l(m) = -2*c(m) - 3*p(m). Let t(b) = 4*b. Give t(l(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from jzeiazzeejeijaei.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbza when four letters picked without replacement from bzbbbaz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301*v**4 - 6120*v**3 + 4*v**2 - 2083960.\nAnswer: -7224*v - 36720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5804 - 1.0804. What is the third biggest value in -2\/3, 0.02, z, 4, 93\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393840 by -13128.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/4 + 2*f**3 - f - 5. Let k be j(-3). Let b = 66 - k. What is the highest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q - 80. Suppose 4*w - 2*h = -8, q = -5*w + 4*h - 0. Solve z + 4*d - 4 = 0, w = z - 2*z - 2*d + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x)*(1 + 1 + 1 + 4 + 1 - 6 + (2 - 2 - 1)*(-1 + 6 - 2) + 3 - 2 - 7).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*f - 28*f + 10*f**4 + (-3*f**2 + 3*f**2 + 2*f**2)*(0*f**2 + 4*f**2 - 2*f**2) + (6*f**3 - 3*f**3 + 0*f**3)*(f - f + 2*f).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 5*u**2 + 2. Let c be b(-5). Let m be (1 + 1 - 2)\/2. Is m equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 0.19 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = -1. Suppose 4*b + 12*b - 80 = 0. Calculate the remainder when v is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:47 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 3089613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/3)\/((-2)\/8). Let z be 232\/20 - 6\/10. Let b = d + z. Solve 4*y - 3 = -5*v, -3 = -b*v - 4*y + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 32, -1\/3 in decreasing order.\nAnswer: 32, 2\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/18)\/(2\/15) and -73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.004 + -2.004. Let s = 7 - 8. Let x = 541 - 541. Sort x, s, p in descending order.\nAnswer: x, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 7. Calculate the remainder when ((-3)\/6)\/(((-2)\/(-92))\/(-1)) is divided by z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4092*p + 445*p + 2440*p.\nAnswer: 6977*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112386 is divided by 3379?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*((l\/(l*l*l**(1\/3)*l*l))\/l)\/l)\/l)**(-13\/2)\/((l\/l**(-1\/3))\/(l**(-2\/7)*l)))\/((l**(-1))**(4\/3))**(-20) assuming l is positive.\nAnswer: l**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:54 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 779 - 779 - 6*m + 8*m. Let t(s) = -324*s**2. Determine t(p(h)).\nAnswer: -1296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i - 57 = 75. Let o = -5.12 - -0.12. What is the biggest value in o, -1\/3, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309 or 310?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 98. Let f be t(32). What is the second derivative of 35*n + 24*n**4 - 2*n**f - 2*n**3 + 2*n**2 + n**3 - 6*n wrt n?\nAnswer: 288*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(1\/3)))\/x)**27\/((x*x**(-1\/7)\/x)\/(x**(2\/3)*x))*(x**3\/(x**(-4\/5)*x))\/(x\/(x*x**2)*x)**(-1\/27) assuming x is positive.\nAnswer: x**(-55214\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 151\/580426 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/2)\/(80\/(-48)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 10?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 67802\/12) + 2. Suppose 5*v - 3*j + 16911 = 8*v, 2*v - 4*j - 11250 = 0. Let i = v + k. Calculate the common denominator of -67\/2 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1512784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11792519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.1, -53, -4, 0.4 in ascending order.\nAnswer: -53, -4, -2\/9, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/10 + 137*r**4\/6 + 87*r**3 - 2316*r. Find the second derivative of l(f) wrt f.\nAnswer: -12*f + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 40 (c) 0.535 (d) -4 (e) 1\/4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1562, 3, 0 in increasing order.\nAnswer: -1562, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59966?\nAnswer: 2, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 4)*6 + -3*(sqrt(891) + -3).\nAnswer: 33 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5823\/12)\/(-1 - 5\/(-4)). Solve 1933*h + 40 = d*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 195*c**2 + 102*c**2 + 93*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 at least as big as 4493\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -34. Calculate the remainder when 40 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + 13. Suppose -r - 7*z + 2*z + 65 = 0, -5*r - z = -301. Calculate the highest common factor of u and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -4, 0, 2, 618 in decreasing order.\nAnswer: 618, 191, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*l**2 - 27*l**2 - 9*l**2 - 228*l**4 + (-4*l**3 + 5*l**3 + 0*l**3)*(-2 - 3*l + 2) to the form u*l**2 + o + j*l + q*l**3 + m*l**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2*1\/(-3). Suppose 25*s - 7*s + 72 = -0. Sort q, s, 3, 1 in descending order.\nAnswer: 3, 1, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**(-26\/9))**34\/(a\/(a**7\/a)*a**4*(a**(2\/3))**(-50)) assuming a is positive.\nAnswer: a**(-1459\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -160*t + 438. What is the thousands digit of g(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (sqrt(34) + -5*(sqrt(34) + sqrt(34) + -2*sqrt(34)))) + sqrt(34) - 2*sqrt(306))\/((4*sqrt(242) - sqrt(242))*-2).\nAnswer: 5*sqrt(17)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171462908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 4 - 4 + 2*c - 7*c + 3*c + 5 - 5 - c + (4 + 0 - 3)*(-c + 0*c + 3*c))*(2 - 2*c - 2) to the form a + m*c**2 + y*c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(28) - sqrt(224)\/sqrt(392))*1*-5)**2.\nAnswer: 90000\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:03 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -24. Let z(k) = k**3 - k**2 - 3*k + 2. Let q(j) = 3*j**3 - 2*j**3 - 2*j**3 + 2*j - 1. Let d(v) = -6*q(v) - 5*z(v). Determine d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-902)*6\/(-24)*11*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhjjyh. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 > 41427\/2150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**4\/12 + t**3\/3 + t**2. Let v(l) be the third derivative of 5*l**4\/24 + 5*l**3\/6 - l**2. Calculate -8*g(n) + 3*v(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/360 + i**5\/20 + 5*i**4\/24 - 2*i**3 + 146*i**2. Let c(b) be the first derivative of n(b). Determine c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903232 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - d**4 + d**4 + (-2 + 2 - 3)*(-4*d**4 + 3*d**4 + 2*d**4))*(2 - 2 - 2*d)*(236 - 147 + 905).\nAnswer: 3976*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 - (-2)\/3. Let h be (6 - (r + -1))*1. Suppose -5*y = -0*y - 65. Solve h*q + 26 = -4*b, -y = 5*q - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -91\/5, -2\/9, -0.1, 1\/3, 88\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 + 2515 = 7*m. What are the prime factors of m?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 6*m**2\/5 + 7022*m\/15 + 52 = 0.\nAnswer: -390, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m*n*t**2 - 81*m*n*t - 4*m*t + 14*n*t**4 - 95*n*t + 562*t**2 wrt t?\nAnswer: -8*m*n + 168*n*t**2 + 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 88552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 33625*n - 100920.\nAnswer: 5*(n - 3)*(n + 6728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 26?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 145 + 45 + 50 + 2825*t.\nAnswer: 2825*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 2 - 3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*t - 347*t + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.9280001 minutes to days.\nAnswer: 0.005505555625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (30 + (-2553)\/92)*(-6 + 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 1007936*k\/9 - 126991872512\/9.\nAnswer: -2*(k - 251984)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 121564?\nAnswer: -29\/121564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4795342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 = 64. Let k(w) = w - 8. Let r(c) = -5*c - 5. What is the remainder when r(-4) is divided by k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/10 - 118*l**3\/15 - 98*l**2 - 2376. Suppose c(i) = 0. Calculate i.\nAnswer: -49, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -92, -88, -84, -80?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 6\/8. Let s = -247 + 247.294. Let d = s + -0.694. Put v, -2\/57, d in ascending order.\nAnswer: v, d, -2\/57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 233 - 203 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/2 + i**2 - 6*i + 894. Let k(l) = -1. What is -6*k(v) + r(v)?\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -17. Let i = w - -9. Let u = i + -3. Is u > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:14 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6805418*f + 6805418*f + 35*f**3 - 25*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.3285 + 0.0015. Let n = 0.33 - f. Put -1\/7, n, 0.5 in descending order.\nAnswer: 0.5, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, -33, 1, 779, 2.\nAnswer: -33, -3, -1, 0, 1, 2, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -1)*192\/(-9). Let k be (24\/(-32))\/((39\/(-216))\/13). Let f = n - k. Calculate the greatest common divisor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 2*k**2 - 5*k - 18. Let f(j) = -8*j**3 + 4*j**2 - 11*j - 34. Give 3*f(o) - 7*p(o).\nAnswer: -3*o**3 - 2*o**2 + 2*o + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dallldslsudduludll. Give prob of sequence sdd.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8*c. Differentiate 4 + 10*p + 1 + c wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -57, 4 in descending order.\nAnswer: 4, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*f. Let o(q) = -86*q**2 + 50*q**2 - 1320 + 1296. Let r(h) = -h**2 - 1. Give f*o(p) - 24*r(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let u = 7 - 7.1. Which is the third biggest value? (a) 2 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35474*l = 35793*l - 5423 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0\/(u**(-7)\/u*u))\/(u**(-2\/3)*u*u**(-1\/7)))**(-13\/3))**(-42) assuming u is positive.\nAnswer: u**(3718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25300 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43898504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2553*o**2 - 2556*o**2 + 3 + 3*o**3 + (2*o**2 + o**2 - o**2)*(3*o + 0*o - 2*o) to f*o + b*o**2 + a + q*o**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3401 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j - 6 + j**2 - 38*j + 20*j. Let w be i(3). Suppose 26 = 3*o + 17. Solve w*u + 9 = o*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254 (base 6) to base 3\nAnswer: 102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**3. Suppose -3*c - 18 = -0*c - 4*a, 0 = -c - 4*a - 6. Let v be 5\/c + (-16)\/96. Let k be h(v). Which is greater: -0.2 or k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214.436 + -0.164. Let s = 215 + w. Let d = -3.4 - -0.4. Which is the nearest to 0? (a) s (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 86 = -5*b - j, -5*b + 89 = 2*j. Let h be 0 + 8 + 83 + -90. Solve h + b = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 4:01 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-7)\/(-4) - (-3)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2058)\/(-18))\/(-7) + 40\/30. Let m(y) = -y - 16. What is m(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45874.98 litres?\nAnswer: 45874980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {u: 4, c: 15}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from lwwbwbwbaw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347418 rounded to the nearest 1000?\nAnswer: 1347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 3\/(-3)*-3 + 7. Suppose 3 = x*s - 6. Differentiate 2 + 3 - 14 - s - 31*r wrt r.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + r + 8. Let u be q(0). Let z(a) = u*a + 2*a - 9*a + 4*a. Let o(b) be the third derivative of -b**4\/6 + b**2. Give o(z(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u + 0*u)*(u + 3*u - 2*u)*(50 + 14 + 49) + (-3*u + u + 0*u)*(u**2 + 0*u**2 - 2*u**2).\nAnswer: 228*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672091 times -204?\nAnswer: -341106564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = -2*g, -m + 5*m - 5*g = 28. Calculate the remainder when 33 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11021030?\nAnswer: 11021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -282. What is the tens digit of ((-77)\/a)\/(258\/(-64) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 2\/15, -5, 1\/6.\nAnswer: -5, -6\/7, 2\/15, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s + 2 + 3\/10*s**5 + 3\/8*s**4 + 0*s**2 + 1\/12*s**6 + 1\/6*s**3. Factor y(o).\nAnswer: o**2*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 0*x = 6. Let o be 48\/(-28) + 2\/(-7). Calculate the lowest common multiple of -1 + (o + 1)*-6 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12740 and 79\/650.\nAnswer: 63700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/4 - v**4\/2 - 11*v**3 + 117*v**2\/2 - 405*v\/4 + 54 = 0.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 166, -2\/11 in decreasing order.\nAnswer: 166, -2\/11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1006*h**3*y**6 - h**3*y - 41754*h**2*y**3 - h**2*y**2 - 11*h**2*y + 7675*h*y - 176*h + 2*y wrt y.\nAnswer: 120720*h**3*y**3 - 250524*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-77)\/44)\/(2\/(-1688)). Let z = j - -86. Suppose 2084 = 4*q + 4*l, 5*l + z = -2*q + 5*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3*i + 3. Let y be p(3). Let v be (1\/1)\/(1\/2). Find the third derivative of -t**3 + v*t**y - t**2 + 4*t**2 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqto when four letters picked without replacement from {t: 2, c: 1, q: 2, o: 4, a: 1, k: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17928904 divided by 640318?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 4299\nAnswer: 4299.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038534120 to the power of 1\/3, to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/21)\/(6\/(-21)). Let b be -18*(u + 60\/(-9)). Factor -b - 6*q + 72 - 2*q + 4*q**2.\nAnswer: 4*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8500 is divided by 181.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27395336*o*r**3*t + 98*o*r**2*t + 2*o*r**2 - o*r*t + 11*o*t - 22*r**3*t + 2*r**2*t + 210*r**2 + 10 wrt r?\nAnswer: -164372016*o*t - 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 - 8*v**2 + 5*v + 34. Calculate z(-3).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72))\/(-1*sqrt(144)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -1, -2\/7, -2, 0.3, 2\/75 in descending order.\nAnswer: 106, 0.3, 2\/75, -2\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85139033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s*s**(-31)*s**(2\/33)*s*s\/(s**(-3)\/s)*s)**(-2\/59) assuming s is positive.\nAnswer: s**(2438\/1947)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2170037, 4340094, 6510177, 8680298, 10850469, 13020702?\n\"Answer: 2*a**3 + a**2 + 2170040*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 10041*s - 10029*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 18*q**2 + 26*q + 60. Let z be t(-7). Suppose -p + 0*p = -74. Is z > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2110583995 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/16*1*8. Suppose -b*i + 2*v + 42 = i, -2*i + 2*v + 12 = 0. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*i**3*n - 12*a**2*i**3 + a**2*i**2*n + 31*a**2*n - i**3 - 2*i*n wrt i?\nAnswer: -6*a**2*n - 72*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 6*o**2 - 2*o - 7. Let l(k) = -k**2 + 1. Let i(j) = -j**2 + 40*j - 335. Let y be i(28). What is y*c(v) + 6*l(v)?\nAnswer: 3*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - sqrt(228)*-2)\/sqrt(12))**2 + 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 253. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 20 = -v. Let n be (-12)\/(-5)*v\/6. Suppose 4*t = n*t - 6. Solve 0 = -t*o - 2 + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -74.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 7 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 3. Let k = 34.3 + -34. Sort b, k, 0.5 in increasing order.\nAnswer: b, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (386\/(-4439))\/(1\/(-161))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 239*y**2 - 5*y**3 - 239*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 567803736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33762741443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/30 and -39\/134530.\nAnswer: 403590","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 {i: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -85802.3717 rounded to the nearest ten?\nAnswer: -85800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(-4 + 5 + 0)*(4*l - 4*l - l) - 2*l**2 + 24 - 24.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15752577 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 - 2*t**3\/3 - 9*t**2\/2 - 2*t - 482. Suppose -g - 3 = 4. Calculate i(g).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-3)\/3)*(-10)\/6. Which is smaller: -9 or t?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.2. Let l = h - -0.1. Let c(o) = 4*o**2 - 9*o - 6. Let a be c(3). What is the nearest to -2 in a, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from wxwwkkkczmwzwzwwwzmc.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 1 + 31*i + 20*i.\nAnswer: 26*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087494542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w - 21. Let u = w - -6. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80*0.1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086 minus 7?\nAnswer: -7.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 22 = 3*f, -14*w - 26 = 4*f - 9*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (6 + -12)\/(-12). Let o be 2\/(-3)*6\/(-1). Find b, given that 0 - 3\/2*b**2 + 1\/2*b + a*b**3 - 1\/2*b**o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 7, r: 8}. Give prob of picking 1 h and 1 k.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 5. Let q = 13 - 15. Put -2\/21, v, q in increasing order.\nAnswer: v, q, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 20 = -5*c, 5632*c - 5634*c + 2 + 4 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r + 19 = k, -4*k - 3*r = -31. Let y(x) = -25*x + 1. Let b be y(-1). Let m be (-4)\/(-26) - (-74)\/b. Solve -m*h = -k - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(3\/4)*i))**(9\/2)\/(i*i**6*i**(-2)))**(-1\/89) assuming i is positive.\nAnswer: i**(67\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -83.21 * -127.7\nAnswer: 10625.917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -131*j + 2959. Let c be t(22). Solve 0 = -30*d + c + 103 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16540114 to the nearest integer?\nAnswer: 4067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 - 2129774*i**2\/9 + 315520*i + 2839688\/9 = 0 for i.\nAnswer: -2\/3, 2, 354961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16761 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (52 + -87 - -53) - (21 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -31*m**7\/5040 - 13*m**5\/6 + m**4\/12 - 225*m**2. Let l(f) be the third derivative of i(f). Let b(y) = -6*y. Give b(l(x)).\nAnswer: 186*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {y: 4, o: 3, n: 2, z: 3, q: 2, l: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from {g: 1, n: 6, j: 2, r: 1, m: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/30 - 48*o**5\/25 - 192*o**4\/5 - 4096*o**3\/15 + 22. Factor w(v).\nAnswer: -v**2*(v + 16)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*f**2 - 45*f**2 + 3*f**2.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (6 - (3 - 1)) + -12 + 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))\/r)**5*(r**(-1)*r)**(-1\/57) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t - 440 = 667 + 138 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-1 - 14) + 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let k = 3 - -4. Let a = k + -2. Sort i, 2\/5, a in descending order.\nAnswer: a, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*n**5 + 4402694*n**3 + 2413*n**2 - 21718 wrt n.\nAnswer: -1440*n**2 + 26416164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:13 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 946*j**2 + 14*j + 63. Does 12 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 21, -16, -25.7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(-3*(sqrt(1008) - sqrt(1008)*2))**2 + ((-5*-1*sqrt(1008) - sqrt(1008))*-1)**2).\nAnswer: 120960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -52*t + 5. Calculate h(-3).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15321613\/2618 - -40966\/7. What is the common denominator of 43\/1122 and a?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 328024264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 22 - 10 - 28 + z + 8*z**2 in the form o*z**2 + x + j*z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20316 - 4330. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -114, -53, 48, 195, 394?\n\"Answer: t**3 + 14*t**2 + 12*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*n + 111*n + 128 = 31*n - 32 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2758 to two dps.\nAnswer: -4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -10. Suppose -2*k - 20 = -q*k. Solve k - 8 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*l = 784*l - 1681*l + 817 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100300223 + 2?\nAnswer: -2100300221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -156203 - -23?\nAnswer: -156170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5359*w + 144. Let c be h(7). Suppose c - 6605 = 28*g. What are the prime factors of g?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 185, 83.11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1568, 6433, 14538, 25883, 40468?\nAnswer: 58293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2406 and 155682636?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 11. Let n = f - -8.56. Let k = n - -0.09. Round k to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183)\/(-35) + 606\/(-808)*(-32)\/(-30) + -7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixfe when four letters picked without replacement from {e: 7, f: 2, i: 3, x: 5}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/56 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*r - 1147, 3*r + 317 + 63 = j. Let g = j - 380. Solve 3*x + 9 = -2*h, -g*x + 5*x - 5*h = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8749.244 micrograms?\nAnswer: 0.008749244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13170881 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 364.563485058 + 78.436512632. Let g = -443 + d. Round g to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 15. Give p(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*z - 1655*z - 5181 = -118*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 25 = 2*b - 4*b - 0, -47*b = -48*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.5 + 0.5. Let w = t + -9. What is the third smallest value in 2, w, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495*x = -293*x + 2606*x + 1012*x - 308480 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 4409 = -5113 - 5351 for r.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165272531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 17147283.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose -a*t = -3*i - 11, i + 0*t - 11 = -2*t. Solve -i*y = -0*y - 2*s - 10, -3*y - 3*s - 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + -18. Let n = 28 + g. Solve -n*u = 4*s - 2, -2*u - 3 - 4 = -5*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193732 and 280.\nAnswer: 1937320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*l*p**6 + 22*l*p**2 + 7066*l*p + 4*l - 1654*p**6 + 2 wrt p.\nAnswer: 21840*l*p**3 - 198480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 11*j - 8. Let d be p(10). Let k = d - 49. Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 1 + (56 - 52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -4*f, f = 4*a - a + 17. Suppose -3*s + f = -13. Solve -3 = -s*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10090 (base 16) to base 5.\nAnswer: 4100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.18.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/(455\/(-182)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) - (-1)\/(2 - 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621 (base 12) in base 10?\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/6 - 2207\/168. What is the common denominator of 39\/1096 and q?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 0.0436.\nAnswer: 0.4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2526746839 to the nearest integer?\nAnswer: 50267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/845, 0, -5, -3, 8, -28\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 13*a**2 + 42*a + 37. What is r(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -38. Suppose 2*o - 1 = 2*i - o, -4*i = -2*o - f. Suppose i*a - 27 = -2*a. What is the smallest value in -1, a, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l + 10*l + 4, 8*n - 7 = 43*l - 44 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590 = 91*y + 57*y + 298 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*o + 3)*(-o**2 - 1 + 1) - 4*o**3 + o**3 + 2*o**3 - 2*o**3 + 9*o**3 - 2*o**3 + (o**2 + 0*o**2 + o**2)*(-3*o + 2*o - o) - 3*o - 5*o**3 + 3*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccx. Give prob of sequence ccx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*g - 228*g**3 + g**2 - g**2 - 225*g**3 + 462*g**3 + 0*g**3 + 2*g**3 - g**3 + (g**2 + 2 - 2)*(-2 - 2*g + 2).\nAnswer: 8*g**3 + 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 + 2*a**3\/3 - a**2 + 1429*a - 220. What are the prime factors of r(0)?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-14560)\/(-340)) - (-17)\/221?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2150136 (base 8) to base 9\nAnswer: -1070321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*z**5 + 72*z**4 - z**2 - z - 1989 wrt z.\nAnswer: 1440*z**2 + 1728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 1003*f**2 + 13857*f + 158. Determine r(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2 - 5*i + 5. Let f be 2*2 + -2 + 1. Let y(d) = 3 - f + 1. Calculate -c(l) - 5*y(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 237755517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 7.6.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 12, 0 = -2*a - 4*y - 7 - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 89 = 58. What is the remainder when t is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129692 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1459002 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 1\/20*b**5 - 1\/12*b**4 + 0*b**3 + 0 - 4*b**2 + 0*b - 1\/720*b**6. Let x(n) be the second derivative of o(n). Calculate x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*a = 2, -2*n = -5*n + 2*a. Let u be 330\/18 - n\/3. What is the greatest common divisor of u and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -629219 or -629220?\nAnswer: -629219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5101*q - 46093. What is o(9)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -4. Let p be (-4)\/((-1)\/(1\/u)). Which is the closest to -2? (a) 1 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 10*a**2 - 8*a - 6. Let h be l(9). Suppose 3*d - 11 = -h*t + 13, -3*d = 5*t - 34. Is (291\/d)\/(2\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 63 = 4*h + 11*q - 26*q, h - 53 = -2*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1118*w - 2*w**2 - 1110*w - 3*w**2. Let f(c) = 2*c. Calculate f(s(u)).\nAnswer: -10*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/22482999 and 16\/157380993?\nAnswer: 157380993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + (sqrt(76) - (sqrt(76)*1 + 4)) - (5*-2*sqrt(76) - -1*sqrt(76)*-6))*-2)**2.\nAnswer: -1664*sqrt(19) + 77993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 55 - 135 - 63 - 2*u**3 - 137 as w*u**3 + d*u**2 + v*u + p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 9. Suppose 6 + 14 = 5*q. Solve g = -q*g - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 38 = 2*o, 5*o = -v - 34 - 17. Let n = o + 13. Let g(k) = -n*k + 3*k - 5*k + 2*k. Let i(d) = -8*d**2. What is i(g(m))?\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, 2, 16 in decreasing order.\nAnswer: 16, 2, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 286435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 263*b - 2964. Determine o(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2051*p + 74142 = -678*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laa when three letters picked without replacement from {r: 1, m: 1, l: 3, v: 7, a: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 8. Let k be o(-8). Suppose -5*g = -k*g - 15. Solve 0 + 3 = g*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*k + 48 = -3*k, -4*f - 4*k = -64. Suppose -2*b = f - 2. Let u be 4 + -2 + -3 - b. Solve -u*c = -c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 964?\nAnswer: -963.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4*m - 25. Calculate the remainder when l(11) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -63*v + 3347. Let z be c(53). Let d(j) = 3*j**2 + j + 11. Let k(l) = -5*l**2 - 2*l - 17. Determine z*d(g) + 5*k(g).\nAnswer: -g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*-1*0. Let h(s) be the first derivative of -1\/4*s**4 + w*s + 0*s**2 - 2\/3*s**3 - 2. What is the third derivative of h(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/2, -70, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + v = 24*m - 153, 2*v - m + 3*m + 96 = 0 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*a**3*k + 14*a**3 - a**2*k - 6*a**2 + 2171*a*k - a - 2*k - 7 wrt a.\nAnswer: -648*a*k + 84*a - 2*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961785753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22348 and 24?\nAnswer: 134088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738069?\nAnswer: 3, 347, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - g**2 + 8*g + 14. What is w(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - 825 = 37*a - 31739. What is the remainder when 386 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**3\/6 - s**2\/2 + 4*s. Let u(x) = -x + 1. Let f(n) = g(n) + 2*u(n). What is f(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22986 - -23061. Solve v*z - 88 = 53*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/4 - 20889*z**2\/4 + 463914*z - 10238052 = 0.\nAnswer: -7051, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -5)*(-430)\/(-344). Let r = 0.1 + -2.1. Let d = 2.1 + r. What is the nearest to -1 in f, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*n + 35 = 0, -5*j + 30 = 2*n - 0*n. What is the first derivative of 1 + 0*h**4 + 5*h**j - 3 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 3*a**2 + 3*a + 3. Let m be y(-3). Suppose -3*g + 117 = m. Let j = g - -9. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 3, y: 3}. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 25*r - 99 = -33*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6220459.\nAnswer: 7, 888637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l**2 - 86*l**2 + 25511 - 25434.\nAnswer: 2*l**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*a + 8 = 4*r, 4*r = 3*a + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 3 + -4 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 10*d**2 + 11*d - 13. Is l(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erj when three letters picked without replacement from rejjejrseeeesrj.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 5*h**4\/24 + 5*h**3\/2 + h**2. Suppose -3*s - 4*k = -39, 12*s + 4*k - 65 = 7*s. Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -219497.847?\nAnswer: -219502.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 40972.\nAnswer: 204860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.1 (c) -2\/3337 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 777*p + 4. Let y(t) = 147*t. What is y(c(d))?\nAnswer: 441*d**2 + 114219*d + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4200401 (base 5) in base 12?\nAnswer: -33a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -6, 12 = 5*u - m. Suppose 2*g + u*y = 5 + 1, -3*y = 12. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(64\/(-560))\/(-2 - (-16)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 + 3 = 4*z, z = 3*w + 8. Let x = -379\/48 - -2039\/240. Solve x + 3\/5*d**z - 6\/5*d = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -4e36347?\nAnswer: 4e3634a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.649316493 rounded to two decimal places?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2027, 2278, 2531, 2786, 3043, 3302?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.6 and -796.3.\nAnswer: -6051.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 0, -29 = 4*s - 0*s + 5*c. Let q = s - -13. Find the third derivative of 245*x**5 - 239*x**5 + 24*x**q + 3*x**2 wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let s(f) be the third derivative of f**5\/60 + 98*f**3\/3 + 8*f**2 + 2. Calculate z(s(m)).\nAnswer: 2*m**2 + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/((-2)\/12). Put w, -3, 3\/5 in ascending order.\nAnswer: -3, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d. Let y(l) = 26*l + 33037. Determine y(j(g)).\nAnswer: -78*g + 33037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -f - 192. Let u(q) = -q**3 - 15*q**2 + 17*q + 19. Let o be u(f). What is the greatest common factor of o and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 718*c - 133. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114680, 114673, 114658, 114635, 114604, 114565?\n\"Answer: -4*g**2 + 5*g + 114679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 25, 49, 73?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.008 (b) -0.3 (c) 0 (d) -1\/25 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - 0) + 1)*1. Let w(b) = b**2 - 4*b + 5*b**2 - 5*b**3 + 4*b**3. Let c be w(5). Calculate the highest common divisor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31575591 and 999.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4212 and 1334110284.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*v - 2*w - 206, 0 = -w + 2. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436 + -438.07. Let f = -0.07 - p. Put -0.3, -0.5, f in descending order.\nAnswer: f, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/267218 and -31\/419914?\nAnswer: 2939398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 12 + 10*m - 12 in the form t*m + k and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-20))\/((-18)\/15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 3*g**2 - 40*g + 101. Determine n(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -3\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -430, -1446, -2438, -3394, -4302, -5150?\n\"Answer: 2*s**3 - 1030*s + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 671930357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by (-415)\/(-30) + 1\/(1 + 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/126039 not equal to -13\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11211 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.032 + 0.032. What is the nearest to 3 in 0.1, m, 4\/7, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3 - 2764*k**2 - 128731*k.\nAnswer: -30*k - 5528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 67*q - 4. Let a be b(-13). Calculate the greatest common divisor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 12*b - 3. Determine x(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 320. Let n be f(47). Let d = -582 - n. What is the highest common divisor of 152 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 3*i**4\/8 - 4*i**2 - i. Let h(g) be the first derivative of c(g). Let r(m) = 2*m**2. Determine h(r(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/14 or -25\/19?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(0*d + d - 2*d - 5*d + d + 3*d + (1 - 3 + 0)*(d - d + 2*d))*(1967*d + d**2 - 1967*d) + 0*d**2 + 0*d**2 - 2*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/7 (b) 0.5 (c) -1\/113 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -623843\/7137552 - 18\/8747. Find the common denominator of 65\/272 and d.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 + -0.07. Let o = d - 0.1500001. What is o rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 1 - 4 - 3*u**2 to the form s + j*u + r*u**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 2, b: 4, r: 8, l: 1, x: 3}. Give prob of picking 1 q, 2 b, and 1 l.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/408 and -61\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2. Let h be (-6)\/(-4)*4\/3. Suppose -3*o - 18 = -3*z, 0 = 6*z - z + 3*o + 2. Let u(m) = -7*m**2 + m**h + 5*m**z + 3*m. What is w(u(j))?\nAnswer: -j**4 + 6*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149233387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/7*2\/(-6). Let b = -1.5065 - -1.5. Let g = 1.0065 + b. Does g = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.6 + 30.035. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 10, 21, 2\/3, -56, -6 in decreasing order.\nAnswer: 21, 10, 2\/3, -2\/17, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - ((-12)\/(-3) - 4). Suppose 6*n = 3*n + m. Solve 0 = t - 3*t + 4*v + 16, 4 = n*t - v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-12))\/((-4)\/(-1472)*69)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84318, 84399, 84480, 84561, 84642?\nAnswer: 84723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 2*g**2 + 3 + 5\/3*g**3 + 1\/4*g**4 - g. Let y be o(-4). Is y less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 42*q - 15*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 56*b - 93. Calculate the remainder when 170 is divided by u(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 223457?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.252255 minutes?\nAnswer: 0.00420425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-424 + 269 + 412)*(-4*c**2 - 4*c**2 + 6*c**2)*(7 - 7 - c) + (6 + 3 - 4)*(-4 - c**3 + 4).\nAnswer: 509*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102) + sqrt(102)*-1) - sqrt(102))\/(-1*sqrt(6)*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 29*w - 209. What is c(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1.77?\nAnswer: 0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -5, -0.11 in decreasing order.\nAnswer: 0.16, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -791 = -797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006023 to 6 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*t - 4*a, 5*a = 2*t + 9*a - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 251 - 20*(-7)\/(-28). Suppose -24*c - l = -27*c. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 1516*a + 18480 = 0. What is a?\nAnswer: -44, 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 8. Determine q(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2114 + 6771. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 245.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -64 in decreasing order.\nAnswer: 5, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-257 - -95 - -167) + 124\/(-26).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = 5. Let n be 6\/(-21) + ((-144)\/(-7))\/t. Let s be 3\/1 - (-9 + n). Solve s = -k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 9. Let p be y(-6). Suppose 2*r + 0*s + 2*s - 132 = 0, -s + 3 = 0. Let g = r + -59. Solve -g*n + p*n = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4954.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37453859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5031 (base 7) to base 11\nAnswer: 133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-3) - 1) + -39. Let n = b - -29. Is 1 + 541 - (n - -15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 6954?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*h + 5, 3*y + 5 = 4*h + 4*y. Find the first derivative of -2 - 207*i + 207*i - h + 12*i**4 wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 352931460*w**2*z + 46064*w**2 - 54*w + 9 wrt z?\nAnswer: 352931460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-1 - 0\/(-2)). Let z(x) be the third derivative of x**4\/24 + x**3\/3 - 2*x**2. Let q be z(3). Solve -j = 3*t + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5033 (base 6) in base 12?\nAnswer: -779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17755135 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424524 (base 9) in base 13?\nAnswer: -215b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64337\/6 + 10723. Sort 4, -0.43, -2\/13, t, 2\/5 in ascending order.\nAnswer: -0.43, -2\/13, t, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 16. Let s = g - -5.7. Let m = s + 0.5. What is the closest to m in -2\/3, 3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/(-40)*(-32)\/6. Is (v\/5)\/4 - (-2448)\/30 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/77 (b) -2\/31 (c) -1\/9 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 928418420 divided by 264884\nAnswer: 3505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 36*t**2 + 2*t + 25. Let p(d) = 2*d**3 - 36*d**2 + 3*d + 25. Let i(o) = 4*p(o) - 5*r(o). Let k be i(18). Solve -14*s + 12 = -k*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**3 + 56*k**3 - 9*k**3 + 3*k**3 - 2*k**3 + 2*k**3 + (8*k - 4*k + 3*k)*(2*k - k**2 - 2*k) to the form v*k**3 + a*k + c*k**2 + u and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c**2 - 10*c + 15. Let w(o) = o**3 - 16*o**2 - 9*o + 16. Let i(r) = -4*s(r) + 5*w(r). Suppose i(u) = 0. What is u?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*d - 4*d + 3 = 0, 4 = -4*d. Let c = 4 - -1. What is the least common multiple of c and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*h**4 - 2*h**3 - 339*h**4 + 2*h - h**2 + 2*h**3 in the form j*h**3 + m*h + r*h**4 + f + i*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -158*-20\nAnswer: 3160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -3*z + 404. Find the third derivative of 367*d**3 - z*d**3 - 182*d**3 + 15*d**2 wrt d.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2510 (base 6) to base 7.\nAnswer: -1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 2*b**5 + 76801*b**3 + 4*b**2 - 1411*b + 14 wrt b.\nAnswer: 240*b**3 - 120*b**2 + 460806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/10)*o)\/o)\/o**(-8\/3) assuming o is positive.\nAnswer: o**(113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-21) + 46\/14. Suppose -a + b*p + 8 = 0, a + 2*p = -a. Let j = 0 + 0. Solve j = -2*s - 5*k + 5, -2*k + a = s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1598684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p - 3. Let r be q(-2). Suppose r*v = 19*v - 2564. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5474\/(-345) - -16)\/(477\/162 + -3)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*s - 28*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d + 3. Suppose -k = -2*m - 3, 5*m + 6 = -26*k + 27*k. Let l be g(m). Solve l - 32 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -396\/5 + 4\/5*o**2 - 392\/5*o.\nAnswer: 4*(o - 99)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.8, -0.2, 0.4, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8734 + 8737. Sort -2, 2, g, -48, -13 in decreasing order.\nAnswer: g, 2, -2, -13, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 2, -2*n + 56 = -h. Let k = -39 - h. Suppose 0 = 4*x + 16, -4*x = -l + k + 3. Solve -z = -y + 2, 2*z - 3*y = -6 + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32106 + 36024. List the prime factors of y.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/6? (a) -36 (b) 1\/4 (c) -0.5 (d) 59 (e) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 3, 0, 181, 14 in ascending order.\nAnswer: 0, 3, 14, 181, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(24) + sqrt(24) + sqrt(24))\/sqrt(2) - (sqrt(144)*3)\/sqrt(12))\/((sqrt(180)*5)\/(sqrt(20)*-1)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 2*b - 1. Let c = 1048 + -1047. What is a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4846*z = -2424*z - 2441*z + 836 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 39*x**2 + 111*x - 624. Let p be n(-42). Calculate the highest common divisor of p and 2073.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*v + 21. Suppose -v*y - 318 = -1170. Suppose 5*h - 7*h = -y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9954, -19933, -29912?\nAnswer: -39891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.14 less than 161789567.7?\nAnswer: 161789609.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*j + (2*j + 2*j - 3*j)*(1 - 8 + 2).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phauq. Give prob of sequence hqp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-126)*44\/(-44)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23975732.7 nanoseconds to days.\nAnswer: 0.00000027749690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 98693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 d when three letters picked without replacement from {a: 1, d: 4, t: 7, o: 2, i: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 14, d: 1}. Give prob of sequence aw.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151565 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31191613861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 12*p - 100. Which is the third smallest value? (a) p (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w + 173. Calculate i(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19832 and 659034713?\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268\/9*q + 262\/9*q**4 - 398\/9*q**2 + 4\/9*q**5 - 136\/3*q**3 + 0 = 0.\nAnswer: -67, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzpdzdzddzdzddp. What is prob of picking 1 p and 1 d?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.4, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 6, -6, -2\/9 in increasing order.\nAnswer: -6, -2\/9, 0.2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406826 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 948691.8t in grams?\nAnswer: 948691800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4*v + 4093305*o**3*v**2 - 3*o**2*v**2 - 1561*o**2*v + 375*o**2 wrt o?\nAnswer: -24*o*v + 24559830*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -327, -390?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 288\/(-28). Let f be -2*(-5)\/s*-3. Suppose 0 = -f*p + 9, -2 - 1 = -2*u + 5*p. Calculate the remainder when 33 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 + o. Let g(y) = -13*y**2. Calculate g(h(r)).\nAnswer: -832*r**4 - 208*r**3 - 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*w + 5*w. Suppose -w = r + 4*r. What is the units digit of (2 + -4)*18\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602354359.\nAnswer: 19, 31702861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561064 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9698152 at least as big as -38\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(sqrt(1280)*-2 + -4)**2.\nAnswer: 1280*sqrt(5) + 25679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -34 + 3*r - 1\/3*r**3 - 2*r**2 + 1\/6*r**4. What is u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28882 and 5.\nAnswer: 144410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - 4*b**2 + 24*b - 5. Let a be o(-6). Suppose -11*c + a + 236 = 0. Let d = 113 - c. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9246.829 times 0.1?\nAnswer: 924.6829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702 + 540 = 57*w + 81*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234905\/231 + (-6)\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23180 divided by -5?\nAnswer: -4636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 5:14 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(80\/36)*378\/(-84)*(-20)\/(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2. Let t(g) = -89*g**2 - 1. What is x(t(f))?\nAnswer: -23763*f**4 - 534*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*n + 3*k, k + 24 = 4*n - 36. Let l be -3*3\/((-27)\/n). Suppose -l*v - a = -114, -2*v + a + 18 = -v. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-1)\/4*20. Let m be 3 + 0 - (2 - x). What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6127 = 7*w - 2*w, 4*t - 4*w = 24484. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6362 divided by -1.\nAnswer: -6362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:11 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46528, -46566, -46630, -46720, -46836, -46978?\n\"Answer: -13*k**2 + k - 46516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69447 - 69445. Factor 5\/4 + 1\/8*i**3 - 1\/8*i - 5\/4*i**k.\nAnswer: (i - 10)*(i - 1)*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 * 4\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44976?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2010.86 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*l + 114 - 38. Is 73 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -1, -2\/11, 4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**7*l**(-3\/16) assuming l is positive.\nAnswer: l**(-99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 1362*y + 154587 = 0.\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/2 - 5933*b**4 + 166335*b**3\/2 + 89100*b**2 = 0.\nAnswer: -11880, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -24504\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = -3104 + 1537 + 838 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(94\/846).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3299*j**3 + 5*j**2 + 10*j + 5. Let x(z) = 120414*z**3 - 183*z**2 - 366*z - 183. Determine 183*b(c) + 5*x(c).\nAnswer: -1647*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - -10)) + 1437 + -1429?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*j = -6*x + 4, -x = j. Let d be (2\/3)\/(x\/18). Does 16 divide -1*d*(-52)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-7)\/(-5)*(7 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from {e: 9, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g**(3\/2)\/g*((g**(-2)*g)\/g)\/g*g**3\/g)\/((g*g**(-1\/3)\/g)**39*g**(-3\/5)\/(g\/g**(-1\/3))) assuming g is positive.\nAnswer: g**(613\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -521020*0.123\nAnswer: -64085.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 5*r**7\/42 + r**6\/6 - 11*r**5\/2 - 50*r**4\/3 - 154*r + 1. Factor u(s).\nAnswer: 5*s**2*(s - 5)*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/1)\/(-17)*28\/(-6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -4450\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let m(l) = -299083122*l. Give w(m(c)).\nAnswer: -299083122*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000246163001 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) -1\/7 (c) -20 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/632 and 101\/104.\nAnswer: 8216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 514994020 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -719 times 38?\nAnswer: -27322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -102*m**3 + 9*m**2 - 10*m + 3. Let n(j) = -103*j**3 + 10*j**2 - 14*j + 4. Determine 3*n(l) - 4*p(l).\nAnswer: 99*l**3 - 6*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/2 + 27*u**3\/2 - 195*u**2\/2 + 169*u\/2 = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62487 + 16?\nAnswer: 624a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 23. Let h be k(-18). Put -1, 2, 1, h in ascending order.\nAnswer: -1, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16 + 4 + 35*r + 3. Let l be c(-9). Let g = -5510\/17 - l. What is the second biggest value in -4, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79625 is divided by 39775.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/144 and -47\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -57588440 divided by 2366\nAnswer: -24340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r - 7. Suppose 78*a + 15017 - 21725 = 0. Calculate the remainder when a is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 30*z - 425 - 330 + 755.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 1, t: 3}. What is prob of picking 2 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 975 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95724c (base 13) to base 4\nAnswer: 31112202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/k*(k**8*k)\/k*k**(-2\/7)\/k**0*k**(-2)*k**5*k*k**(2\/11)*k**(-3\/8) assuming k is positive.\nAnswer: k**(6635\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 - 11*c - 12. Give y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011248421 rounded to five dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 7*h - 3. Determine j(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11053*w**3*y**3 + 1803*y**3 wrt w?\nAnswer: 33159*w**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330873702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**2 - 3*o**5 + (-o + 2 - 2)*(2 + o**2 + o - o)*(13275 + 233*o**2 - 13275).\nAnswer: -236*o**5 - 466*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 97*z**2 - 81 - 98*z**2 - 25*z + 17*z - 28*z. Let r be u(-28). Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 29 = -3*z + 55, 3*z + 2*i = 87. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t**2 - 1558*t - 1559. Calculate j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55, 86, 147, 244, 383?\n\"Answer: n**3 + 9*n**2 - 3*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/28)\/(38\/1085413) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 9*t + 8. What is a(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 + (-376)\/(-48). Let c be o + 9\/(-27)*-354. What is the greatest common divisor of 210 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742 (base 13) in base 16?\nAnswer: -4d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5067 and 57249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9 - 831\/27. Let v = -7 - a. Suppose -1 - 15 = -b - 2*n, 5*b = -n + 89. What is the smallest common multiple of v and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 6*a**2 + 0*a**2 - 2*a**2. Let f(t) = -2*t**2. Determine f(c(k)).\nAnswer: -200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8865 - -13219. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728793063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16*((-1274)\/(-78) + -15)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4 + 291*q**3 - 40*q**2.\nAnswer: 24*q + 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 248*f + 90. Let a(q) = -2*q - 3. Suppose 0 = 4*z - 1094 + 1098. Let s(y) = z*c(y) + 4*a(y). Find the first derivative of s(j) wrt j.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7 - v + 3*v - v + v**2 - 2*v**2. Let j = -109 + 101. Let r(k) = -3*k**2 + 3*k + 20. Let g(h) = j*p(h) + 3*r(h). What is g(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - f - 6*f**2 + 9 - 3*f**3 + 2*f + 45*f**4 + 72*f**2 - 61*f**2 to the form o + z*f + l*f**4 + y*f**2 + m*f**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 37 = 4*v, v + 2*v - 9 = 0. Suppose 517 = b*r + 107. Is 41 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + a813a16?\nAnswer: a813a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 1. Let x be i(1). Let y be ((-2)\/(-4)*x)\/1. Suppose 4*m - 64 = -y*m. Calculate the remainder when 47 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -208. Let i(n) be the first derivative of -1\/2*n**2 + 2 + 0*n + 1\/3*n**q + 1\/4*n**4. Let r(y) = -6*y**3 - 6*y**2 + 5*y. What is -5*i(z) - r(z)?\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3. Do -2 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**3 + o**2 - o. Let w be l(1). Let q = w + 5. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-4) + (-36)\/(-16) - -1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 1240 = 89*t + 72*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 3*k**2. Let i(n) = -4*n**3 - 16*n**2. Suppose 35*h = 34*h + 16. Determine h*a(z) - 3*i(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -2401 = -2398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13145333?\nAnswer: 31, 67, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((4 - 2) + -5). Suppose -3*y = 4*t + 39 - 134, 0 = -w*t - y + 65. Solve 4*s - t = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1 - 280?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2229908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*((i\/(i\/(i\/(i*i\/(i*i**0*i)*i*i))))\/i)\/i)\/i)\/i*i)\/i*i)**(-7)*(i\/i**(2\/9))**28)\/((i*i**13)\/i*i\/i**10)**(7\/5) assuming i is positive.\nAnswer: i**(1673\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = 11. Suppose -j = -0*j - r. Solve l = -j*z + 40 - 16, -4*l + 4*z = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736 divided by -56?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/68 - 6\/17. Let c(t) be the third derivative of 1\/20*t**6 - p*t**4 + 0 + 3*t**2 + 2\/3*t**3 - 1\/105*t**7 - 1\/30*t**5 + 0*t. Find h such that c(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (29 - (-48205)\/(-186))\/((-54)\/(-4))?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.243 times -2046\nAnswer: -497.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1970*t**3 + 45*t**2 - 45*t + 45. Let m(d) = 179*d**3 - 4*d**2 + 4*d - 4. Calculate 4*b(u) + 45*m(u).\nAnswer: 175*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3 - 3)*(-73 + 73 - 20*t) - t**2 + 0 + 0 to g + d*t + r*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-1 + 0 + 24). Let d = u - -38. Let x = 0 + d. What is the remainder when 31 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8102?\nAnswer: 2, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 3*-2) + -2. Let r(d) = 0*d + 11*d + 4*d + 5*d. Let k be r(n). Calculate the highest common divisor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u + 16 = -54*u. Suppose -4*f + 7 = -1. What is the third derivative of -u + 2*p**2 - f + 3*p**5 + 6 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 22 = -4*s + 2, 5*a + 2*s = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 30 + 84 = 0. Suppose 84 = 6*t - r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/195*((-1)\/(-4) + 78\/(-72)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*o + 9 = -o, 4*m + 2*o - 14 = 0. Factor -4*b**4 + b**4 - b**2 + 2*b**4 + 2*b**m.\nAnswer: -b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2311415 divided by -565.\nAnswer: 4091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52887.943 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -1\/2, -2, -2896 in descending order.\nAnswer: -1\/2, -2, -109, -2896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 20. Let l(f) = -2*f - f - f**2 + 4*f + 3 + x*f**2. What is l(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3187*t**3 + 9*t**2 - 19396.\nAnswer: -9561*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42844, -170848, -384190, -682876, -1066912, -1536304, -2091058, -2731180?\nAnswer: -3456676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteteeetette. What is prob of sequence ttte?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -9, 2*u = -0*u - 4*k + 22. Suppose -5*q - 3*i + 50 = i, -u*i - 30 = -3*q. Is 1624\/30 + q\/(-75) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 41*f**2 + 12*f**2)*(5*f + f + 3*f)*(2*f + f - 4*f).\nAnswer: 225*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 - 21*o + 13. List the prime factors of b(-10).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135270349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1588.4 - 1842. Let n = 254 + z. Let d = 1.2 - 6.2. What is the nearest to 1\/4 in d, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 8*r + 3. Let v be p(8). Suppose v = -3*g, s + g + 16 = 4*s. Suppose s*f - 5 = 4*f. Let a(t) = t**3 - 5*t**2 + t + 1. Determine a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + p**3 - 5*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 44, 29, -4, -12, -3 in descending order.\nAnswer: 44, 29, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 1046*m**3 - 8 - 166*m**3 + 7 in the form r + t*m + a*m**3 + d*m**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 4, -3.\nAnswer: -3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 13*k - 4*k - 5*k - 5*k. Let w(z) = -2*z**2 - 14. Give w(b(i)).\nAnswer: -2*i**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -2435*c**4\/6 + 1453*c**3\/6 + 7030*c**2. Differentiate j(h) with respect to h.\nAnswer: -9740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1950)\/60)\/65*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*h - 2937, 4*g - h = g + 8844. Suppose 3*z = -5*u + 2*u + g, 3*z = -u + 2945. Let j = 1682 - z. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/121 + 5275\/1089. What is the common denominator of -59\/8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82003319.\nAnswer: 463, 177113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*c - 56 = -988*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -2 + (17 - (3 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.9. Let u be (13\/(-26))\/(4\/3). Put u, -4, w in decreasing order.\nAnswer: w, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428 = 203*d - 417*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 269.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 152*f**7\/7 + 289*f**4\/12 - 793*f. What is the third derivative of d(j) wrt j?\nAnswer: 54720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33290 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from avoavkik.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(2\/113) assuming z is positive.\nAnswer: z**(-4\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.101 + 0.001. Let i be (2\/14)\/(2\/(-1236)). Let s = i - -88. Which is the third smallest value? (a) l (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12)*-4)\/(264\/18).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3594.27714 + -848.76815. Let c = -4404.045 - z. Let g = c - 39. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 5*z + 5. Suppose -4*l + 4*r + 112 = 0, 4*l = -5*r + 70 + 24. Suppose 8*h = 30 + l. Calculate the remainder when v(-4) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p. Let b(d) = 7358 - 4*d**2 - 7358. Give k(b(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 109, 15, 108, -1, -5 in descending order.\nAnswer: 109, 108, 15, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70384738 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29365 - -66338. Does 135 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 10) to base 13\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3*j = -111, 5*d - 49 = 4*j + 37. Let u = 465 + -681. Let w = u - -414. Calculate the greatest common divisor of w and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23506 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1017*k**3 - 2*k**2 - k - 14. Does 18 divide o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -415 + 606. Is y 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 1773298863?\nAnswer: 3, 7, 3709, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.5 (b) -0.2 (c) -13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 6*x + 529. Let c be x\/(-5) + (-11)\/55. Let q = -24 + c. Which is greater: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14430746 is divided by 5325.\nAnswer: 5321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 38241\/52 and 734 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 146*d. Let h(r) = r. Calculate j(h(p)).\nAnswer: 146*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 3*p + 2*p + 5*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*r + (-5 + 1 + 3)*(7*r + 5*r + 0*r) + (3 - 3 + 2)*(-6*r + 3*r + r) to the form y + m*r and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6109 + 6088.854. Let x = -3047.754 + 3048. Let w = x + c. What is w rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + 1 + 3 - 2 - 1 + 3 - 4 + (-1 + 0 + 3)*(3 - 4 + 0))*(2*q + 0*q - 4*q + (2 + 0 - 3)*(-8*q + 12*q + 12*q)).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58512 is divided by 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*f - 239*f - 53 = -193 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let p(k) = 2*k**2 - 48*k + 5. Let h be p(0). Sort -1, h, 0, f.\nAnswer: -1, 0, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/31 in -24\/5, 1, 5, -1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/442 and 21\/15938?\nAnswer: 270946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25759\/10 + 2568. Find the common denominator of z and -101\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2. Let l be j(9). Solve l = -2*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421113259 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19975000 to the nearest 100000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose m = 3*h - 6, 0*m = f*h + 2*m - 6. Solve 0 = -h*p - 4 - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -31, -11, 7, 2.\nAnswer: -31, -11, -0.5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 9*x. Let m be 21\/(1 - 4) + (-6)\/3. Let g be i(m). Suppose -13*o + 4*o + 432 = g. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 11 = 4*w - g, -2*g + 22 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Let k = -11 + 15. What is the second smallest value in k, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5280)\/7425 - (0 + (-1)\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20976064 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 42\/(-28))*186. Solve 0 = -20*d - v + 173 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 509529 and 1.8.\nAnswer: 509530.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:59 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4957798, 19831150, 44620070, 79324558, 123944614, 178480238, 242931430?\n\"Answer: 4957784*y**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -1110, -1109, -1108, -1107, -1106?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7017\/4 - -1737. What is the common denominator of (244\/6)\/(-1 + 3) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from onfdywyf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365.06 + 361. Let q = -0.06 - g. What is the third smallest value in 0, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - 3*s - 11. Let c be j(-2). Factor 14*q**3 + c*q**3 + 25*q**2 - 32*q**3.\nAnswer: 5*q**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*m + 671*m + 2*y - 42 = 0, 0 = -2*m + 5*y - 47 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 35, 79, 139, 215, 307, 415?\n\"Answer: 8*h**2 + 4*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/6 + 18*h. Let g(c) = c. Let p(y) = 2*g(y) - 3*m(y). Let u(w) = -29*w. Calculate p(u(x)).\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2. Let b(a) be the first derivative of 0*a + 0*a**2 + 16\/3*a**3 - 5. Calculate k(b(n)).\nAnswer: 768*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*f - 18409 = 54*f - 781*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.0148 - 0.1802. Let w = -4.1 - a. Let r = -0.038 + w. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**3 - 92*t + 5*t**4 - 40*t**4 - 54*t**2 + 34*t**4 - 56.\nAnswer: -(t + 2)**3*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1045, -4451, -10071, -17905, -27953, -40215?\nAnswer: -54691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1815*a - 1789. What is q(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 23. Suppose -4*x - 3*i = -0*i - 43, 4*x - z*i = 35. Suppose -x = 5*b, -8*c + 4*c - 4*b = -8. Calculate the highest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3 and -59\/1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1019475*g**3 + 6*g - 7518711 wrt g?\nAnswer: 3058425*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4765, -0.4, -2\/7, 5, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10634 + -10089. Are 5982\/11 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 690 - 706 - (-1 + -19) - (-2 + 55 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.345 + 161.345. Let w = 160 - x. Put 1\/5, 0, 0.08, w in descending order.\nAnswer: 1\/5, 0.08, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {b: 2, u: 17}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 24*h + 49. Let i be o(22). Let d(p) = 157 + 2*p + p**3 - 155 - 2*p**3 - i*p. What is d(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 747752 (base 9) to base 11\nAnswer: 284622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**2 + 36*a - 12. Let n(s) = -245*s**2 - 462*s + 154. Let v(o) = -77*i(o) - 6*n(o). Let y(l) = 2*l + 226. What is y(v(w))?\nAnswer: 14*w**2 + 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -26*m - 17. Let n = 43 - 48. Is a(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuuuuwuuuuuuwwuw. Give prob of picking 3 u.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 269376105 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9029*p**3 + p**2 - 41*p - 42. Is d(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 39*t - 34*t - 1406, 7*t + 14 = 0. Calculate the lowest common multiple of 708 and l.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-8)*(m**(2\/9)*m)**(-50) assuming m is positive.\nAnswer: m**(-622\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201020102 + 0?\nAnswer: -201020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w = 16. Let c = w - -23. Let o(p) = 2372*p + 66424. Calculate the remainder when c is divided by o(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 = 5*k + p + 3*p, -3*k = 3*p - 414. Suppose 481 = 6*d + k. Let m = -170 - -228. Is d less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (339\/(-120))\/(-1). Let u be (1 - 12\/10)\/(-1). Let c = s - u. Sort 1, c, -1 in descending order.\nAnswer: 1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15957740 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356681.\nAnswer: 13, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, -31, 18, 5, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0752 - -77.0968. Let g = -10.448 - o. Let f = g - -89. What is f rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 541*t - 6. Let q(x) = -9198*x + 105. What is -35*a(k) - 2*q(k)?\nAnswer: -539*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1616*l - 191. Let g(y) = -1621*y - 192. Let m(a) = -5*f(a) + 6*g(a). Find the first derivative of m(c) wrt c.\nAnswer: -1646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 2. Let f = -0.118 + 0.199. Let h = -0.019 - f. Sort j, h, 3 in increasing order.\nAnswer: h, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225927436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.30376 - -0.23624. What is h rounded to one decimal place?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 2*q**2 + 3*q - 4*q - q**4 + (q + 0*q + q)*(q + 2*q**3 - q).\nAnswer: 3*q**4 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0*a**2 + 2*a - 11\/6*a**3 + 0. Is h(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26356877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*k - 17 + 17.\nAnswer: -159*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iggi when four letters picked without replacement from iggiiiiigiii?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10940392 is divided by 144.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-20))\/(-2 + (-211)\/(-104)). Suppose 2*j = 32 - m. Is j smaller than 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/112*6\/(-8)*8\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0*u**3 - 1\/14*u**7 + 1\/2*u**5 + 0*u**6 + 0*u**2 - 15\/4*u**4 + 3*u + 0. What is the third derivative of z(m) wrt m?\nAnswer: -180*m**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by -3.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 9\/4 (b) 1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/36)\/(8*(-5)\/30))\/((-4)\/(-1296)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1 - (21 + (0 - 34))) + 48.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1343663884 - -0.2.\nAnswer: -1343663883.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 3*f = -9*h + 28, 0 = 3*h + 4*f + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1851 - -13.3.\nAnswer: 15.4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {k: 1, f: 1, n: 1, v: 2, e: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437330 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2246667 + 2*s**3 - 2246667.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117808 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 1:47 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 2467154 and 2467154 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1468, -1458, -1346, -1054, -504, 382, 1682, 3474?\n\"Answer: 13*d**3 - 27*d**2 - 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14\/25 (b) -0.3 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 + 153*p + 13. Let d be y(-17). Solve -2*v = -5*s + 2*v - d, -s = v - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-15)\/y)**(-5\/8) assuming y is positive.\nAnswer: y**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 22*y - 23. Give u(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 121*g**3 - g**2 + 2*g - 1. Let d be n(1). Let w = d + 90. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31882 times -0.026?\nAnswer: 828.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 105351?\nAnswer: 737457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -2\/9, 64477, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -0.8, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 5*g - 61. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 15 + (1 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 115 + 302 - 27)*(u + 3*u - 5*u) to the form c + p*u and give p.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, q: 1, e: 1, c: 3}. Give prob of sequence mq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m - 80. Let j be s(7). What is the greatest common factor of j and 7648?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.52524 and -194999?\nAnswer: 194999.52524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttaivtttttaqgatqtt. Give prob of picking 2 t.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/((-120)\/(-108)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 times -17?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24855605, 49711213, 74566819, 99422423, 124278025, 149133625, 173989223?\nAnswer: 198844819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k*k*k*k*k**(2\/17)*k)\/(k**1)**(2\/13)*((k*k*(k\/k**10*k)\/k*k*k)\/(k*k**(-3\/8)))**(-19\/6) assuming k is positive.\nAnswer: k**(91145\/3536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2496)*2 + sqrt(2496)))\/((sqrt(36) + 3*(sqrt(36) - sqrt(36)*-1))\/sqrt(12)).\nAnswer: -24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(0 + 0 + 2*x**2 + (-6*x**2 + x**2 + 2*x**2)*(-11 - 5 - 1) - 2*x**2 + 0*x + 0*x).\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.828 + -0.172. Which is the closest to -3? (a) -1\/37 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -14. Let g(s) = -s + 12. Let t be g(9). Suppose -u*j = -t*j - 504. What is j rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6 and -139\/3412026.\nAnswer: 3412026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 93 = -365. Suppose -5*w - f + 6*f - 15 = 0, w - h = -3*f. Solve x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/7)\/t**3*(t**(1\/4))**(26\/5))\/((t\/(t**1*t)*t\/((t\/t**(-2\/5))\/t))\/((t*t\/(t*t*t**8))\/t**4)) assuming t is positive.\nAnswer: t**(-851\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 2. Let l(h) = 2*h**2. Give m(l(i)).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3756, 3724, 3686, 3636, 3568?\nAnswer: 3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*p = -104, -3*i + p - 2*p - 86 = 0. Let q = i - -48. Let j(h) = -h**2 - 11*h. Let v be j(-6). Calculate the highest common divisor of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8618? (a) -3 (b) 3 (c) -0.0096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, 0.1, 1\/44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-408)\/68*((-3)\/(-3) + (-87)\/6). What is the greatest common factor of 5184 and l?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + g)*(-103 - 181 + 20).\nAnswer: -528*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/10 and -50\/89?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 70875315.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69.9 + -75. Let j = -5 - a. Which is greater: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27736.235 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:22 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-6)*24\/(-4). Let h(x) = -2*x + x + 21 - t. Let c(m) = 14*m. Calculate c(h(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*w = -5749*w + 18940 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/45 + 5\/(-25)*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*r + 10 = -6, -3*d = 3*r + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -51*q + 210. What is the highest common factor of q and 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**4 - 14 - 6 - b**4 + 8 - 2*b**3 in the form r*b**4 + q + g*b**2 + f*b + m*b**3 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51819, 49780, 47741?\n\"Answer: -2039*y + 53858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-960)*-16)\/((-112)\/(-10))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197458 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96 less than 0.02404?\nAnswer: -0.93596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*i + 13*i - 360 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -27259.229 to the nearest 10.\nAnswer: -27260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11 + 23 = 0. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 2*u + 66. Let w be t(-7). Let j(s) = 33*s**2 - 6*s - 1. What are the prime factors of j(w)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -24. Let x = q - -113. Which is the biggest value? (a) x (b) -0.8 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(76) - -3*sqrt(76)*-2)*-6*-4 + 3)*2)**2.\nAnswer: -207360*sqrt(19) + 157594896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3\/7 - 13924*g**2\/7 + 97240*g\/7 + 111168\/7 = 0.\nAnswer: -1, 8, 3474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 15*a**2 + 19*a - 24. What is the common denominator of -40\/4613 and h(16)?\nAnswer: 4613","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4386 divided by -258.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4266.9846 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1509 - -2405. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*c + 10, c - 3*l = -7*l - 17. Suppose -5*t + 15 = c*p, -4*t - p + 4 = 3*p. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 32. What is the nearest to -0.1 in 1\/2, m, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/517570 and 58\/35405.\nAnswer: 50204290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-68) - (-128)\/68. Factor -h**4 - 20*h**b - 1 + 13*h**2 + 9*h**2.\nAnswer: -(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 8437116?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -445405 + -2?\nAnswer: -445407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, 3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 978641482 divided by -34\nAnswer: -28783573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7) + 14 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j = -51*j - 8148. Is 59 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {x: 2, m: 1, o: 1, t: 1, d: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 2*h + 3*h + (0 - 4 + 1)*(-2*h - 3*h + 4*h) - 6722*h - 1 + 19624*h + 1 + 16364*h to the form o*h + f and give o.\nAnswer: 29270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 6. Let l = -7 + z. Is l + 205 + -2 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1240)\/40)\/310)\/(18\/(-15))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/9)\/(-11))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2 + 1435322330*r - 103007509549831445 = 0.\nAnswer: 143532233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -521*j - 14529. Calculate y(-24).\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345.9 - 372. Let w = -25 - k. Let o = w + -1.5. What is the second smallest value in -5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let f(l) = -11*l - 17. Let p(b) = -f(b) + 2*y(b). Let w = -6 - -11. Is p(w) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 + 37*c**4 + 153*c**3 + 263*c**2 + 180*c + 36 = 0 for c.\nAnswer: -6, -3, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -442 and -1.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29192200 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**4\/4 + 6. Find g such that x(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49997795 - -49997802.0000003. Let a = 6.83 - -0.17. Let d = a - m. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 37*i - 3*i**2 - 24*i + 19*i - 1 - 2 + 5 to the form c*i + x + a*i**3 + b*i**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 - 2159\/10. Find the common denominator of 93\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/((14\/6)\/7). Suppose 4*v - 6*v = 0, x - 9 = -j*v. Find the third derivative of 17*p**2 - 13*p**4 + 12*p**2 - 11*p**4 - x*p**2 wrt p.\nAnswer: -576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6408)\/(-45))\/(1837\/10230 - (-1)\/(-6)) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 10996.\nAnswer: 7\/10996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 22*c = 5*c + 360 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*z + 9, -5*o - 963 + 962 = -z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8*d - 3*d**3 - 1 + 2*d**3 + 3*d**3 to the form v*d**2 + g + l*d + o*d**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/((sqrt(84) - sqrt(84)*2)\/sqrt(12)) - (0 + (sqrt(12))**2)*-5) + -3.\nAnswer: -sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*o**2 + 13*o - 13*o)*(3 - 5 + 0) - o**2 - o**2 + o**2 + (0 + 3 - 1)*(-5*o**2 + o**2 + 2*o**2) as w*o**2 + s*o + c and give w.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 15) to base 6\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 8*m + 3. Let d be b(8). Suppose 4*y = d*y + 2. Factor r + y*r**2 + 3*r**3 + 4*r**2 - 5*r - 5*r**3.\nAnswer: -2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7. Let i be d(0). Suppose -i*j = j - 16. Suppose 4*a - a = -15. Put a, j, 1 in decreasing order.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 3263, -2\/13, -2 in decreasing order.\nAnswer: 3263, 3, -2\/13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2. Let g(d) be the second derivative of -d**4\/4 + 9*d**2\/2 + 17*d. What is g(n(t))?\nAnswer: -12*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1993*f + 1486. What are the prime factors of z(1)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/42 + 2\/(-3))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(-8)\/2)\/2. Let l(d) = -3*d - 81. Let m be l(-27). Solve 2*c - 3*y + 23 = m, 0*y - p*y - 10 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 6. Suppose 40 = -j*g + 7*g. Suppose -2*w - h = 2*w - g, 0 = 2*h. Solve 2 = -w*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/12 + 11*r**3\/3 - 21*r**2\/2 - 41*r + 120. Let q(h) be the first derivative of t(h). Let q(u) = 0. Calculate u.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 5. Let c be d(-4). Suppose 2*h - 4 = -0. Suppose -f + c = 0, -h*f + 13 + 1 = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(190)\/(2*sqrt(320) + sqrt(320) + sqrt(320)))\/(sqrt(24)\/(-2*sqrt(12)*-4)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551251 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 + -3 - 0. Suppose 6 = -60*n + 57*n. Let g be t - (n\/(-2) + -211). What is the greatest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*d - 4*d**2 + 0 - 2*d**4 + 1\/3*d**5 + 13\/3*d**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 4298575.\nAnswer: -12895725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/8))**(-34)*(i**(-2)\/i)**(-12) assuming i is positive.\nAnswer: i**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1606 + -2323505?\nAnswer: -2321566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*d + 53*d = 1606*d - 28226 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2695 - 2696. Sort -4, x, 4, -26, -6.\nAnswer: -26, -6, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235780 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274944?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + k = -275, -6*i - k = -2*i - 229. Suppose -10*x - 14 = -12*x. Calculate the highest common factor of x and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492670?\nAnswer: 2, 5, 233, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 4 + 7*s - 5*s**2 - 3*s. Let i(w) be the first derivative of -7*w**3\/3 + 9*w**2\/2 - 9*w + 1. Let u(h) = -2*i(h) + 5*y(h). Determine u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 5*x**2 + 6*x + 7. Let h be n(5). Let d be (-6)\/4*976\/(-3 + 11). Let g = h - d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuuwuuuuuu. What is prob of picking 2 u and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30071, -60109, -90125, -120119, -150091?\n\"Answer: 11*t**2 - 30071*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*1\/6. Let i = n + -7\/44. Let a = i - 14\/33. Which is smaller: a or 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 15*x + 33. Let u be r(-4). Solve 5*g = -2*h - 35, 5*g + 29 = -5*h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10022?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.8 - -50.7. What is the nearest to z in -1\/2, -1\/7, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from wacaaaakoooaak?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 4932?\nAnswer: 113436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, 1\/3, -368?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 1 - 1 - 3 - 1. Let r be a(4). Let t(i) = 9*i**2 + i + 2. Let v be t(r). Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -5.3 (c) -0.3 (d) 0.09 (e) -46 (f) -4 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let n(a) = -a**2 - a + 6. Let o be n(-3). Suppose o = -5*x - 0 - 10. Sort x, z, 5 in decreasing order.\nAnswer: 5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5083.\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 + h**2\/2 + 3*h. Let u(t) = -5*t - 7. Let y(j) = 6*r(j) + u(j). Determine y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -1. Let g = 4.77 - -51.03. Let w = -56 + g. Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/w*w*w*w\/(w*w\/(w\/(w**(-22)*w))) assuming w is positive.\nAnswer: w**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/289 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -9*n - 43 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 8*d - 46. What is the remainder when 138 is divided by p(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34023.\nAnswer: 3, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, k: 4, a: 7}. What is prob of picking 1 k and 1 a?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (23\/(-207))\/(1\/(-6792)) - 2\/(-6). Calculate the greatest common divisor of 453 and h.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 - 187*j + 614. Calculate f(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.4 + 15. Let l = 4.94 + 0.06. Sort l, y, -5.\nAnswer: -5, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47494 divided by -5?\nAnswer: -47494\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((17 - 9 - 25 - -38) + 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 8. Suppose 23 = 4*j - f, 2*j + 0*f - 13 = f. Suppose -j*s - 227 = -u*t, -2*t + s = t - 334. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0, -23, 1 in ascending order.\nAnswer: -23, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8.228 (b) -3 (c) -0.5 (d) 0.141 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 + -9)\/(-2))\/((-3)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:20 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 11 = 3*j - 5*v, 3*v = 4*j - 19. Solve -j*o - 8 = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-64)\/(-20))\/((-27)\/(-25) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -81*f + 209. Let o be b(-16). Let s = o - 792. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 6*z**3 + 0*z**3)*(-3 + 3 - 2*z) + 1046*z**4 + z**3 - 2226*z**4 - 2*z + 980*z**4.\nAnswer: -202*z**4 + z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g + w + 4, g = 3*w + 3. Suppose -g*b + 2*b = 0. Let j be (1 - 2 - -3) + b. Is j < 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12*g - 24 = 10*g, 2*x + g = 10. Calculate the least common multiple of 104 and x.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 5. Let v be h(-7). Factor -4*m + 6*m**2 - 3*m**v - 2*m.\nAnswer: 3*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x. Suppose 12*z - 7 - 77 = 0. Suppose x = z*y - 23502 - 3847. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 453856?\nAnswer: 3176992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*v, 3*z = 2*v + 17. Let r = z - 4. Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -65, -0.4, 1, 3, -3.\nAnswer: -65, -3, -0.4, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 55*y**2 + 113*y + 95. Let j be u(57). Solve -2*v + j - 38 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 23*f**2 - 52*f + 31. What is o(25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) 12 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010 + 111110110111?\nAnswer: 1000000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, -110, -121, -148, -197, -274, -385?\n\"Answer: -i**3 + i**2 + 3*i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 337 (b) 1 (c) -36 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 - 0.41. Let w = x - 4.32. Let t = 31.8 + -32. What is the nearest to w in -4, t, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1798 = -18*c + 2576. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 - 1. Let u be l(1). Solve f + 4 = u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 0\/(-2 - -3). Let k be w\/(-4) + 2 - -1. Let q(d) = 3*d + 7*d**2 - 6*d**3 - k*d - 3*d**2 - 2*d**2. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 41*d**2 + 479*d - 15172. Determine s(17).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14069769 is divided by 95066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3269, -3261, -3241, -3203, -3141, -3049, -2921, -2751?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*o + 20 = 0, 0 = -5*i - 2*o + 61 - 69 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-8))\/(2675\/54784*32).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 12 + 12. Let t(j) = -711*j - 11 + 356*j + 3 + 356*j. Let n be t(c). Solve -6 + n = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-7)\/(-112))\/(-35*(-54)\/189).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 13125.\nAnswer: 91875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjktqjjzskjzjjktk. What is prob of picking 1 j, 1 q, and 1 k?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*1\/2*(-431578)\/(-6011265)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 2*l + 1 + 6*l**2 + 4*l**2. Let y = 0 + 2. Suppose 1 = -3*p - y. What is j(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0 + 0 + 7 + 5 - 40*x. Is l(-3) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54252, 108896, 163546, 218202?\n\"Answer: 3*c**2 + 54635*c - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 divided by 7?\nAnswer: 211\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13608)\/(-196))\/(-81)*28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**2 - 109*j + 43. Determine k(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -63 + 0 - (26 - 24). Is -66 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862392, 3449567, 7761524, 13798263?\nAnswer: 21559784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wyywyywyywyywy?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 4, g: 5}. Give prob of picking 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 5503?\nAnswer: -5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 12 - 191 = 629 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 + 28. Let q = -153.5 + f. Which is the second smallest value? (a) -1 (b) -5 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-12))\/(6\/24). Put 2\/7, d, -1\/24, 1\/3 in decreasing order.\nAnswer: d, 1\/3, 2\/7, -1\/24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 6*o - 4. Let s(p) = p**2 - 2*p. Let w(m) = -2*b(m) - 6*s(m). Let f(q) = 3*q**2. Determine f(w(c)).\nAnswer: 12*c**4 + 96*c**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 5\/(5\/3). Let g be (-4 + 5 - c)\/2. Solve -g = l + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -13340124?\nAnswer: -13340121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i - 738 = 27 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13599*h + 607065 = -657642 for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.55149\nAnswer: 6.06639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 7344*o + 6741792.\nAnswer: 2*(o - 1836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -122*m + 91*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*l - 61*l + 35*l)*((-1 + 0 + 2)*(1 + 3 - 5) - 3 + 4 - 3 + 3 - 4 + 0)*(-3*l**2 - l**2 + 2*l**2).\nAnswer: -832*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7821 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**2 + 4*h**2 + (h - h - 2*h)*(4 - 4 + 2*h) + 792*h**2 - 38077 + 38077.\nAnswer: 790*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = -0. Suppose 0 = -b + 3*n + 2*n - 3, -3 = b + 4*n. Suppose 0*k + 4*k + 20 = 0. Sort k, b, l.\nAnswer: k, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, e: 3, l: 5}. Give prob of sequence ffl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = 4*f + 34, 5*f + 8 = 2*h. Let x = 1 + h. What is the tens digit of (-2 - 5\/x) + 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23011 from -1.\nAnswer: 23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 14*z**2 + 4. Let b be x(14). List the prime factors of 37\/(b - (-2 - -5)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 0*n - 3497. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2434 - 2445 - 41*c**5 + 42*c**5 - c**4 + (0*c**4 + c**4 + c**4)*(4*c + 0*c + 0*c).\nAnswer: 9*c**5 - c**4 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136744 less than or equal to 4136742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1436, -8126, -19286, -34922, -55040, -79646, -108746?\n\"Answer: -i**3 - 2229*i**2 + 4*i + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and -0.0664606 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/a**8)\/a)\/a)**(-12) assuming a is positive.\nAnswer: a**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Let g(f) = -2*f - 2. Let h be g(-2). Let j = v - h. What is the highest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790522?\nAnswer: 2, 3, 7, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.96 + -0.66. Let f = n + -8. Let o = 12578\/275 - 504\/11. Which is the third biggest value? (a) o (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3643 - 3575. Solve 0 = j - 18*j - i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8552599 is divided by 2980.\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 30. Calculate the smallest common multiple of 12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9648*x + 14733*x - 2 - 1940*x.\nAnswer: 22441*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 4*l - l**5 + (-2*l - l**4 + 2*l)*(0*l - 2*l + 3*l) - 2*l**5 - l**5 + l**5 - 2*l**5 + 4*l**5 - 3*l**5 + (-2 - l + 2)*(2*l**4 - 5*l**3 + 5*l**3).\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 9.4, -11, -5, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 6) + -10 + 28?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose -i - z*i = -9. Suppose i + 3 = 3*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + 112\/21. Let v(o) = -14 + i*o + o - 60 + 104. Let f be v(-5). Solve -5*h + 4*h - 5 = f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-672)\/180)\/28*3\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 322676595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 26*s**2 - 36 + 8*s**2 + 6*s**2 + 21 to r*s + l + j*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 29. Let q be h(-6). Suppose -7*p = -q*p + 3480. Factor 3*w**2 - 870*w + p*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 11559*u\/2 + 5781.\nAnswer: -3*(u - 3854)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m + 41*m - 24*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 195, -4, -17.\nAnswer: -165, -17, -4, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 316953*q - 2271. Let x be m(7). Round x to the nearest ten thousand.\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1570482 in decreasing order.\nAnswer: -2, -3, -1570482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 10)*(-8 + 8 + 2*i).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a. Let x(m) = 2*m. Let w(o) = 3*h(o) - 7*x(o). Let q be w(2). Put -2, q, -4 in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d726 - -3?\nAnswer: -d723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 77.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 734112 divided by -18?\nAnswer: -40784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sic when three letters picked without replacement from {i: 2, c: 1, r: 1, k: 1, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 68*k**2 - 199*k + 249. Calculate d(-65).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 20*f + 229. Let q be o(-28). What is the third biggest value in q, 1, 3, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2757 + -5?\nAnswer: -2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -n + 112, -2*k - 5*n + 92 = -0*n. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*x = 4506*x + 4123*x - 572*x + 201960 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4 + 1 - 3 - 2*y + 1. Let q(v) = -4*v - 11. What is 9*o(r) - 4*q(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 129846221611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/30 + (-51)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328031 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*v - 16, -6*v = 2*h - v. Let u(n) = 8*n - 37. Let z be u(h). Solve -i - z*i - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (125\/5)\/5*((-60)\/(-12))\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-27) - 68\/18. Let j be 2\/d - (-56)\/144. Which is the third biggest value? (a) 2 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 537048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 339?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6495 is divided by 1217?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669625?\nAnswer: 5, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -882, -2085, -3970, -6657?\nAnswer: -10266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 15*l**4\/4 - l**3\/3 - 4. Determine q(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 195 = -4*v. Let k be ((-144)\/v)\/((-7)\/15). Let j = 1457\/1092 + k. Calculate the common denominator of -61\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/48 and -1 + (7 - 11) + (-1826)\/(-384).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -5 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661999694 to the power of 1\/2, to the nearest integer?\nAnswer: 25729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 19. Let j(m) = 2*m - 20. What is -6*j(w) + 7*r(w)?\nAnswer: 2*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21242 and -0.9?\nAnswer: 21242.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4565115 and 2290.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -9*a**7\/280 + a**6\/24 + a**5\/10 - 3*a**3 + 28. Let s(r) be the third derivative of l(r). Find n such that s(n) = 0.\nAnswer: -4\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 2*w + 6, 3*j = -5*w + 7. Let r be j\/(-10)*(6 + -11). Suppose -r*y + 0*y - 2*v = -12, y - 4 = v. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -24*r**2 + 2*r - 15. Let p(c) = -28*c**2 + 3*c - 16. Determine 2*p(i) - 3*t(i).\nAnswer: 16*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177394.\nAnswer: 2, 7, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 892736691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 - -53)\/(84\/8). Put -6, 0.02, -5, -2\/7, h in ascending order.\nAnswer: -6, -5, -2\/7, 0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374735*m**2 + 74*m - 18061*m**2 - 74*m.\nAnswer: 356674*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 + g**4\/24 - 19*g**3\/6 + 5*g**2. Let q be m(0). Let b = 30 + q. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 4*w + w, -15 = 3*w + 5*x. Let b(d) = w*d + 0*d - 2*d. Let c(a) = 5*a - 3*a - a. Calculate c(b(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6276c (base 13) to base 2\nAnswer: -101011001110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -324*g**3 - 702*g**2 - 507*g - 1430. Let u(h) = 0. What is h?\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 9) to base 4\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.815479 and 4.\nAnswer: 31.261916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15600041 to the power of 1\/2, to the nearest integer?\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(9\/(-135))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*x + 97*x - 386*x = 610*x + 129384 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 31*b**2 - 73*b - 3377. Determine p(-32).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 8) + 4 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.271547337 and -3.795.\nAnswer: -3.523452663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 - 2*z + 5. Let h be b(-4). Let x be 36\/(-16)*(-16)\/6. Let l be (156\/9)\/(2\/x). What is the highest common factor of l and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 365*i*k**2 + 4*i*o - 126630*k**2*o wrt i.\nAnswer: 365*k**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 62*m + 86*m - 110*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o. Let a be b(-2). Suppose -4*m + 4 + a = 4*z, -2*z - 7 = -m. Suppose 5*l - 9 = 6, -m*v - 3*l = -129. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/63 - ((-347)\/72 - -3) and -73\/21.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 32. Suppose l = 2*w - 0*w + 8*w. Suppose -6 = -5*n + g + 36, w = 4*g - 12. What is the least common multiple of 2 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009231199.\nAnswer: 43, 23470493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2067154010 to the nearest integer?\nAnswer: 45466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -74?\nAnswer: -41\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 19. Let u(x) = -x - 1. Let g(i) = -h(i) + 6*u(i). Let m be g(-6). Let n(q) = q - 11. Let t be n(7). Put 4, m, t in decreasing order.\nAnswer: 4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120*(-103)\/(-1648)*(-2)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6487146 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.3317578?\nAnswer: -1.6682422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168549*r + 4*s - 104 = 168546*r, -r - 13 = 3*r - s + 13 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -10*i - 7. Is 5 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15060 + 1?\nAnswer: 15061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:18 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187006.\nAnswer: 2, 93503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -62, 2\/3, -0.3, 4\/15, 238\/3?\nAnswer: 238\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p - 56. Let v be p\/(-8) - 7\/(-28). Suppose -3*u + 5*g + 20 = 0, 8*g + 10 = v*u + 3*g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**2 + 14851*n + 290607?\nAnswer: 10*n + 14851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -2*w. Let a be (-1 + 0)\/(-1)*3. Let v be (-1)\/((-3)\/(-3))*a. Which is greater: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 28900*c**3 + 41760500*c**2.\nAnswer: 5*c**2*(c + 2890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496 + 573. What is the highest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*t + k - 211, 0 = -4*t - 2*k + 298. Suppose -7*a + 82 = -t. Let m = a - 2. Solve r - 5*r = -m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425778471 a multiple of 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13090.0000006683 + 13090. What is a rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 - 55489*d**4 - 554954*d**3 - 1997910*d**2 - 2996919*d - 1498473 = 0. What is d?\nAnswer: -3, -1, 55499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7020 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 6, c: 7, f: 1, z: 3}. What is prob of picking 1 z and 2 c?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55731473.\nAnswer: 7, 283, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v - 1. Let n be p(2). What is the tens digit of 15\/10*(1 - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5346 = -3*h - 53*h. Solve h*j - 39 = 42 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 2. What is k(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36454135 divided by 7290827?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9343260 and 480?\nAnswer: 74746080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 566 + -218. Suppose 17*m = 21*m - d. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4275 - 0.345287147?\nAnswer: -4275.345287147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 7*u + 7*u)*(2 - 2 + 6) + u - 19 + 19.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyruu. Give prob of picking 2 u, 1 i, and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:11 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782372348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5205.1873 to the nearest integer.\nAnswer: -5205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224 (base 5) in base 14?\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 87\/4?\nAnswer: 87\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*n**2 - 3 + 154*n**2 + 119*n**2 + (2*n - 5*n + 2*n)*(n - 16 - 8 + 8).\nAnswer: 196*n**2 + 16*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from {z: 7, f: 1, v: 11}.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let d = 2 + -5. Let f be 4*1\/(3 - d). What is the nearest to -1 in 1, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*20\/15*(-86)\/(-8). Let k = 155 - h. Calculate the remainder when 125 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3\/789) - -2. Let p(o) = o**3 + 5*o**2 - 3*o - 11. Let m be p(-5). Suppose 0 = -b - m*b + n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + g**4 - 3*g**4 + (g - 2*g + 4*g)*(2 - 2*g - 2)*((0*g - g + 2*g)*(-4*g + 4*g - 2*g) - 4*g**2 - 2*g**2 + 4*g**2 - 5*g**2 - 177*g + 177*g).\nAnswer: 55*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/626 + 25985\/1252. Suppose 11 = 3*i + 44. What is the common denominator of m and 6\/32*(0 - i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3948 + 4207. Solve -15 = -256*l + h*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - k**2 + 5*k**3 - 1 - k**3 + 3*k**2. Let o be y(-1). Solve -6 = 2*r - o*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*q - 122*q + 241*q - 7)*(-3 + 3*q - 3*q - 2*q**4).\nAnswer: 2*q**5 + 14*q**4 + 3*q + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/17*13838\/15466\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-63) - (-175)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5840*p**3 - 11681*p**3 + 5840*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289023 is divided by 288615.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z - 3\/70*z**7 + 0 - 1\/6*z**3 + 0*z**4 - 7*z**2 + 0*z**5 + 0*z**6. What is the first derivative of r(y) wrt y?\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3562 is divided by 210.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -547, -1057, -1771, -2689, -3811, -5137?\nAnswer: -6667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -16 - 44. Let f be b\/(-21) + 22\/77. What is the smallest value in 4, f, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65.9 - -66. Let d = 431 - 432.245. Let n = -0.055 + d. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 428.6093 * -0.06.\nAnswer: -25.716558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 669489 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 5*z + 5. Let d be r(-3). Suppose d*m - 963711 = -m. Let c = -161079 + m. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z - 15. Let u be 33 - 0\/(-1 - z). Suppose -11 = 12*q - 13*q. What is the greatest common divisor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(-2\/105)*p**(-1)\/p*p\/p**4*p)\/(p**(1\/16)*p**9*p\/(p\/(p*p**(-8)\/p*p*p))*p*p*p*p*p**(2\/13)) assuming p is positive.\nAnswer: p**(-1223993\/109200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1006\/9 - 112. Suppose 0 = 5*r - 4*s - 26, 0 = r - 6*r + s + 14. Which is the nearest to 2\/5? (a) -4 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 18 - 60 + 5*l + 15 + 9 + 7.\nAnswer: 5*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 2e5?\nAnswer: -2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2 - 10 - b - 1 + 5. What is l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*46367\nAnswer: -2040148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 11. Suppose -5*l - 15 = 0, -2*g - 3*g + 3*l - 6 = 0. Let b = g + w. Calculate the remainder when 21 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 7 - 1 = 0. What is the closest to -0.1 in m, 2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150062, 150057, 150052, 150047, 150042?\nAnswer: 150037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 23. Let p be s(-3). Let d(t) be the third derivative of 0*t**3 + 0*t**p + 0*t + 0*t**4 + 1\/70*t**7 - 3*t**2 - 1\/40*t**6 + 0. Factor d(b).\nAnswer: 3*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.95 + 28. Let q = b - 0.45. What is the smallest value in q, 3, 2\/15, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:34 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g - 5. Let x be c(-3). Let u = x + 40. Solve 3*s = -u*k + 20, -k = -s - 3*k + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-15) + (-11)\/(-5). Suppose -r*f + 180 = -0*f. Calculate the remainder when f is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8085603*g**2 + 31*g + 26809 wrt g?\nAnswer: -16171206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 818 + -563. Suppose 2*n + 2*n - 388 = 3*f, -2*n = 4*f + 554. Let k = r + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(24\/(-2))*168\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*21\/98 + -17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 406226.583 milliseconds?\nAnswer: 0.0006716709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*f + 240 = -120*f. Solve -13*u + 81 - f = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + d + 11*d**2 - 5*d**2. Let n(b) = b**2 - b. Suppose g - 4*a = 5*g + 24, -5*g + 10 = -3*a. Let u(t) = g*s(t) + 4*n(t). Factor u(l).\nAnswer: -2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42376603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = -2*k - 67, 2*w + 173*k - 172*k = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:48 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (8 + -3 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14582143393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 9*q**2 - 1. Let p(h) = -3*h**3 - 15*h**2 + h + 2. Let x(t) = p(t) - 2*r(t). Calculate x(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -336 - -1193. List the prime factors of b.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735450201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13097 - 2*g + 13097 - 26194.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - l + 31 = 5*z, -4*l - 71 = -5*z. Let u = 5 + 0. Suppose b + u = z. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 20*g + 71. Determine f(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*p - 104 + 296 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r*r**(-2\/3))\/(r**(-2\/13)\/(r**(2\/11)\/r)) assuming r is positive.\nAnswer: r**(-427\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 1. Let o be a(1). Let d = 17 - 17. Suppose d*v + 28 = 4*v. Solve -3 = -o*z + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 21*u**2 - 6*u + 7. Give p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-27)*t**(-23) assuming t is positive.\nAnswer: t**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -49\/5. Let m = -41\/21 - -9\/7. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011312674447 to 7 decimal places.\nAnswer: -0.0011313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1864 - -3268. Suppose j = -13*s + 17*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152163 bigger than 152187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-124.990425\nAnswer: -12.4990425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 20*r**2 + 8*r + 12. Let a be n(-3). Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99265 + 156447. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26092343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 40?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (0 + -7))\/2. Let v = 34717 + -34701. Sort v, -5, 3, o in ascending order.\nAnswer: -5, 3, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (142 + -126)*1\/4. Which is the second smallest value? (a) -26 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649463*i + 649448*i = 135 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) 2\/7 (c) -658722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/700 and -121\/42347550.\nAnswer: 84695100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and 219472932.68.\nAnswer: 219472931.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/4 - 125861589*i\/2 + 5280379861868307\/4 = 0. Calculate i.\nAnswer: 41953863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from ynhhhhyn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/20 + k**4\/3 + 5*k**3\/6 + 2*k**2 - 4*k. What is the lowest common multiple of 12 and o(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10*0*2\/(-4). Suppose -3*n = 4*x - 56, b = 5*x - 0*n + 5*n - 75. Suppose 2212 = -x*l + 15*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(3\/29))\/w*w\/((w*w*w\/(w*w\/w**(-20)))\/w*w*w)*w*(w**3)**33 assuming w is positive.\nAnswer: w**(3483\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = v - i + 4, -4*i = -3*v + 12. Suppose -42 = -3*y + 2*m, -4*y + 2*y + 5*m + 39 = 0. Let a = y - v. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -6573*d**4\/4 - 2*d**3 - 3*d**2\/2 + 2*d + 1. Let o be m(6). What is o rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42870566 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n + 306. What is m(-59)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:19 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99688272 divided by 8307356.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 2, t: 2, g: 1, v: 1, z: 1}. Give prob of sequence hgz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k. Let i(d) = d**2 - 5*d. Let s(p) = -p. Let b(w) = -i(w) + 4*s(w). Let c(a) = -2*b(a) - g(a). What is the second derivative of c(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Solve -r = 2*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3392*c**2 - 336*c**2 - 47*c**6 - 14*c**3 + 2813*c**2 - 418*c**2 wrt c.\nAnswer: -5640*c**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47937 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 2*h = -30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-933)\/((-390927)\/3352)*2\/52*-1\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - u**2 - 3*u + 3. Let f = -9 + 13. Suppose -3*l + 17 = -4*k, f*k - 8 = 5*l - 31. List the prime factors of n(l).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*z - 12 = -2*k - 263*z, -4*z = -5*k - 39. Put -2, -3\/4, k, 4 in ascending order.\nAnswer: k, -2, -3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.2 - 49. Let m = 5 - d. Which is smaller: 1\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 1.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36048826*i + 17*i**2 - 36048826*i.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 16*j**4)*(2*j - 5*j + 2*j + (4*j - 4*j + 3*j)*(3 - 4 + 0)).\nAnswer: -64*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:15 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from oncnofcnncyynn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 0*i = -5*i - 10, 4*i = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14214918 to the nearest integer?\nAnswer: 3770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 35 - 53 = 0. Let d = w - 20. Suppose 3*g - g - n = -d, g + 4*n - 8 = 0. Solve -5*z = -g*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 5. Let c(z) = -12*z - 64. Determine -3*c(w) + 15*g(w).\nAnswer: 6*w + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**45\/(n**0\/n)**22 assuming n is positive.\nAnswer: n**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 160. Let w be 8\/a + (-17)\/(-4). Solve -w*c + 12 = -8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 16. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.34, -3\/2, 1\/5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22312 + 303144?\nAnswer: 230332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 13 = -r. Calculate the remainder when 26 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j**2 + 23*j**2 - 38*j**2.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -t, 2*t - 3 = -f + 9. Let b(k) = k**3 - 4*k**2 - 4*k - 7. Let v be b(t). Calculate the common denominator of (-45)\/(-6) + v\/(-8) and 29\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 2*s - 2. Calculate b(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36533754 + -21?\nAnswer: 36533733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.409 less than 1.13?\nAnswer: -0.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*i + 18968011 - 18967201 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30208 - 15106 - 4*g**2 - 15103 - 2*g**3 + 13*g + (4 - 4 + 3*g)*(3*g - 3*g - g**2).\nAnswer: -5*g**3 - 4*g**2 + 13*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5*p + 21. Let i = 26 - 6. What is the remainder when i is divided by c(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = 35. Let c be (-3)\/x + 20\/(-70). Is -1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -3112*(42\/(-12) - -1). Suppose 1899 - g = -27*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 * 11672\nAnswer: 875.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:26 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 86*z - 998. What is the remainder when 483 is divided by o(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = -3*t - 3*v, -2*t - 3*v = -11. Is (-6 - -4) + t + 33 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*m**2*z - 14*d**3*m*z**2 + d**3*z + 5*d**2*m**2 - 2*d*m**2*z - 12*m**2*z**2 wrt d?\nAnswer: 6*m**2*z - 84*m*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/6*3\/(-1). Suppose 3*b = 2*b + 11. Let r = b + u. Solve 3 + 2 = l - 3*q, -r*l + 5*q = -13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 - 12*p**2 + 1834*p + 12812. Give i(-7).\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92.25343 millilitres?\nAnswer: 0.09225343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 809. Give p(141).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 6*p**2 + 7*p + 12. Let g be k(-5). Suppose 15 = -6*n + 3*n. Sort 4, g, n, -1 in decreasing order.\nAnswer: 4, g, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - 16*y - 59. Give t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmimimmmmimm. What is prob of sequence miim?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -393*l + 395. Let s(i) = -i. What is s(g(y))?\nAnswer: 393*y - 395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8951.666 kilograms to tonnes.\nAnswer: 8.951666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = -3*y. What is the remainder when (50 - y)\/(-4 + 6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Let j = 9 - w. Solve o + 9 = -j*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - -1 - 2\/1. Let y(z) = z**2 + 8*z + 9. Let d be y(-6). Does 15 divide l*(d - 4\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 0*z**2 - 3*z**2 + (z - z - z)*(z + 0*z + 5 - 1) in the form t*z**2 + x*z + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r**(3\/2)*r)\/r)\/(r\/r**(-1\/18)))\/(r*r\/(r\/(r\/(r*r**(-1))*r)))**41 assuming r is positive.\nAnswer: r**(-1076\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-9)\/(-7))\/((-11)\/(-7)). What is the fourth smallest value in -4\/3, 4\/5, l, 18\/17?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Suppose 65 = o*c - 7. Suppose -5*l - 46 = -181. What is the highest common divisor of l and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -v + 5*v. Suppose -2 = 5*m - v. Suppose 5*h + 4*p + 9 = -m, 4*p = 2*h - 24. What is the highest common factor of h and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4257135928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(500) + 0)*4 - (1 + sqrt(720) + sqrt(720) + -1 + sqrt(720) + (-2*sqrt(720) + sqrt(720))*-1))*5)**2 + -2.\nAnswer: 7687998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/40)\/(1\/(3 - -1)). Is y less than 0.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.003 and -12.166.\nAnswer: -0.036498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s**2 + s + 1. Let o be 3*(-14)\/(-147) - (-36)\/(-28). Calculate k(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -135, -448, -1063, -2082, -3607?\nAnswer: -5740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {c: 1, o: 1, b: 2, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3857*h**2 - 42*h + 5. Let c be k(-2). What is the highest common factor of 1052 and c?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -944*y - 3769. Determine r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -28. Let q = k + -4. What is the biggest value in q, -2\/7, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 2*h**3 - 5*h**2 + 2 - 2*h. Let a be g(2). Let y = -581 - -637. What is the highest common divisor of y and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96202*v + 32087*v + 32082*v + 32064*v.\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + o**3 - 6*o**3 + (-o + 5*o + 3*o)*(o**2 + 9*o**2 - 3*o**2).\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 158*j + 882. Let v = 8 - 2. Calculate the lowest common multiple of a(-6) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6642, -13423, -20202, -26979, -33754, -40527?\nAnswer: -47298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -2 - (196 - 180).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34287127.\nAnswer: 7, 137, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1897 by 8.\nAnswer: 1897\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 309217 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12))**2*3.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/14)*n)\/n*n**(4\/7))**(2\/11)*((n\/(n**(-2\/7)*n))\/n)**39\/(n**(-2\/7))**7 assuming n is positive.\nAnswer: n**(-1956\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*n + 27, -2*n + 7 + 18 = -v. Suppose s - 30 = -n*s. Suppose 2 - 5 = -t. Solve s*m - t = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430 - 0?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11860 greater than or equal to 11857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5))**(-27) assuming a is positive.\nAnswer: a**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by -4882?\nAnswer: 64\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 6, 3*v - v = 4*j + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 - 274. What is the remainder when 12 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/((-4)\/(-96)*-3). Let h be u\/((18\/(-4))\/9). Let f = -111 - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11861 times 587?\nAnswer: -6962407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 132 = 3*l, -15 = -l - 5*i - 40. Let v = 35 + l. What is the nearest to -0.1 in -1\/4, v, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsttsst. What is prob of sequence tsss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10057 is divided by 1653.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -162*n**2. Let r(s) = 21*s**2. Calculate r(w(m)).\nAnswer: 551124*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 - 7*r + 4. Let n(u) = u**2 - 1. What is i(y) + 4*n(y)?\nAnswer: y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 665790 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/4, -1\/17, -0.05, -3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*m + 10*m + m to c + x*m and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. What is the second derivative of -1 - c*g + 3 - 2*g**5 - 2 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*b - 2*y + 10, -4*y = 8. Let x be 2\/(4\/(-2)) + 3. Suppose -x*w + 3*w - 71 = -4*s, -s - 4*w = -14. Calculate the highest common divisor of s and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 13) + -1 + -3 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14567983 divided by -4.\nAnswer: -14567983\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1367?\nAnswer: 5\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + n**3 - 4 + 129*n**2 - 65*n**4 + 66*n**4 + n**3 as q*n**3 + u + f*n + i*n**4 + l*n**2 and give l.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187\/3 + -85. Calculate the common denominator of i and 15\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-6) + 165\/30. Let m(k) = -16*k. Calculate m(t).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 7*a**4\/6 + 8*a - 2. Let y(f) = 5*f**2. Determine y(l(i)).\nAnswer: 980*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Let z be n(-3). Suppose 15 = l - 3*k, 0*k + 10 = 2*l - z*k. Let w(o) = -o**2 + o + 3. Determine w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 33744.54mg?\nAnswer: 0.00003374454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, -1, -5 in increasing order.\nAnswer: -23, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-30)*-5 + (-194)\/4. Let b be 31\/35 + (s\/(-28))\/(-6). What is the closest to 1\/7 in 5\/4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23928 and 6855372.\nAnswer: 13710744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 1756*y**3 + 73462*y**2 + 1256164*y = 0.\nAnswer: -13, 0, 58, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 2. Let i be d(2). Let f = -154 - -269. Suppose -4*v + 5*j = -f, -2*v + 4*j + 60 = i. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 12. Let x be n(11). Let o(c) = 7 - x - 19*c - 39. Is o(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 1 (c) 2 (d) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 3*q - 2*q + 13*q. Let c(d) = -8*d**2. Give j(c(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*64\/128.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11984525, 47937956, 107860341, 191751680, 299611973?\n\"Answer: 11984477*c**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326060 and 4165?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 + 10*g + 6. Let k be r(-7). Let j be k\/(-3) + (-3)\/9. Suppose -3*u + 6*u = 42. Calculate the highest common divisor of j and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2428*y**5 + 1920*y**4 - 4826858*y?\nAnswer: -48560*y**3 + 23040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1311166 and 0.77?\nAnswer: 1009597.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -46 in descending order.\nAnswer: 3, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 9:08 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1296*i**2 - 7772*i - 17. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-55)*(-2)\/(-1)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:08 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 951379181, 951379183, 951379185?\n\"Answer: 2*t + 951379179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 6*r - 7. Let w(p) = -37*p + 1220. Let o be w(33). Determine t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3) + -2)*(-30702)\/16082.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449 - 3145\/7. Which is the third smallest value? (a) -45 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111110011000111 (base 2) to base 11\nAnswer: 21aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) -1 (b) 2\/3 (c) 2\/5 (d) -4 (e) 139 (f) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 - 623091813\nAnswer: -623091813.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - j - 5, 3*n = -2*j + 4*j + 7. Suppose 2*k + 14 = n*k - l, -2*k + 4*l + 30 = 0. Suppose -v - k + 18 = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*b**2*n - b*n + 2*b + 28278*n wrt b.\nAnswer: 202*b*n - n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23*2\/759)\/((-4)\/6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 283, 669, 1239, 2011, 3003?\nAnswer: 4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41346 (base 7) in base 6?\nAnswer: 114520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 + 8*d - 5. Let p be (-51)\/(-7) - 4\/14. Let g be a(p). Let m = 45 + -133\/3. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/4) + 2. Let f(u) = -p + 9*u - u**2 - 4 + 1 + 2. Does 9 divide f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14643477791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/2? (a) -2\/17 (b) -5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 15.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - 3*sqrt(19)) + 3 + ((sqrt(76)\/sqrt(2))\/sqrt(2) - sqrt(19)) + 4)**2.\nAnswer: -28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.886 + -18.435. What is the second biggest value in 1, 0.09, w?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.7 (b) 26 (c) -1\/26 (d) 1.9 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h - 5. Suppose 31*q + 4*c = 34*q, 29 = -5*q - 3*c. Let u(x) = -25*x - 6. Determine q*b(l) + 3*u(l).\nAnswer: 21*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630117015 divided by -579.\nAnswer: 1088285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 6 - (87210\/(-209))\/51. Suppose -2\/11*x**3 + 36\/11 + y*x**2 - 58\/11*x = 0. Calculate x.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, w: 6, k: 4}. Give prob of picking 1 k, 1 w, and 1 g.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321*o**4 - 211*o + 324*o**4 + 69*o**3 - 67*o**3 + 1 to the form r + d*o + w*o**2 + z*o**3 + k*o**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1145015.\nAnswer: -3\/1145015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluzkuzulzzukzuzz. What is prob of sequence uu?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 39*i**2 - 38*i.\nAnswer: -i*(i + 1)*(i + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 250 = 670. Let j be (-4)\/(-7)*u\/20 - -8. What is the highest common factor of 42 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64262089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**4 + j**3 - j - 1. Suppose -5*f = -2*f + 9. Let q(o) = 6*o**4 - 8*o**3 + 7*o + 7. Let m(b) = f*q(b) - 21*t(b). Find g such that m(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 15*m + 13. Does 9 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2823*y - 5670 = 2808*y. What is the remainder when y is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*y + 44075*y**2 - 44068*y**2 + 162*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -644, -1583, -2900?\nAnswer: -4595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 913032695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560*i**3 + 873*i**2 wrt i?\nAnswer: 3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfofoeeecoe. What is prob of picking 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - d = -17 + 83, -2*r - 3*d = -112. What is the highest common divisor of 248 and r?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10962205 to the nearest integer?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76679615 is divided by 1377?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - 8) + (9 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-1656))*1\/3. Calculate the greatest common factor of 276 and m.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 3:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 2.3 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-15)*4)\/((-7)\/35). Suppose f*y = 3*y + 169. Calculate the remainder when 141 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -10*c**4\/3 + 16202*c**3\/3 + 15206*c**2 - 93966*c - 272664 = 0.\nAnswer: -4, -3, 21\/5, 1623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 56175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 7, t: 1, a: 10}. What is prob of sequence btb?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6087017.\nAnswer: 47, 67, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let z(h) be the first derivative of 0*h - 6 + 0*h**2 - 4\/3*h**3. Calculate z(d(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 32. Suppose -j = 5*d - 7, 5*d - r = -j + d. Let g(h) be the third derivative of -h**3\/6 + h**2. Let q(f) = -f**2 - 2. Give j*q(y) - 5*g(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57876 and 295568.\nAnswer: 46995312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453 (base 12) in base 16?\nAnswer: 16bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87622 is divided by 1879?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17011875 and 5375.\nAnswer: 17011875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334301796 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1351140, -2702269, -4053396, -5404521, -6755644, -8106765?\nAnswer: -9457884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7149 + 374734. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.8115 to 1 decimal place.\nAnswer: -75.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 13. Let k be b(14). Let c = 4 + k. Suppose s = -c*s + 56. Which is greater: s or 13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, 1, 9, 3, 5 in descending order.\nAnswer: 314, 9, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 2*v**5 + v**5 - 2*v**5)*(-7 + 3 + 2 - 4 + 2 + 0 + (4 + 3 - 5)*(-2 - 2 + 2) + 1 - 4 + 1).\nAnswer: 30*v**5 - 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (189504\/(-210))\/((-4)\/10)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 2574*l**2 - 588652*l - 586080.\nAnswer: -2*(l + 1)*(l + 296)*(l + 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plil when four letters picked without replacement from {p: 10, n: 3, i: 1, l: 2}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259.7 + 260. Which is the nearest to -32\/7? (a) -2\/9 (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1489 and 35\/11.\nAnswer: 16379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 9, -6, 24 in descending order.\nAnswer: 24, 9, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-417)\/(-973))\/((-72)\/(-1232)) - (-2 + 10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -78. Let m = o + -37. Let t be m\/(-14) + 403146\/(-126). Round t to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -6*t - 30, 2*t - t + 12 = -t - t - 6 + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:16 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 - 40*z**2 - 2*z + 24. Calculate k(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/u*u)\/(u**(-7)*u)*u\/u**1*u\/u**7*u)**22 assuming u is positive.\nAnswer: u**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (3 + 3)) + 7. Suppose f*q = 8 + 24. Let o(r) = r**3 - 3*r**2 + 3*r. Calculate the smallest common multiple of o(2) and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*j = -5*b + 10, 4*j - 20 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(-1)*0. Suppose -3*k - 2*k + 60 = b. Solve l + 4*h - k = 0, 3*l - 2 = 2*l + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let y(o) = 2*o - 26420543. Give c(y(v)).\nAnswer: -2*v + 26420543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooookk?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 21*n + 19*n - 209 + 206 + 2*n**3. Suppose 4*j + 25 = -w, -3*w + 5*j = 2*w. Let l(b) = -4*b**3 + b**2 + 3*b + 5. What is w*k(d) - 3*l(d)?\nAnswer: 2*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1000) + sqrt(10) + (sqrt(120)\/(sqrt(12) - sqrt(108)) - sqrt(10)))\/(sqrt(56)\/(sqrt(7) - sqrt(63))).\nAnswer: 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49, -232, -645, -1366, -2473?\n\"Answer: -13*g**3 - 37*g**2 + 19*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 2. Suppose -5*n + 9 = -1. Suppose o = -2*b - 1, 0 = o + n*o - 4*b - 37. What is the remainder when u(-7) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tty when three letters picked without replacement from {y: 1, w: 3, t: 5, q: 3, e: 7}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 62*z**2 + 746*z + 28. Let f be n(-12). Sort -3, -1, 17, 2, f in descending order.\nAnswer: 17, f, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-30) + -1 - 3)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 14*l**2 + 6)*(3 - 3 + l)*(-l**2 + 13*l**2 - 5*l**2).\nAnswer: -98*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -85 - 3113.2092429\nAnswer: -3198.2092429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2380*s**5 + 446944*s**4 + 1218136*s**3 - 2033744*s**2 + 369244*s - 2960 = 0.\nAnswer: -185, -4, 1\/119, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 greater than -608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7610 - 7647.845. What is v rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.994662 + 40. Round a to 4 decimal places.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a factor of 939325134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:38 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*t**3 - 986*t**3 + 1147*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 19) + 20 - -45) + -13 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 0*i**3 - 24*i**3 + 9*i**2.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 39*v - 18. Let k(u) = -5*u**2 - 39*u + 17. Give 3*h(p) + 2*k(p).\nAnswer: -p**2 + 39*p - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 7\/(-2)*80\/70\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from {i: 3, j: 12, o: 3}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + 2723 = 922 - 3139 for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from cpfpc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 0.1 (c) 1.1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 377, 836, 1479, 2306?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/4)\/(48\/13577856*-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 405304116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1. Let i = -490 - -333. Let c = i - -156.9. What is the nearest to c in 0, u, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**2 - 48*g - 1653. Does 15 divide r(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-57)\/(-30) - 1\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 18. Let w = f - 16. Let t = 6 - w. Is t greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/(b*b\/b**(2\/5)))\/(((b*b**5)\/b)\/b**(-6)))**(2\/39) assuming b is positive.\nAnswer: b**(-116\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)*(3 + -1 + 1). Let m be 2\/b - (-1)\/3*2. Suppose m = 6*l - 700 + 118. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398600\/8421 + 2\/2807. Let o = -1688\/33 - p. Find the common denominator of 5\/2 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 1:17 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2*81\/(-270))\/((-2)\/(-50))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8671996ug in kilograms?\nAnswer: 0.0000000008671996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 843836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(((-506)\/220)\/23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {n: 1, i: 3, j: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -0.118 (c) 1\/4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 7*n**2 - 12*n + 1 + 2*n**2 - 7*n**2. Suppose -1 = d + 10. Does 4 divide b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 264930 + 256*p**2 - 47*p**2 + 5*p - 264932 - 2*p**3 to w*p**2 + m*p**3 + h + x*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.79144 grams?\nAnswer: 2791440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-12))\/((-1)\/(-4)). Let j be 0*1*r\/(-2). Solve -2 + j = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.18. Let y = w - -3.1. Let u = y - 3. What is the smallest value in -1\/4, 1, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5455, 9431, 13407, 17383?\n\"Answer: 3976*m + 1479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/p*(p\/p**(-3))\/p*(p**(-2\/5))**0*((p\/(p*(p*p*p**1)\/p))**(3\/2))**(-11) assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = 635 + 85 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 9*m**2 + 17*m - 9. Suppose a = 3*a + 2*c - 6, 3*a - 4*c = -26. Let z(i) = -i**3 - 2*i**2 + 4*i - 2. Determine a*o(w) + 9*z(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 47*w - 39*w - 777 = -91*w, 3*c = 3*w + 126 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0120876192 to four decimal places.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92663763.\nAnswer: 3, 101, 305821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46715050 by -1.\nAnswer: 46715050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -3)*(-9)\/4. Let w = n - -7. Is (6 + 0)\/w + 42 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 31*q + 6. Let j be d(21). Suppose 0 = a - 3, 0*a = -2*m + a + j. Suppose -21*g - m = -25*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q - 4966 = -117*q. Let i = -378 - q. Solve -3*g - i*j + 9*j = 31, -2*g - 2*j = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36882 and 71\/217194.\nAnswer: 1954746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*l**2 - 9593607*l - 564330.\nAnswer: 3*(l - 188110)*(17*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - 80. Calculate the highest common divisor of u and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:29 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/14 + (-40)\/(-56).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 6 + 6. Suppose -4 = 2*r - d*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -5 + -7 + (-9 - -405957) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/15, -2\/5, -0.5, 8, -0.3, 13173?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18300 + -17189. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5543 and -30.8.\nAnswer: -29.2457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1266 + 2248. What is the remainder when k is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:14 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 - 7*h - 5. Let n be k(-5). Suppose 4*s + 34 = 466. Let c = n - s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81496754 a multiple of 734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.2 + -1.8. Let b = x - -54. What is the nearest to b in 0.2, 4\/9, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -206\/11, -2, 3, -2\/17?\nAnswer: -206\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1038827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 98514.\nAnswer: 98506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from aqlqqaqqaqqlaaa.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 41126015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 21 = s - 4*m, -s + 10 = 5*m. Suppose -a - k = 0, -s - 5 = -4*a + 2*k. Put 2, a, -3 in decreasing order.\nAnswer: a, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, k: 5, p: 4}. Give prob of picking 1 d and 1 k.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118446 is divided by 6915.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.141 - 1.371. What is the second smallest value in b, -6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 3*d - 2*d)*(-1 + 4 - 4) - 4*d + 2*d + 0*d)*(-2 + 3 - 3).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:15 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15579943 to the nearest ten thousand.\nAnswer: 15580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 11*v - 3. Suppose -d + 11 - 31 = 4*k, 4*d - 22 = k. What are the prime factors of f(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 9.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*o, -2*n + o - 4*o - 2 = 0. Suppose -6*a = -3*a + q + 29403, -3*a - 29385 = -n*q. What is a rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:16 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -1\/9, 4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 69?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*z + 2*z. Let b = 231 + -229. Calculate the highest common divisor of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1024 + -547. Let a(f) = 16*f - t + 477. Let r(v) = 2*v. Determine a(r(p)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*a**2*h**2 - 9*a**2 + a*h**3 + 1236*h**3 wrt a.\nAnswer: 18*a*h**2 - 18*a + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, x: 1, c: 1, u: 4}. Give prob of sequence nx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = 2*r. Let z(n) = -n**3 - n**2 - n. Let s be z(r). Let j(a) = -31*a - 3141. Let w be j(-101). Sort w, s, 5 in decreasing order.\nAnswer: 5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1060501815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -681 or -704?\nAnswer: -681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -23. Suppose 25*h - 19*h - 882 = 0. Let p = -145 + h. What is the highest common factor of p and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39801669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d8136 (base 14) to base 11.\nAnswer: 1229129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 443.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**0)\/m)\/m)\/m*m*m\/m**(-1)*m)**(-24\/7) assuming m is positive.\nAnswer: m**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25*(2 + (-3 + 6)*-1). Let s(f) = f**3 + 11*f**2 - 11*f - 13. Suppose -l + 20 = -2*y, -3*l = 2*l + 20. Let j be s(y). Is j at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + c**2 - 2554 + 2552 - 3*c**2 - 3*c**3 + 2*c - 21*c**4 to j + w*c**2 + x*c**4 + t*c**3 + g*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12289942*o**6 + 1831*o**2 - 31*o + 13 wrt o.\nAnswer: 1474793040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgggxrsssxpsggsls. What is prob of picking 1 g, 1 x, and 1 r?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46, 185, 490, 1045, 1934?\n\"Answer: 14*h**3 - h**2 + 44*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5482062*-0.5\nAnswer: -0.2741031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.1288 to 1 decimal place.\nAnswer: 104.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 - 4865*q**4 - 980610*q**3 + 102200960*q**2 - 200440480*q = 0. Calculate q.\nAnswer: -524, 0, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-3\/2)\/t)\/t)\/t)\/t*t\/(t**(-3)\/t))\/(t\/(t*(t**2*t)\/t))**(-1\/14)*(t\/t**0)**(-9\/7)*t**2*t*t**6 assuming t is positive.\nAnswer: t**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357140 and 54628?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**3))\/q)\/(q\/(q\/q**(-6)*q)*q))**37\/(((q*q**(1\/2)*q*q)\/(q**4*q))\/(q*q**1)**0) assuming q is positive.\nAnswer: q**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 34, 66, 132, 244, 414?\n\"Answer: 2*c**3 - c**2 - c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 7*i - 5. Let q(d) = 2*d - 2. Let x be q(3). Calculate the lowest common multiple of 9 and p(x).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -98*c**2. Let o(h) = -3835*h**2. Calculate j(o(v)).\nAnswer: -1441308050*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 w when three letters picked without replacement from {p: 1, a: 3, w: 1, f: 3, e: 9, t: 1}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4618*c**2 + 3. Let f = 204 - 205. Is z(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 1055*a + 17580. Calculate g(-17).\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 8, a: 1, h: 6}. What is prob of sequence app?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/5 in -0.4, 2\/15, 0.152?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-six sevenths of a week?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/673130 and -107\/10.\nAnswer: 673130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216523 - -216554. Calculate the remainder when v is divided by -13*(2 + -4)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1201710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5353*r + 5534. Determine t(-1).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 5*p**2 + p - 1. Let a be r(4). Let j(k) = 15*k**2 - 102*k + 8. Let b be j(8). What is the greatest common divisor of b and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + (2639\/(-56))\/(-13)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 63. Let p(t) be the third derivative of 0*t - 1\/525*t**7 + 0*t**4 + 1\/300*t**i + 0*t**3 + 0 + 3*t**2 + 0*t**5. Factor p(r).\nAnswer: -2*r**3*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -843, -1873, -3313, -5163, -7423?\nAnswer: -10093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3568*b**4*c**2 - 331*b**4*c - b**2*c**2 + 12*b*c**2 - 2*b*c + 4*b + 9*c wrt b.\nAnswer: -85632*b*c**2 - 7944*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8b - -1770?\nAnswer: 272b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 v when four letters picked without replacement from {v: 12, h: 2, c: 3}.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1 + 3. Let u be (k + -2)*4\/(-6). Let w be -2 - 5\/((-5)\/u). Sort w, -2\/17, 0.5 in increasing order.\nAnswer: -2\/17, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 10, 0 = t + 5*u - 0*u + 25. Sort -6, t, 4, 2 in decreasing order.\nAnswer: 4, 2, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213226529.\nAnswer: 17, 12542737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -11 (b) 2\/11 (c) 0.2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 29*x**2 - 97*x - 44. Let a be l(32). Let g be (-1)\/a*-30 + 3\/6. Sort g, -0.6, 0.3, 0.4.\nAnswer: -0.6, g, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2406 = -28*f + 525 + 37. What is the remainder when 2555 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 14*k**3 - 5*k**2\/2 - k - 31. Is r(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b2303c (base 13) to base 6\nAnswer: 1211452153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 24*y**2 + 4*y. Let p be a(24). Suppose -3*f = 3*k - 186, 27 = 3*f + 4*k - 159. Let m = p - f. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8153957 by -5.\nAnswer: -8153957\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 6}. Give prob of sequence px.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219154509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**5 + 1 - 1999*y**4 + 0*y**3 + 0*y**3 + 1997*y**4 - 9*y**2 wrt y?\nAnswer: 480*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 724 and 39316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Suppose -3*u - 2 + 5 = 0. Suppose 12 = 3*s, -2*r - 3*s = -11 + u. Let l be -1*(-1)\/(r - 0). Let b(n) = -4*n + 3. Determine l*b(v) + 3*h(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h = -67*h + 65*h - 2318 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -135, -203?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.817877 to three dps.\nAnswer: 0.818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:51 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p + 1. Let b be d(3). Is 2\/((-1)\/b) + 33 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -409, -408?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-84))\/(2\/507). Let d = 250\/13 + -701\/52. Let m = r - d. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 35*m + 4. Let w(d) = 471*d + 54. Let h(z) = -27*c(z) + 2*w(z). Let y(t) = 70*t + 10. Determine h(y(o)).\nAnswer: -210*o - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l + 31. Let v be m(-4). Let y be -2 + 128 + (-8 - v). Suppose q = -3*p + 299, 3*p - y - 176 = -3*q. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 45 = -60. Suppose 4*s - 4*q = 8, s + 3*q + 8 = c*s. Solve s*w - 6 = m - 0, m = -2*w + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -142.9.\nAnswer: -143.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*v + 70*v + 5700. Let r = 2438 - v. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-2*b - 3*b + 3*b) + 351 - 353 + 588*b - 91*b.\nAnswer: 493*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p*p\/p**(-8\/7)*p)\/(p**2)**(21\/5) assuming p is positive.\nAnswer: p**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.7 - -9.8. Let f = n - -6. What is the nearest to f in 1\/3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 49, 42, 33, 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from aaammaaaaaaaaammaaam?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 72 = j. Calculate the remainder when j is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/100 + 31*o**4\/40 + 14*o**3 + 2576*o**2. Factor v(s).\nAnswer: -3*(s - 35)*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 5207 = 227*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 561 (base 11) to base 4\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 13 = -k + 5, -3*k + 18 = -3*d. Let g be 14\/d*(1 - 3). Let p = g + -11. What is the second biggest value in -5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213, -217, -223, -231, -241, -253?\n\"Answer: -u**2 - u - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.54? (a) 4\/5 (b) 2 (c) 31\/329 (d) 0.09 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/3 - 29586*r + 5684608\/3 = 0. What is r?\nAnswer: -88822, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134660 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 4*s = -42*t - 10, 3*t + 2*s + 17 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = -42*m - 96 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -424997841716 minus -5.1?\nAnswer: -424997841710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435*0.3.\nAnswer: 130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2266*m**3 - 9*m**2 + 16*m - 26. Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6529 and 390382.\nAnswer: 383853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/18862596 and -109\/60.\nAnswer: 94312980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3\/8 (c) 6.2 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -133*n**3 + 335. Let j(c) = -67*c**3 + 166. Let p(m) = 14*j(m) - 6*q(m). Find the first derivative of p(z) wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 390\/(-3705) - (-1 + 22\/76 - -2) and -55\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2680)\/5200 + 6\/(-27)*-3 and 77\/2.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*s + 30, 7 = -5*w + 5*s - 38. Let f be 1\/w + (-1)\/(-4). Solve f = 2*k + 2, q + k - 2 - 2 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43\/4 + 2\/8. Let y = q - 16. What is the remainder when 10 is divided by 5*y\/(75\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*d - 13*d + 7*d + 38*d)*(4 + 1 - 2).\nAnswer: 279*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd3c - 300?\nAnswer: -d13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 3*f - 40. Let w(a) = 3*a**2 - 2*a - 9. Is w(f) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139.5 + 141.5. Let v = 5.7 + -0.7. What is the closest to 0.01 in l, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -258\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -u - 61, 84 = 4*q + 3*u + 7. Suppose q*i + 48 = 128. Solve -2*s + 3 = -2*c - 3*s, i*c + 21 = 3*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + -1.8. Let u = 0.4 - t. Let l be (24\/(-4))\/((-2)\/(-1)). What is the second biggest value in l, u, 5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let z = -14 - -7. Let x be b(z). Calculate the common denominator of -1\/14 and (-3)\/x*(-54)\/(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*x**2 - 190*x + 19676?\nAnswer: 46*x - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 14*a + 17. Let q be x(-15). Let w = q - 0. Solve 0 = -w*b + 8 - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nofo when four letters picked without replacement from omnmoomooomofmmfof?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134499524?\nAnswer: 2, 47, 715423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 9*q**2 + 9*q - 5. Let k(g) = -g**3 - 2*g**2 + 2*g - 1. Give 2*h(a) - 9*k(a).\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/12264907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97, 181, 265, 349, 433, 517?\n\"Answer: 84*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 - -31521162?\nAnswer: 31521021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - ((-26 - -20) + -4 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (4 - (-1 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/291 + 275\/1164. Which is the closest to 2\/3? (a) -5 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/12 + 19*m**3\/6 + 7*m**2 + 40*m. List the prime factors of t(17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 3875.\nAnswer: 3875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-2 - 66\/3). Let k = -12 + h. Solve 2*u = -5*c + k, 4*c + 11 = 5*u - 0*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/21 + 8*c**4\/3 - 52*c**3\/7 + 152*c**2\/21 - 50*c\/21 = 0. Calculate c.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 28*m**2 - 5*m + 21. Let h(o) = o**2 - 2*o. Let c(r) = -5*h(r) + p(r). Let z be c(-6). Suppose -7*v + 4*v = -z. What are the prime factors of v?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1050)\/(-1225)*(-285)\/342*(-56)\/(-290).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 4) in base 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2916*v**2 + 5842*v**2 - 1 - 2918*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -18. Suppose 4*d + 6 = -r. Let i(q) = q**3 + 6*q**2 - 6*q + 9. What is i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 5*y + 1. Let k be i(2). Let l be ((3\/2)\/(7\/14))\/k. Let d be (3 + 21\/(-9))*6*l. What is the closest to -0.1 in -0.1, 2, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3. Let j(x) = -5*x**2 - 19*x**2 + 37*x**3 + 21*x**3. Let c(y) = j(y) + 3*w(y). What is the third derivative of c(z) wrt z?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1 + sqrt(704))**2 + -6*sqrt(33)\/sqrt(3) + sqrt(11).\nAnswer: -37*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125441 is divided by 865.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 20 - 36*z**2 + 27*z - 7*z + 40*z**2 - 10*z**3 + 9*z**3. Let k be y(7). Solve -2*c + k = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-10) + ((-41800)\/(-375))\/11)*(-4)\/(-42). Factor -8\/9 - 2\/9*b**3 + 2\/9*b + w*b**2.\nAnswer: -2*(b - 4)*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-2\/9)*d*d*d**(-8)*d**1*d**(1\/5)*((d\/d**(-1\/5))\/d*(d**(-7\/2)*d)\/d)\/(d\/((d\/d**2)\/d*d*d))**25 assuming d is positive.\nAnswer: d**(-2779\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -16 = -y - w*b, 0 = -y - 9*b + 4*b + 19. Factor 0*f**y + 2*f**4 - 3*f**2 + f**4.\nAnswer: 3*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y - 26334 = 168*y. Sort 2, -4, y.\nAnswer: y, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63887.9999856342 + -63888. Round h to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11460 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**2 - 2814*h + 659868. Let a(c) = 3*c**2 + 3. Let z(v) = -5*a(v) - t(v). Factor z(n).\nAnswer: -3*(n - 469)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.411 + -0.011. Let x = y + -1.6. Let l = -0.11 + 0.21. Which is the second biggest value? (a) 3\/7 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2693188 and 208.\nAnswer: 140045776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*v + 7 = 0, 5*n + 0*n + 4*v = 19. Suppose -n*y - y = -252. What is the highest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (3 - 34) - 10) + (-12 - -16 - -14).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z + 0*z**4 + z**3 + 1\/10*z**5 + 0*z**2 + 0. What is the second derivative of t(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(288)*-5.\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6) - (-4 - (-125)\/30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from {d: 3, v: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -5607.\nAnswer: 1\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*c + u - 171, c + 57 = 5*u. Let a = -39 - c. Solve 0 = -5*p - a - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461637.6268 rounded to the nearest 1000?\nAnswer: 462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6786 divided by -174.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -51, -125, -229?\n\"Answer: -15*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - p**2 + p - 8. Let q(i) = -i**3 + i**2 + i + 2. What is f(g) + 4*q(g)?\nAnswer: -2*g**3 + 3*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 350*j + 1. Let h be d(-1). Let a = 792 + h. Suppose 4*i + 4*w = 356, -2*i - 3*w + a = 3*i. What is the greatest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -10)\/((-8)\/16) - -9. Suppose -4*i - 3 = -31. Suppose -z*w = -i*w + 48. Solve -2*o = -0*o + 2*r + w, -2*r = 3*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5. Does 19 divide d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let h(m) = m**2 + 2*m - 2. Let u be h(-3). Let g be d(u). Let b be 1115\/15 + 2\/g. Calculate the greatest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**3 + 8*d**2 + 2*d + 3. Let r(v) = -9*v**3 - 8*v**2 - v - 2. Let a(p) = -4*h(p) - 5*r(p). Give a(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/6 + 26*q**3\/3 - 48*q**2 - 324*q - 1. Factor i(k).\nAnswer: -2*(k - 24)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 7}. What is prob of picking 3 y and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 13510203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10110000100110111?\nAnswer: -10110000100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*107546\nAnswer: 5592.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(252) - sqrt(252))*-6 - (0 + (sqrt(252) - 6*(sqrt(252) + sqrt(252) + 1))))**2.\nAnswer: 2376*sqrt(7) + 30816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -106124828*q**2. Let x(z) = 2*z**2. Calculate x(f(c)).\nAnswer: 22524958236059168*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72621278047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(1*sqrt(11) - sqrt(11)) + (-4 + 1 + sqrt(275))**2 - (sqrt(396)*3*-4 - (-1*sqrt(396)*5 + sqrt(396)))**2.\nAnswer: -25060 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86019.\nAnswer: 3, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216164 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1865*i**2 - 1865*i**2 - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8215*w**3 + 4055*w**3 - w + 3834*w**3 as x*w**3 + a*w**2 + h + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 1. Let o(j) = -3*j + 3. Let c be (-9)\/252*4 + 13\/(-7). Give c*w(q) - o(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/3 - 24. Find the common denominator of 55\/2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - w = -5*w - 1568, 5*w = 2*x - 1564. Suppose -302 + x = 2*y. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 4*l - 1 - 261*l**3 + 2 - 7*l + 5*l. Let k be m(-1). Let n = k + -177. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -298, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-5)*(-15)\/42. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-7)\/28*0. Solve 3*t + 3 = -3*m, -m = 2*t - u*t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1188\/(-66) - 128\/(-7). What is the fifth biggest value in d, 2, -10.93, 3, 1\/3?\nAnswer: -10.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/36*0*-1. Suppose 8*p - 12*p - 4 = u. Which is smaller: p or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -390 (b) 1 (c) 2 (d) -2\/3 (e) 2\/27 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**5 - 9*l**4 - 11*l**3 + 17*l**2 + 8*l + 4. Let m(t) = -t**3 - 2*t**2 + t - 1. Let z(p) = i(p) + 4*m(p). Factor z(j).\nAnswer: 3*j*(j - 4)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q*x**3 + 191*q*x**2 + 9*q*x - 1221925*q - x**3 + 738*x**2 + 4*x wrt x?\nAnswer: -132*q*x + 382*q - 6*x + 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 159*x + 485. Let h be y(-3). What is the closest to h in -3, 0, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35*g + 22. Let z(i) = -20*i. Give j(z(l)).\nAnswer: -700*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 728698*q**3 + 140010*q**2.\nAnswer: 4372188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 86 = 20. Let l be (-5)\/(15\/6)*o. Suppose 2*f + x = l, -3*f + 3*x - 267 = -8*f. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011020212121 (base 3) to base 11.\nAnswer: -390219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/641 and (93\/3 - 4)\/(2 + 8)?\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 + 10*y**2 + 4*y + 8. Let h(x) = 5*x**3 + 10*x**2 + 5*x + 9. Let i(f) = -5*h(f) + 6*p(f). Let t be i(10). Let b = t + 10. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*d - 139, -a + 49 = -0*d + d. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 40. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1217121*m - 608562*m - 608559*m - 117*m**2 - 1.\nAnswer: -117*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1\/9, 0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 + 2*x - 3. Let f be z(1). Suppose 50 = f*w - 16. Solve w*b + 16 = 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 - 2*i. Let s be 2\/(-9) + ((-79)\/9 - 2). Let f(w) = 16*w**3 - 11*w - 1. Let j(k) = 3*k**2 - 1. Let g be j(1). Give g*f(d) + s*c(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*z + 35905 - 33885 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/2 + 58*i**3\/3 + 336*i**2 - 21888*i - 3202. Determine c, given that x(c) = 0.\nAnswer: -19, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60693.7 * -5.\nAnswer: 303468.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17684 + -123790\/7. What is the third smallest value in -188\/9, 2\/13, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)\/sqrt(5)*-2)\/(sqrt(147) + (sqrt(147) - 5*sqrt(147)) + sqrt(147)))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003159569 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 59. Let m(h) = 5*h - 2. Let s be m(2). Solve -s = -3*r - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 38, 45, 54?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28981, 58003, 87025, 116047, 145069, 174091?\nAnswer: 203113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 232*h - 696. Let r be l(3). Let g(p) be the first derivative of 31\/3*p**3 + 11\/4*p**4 + 0*p + r*p**2 - 35. Find the third derivative of g(s) wrt s.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 343057*j**2 + 16545.\nAnswer: 686114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 482470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 3719*r**4\/12 - r**3\/6 - 168*r**2 + 172*r - 2. Find the second derivative of y(n) wrt n.\nAnswer: 7438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -6 - (-2 - -4 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -470415 - -1?\nAnswer: -470414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/17)\/(h*h\/(h**(-2\/9)*h)*h))**14 assuming h is positive.\nAnswer: h**(-5012\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 8*z. Let g(x) = -3*x**2 - 2602*x - 1. Determine 5*b(j) + g(j).\nAnswer: 2*j**2 - 2562*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 11. Let b be y(11). Let f be -5 - -16 - b*(-1 + 0). Solve 4*l + f = 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:00 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 138010 divided by -2\nAnswer: -69005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let w = q - -3. Let f = 6.758 - 3.758. Put -3\/7, f, w in descending order.\nAnswer: f, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moatttttnanatmf. Give prob of sequence nf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -112000, -111986, -111972, -111958?\n\"Answer: 14*a - 112014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 70. Suppose 3*u - l = -2*u. Let g = u + -7. Solve s + g = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027764225 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 62*l**3 - 156*l**4 - 24*l + 96*l**4 - 3 + 62*l**4 - 57*l**3 + 23*l to the form s*l**2 + y*l + r*l**4 + t + m*l**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(0 + -1)*(7 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 1276 = -1326. What is the biggest value in -252, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/3 + h. Suppose 0 = -4*x + 2*x + 4. Let i(f) = -4*f**2 + 0*f**2 + 2*f**x. Give o(i(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2643134, 5286363, 7929592, 10572821?\nAnswer: 13216050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29533 - 17969. What are the prime factors of p?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 23*z + 5. Let y(u) = 23*u + 6. Calculate 3*h(f) - 2*y(f).\nAnswer: 23*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 81, 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 20*m + 332. Give b(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06786 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11646 - 58236\/5. Let o = -4 - -3. Which is the closest to m? (a) 2\/7 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 2, e: 2}. Give prob of sequence rde.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 409572 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -32. Suppose -4*x = d - 20, -5*x + y + 16 = 4*d. Suppose 5*v - 10 = -2*q + 5*q, 2*q + 4*v - 30 = 0. Solve j = -d*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.6. Let g(r) = r**2 + 2*r. Let i be g(-3). Let l be 14\/12 + (-2)\/i. Which is the closest to l? (a) -1\/4 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2612 - 11025570349.\nAnswer: -11025572961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + -1949)\/(-6) - 5\/(-1).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1629.087 to the nearest ten.\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 28*h + 51 = -3*v - 30, 5*v + 120 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g - 3, 3*a + 13 = -g. Let m be (a - (0 + -4))*1\/2. Let m + 2\/5*d**2 + 2\/5*d = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*s + 668*c**3 + 25224*s wrt c?\nAnswer: -9*c**2*s + 2004*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(10))\/sqrt(6) - (4*sqrt(2) + 2).\nAnswer: -3*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1235*b**3 - 66*b**2 + 130*b**2 + 68*b**5 - 80*b**5 - 64*b**2 + (b**2 + 2*b - 2*b)*(4*b**2 - b**3 - 4*b**2).\nAnswer: -13*b**5 - 1235*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 30 = -12*q. Find m, given that -3*m**3 + 9\/2*m**5 - q*m**2 - 3\/2*m + 6*m**4 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 193664, 193631, 193538, 193355, 193052, 192599, 191966, 191123?\n\"Answer: -5*r**3 + 2*r + 193667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f - 21*f - 5*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 4872*l**2 - 9741*l - 4870 = 0 for l.\nAnswer: -4870, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 530.7076nm?\nAnswer: 0.0005307076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73546)\/(-3410) - 21) + (-2)\/(-62).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*i - 56 = 0, -4*t + 87 - 19 = 5*i. Let u be 4388\/(-18) - t\/99. List the prime factors of (-1 + 4)\/((-12)\/u).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1 + 2*(sqrt(77) + (sqrt(77) - 1*sqrt(77))))\/((sqrt(28) - sqrt(28)*-2) + sqrt(7) - sqrt(28)\/sqrt(4)*5).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 28*z + 980 = 31*z. What is the highest common divisor of 3556 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 + -179. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 13. Let y(b) = 17*b**2 + 27. Let r = 19 - 17. Let g(v) = r*y(v) - 5*h(v). Find the first derivative of g(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372171523 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -6 + 16. Suppose 5*a + 20 = 5*h - b, -2*h = -a - 12. Let y(z) = -z**3 + 6*z**2 - z + 8. What is the smallest common multiple of 10 and y(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58778174*c**4 - 462821556 wrt c?\nAnswer: 235112696*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*m + 5*k, -45 = -3*m - 5*k + 6*k. What is the highest common divisor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -649 + 2120. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20)*-5)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 599883 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {g: 1, r: 1, w: 1, e: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -239 (base 16) to base 11.\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - (-4118)\/497. Solve m = 4*m - 15, 3*l = -m + q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 16. Solve 20 = -j + 5*v, -o*v = 4*j - 4*v - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21428*x**3 - 10324*x**3 + 2 - 2 - 11097*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1632\/(-176) - -8?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 6. Suppose r*l = 78 + 170. Let b = l - 46. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-42)*1*699\/(-466)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 16, 19?\n\"Answer: 3*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/6, -165, 0.781, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3840 and 15040?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1743 - 1749. Let l(y) = -8*y**3 + 7*y + 9. Let q(o) = 7*o**3 - 6*o - 8. Determine s*l(n) - 7*q(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 140. Which is the second smallest value? (a) -10 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-795)\/1590*2\/2818. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w, -85*y = -86*y + w + 99. Let c(j) = -j**3 - 5*j**2 - j - 5. Let h be c(-5). Suppose n + h*n = y. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((-2 - 56) + -292 + 322).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 12:32 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**2 + 18*h - 4 - 101*h**2 - 12*h**2 + 1 - 155*h**2.\nAnswer: -243*h**2 + 18*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/48 + 2\/3. Let z = 23 + -26.1. Let d = -0.1 - z. Which is the closest to g? (a) d (b) 4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 2. Let s be r(-2). Let a be (6\/s)\/(-3) + 6. Let q be a + -1*(0 + -1). Solve -d + 2*t - 7 = 0, t + 0*t - q = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let j(y) be the third derivative of -y**5\/24 + y**3 + 2*y**2. Let x(g) be the first derivative of j(g). What is x(r(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/742 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 73*z**5\/30 - 11*z**3\/3 + 12*z**2. Differentiate s(f) with respect to f.\nAnswer: 292*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*8\/(-1836)*(-1224)\/68.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 17*p**2 - 20*p - 24. Let u be h(8). Let f = 394 - u. Solve 4*x + f = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -47.8. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*v*x - 175*v wrt x.\nAnswer: -197*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35221 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 2 + 1082*y - 930*y + 4.\nAnswer: 152*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 + 8*g + 5. What is the remainder when p(6) is divided by (-380)\/(-57) + (-2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770751807.\nAnswer: 677, 4092691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**3 - 3*n + 1. Let f(i) = -i**2 - 77*i - 1394. Let p be f(-29). Determine u(p).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*f + 3*j, 5*f = 5*j + 35. Let g be (0 + -2)\/(14\/(-35)). Suppose f*m - 2*m = u - g, m + 1 = -u. Is m bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 4*r**2 - r + 5. Suppose -8 + 4 = -d. Let v be a(d). Let k be 0\/((-6)\/2 + v). Solve 5*t - 21 - 4 = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11488, -11506, -11550, -11632, -11764, -11958, -12226?\n\"Answer: -2*p**3 - p**2 - p - 11484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -88. Is 2 + (895\/v - -4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 334449?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -726 - -4?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3002083, -6004166, -9006249, -12008332, -15010415, -18012498?\nAnswer: -21014581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*g - 253 - 272. Suppose i = g*i - 88802. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 0 + 5 - 2*o**2 - 3. Let w(z) = 5*z**2 + 8*z - 6. Let u(v) = -v**3 + v - 2. Let b be u(2). Let d be 4 + (-4)\/b*-14. What is d*w(l) - 8*p(l)?\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klax when four letters picked without replacement from {k: 2, a: 2, n: 7, l: 2, x: 2}.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -3 (c) -1.1 (d) 2032 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -13 - (3 + 2 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-174)\/(-42) - (7 + -1 + (-8480)\/(-224)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 13. Let x(a) = -7*a - 21. Let r(g) = 5*k(g) + 4*x(g). Let f(z) = 2*z**2. Determine r(f(t)).\nAnswer: -6*t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 88772108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/168)\/((3\/6)\/(3\/14))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 1\/3 (c) -1 (d) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81060.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3198210 - -5\nAnswer: -3198205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3097, -3102, -3109, -3118, -3129, -3142?\nAnswer: -3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.024814, -3, -0.4, 0.1 in increasing order.\nAnswer: -3, -0.4, -0.024814, 0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 310, 302, 294?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 1. Let q(i) = 9*i + 1. Let a(j) = 7*b(j) - 3*q(j). Let p(m) be the third derivative of m**4\/24 + m**3\/2 + m**2. Calculate -5*a(y) + 7*p(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51601514 to the nearest integer?\nAnswer: 7183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 5*l - 5. Let k = 26 + -16. Let z(u) = -3*u**2 + k - 5*u - 2*u - 17. Calculate -7*r(h) + 5*z(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r. Let f = -13 + 18. Let i(u) = -u + 5*u - 3*u. Let p(c) = f*i(c) - b(c). Let l(s) = s**2. Calculate p(l(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132705 is divided by 1163?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 12*n - 2088. Let q = n - 515. Calculate the remainder when 18 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549957169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*k*l**2*p**2 + 70417*k - 336933*l**4 - 4*p**2 + 2*p + 9 with respect to l.\nAnswer: -42*k*l*p**2 - 1347732*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3657, -7317, -10977?\n\"Answer: -3660*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180711.17 + -179906. Round d to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85116 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**6\/600 + 9*b**5\/200 - b**4\/5 + 51*b**3 - 123. Let h(l) be the third derivative of d(l). Factor h(x).\nAnswer: -3*(x - 8)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795986 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422584 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/4)\/((-13)\/(416\/40)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.22283, 0, -2, 3 in ascending order.\nAnswer: -2, -0.22283, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 11 - 4*s**3 + s**3 - 6*s**3 + 12. Calculate d(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 20, 2*t = 3*s - 142 + 204. Calculate the lowest common multiple of 400 and t.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 + 8. Let g = -189.2 - c. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2691.7221 months to years.\nAnswer: 224.310175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 122 - 222 = 0. Solve 7*v - s + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 40 + 2*i**2 - 25 - 7*i - 16 to j*i + o + v*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 3\/11 (b) 7983 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*1\/(-3). Let i = -850 + 173. Let z = i + 678. What is the nearest to l in -0.5, 0, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 14*p + 10*p - 57*p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/6 + 36*a**2 + 2*a. Let b be 70\/8 + 3\/(-4). Let f(d) = -d - b*d + 9*d + 3*d**2. Give r(f(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 4. Let z(h) = 7*h - 9. Suppose -2*c = 3*n - n - 6, 0 = 5*n + 5. Suppose -16 = -y + 4*a + c, 5*y - 5*a = 40. Calculate y*z(v) - 9*s(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-1) - (-2)\/(14\/(-35)))*76\/152. Determine c so that c**3 - 12\/5*c + 8\/5*c**j + 0 - 1\/5*c**4 = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12573 and 51\/7493.\nAnswer: 741807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 6 + 22 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 3)*((5 - 2 - 1)*(-3*x + 3*x - 2*x) + 3*x - 4*x - 2*x - x - 3*x + 2*x).\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/14*83104\/25970.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9223, 36847, 82823, 147151, 229831, 330863, 450247?\nAnswer: 587983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 354 = 6*t. Calculate the remainder when t is divided by -8*5*12\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 710 - 345. Suppose 2*s - 3*u + w = 4*s, 0 = 2*s + 4*u - 216. Does 42 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.858? (a) -4491 (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6447*d**3 + 11109*d**3 + 424 + 1260 - 6781*d**3 wrt d?\nAnswer: -6357*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-two fifths of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 + 2*c + 3. Let z be a(-2). Let d = z + 13. Let n = 11 + d. Put -1, -4, n in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a + 4. Let i be q(4). Is 0 - 7\/((-7)\/i) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212 = -7*j + 8037. Let o = j - 618. Suppose -k + o = f - 1839, -5*f = -5. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4647510 to the nearest ten thousand.\nAnswer: 4650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -254*c + 250*c + i, 2*c - 42 = 4*i. Factor 16\/7*k**2 + 0*k - 4\/7*k**c + 0 + 0*k**3 - 12\/7*k**4.\nAnswer: -4*k**2*(k - 1)*(k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 19*a**2 - 40*a - 1194. What is d(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 0, 4*p = 5*h + 2*p - 10. Let a be h - 3\/(0 + (-12)\/330392). Round a to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/13, -3\/5, -0.1, -2, -2\/1081 in descending order.\nAnswer: 12\/13, -2\/1081, -0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (277\/((-191961)\/330))\/(6*4\/(-42)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-1)*3\/36)\/((-189)\/42).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + 57. Let n be a(-11). Suppose -5*m + 1 - 51 = 2*j, -30 = 5*m - n*j. Which is greater: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffq when four letters picked without replacement from ffqqf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 260 (b) 1.59949 (c) -2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.6 + 25.6. Let i = 0.6 - 1. Let n = 3 - 4. Which is the closest to n? (a) -4 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 57 = -z - 66, -10*q - 21*q = 3*q - z - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -495040.385 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + -1.76.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1526779 and 1206357.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhhhhhhhhmhhhhmhhmh. What is prob of picking 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -32802342?\nAnswer: -5\/32802342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(sqrt(648)*-2))\/(2*(sqrt(2) - sqrt(2)*1*4)))**2.\nAnswer: 7\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-24))\/((-3)\/48). Does 11 divide 1645\/14 + (-6)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3298 + -3305 + (-17 + 16 + 2 + 1 - 31)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2158.42 and -0.232.\nAnswer: -500.75344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Let u be (-2)\/2 - -2 - 1. Let b(t) = 2*t**2 - 10*t - 135. Let y be b(-6). Put u, d, -5, y in decreasing order.\nAnswer: d, u, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*-3*(sqrt(99) - 1*sqrt(99))*5)\/((sqrt(72) + 2*sqrt(72)*-3)\/(4*sqrt(8)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 1 + c**2 - 1 to the form s*c**2 + z + k*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 5*q + 5*q. Let d(x) = -x - x + 6*x + 0*x. Determine d(p(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -96. Let r(t) = 114*t - 250. What is the hundreds digit of r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 881?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, -21, -82, -197, -384, -661, -1046, -1557?\n\"Answer: -3*f**3 - 4*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 513.076 + -513. What is the third smallest value in 1, 0.3, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5471, 5298, 4983, 4520, 3903, 3126, 2183, 1068?\n\"Answer: -w**3 - 65*w**2 + 29*w + 5508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503108 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.589875 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -16. Let c(t) = 29*t - 19. Calculate the remainder when c(1) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 20. Suppose -12*g + y = -14*g. Put 3, -6, g in decreasing order.\nAnswer: 3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.4952*408.\nAnswer: -4282.0416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1405, 12338, 41991, 99718, 194873, 336810, 534883, 798446?\nAnswer: 1136853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.967149 centimeters?\nAnswer: 69671.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19.9. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:16 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.3633953?\nAnswer: 1.8169765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {i: 2, l: 3, m: 4, h: 8}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 + 1. Let u(d) = -10*d**3 + 8*d**2 - 2*d + 8. Suppose -r - 2*m + 16 = 0, -m = 4*r - 0*m - 43. Let w be (4\/r)\/(9\/180). Give w*n(a) - u(a).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.5 (c) -3\/10 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -12*d**3 + 16*d**2 - 77. What is the second derivative of h(r) wrt r?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g. Let z be a(5). Let x be (6\/z)\/(14\/35). Suppose -x = 4*k - 19. Calculate the greatest common factor of 16 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -158741, -1.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13723 or 2?\nAnswer: -13723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.71 and 3.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29919, -30005, -30119, -30255, -30407, -30569, -30735?\nAnswer: -30899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54287765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 0*w. Suppose w*z = -2*z + 64. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f - 7. Let t be r(6). Let s = t + 11. What is the first derivative of -337*v - 21 + 337*v - 18*v**s wrt v?\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4) + (-6)\/12. Let c = 9 + n. Let l = 2 - 1. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4924\/55 or 91?\nAnswer: 4924\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23372715.\nAnswer: 3, 5, 23, 37, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -545 + -8a56?\nAnswer: -94a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -33?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -28. Suppose 3*j + 4*w = -12, 0*j - 2*w - a = 2*j. Let d = 0 - 0.1. Sort d, 0.3, j in decreasing order.\nAnswer: 0.3, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.93?\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62.781 from -1.\nAnswer: 61.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxffffffdxfffdbdaf. Give prob of picking 1 a and 1 x.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6345 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let h(u) = -16384*u**2 - 672*u. Let k(o) = -862*o**2 - 35*o. Let a(j) = -5*h(j) + 96*k(j). Calculate a(b(r)).\nAnswer: -13312*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588\/16 + 1\/4 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -3, 1\/7, 7876547 in increasing order.\nAnswer: -3, -0.02, 1\/7, 7876547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6800, -6786, -6754, -6698, -6612, -6490, -6326?\nAnswer: -6114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2eb?\nAnswer: -2e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20491861 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 11. Let h be m(-13). Suppose -3*i - 420 = -4*w - h, 299 = 4*w - i. Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 5*m - 3. Let s = 14 + -9. Calculate c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -356 (b) -1.9 (c) -26 (d) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*r + 45 = 0, 21*h + 3*r = 23*h + 15 - 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*(-35)\/(-399).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - 20013221?\nAnswer: -20020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(9\/(-6)*1). Let a be 3\/(q\/4 + -1). Find the second derivative of -3*n**4 - 3*n**a + 2*n**2 + n**2 + n wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -268, -17, -5, -0.4 in decreasing order.\nAnswer: 1, -0.4, -4, -5, -17, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1680.\nAnswer: -1679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -100. Let p be 4 + -56*(x - 4). Calculate the highest common divisor of 57 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let j(r) = -220*r - 2. What is j(n(m))?\nAnswer: -220*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3243\/176 - 1049947\/2640. Let q = 416 + b. Let a = 3.1 + -0.1. What is the nearest to -1\/2 in -2\/9, q, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1\/(2\/4). Let p = -0.1 - -3.1. Let s = 10195 - 10194.9. Which is the closest to s? (a) t (b) p (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9136103 is divided by 1595?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 84 = -5*d. Suppose 3*n - 7*n = -d. Let t be 18 - n\/((-14)\/4). Solve 2*u + 2*u + 2*w = -10, t = -4*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.98 - 3. Let f = -1.98 + m. Which is the biggest value? (a) f (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {f: 13, k: 2, l: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1957*s + 3914. Let j be v(2). Suppose -99 = 5*r - 14. Let l = -12 - r. Solve j = l*q - 4*k - 16, -q = 4*q + 2*k + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 5*c + 177. Let u = c - -66. Solve 7*p - 9 = u*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-25) - 7*-1 - 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 84. Let k = 34 - i. Which is greater: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5015 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -124 + bab?\nAnswer: a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 4*z**2 - 4*z**2 - 2*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2631 - -10392. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(-1 + -11). Let k = -605.099 - -604.599. Put -5, k, g in increasing order.\nAnswer: g, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 8*t - 14. Let k be r(5). Which is bigger: k or 3\/361?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40296)\/45771 - (-60)\/55\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1451 by 4445.\nAnswer: 1451\/4445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 45. Let t(d) = -12*d - v + 19*d + 5 + 1. Let z(u) = -8*u - 6. What is 6*t(b) + 5*z(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 24*s = 330 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -5) - (14 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -951 + 639. Let o = -220 - j. Suppose -2*u + o = 2*y, y + 148 = 4*y + u. Calculate the greatest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -24. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(63) + 2.\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 33?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 63 + 102. Let s be 7 + 0 - (1 - 2). Suppose 36 = 5*d + 4*j, -j = -d + 1 + s. Solve -7 = -3*g + d*g + 3*b, 5*b - k = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 561544.2ml?\nAnswer: 561.5442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*-2)\/((-25)\/((-900)\/63)*(-56)\/(-147)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*r - 23. Calculate the highest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17069, -17060, -17043, -17018?\nAnswer: -16985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 18 + 80 = 2*w, -93 = -3*i - w. Let p = i + -32. Is p > 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 169 = 5*v. Let b = v + 27. What is the third derivative of 8*d**4 + 0*d**4 + 9*d**2 + 0*d + b*d wrt d?\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.339734 + 9.4646. Let n = -0.875 - -1. Let d = u - n. Round d to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12 - a - 2 + a**2 - 2*a**3 + a**3 + 6*a**2. Is 9 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14347523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -385234219, -770468438, -1155702657?\n\"Answer: -385234219*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from {f: 2, y: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -840 + 575. Let p = w + 582. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*b*j - 52*b + 11*j*x**2 + 7*j*x - 2*x**2 + 111*x wrt j.\nAnswer: 31*b + 11*x**2 + 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 - (-3 + -16 + 35 + -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1220586 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6460758 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/12 - 2\/8. Let g = -5 - i. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 60*w + 8*w**2 + 60*w - 2 + w**3 to g + j*w**2 + k*w + i*w**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 63.65. Let z = r - -0.35. Let u = z - -16. Are -2\/11 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etezetttteettttew. Give prob of sequence wetw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10 + 19012\/140. Let o(j) = j**3 + 7*j**2 + 3*j - 3. Let r be o(-6). What is the highest common divisor of r and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218696328.\nAnswer: 2, 3, 23, 44021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}